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131436995368 = 23725168313691
BaseRepresentation
bin111101001101001000…
…0010110001100101000
3110120021001220011200111
41322122100112030220
54123140332322433
6140214210544104
712332063012140
oct1723220261450
9416231804614
10131436995368
1150818837008
1221581b98034
13c518807353
14650c28b920
1536440b4dcd
hex1e9a416328

131436995368 has 64 divisors (see below), whose sum is σ = 283207518720. Its totient is φ = 56019480000.

The previous prime is 131436995357. The next prime is 131436995369. The reversal of 131436995368 is 863599634131.

It is a happy number.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (131436995369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9593403 + ... + 9607093.

It is an arithmetic number, because the mean of its divisors is an integer number (4425117480).

Almost surely, 2131436995368 is an apocalyptic number.

It is an amenable number.

131436995368 is an abundant number, since it is smaller than the sum of its proper divisors (151770523352).

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

131436995368 is a wasteful number, since it uses less digits than its factorization.

131436995368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14638 (or 14634 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 58.

The spelling of 131436995368 in words is "one hundred thirty-one billion, four hundred thirty-six million, nine hundred ninety-five thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 56 251 502 683 1004 1366 1757 2008 2732 3514 4781 5464 7028 9562 13691 14056 19124 27382 38248 54764 95837 109528 171433 191674 342866 383348 685732 766696 1200031 1371464 2400062 3436441 4800124 6872882 9350953 9600248 13745764 18701906 24055087 27491528 37403812 48110174 65456671 74807624 96220348 130913342 192440696 261826684 523653368 2347089203 4694178406 9388356812 16429624421 18776713624 32859248842 65718497684 131436995368