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15040323351 = 3317311057019
BaseRepresentation
bin11100000000111100…
…10001111100010111
31102211012000120221000
432000132101330113
5221300310321401
610524234154343
71041466432134
oct160036217427
942735016830
1015040323351
1164189635a9
122ab8b829b3
131558cc6b21
14a2971d58b
155d062c186
hex380791f17

15040323351 has 32 divisors (see below), whose sum is σ = 24353740800. Its totient is φ = 9132635520.

The previous prime is 15040323349. The next prime is 15040323359. The reversal of 15040323351 is 15332304051.

15040323351 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 15040323351 - 21 = 15040323349 is a prime.

It is a super-2 number, since 2×150403233512 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15040323359) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 514281 + ... + 542738.

It is an arithmetic number, because the mean of its divisors is an integer number (761054400).

Almost surely, 215040323351 is an apocalyptic number.

15040323351 is a deficient number, since it is larger than the sum of its proper divisors (9313417449).

15040323351 is a wasteful number, since it uses less digits than its factorization.

15040323351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057076 (or 1057070 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 15040323351 in words is "fifteen billion, forty million, three hundred twenty-three thousand, three hundred fifty-one".

Divisors: 1 3 9 17 27 31 51 93 153 279 459 527 837 1581 4743 14229 1057019 3171057 9513171 17969323 28539513 32767589 53907969 98302767 161723907 294908301 485171721 557049013 884724903 1671147039 5013441117 15040323351