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31406345415 = 32553101130379
BaseRepresentation
bin11101001111111101…
…101100110011000111
310000001202120122121100
4131033331230303013
51003310011023130
622232230551143
72161164350154
oct351775546307
9100052518540
1031406345415
1112357077175
126105b084b3
132c66855b53
14173d12d22b
15c3c323c60
hex74ff6ccc7

31406345415 has 48 divisors (see below), whose sum is σ = 56014377120. Its totient is φ = 16271174400.

The previous prime is 31406345407. The next prime is 31406345419. The reversal of 31406345415 is 51454360413.

31406345415 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 634 + 5 + 4 + 15 = 666.

It is not a de Polignac number, because 31406345415 - 23 = 31406345407 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 31406345415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31406345419) 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 47 ways as a sum of consecutive naturals, for example, 175696 + ... + 306074.

It is an arithmetic number, because the mean of its divisors is an integer number (1166966190).

Almost surely, 231406345415 is an apocalyptic number.

31406345415 is a deficient number, since it is larger than the sum of its proper divisors (24608031705).

31406345415 is a wasteful number, since it uses less digits than its factorization.

31406345415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130544 (or 130541 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 31406345415 in words is "thirty-one billion, four hundred six million, three hundred forty-five thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 45 53 101 159 265 303 477 505 795 909 1515 2385 4545 5353 16059 26765 48177 80295 130379 240885 391137 651895 1173411 1955685 5867055 6910087 13168279 20730261 34550435 39504837 62190783 65841395 103651305 118514511 197524185 310953915 592572555 697918787 2093756361 3489593935 6281269083 10468781805 31406345415