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131432578777140 = 22352190542979619
BaseRepresentation
bin11101111000100110001000…
…001010111000000000110100
3122020100211110101201102211020
4131320212020022320000310
5114211342410131332030
61143311143152541140
736453455553330204
oct3570461012700064
9566324411642736
10131432578777140
1138973275308a23
12128a86208517b0
1358450678a6184
1424655294cc404
15102dce291e510
hex7789882b8034

131432578777140 has 24 divisors (see below), whose sum is σ = 368011220576160. Its totient is φ = 35048687673888.

The previous prime is 131432578777051. The next prime is 131432578777147. The reversal of 131432578777140 is 41777875234131.

It is a super-2 number, since 2×1314325787771402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60), and also a Moran number because the ratio is a prime number: 2190542979619 = 131432578777140 / (1 + 3 + 1 + 4 + 3 + 2 + 5 + 7 + 8 + 7 + 7 + 7 + 1 + 4 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131432578777147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1095271489750 + ... + 1095271489869.

It is an arithmetic number, because the mean of its divisors is an integer number (15333800857340).

Almost surely, 2131432578777140 is an apocalyptic number.

131432578777140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131432578777140 is an abundant number, since it is smaller than the sum of its proper divisors (236578641799020).

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

131432578777140 is a wasteful number, since it uses less digits than its factorization.

131432578777140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190542979631 (or 2190542979629 counting only the distinct ones).

The product of its (nonzero) digits is 27659520, while the sum is 60.

The spelling of 131432578777140 in words is "one hundred thirty-one trillion, four hundred thirty-two billion, five hundred seventy-eight million, seven hundred seventy-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2190542979619 4381085959238 6571628938857 8762171918476 10952714898095 13143257877714 21905429796190 26286515755428 32858144694285 43810859592380 65716289388570 131432578777140