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312414134010042 = 231791811607118193
BaseRepresentation
bin100011100001000111001010…
…1011110110000000010111010
31111222011111111011020011102210
41013002032111132300002322
5311422043121301310132
63024241023303235550
7122543114323504011
oct10702162536600272
91458144434204383
10312414134010042
11905aa0aa035659
122b057b51448bb6
13105426ac73268c
145720cd37b5a78
15261b91de2cbcc
hex11c23957b00ba

312414134010042 has 32 divisors (see below), whose sum is σ = 631790304425280. Its totient is φ = 102984133743360.

The previous prime is 312414134010031. The next prime is 312414134010059. The reversal of 312414134010042 is 240010431414213.

It is a happy number.

It is a super-2 number, since 2×3124141340100422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312414134009991 and 312414134010009.

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, 803364703 + ... + 803753490.

It is an arithmetic number, because the mean of its divisors is an integer number (19743447013290).

Almost surely, 2312414134010042 is an apocalyptic number.

312414134010042 is an abundant number, since it is smaller than the sum of its proper divisors (319376170415238).

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

312414134010042 is a wasteful number, since it uses less digits than its factorization.

312414134010042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1607118558.

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 312414134010042 its reverse (240010431414213), we get a palindrome (552424565424255).

The spelling of 312414134010042 in words is "three hundred twelve trillion, four hundred fourteen billion, one hundred thirty-four million, ten thousand, forty-two".

Divisors: 1 2 3 6 179 181 358 362 537 543 1074 1086 32399 64798 97197 194394 1607118193 3214236386 4821354579 9642709158 287674156547 290888392933 575348313094 581776785866 863022469641 872665178799 1726044939282 1745330357598 52069022335007 104138044670014 156207067005021 312414134010042