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130972940544 = 283251679433
BaseRepresentation
bin111100111111010011…
…0000111100100000000
3110112001201200202010210
41321332212013210000
54121213033044134
6140100152354120
712314426424465
oct1717646074400
9415051622123
10130972940544
11505aa8a0826
12214726a5940
13c4736292b4
1464a67b166c
15361849c2e9
hex1e7e987900

130972940544 has 72 divisors (see below), whose sum is σ = 349968300192. Its totient is φ = 43483648000.

The previous prime is 130972940537. The next prime is 130972940561. The reversal of 130972940544 is 445049279031.

It is a super-3 number, since 3×1309729405443 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 130972940493 and 130972940502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146949 + ... + 532484.

It is an arithmetic number, because the mean of its divisors is an integer number (4860670836).

Almost surely, 2130972940544 is an apocalyptic number.

It is an amenable number.

130972940544 is an abundant number, since it is smaller than the sum of its proper divisors (218995359648).

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

130972940544 is an equidigital number, since it uses as much as digits as its factorization.

130972940544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679703 (or 679689 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 130972940544 in words is "one hundred thirty billion, nine hundred seventy-two million, nine hundred forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 256 384 502 753 768 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 64256 96384 192768 679433 1358866 2038299 2717732 4076598 5435464 8153196 10870928 16306392 21741856 32612784 43483712 65225568 86967424 130451136 170537683 173934848 260902272 341075366 511613049 521804544 682150732 1023226098 1364301464 2046452196 2728602928 4092904392 5457205856 8185808784 10914411712 16371617568 21828823424 32743235136 43657646848 65486470272 130972940544