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15142954090 = 2511318353503
BaseRepresentation
bin11100001101001011…
…10010010001101010
31110002100010202211111
432012211302101222
5222003044012330
610542342020534
71044153662125
oct160645622152
943070122744
1015142954090
1164708915a0
122b2741774a
13157434bb84
14a391d73bc
155d965132a
hex38697246a

15142954090 has 64 divisors (see below), whose sum is σ = 31064850432. Its totient is φ = 5264596800.

The previous prime is 15142954087. The next prime is 15142954097. The reversal of 15142954090 is 9045924151.

It is a super-3 number, since 3×151429540903 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (15142954097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 256279 + ... + 309781.

It is an arithmetic number, because the mean of its divisors is an integer number (485388288).

Almost surely, 215142954090 is an apocalyptic number.

15142954090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

15142954090 is an abundant number, since it is smaller than the sum of its proper divisors (15921896342).

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

15142954090 is a wasteful number, since it uses less digits than its factorization.

15142954090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53635.

The product of its (nonzero) digits is 64800, while the sum is 40.

The spelling of 15142954090 in words is "fifteen billion, one hundred forty-two million, nine hundred fifty-four thousand, ninety".

Divisors: 1 2 5 10 11 22 31 55 62 83 110 155 166 310 341 415 682 830 913 1705 1826 2573 3410 4565 5146 9130 12865 25730 28303 53503 56606 107006 141515 267515 283030 535030 588533 1177066 1658593 2942665 3317186 4440749 5885330 8292965 8881498 16585930 18244523 22203745 36489046 44407490 48848239 91222615 97696478 137663219 182445230 244241195 275326438 488482390 688316095 1376632190 1514295409 3028590818 7571477045 15142954090