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131456931760 = 24571121340411
BaseRepresentation
bin111101001101101110…
…0011001011110110000
3110120022110102001021101
41322123130121132300
54123210433304020
6140220202134144
712332424324550
oct1723334313660
9416273361241
10131456931760
1150829013570
12215887b1354
13c51c99782b
146510b9b160
153645c0200a
hex1e9b7197b0

131456931760 has 80 divisors (see below), whose sum is σ = 381054396672. Its totient is φ = 40973587200.

The previous prime is 131456931737. The next prime is 131456931761. The reversal of 131456931760 is 67139654131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 131456931760.

It is not an unprimeable number, because it can be changed into a prime (131456931761) 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, 10664046 + ... + 10676365.

Almost surely, 2131456931760 is an apocalyptic number.

131456931760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131456931760 is an abundant number, since it is smaller than the sum of its proper divisors (249597464912).

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

131456931760 is a wasteful number, since it uses less digits than its factorization.

131456931760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21340442 (or 21340436 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 46.

The spelling of 131456931760 in words is "one hundred thirty-one billion, four hundred fifty-six million, nine hundred thirty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 21340411 42680822 85361644 106702055 149382877 170723288 213404110 234744521 298765754 341446576 426808220 469489042 597531508 746914385 853616440 938978084 1173722605 1195063016 1493828770 1643211647 1707232880 1877956168 2347445210 2390126032 2987657540 3286423294 3755912336 4694890420 5975315080 6572846588 8216058235 9389780840 11950630160 13145693176 16432116470 18779561680 26291386352 32864232940 65728465880 131456931760