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15121478040 = 2335432930519
BaseRepresentation
bin11100001010100111…
…10111000110011000
31110000211201200020020
432011103313012120
5221432044244130
610540253430440
71043503304544
oct160523670630
943024650206
1015121478040
11645a753299
122b2019b420
13156ca6c956
14a36406a24
155d780ce10
hex3854f7198

15121478040 has 64 divisors (see below), whose sum is σ = 46419436800. Its totient is φ = 3938616192.

The previous prime is 15121477999. The next prime is 15121478117. The reversal of 15121478040 is 4087412151.

15121478040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×151214780402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15121477992 and 15121478010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460100 + ... + 1470419.

It is an arithmetic number, because the mean of its divisors is an integer number (725303700).

Almost surely, 215121478040 is an apocalyptic number.

15121478040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15121478040 is an abundant number, since it is smaller than the sum of its proper divisors (31297958760).

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

15121478040 is a wasteful number, since it uses less digits than its factorization.

15121478040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2930576 (or 2930572 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 15121478040 in words is "fifteen billion, one hundred twenty-one million, four hundred seventy-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1290 1720 2580 5160 2930519 5861038 8791557 11722076 14652595 17583114 23444152 29305190 35166228 43957785 58610380 70332456 87915570 117220760 126012317 175831140 252024634 351662280 378036951 504049268 630061585 756073902 1008098536 1260123170 1512147804 1890184755 2520246340 3024295608 3780369510 5040492680 7560739020 15121478040