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131416600463010 = 2345179543689213
BaseRepresentation
bin11101111000010111001111…
…110010011100011010100010
3122020022022012211200222110000
4131320113033302130122202
5114211112144204304020
61143255541450120430
736452351604030042
oct3570271762343242
9566268184628400
10131416600463010
1138967515a35035
12128a5501720116
1358436bc473825
1424648513a3722
15102d6a9cae090
hex7785cfc9c6a2

131416600463010 has 80 divisors (see below), whose sum is σ = 374150791945656. Its totient is φ = 32982989916672.

The previous prime is 131416600462933. The next prime is 131416600463021. The reversal of 131416600463010 is 10364006614131.

131416600463010 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 6 + 6 + 0 + 0 + 4 + 630 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111993814440369 + 19422786022641 = 10582713^2 + 4407129^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4771830837 + ... + 4771858376.

Almost surely, 2131416600463010 is an apocalyptic number.

131416600463010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131416600463010 is an abundant number, since it is smaller than the sum of its proper divisors (242734191482646).

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

131416600463010 is a wasteful number, since it uses less digits than its factorization.

131416600463010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9543689249 (or 9543689240 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 131416600463010 in words is "one hundred thirty-one trillion, four hundred sixteen billion, six hundred million, four hundred sixty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1530 2295 2754 4590 6885 13770 9543689213 19087378426 28631067639 47718446065 57262135278 85893202917 95436892130 143155338195 162242716621 171786405834 257679608751 286310676390 324485433242 429466014585 486728149863 515359217502 773038826253 811213583105 858932029170 973456299726 1288398043755 1460184449589 1546077652506 1622427166210 2433640749315 2576796087510 2920368899178 3865194131265 4380553348767 4867281498630 7300922247945 7730388262530 8761106697534 13141660046301 14601844495890 21902766743835 26283320092602 43805533487670 65708300231505 131416600463010