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131115245214432 = 2531453939975089
BaseRepresentation
bin11101110011111110100101…
…100111011001101011100000
3122012020111100212122012011010
4131303332211213121223200
5114141143010233330212
61142505302341220520
736421523001466353
oct3563764547315340
9565214325565133
10131115245214432
1138860732835496
121285701a401740
1358211649348ab
14245402427c29a
15102591d64a03c
hex773fa59d9ae0

131115245214432 has 48 divisors (see below), whose sum is σ = 344414392776720. Its totient is φ = 43675002488832.

The previous prime is 131115245214427. The next prime is 131115245214461. The reversal of 131115245214432 is 234412542511131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1311152452144322 (a number of 29 digits) contains 22 as substring.

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, 469848057 + ... + 470127032.

It is an arithmetic number, because the mean of its divisors is an integer number (7175299849515).

Almost surely, 2131115245214432 is an apocalyptic number.

131115245214432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131115245214432 is an abundant number, since it is smaller than the sum of its proper divisors (213299147562288).

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

131115245214432 is a wasteful number, since it uses less digits than its factorization.

131115245214432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939976555 (or 939976547 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

Adding to 131115245214432 its reverse (234412542511131), we get a palindrome (365527787725563).

The spelling of 131115245214432 in words is "one hundred thirty-one trillion, one hundred fifteen billion, two hundred forty-five million, two hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1453 2906 4359 5812 8718 11624 17436 23248 34872 46496 69744 139488 939975089 1879950178 2819925267 3759900356 5639850534 7519800712 11279701068 15039601424 22559402136 30079202848 45118804272 90237608544 1365783804317 2731567608634 4097351412951 5463135217268 8194702825902 10926270434536 16389405651804 21852540869072 32778811303608 43705081738144 65557622607216 131115245214432