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amentablen

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There are 10 letters in AMENTABLEN ( A1B3E1L1M3N1T1 )

To search all scrabble anagrams of AMENTABLEN, to go: AMENTABLEN?

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8 letters out of AMENTABLEN

AMENABLE ENTAMEBA NAMEABLE TAMEABLE TANNABLE

7 letters out of AMENTABLEN

AMEBEAN EATABLE EMANANT EMANATE ENEMATA LAMBENT MALEATE MANATEE NAMABLE TAMABLE TELEMAN TENABLE

6 letters out of AMENTABLEN

ABLATE AMEBAE AMEBAN ANNEAL BALEEN BANNET BANTAM BATMAN BATMEN BEATEN BEMATA BEMEAN BENAME BENNET ENABLE ENAMEL LAMENT LANATE LATEEN LENTEN MALATE MANTEL MANTLE MEATAL MELENA MENTAL NEATEN TAMALE

5 letters out of AMENTABLEN

ABATE ABEAM ABELE ALANE ALANT ALATE AMBLE AMEBA AMENT ANELE ANENT ANNAL ANTAE ATMAN BANAL BENNE BETEL BLAME BLATE BLEAT BLENT EATEN ELATE ENATE ENEMA LATEN LEANT LEBEN LEMAN MANAT MANNA MANTA MEANT MENTA METAL NATAL TABLA TABLE TAMAL TELAE

4 letters out of AMENTABLEN

ABET ABLE ALAE ALAN ALBA ALEE ALMA ALME AMEN ANAL ANNA ANTA ANTE ATMA BAAL BALE BALM BANE BATE BEAM BEAN BEAT BEEN BEET BELT BEMA BENE BENT BETA BLAE BLAM BLAT BLET ELAN ETNA LAMA LAMB LAME LANE LATE LEAN LEET LENT MABE MALE MALT MANA MANE MATE MEAL MEAN MEAT MEET MELT META METE NAAN NABE NALA NAME NANA NEAT NEEM NEMA NENE TAEL TALA TALE TAME TEAL TEAM TEEL TEEM TEEN TELA TELE

3 letters out of AMENTABLEN

AAL ABA ALA ALB ALE ALT AMA ANA ANE ANT ATE BAA BAL BAM BAN BAT BEE BEL BEN BET EAT EEL ELM EME ETA LAB LAM LAT LEA LEE LET MAE MAN MAT MEL MEN MET NAB NAE NAM NAN NEB NEE NET TAB TAE TAM TAN TEA TEE TEL TEN

2 letters out of AMENTABLEN

AA AB AE AL AM AN AT BA BE EL EM EN ET LA MA ME NA NE TA

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Amentablen might refer to
An Amenable number is a positive integer for which there exists a multiset of as many integers as the original number that both add up to the original number and when multiplied together give the original number. To put it algebraically, for a positive integer n, there is a multiset of n integers {a1, ..., an}, for which the equalities*
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* {\displaystyle n=\sum _{i=1}^{n}a_{i}=\prod _{i=1}^{n}a_{i}}
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* hold. Negative numbers are allowed in the multiset. For example, 5 is amenable since 5 = 1 + (-1) + 1 + (-1) + 5. All and only those numbers congruent to 0 or 1 (mod 4), except 4, are amenable. (Tamvakis & Lossers 1998)
* The first few amenable numbers are: 1, 5, 8, 9, 12, 13 ...  A100832
* A solution for integers of the form n = 4k + 1 could be given by a set of 2k (+1)s and 2k (-1)s and n itself. (This generalizes the example of 5 given above.)
* Although not obvious from the definition, the set of amenable numbers is closed under multiplication (the product of two amenable numbers is an amenable number).
* All composite numbers would be amenable if the multiset was allowed to be of any length, because, even if other solutions are available, one can always obtain a solution by taking the prime factorization (expressed with repeated factors rather than exponents) and add as many 1s as necessary to add up to n. The product of this set of integers will yield n no matter how many 1s there are in the set. Furthermore, still under this assumption, any integer n would be amenable. Consider the inelegant solution for n of {1, -1, 1, -1, n}. In the sum, the positive ones are cancelled out by the negative ones, leaving n, while in the product, the two negative ones cancel out the effect of their signs.
* Amenable numbers should not be confused with amicable numbers, which are pairs of integers whose divisors add up to each other.
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