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131542308648990 = 2335487193735737
BaseRepresentation
bin11101111010001100010100…
…100101000111100000011110
3122020202022200122211111001000
4131322030110211013200132
5114220142122003231430
61143433411412531130
736464422015004061
oct3572142445074036
9566668618744030
10131542308648990
1138a05863a27828
1212905945020aa6
135852504133b25
14246a9788768d8
151031ab5e58e60
hex77a31494781e

131542308648990 has 32 divisors (see below), whose sum is σ = 350779489731360. Its totient is φ = 35077948972992.

The previous prime is 131542308648977. The next prime is 131542308649007. The reversal of 131542308648990 is 99846803245131.

131542308648990 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 42 + 30 + 86 + 489 + 9 + 0 = 666.

It is a super-2 number, since 2×1315423086489902 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 243596867599 + ... + 243596868138.

It is an arithmetic number, because the mean of its divisors is an integer number (10961859054105).

Almost surely, 2131542308648990 is an apocalyptic number.

131542308648990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131542308648990 is an abundant number, since it is smaller than the sum of its proper divisors (219237181082370).

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

131542308648990 is a wasteful number, since it uses less digits than its factorization.

131542308648990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487193735753 (or 487193735747 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 131542308648990 in words is "one hundred thirty-one trillion, five hundred forty-two billion, three hundred eight million, six hundred forty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 487193735737 974387471474 1461581207211 2435968678685 2923162414422 4384743621633 4871937357370 7307906036055 8769487243266 13154230864899 14615812072110 21923718108165 26308461729798 43847436216330 65771154324495 131542308648990