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331023314404144 = 241710311815509509
BaseRepresentation
bin100101101000100000101111…
…1000100010100001100110000
31121102001112000221020012211001
41023101001133010110030300
5321341441221441413034
63132010002234331344
7126503434214116135
oct11321013704241460
91542045027205731
10331023314404144
119652422124836a
1231162652289b54
1311292498070bbb
145ba588479a58c
152840a21ab5a14
hex12d105f114330

331023314404144 has 40 divisors (see below), whose sum is σ = 685677647884320. Its totient is φ = 154263292136448.

The previous prime is 331023314404091. The next prime is 331023314404147. The reversal of 331023314404144 is 441404413320133.

It is not an unprimeable number, because it can be changed into a prime (331023314404147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5907726739 + ... + 5907782770.

It is an arithmetic number, because the mean of its divisors is an integer number (17141941197108).

Almost surely, 2331023314404144 is an apocalyptic number.

331023314404144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

331023314404144 is an abundant number, since it is smaller than the sum of its proper divisors (354654333480176).

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

331023314404144 is a wasteful number, since it uses less digits than its factorization.

331023314404144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815509637 (or 11815509631 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 37.

Adding to 331023314404144 its reverse (441404413320133), we get a palindrome (772427727724277).

The spelling of 331023314404144 in words is "three hundred thirty-one trillion, twenty-three billion, three hundred fourteen million, four hundred four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 103 136 206 272 412 824 1648 1751 3502 7004 14008 28016 11815509509 23631019018 47262038036 94524076072 189048152144 200863661653 401727323306 803454646612 1216997479427 1606909293224 2433994958854 3213818586448 4867989917708 9735979835416 19471959670832 20688957150259 41377914300518 82755828601036 165511657202072 331023314404144