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131944395348 = 223220147181919
BaseRepresentation
bin111101011100001111…
…1111011001001010100
3110121120102122202121100
41322320133323021110
54130210231122343
6140340414150100
712350463566313
oct1727037731124
9417512582540
10131944395348
1150a59198137
12216a3ab2330
13c59998071c
14655980c27a
1536738e09d3
hex1eb87fb254

131944395348 has 36 divisors (see below), whose sum is σ = 333544498560. Its totient is φ = 43979040336.

The previous prime is 131944395347. The next prime is 131944395377. The reversal of 131944395348 is 843593449131.

131944395348 is a `hidden beast` number, since 1 + 31 + 9 + 44 + 39 + 534 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1319443953482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131944395294 and 131944395303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131944395347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634333 + ... + 816251.

It is an arithmetic number, because the mean of its divisors is an integer number (9265124960).

Almost surely, 2131944395348 is an apocalyptic number.

131944395348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131944395348 is an abundant number, since it is smaller than the sum of its proper divisors (201600103212).

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

131944395348 is a wasteful number, since it uses less digits than its factorization.

131944395348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202076 (or 202071 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 131944395348 in words is "one hundred thirty-one billion, nine hundred forty-four million, three hundred ninety-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 20147 40294 60441 80588 120882 181323 181919 241764 362646 363838 545757 725292 727676 1091514 1637271 2183028 3274542 6549084 3665122093 7330244186 10995366279 14660488372 21990732558 32986098837 43981465116 65972197674 131944395348