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130817940572144 = 2471768706901561
BaseRepresentation
bin11101101111101001101100…
…111000001100011111110000
3122011012001222012111112002102
4131233221230320030133300
5114121310120241302034
61142120533211035532
736361166342643530
oct3557515470143760
9564161865445072
10130817940572144
1138756639044351
121280948773bba8
1357cc104355707
14244389d0c14c0
15101cd1c90597e
hex76fa6ce0c7f0

130817940572144 has 40 divisors (see below), whose sum is σ = 306707608572768. Its totient is φ = 52766900398080.

The previous prime is 130817940572117. The next prime is 130817940572159. The reversal of 130817940572144 is 441275049718031.

It is a super-2 number, since 2×1308179405721442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 130817940572144.

It is a congruent number.

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, 34353448877 + ... + 34353452684.

Almost surely, 2130817940572144 is an apocalyptic number.

130817940572144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

130817940572144 is an abundant number, since it is smaller than the sum of its proper divisors (175889668000624).

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

130817940572144 is a wasteful number, since it uses less digits than its factorization.

130817940572144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68706901593 (or 68706901587 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 56.

The spelling of 130817940572144 in words is "one hundred thirty trillion, eight hundred seventeen billion, nine hundred forty million, five hundred seventy-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 68706901561 137413803122 274827606244 480948310927 549655212488 961896621854 1099310424976 1168017326537 1923793243708 2336034653074 3847586487416 4672069306148 7695172974832 8176121285759 9344138612296 16352242571518 18688277224592 32704485143036 65408970286072 130817940572144