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130034086541352 = 23327258004139963
BaseRepresentation
bin11101100100001111101011…
…100010010111100000101000
3122001102010201001212000000100
4131210033223202113200220
5114020434302123310402
61140320500142505400
736250436612423160
oct3544175342274050
9561363631760010
10130034086541352
1138484167964264
1212701588595260
13577321447c596
14241797d2475a0
151007741d3e71c
hex7643eb897828

130034086541352 has 48 divisors (see below), whose sum is σ = 402486458343840. Its totient is φ = 37152596154528.

The previous prime is 130034086541347. The next prime is 130034086541399. The reversal of 130034086541352 is 253145680430031.

130034086541352 is a `hidden beast` number, since 1 + 30 + 0 + 3 + 40 + 8 + 6 + 541 + 35 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130034086541298 and 130034086541307.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 129002069478 + ... + 129002070485.

It is an arithmetic number, because the mean of its divisors is an integer number (8385134548830).

Almost surely, 2130034086541352 is an apocalyptic number.

130034086541352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130034086541352 is an abundant number, since it is smaller than the sum of its proper divisors (272452371802488).

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

130034086541352 is a wasteful number, since it uses less digits than its factorization.

130034086541352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258004139982 (or 258004139975 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 130034086541352 in words is "one hundred thirty trillion, thirty-four billion, eighty-six million, five hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 258004139963 516008279926 774012419889 1032016559852 1548024839778 1806028979741 2064033119704 2322037259667 3096049679556 3612057959482 4644074519334 5418086939223 6192099359112 7224115918964 9288149038668 10836173878446 14448231837928 16254260817669 18576298077336 21672347756892 32508521635338 43344695513784 65017043270676 130034086541352