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141190129525932 = 22334330402698003
BaseRepresentation
bin100000000110100101100011…
…100001000010010010101100
3200111220122101212220121122000
4200012211203201002102230
5122001224341124312212
61220141503341052300
741511436013244564
oct4006454341022254
9614818355817560
10141190129525932
1140a95441331053
1213a03714857090
1360a22310bb9b6
1426c18d296bda4
15114ca2c8a21dc
hex8069638424ac

141190129525932 has 48 divisors (see below), whose sum is σ = 374561239409280. Its totient is φ = 45968879379024.

The previous prime is 141190129525919. The next prime is 141190129525933. The reversal of 141190129525932 is 239525921091141.

141190129525932 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 9 + 0 + 1 + 29 + 525 + 93 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (141190129525933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15201344358 + ... + 15201353645.

It is an arithmetic number, because the mean of its divisors is an integer number (7803359154360).

Almost surely, 2141190129525932 is an apocalyptic number.

141190129525932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141190129525932 is an abundant number, since it is smaller than the sum of its proper divisors (233371109883348).

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

141190129525932 is a wasteful number, since it uses less digits than its factorization.

141190129525932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30402698059 (or 30402698051 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 54.

The spelling of 141190129525932 in words is "one hundred forty-one trillion, one hundred ninety billion, one hundred twenty-nine million, five hundred twenty-five thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 2322 4644 30402698003 60805396006 91208094009 121610792012 182416188018 273624282027 364832376036 547248564054 820872846081 1094497128108 1307316014129 1641745692162 2614632028258 3283491384324 3921948042387 5229264056516 7843896084774 11765844127161 15687792169548 23531688254322 35297532381483 47063376508644 70595064762966 141190129525932