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312000134014413 = 32135218195110331
BaseRepresentation
bin100011011110000110011000…
…1001010000110010111001101
31111220200220212210012022212100
41012330030301022012113031
5311343302233301430123
63023322514410425313
7122501160113553135
oct10674146112062715
91456626783168770
10312000134014413
119045a571908339
122abab871732239
13105126427b7470
145708c5c13bac5
152610c8d402643
hex11bc3312865cd

312000134014413 has 24 divisors (see below), whose sum is σ = 485334566851680. Its totient is φ = 191999676955680.

The previous prime is 312000134014379. The next prime is 312000134014453. The reversal of 312000134014413 is 314410431000213.

312000134014413 is a `hidden beast` number, since 3 + 1 + 200 + 0 + 1 + 3 + 40 + 1 + 4 + 413 = 666.

It is not a de Polignac number, because 312000134014413 - 210 = 312000134013389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312000134014453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58497658 + ... + 63607988.

It is an arithmetic number, because the mean of its divisors is an integer number (20222273618820).

Almost surely, 2312000134014413 is an apocalyptic number.

It is an amenable number.

312000134014413 is a deficient number, since it is larger than the sum of its proper divisors (173334432837267).

312000134014413 is a wasteful number, since it uses less digits than its factorization.

312000134014413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632169 (or 5632166 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 312000134014413 its reverse (314410431000213), we get a palindrome (626410565014626).

The spelling of 312000134014413 in words is "three hundred twelve trillion, one hundred thirty-four million, fourteen thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 117 521819 1565457 4696371 5110331 6783647 15330993 20350941 45992979 61052823 66434303 199302909 597908727 2666667812089 8000003436267 24000010308801 34666681557157 104000044671471 312000134014413