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131334577762740 = 223511198991784489
BaseRepresentation
bin11101110111001010110110…
…110110101011000110110100
3122020000110111112112002022020
4131313022312312223012310
5114203241203401401430
61143154134435033140
736443416161420102
oct3567126666530664
9566013445462266
10131334577762740
1138935755297340
121289163043b7b0
135838a4a277161
1424608adb40c72
15102b4a8e46b10
hex7772b6dab1b4

131334577762740 has 48 divisors (see below), whose sum is σ = 401167437531840. Its totient is φ = 31838685518080.

The previous prime is 131334577762711. The next prime is 131334577762757. The reversal of 131334577762740 is 47267775433131.

It is a super-2 number, since 2×1313345777627402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 99495891585 + ... + 99495892904.

It is an arithmetic number, because the mean of its divisors is an integer number (8357654948580).

Almost surely, 2131334577762740 is an apocalyptic number.

131334577762740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131334577762740 is an abundant number, since it is smaller than the sum of its proper divisors (269832859769100).

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

131334577762740 is a wasteful number, since it uses less digits than its factorization.

131334577762740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198991784512 (or 198991784510 counting only the distinct ones).

The product of its (nonzero) digits is 62233920, while the sum is 60.

The spelling of 131334577762740 in words is "one hundred thirty-one trillion, three hundred thirty-four billion, five hundred seventy-seven million, seven hundred sixty-two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 198991784489 397983568978 596975353467 795967137956 994958922445 1193950706934 1989917844890 2188909629379 2387901413868 2984876767335 3979835689780 4377819258758 5969753534670 6566728888137 8755638517516 10944548146895 11939507069340 13133457776274 21889096293790 26266915552548 32833644440685 43778192587580 65667288881370 131334577762740