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312415535421 = 321167320032341
BaseRepresentation
bin1001000101111010110…
…10101100000100111101
31002212101202221120112100
410202331122230010331
520104311334113141
6355304405055313
731366643143533
oct4427532540475
91085352846470
10312415535421
11110549474880
125066b3b7539
13235cb0b3c82
141119a00a153
1581d76610b6
hex48bd6ac13d

312415535421 has 48 divisors (see below), whose sum is σ = 493479484992. Its totient is φ = 188886297600.

The previous prime is 312415535417. The next prime is 312415535459. The reversal of 312415535421 is 124535514213.

312415535421 is a `hidden beast` number, since 3 + 12 + 41 + 553 + 54 + 2 + 1 = 666.

312415535421 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 312415535421 - 22 = 312415535417 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312415534421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133452711 + ... + 133455051.

It is an arithmetic number, because the mean of its divisors is an integer number (10280822604).

Almost surely, 2312415535421 is an apocalyptic number.

It is an amenable number.

312415535421 is a deficient number, since it is larger than the sum of its proper divisors (181063949571).

312415535421 is a wasteful number, since it uses less digits than its factorization.

312415535421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5034 (or 5031 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The spelling of 312415535421 in words is "three hundred twelve billion, four hundred fifteen million, five hundred thirty-five thousand, four hundred twenty-one".

Divisors: 1 3 9 11 33 99 673 2003 2019 2341 6009 6057 7023 7403 18027 21069 22033 22209 25751 66099 66627 77253 198297 231759 1348019 1575493 4044057 4689023 4726479 12132171 14067069 14179437 14828209 17330423 42201207 44484627 51579253 51991269 133453881 154737759 155973807 464213277 3155712479 9467137437 28401412311 34712837269 104138511807 312415535421