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331044434241312 = 253111933162177469
BaseRepresentation
bin100101101000101010100100…
…1111010000110011100100000
31121102010112112210221002212110
41023101111021322012130200
5321342313000131210222
63132023414045555320
7126505112454556341
oct11321251172063440
91542115483832773
10331044434241312
1196532179900650
1231166767275b40
131129448275377c
145ba68c96a60c8
15284135acd530c
hex12d1549e86720

331044434241312 has 96 divisors (see below), whose sum is σ = 948481310387520. Its totient is φ = 100264597816320.

The previous prime is 331044434241293. The next prime is 331044434241371. The reversal of 331044434241312 is 213142434440133.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79047487 + ... + 83129982.

It is an arithmetic number, because the mean of its divisors is an integer number (9880013649870).

Almost surely, 2331044434241312 is an apocalyptic number.

331044434241312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

331044434241312 is an abundant number, since it is smaller than the sum of its proper divisors (617436876146208).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

331044434241312 is a wasteful number, since it uses less digits than its factorization.

331044434241312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162179426 (or 162179418 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

Adding to 331044434241312 its reverse (213142434440133), we get a palindrome (544186868681445).

The spelling of 331044434241312 in words is "three hundred thirty-one trillion, forty-four billion, four hundred thirty-four million, two hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1933 3866 5799 7732 11598 15464 21263 23196 30928 42526 46392 61856 63789 85052 92784 127578 170104 185568 255156 340208 510312 680416 1020624 2041248 162177469 324354938 486532407 648709876 973064814 1297419752 1783952159 1946129628 2594839504 3567904318 3892259256 5189679008 5351856477 7135808636 7784518512 10703712954 14271617272 15569037024 21407425908 28543234544 42814851816 57086469088 85629703632 171259407264 313489047577 626978095154 940467142731 1253956190308 1880934285462 2507912380616 3448379523347 3761868570924 5015824761232 6896759046694 7523737141848 10031649522464 10345138570041 13793518093388 15047474283696 20690277140082 27587036186776 30094948567392 41380554280164 55174072373552 82761108560328 110348144747104 165522217120656 331044434241312