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131141414321240 = 23517924889735901
BaseRepresentation
bin11101110100010110111101…
…011010100111110001011000
3122012022222220122102120000012
4131310112331122213301120
5114142110104031234430
61142525311204101052
736423440333310401
oct3564267532476130
9565288818376005
10131141414321240
1138870841597794
1212860102394788
135823775436b8b
1424553c79d29a8
151026450ca4695
hex7745bd6a7c58

131141414321240 has 64 divisors (see below), whose sum is σ = 296728932636000. Its totient is φ = 52161345561600.

The previous prime is 131141414321233. The next prime is 131141414321329. The reversal of 131141414321240 is 42123414141131.

It is a junction number, because it is equal to n+sod(n) for n = 131141414321197 and 131141414321206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177837290 + ... + 178573190.

Almost surely, 2131141414321240 is an apocalyptic number.

131141414321240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131141414321240 is an abundant number, since it is smaller than the sum of its proper divisors (165587518314760).

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

131141414321240 is a wasteful number, since it uses less digits than its factorization.

131141414321240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 760980 (or 760976 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 131141414321240 its reverse (42123414141131), we get a palindrome (173264828462371).

The spelling of 131141414321240 in words is "one hundred thirty-one trillion, one hundred forty-one billion, four hundred fourteen million, three hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 179 358 716 895 1432 1790 3580 7160 24889 49778 99556 124445 199112 248890 497780 735901 995560 1471802 2943604 3679505 4455131 5887208 7359010 8910262 14718020 17820524 22275655 29436040 35641048 44551310 89102620 131726279 178205240 263452558 526905116 658631395 1053810232 1317262790 2634525580 5269051160 18315839989 36631679978 73263359956 91579199945 146526719912 183158399890 366316799780 732633599560 3278535358031 6557070716062 13114141432124 16392676790155 26228282864248 32785353580310 65570707160620 131141414321240