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131456532240 = 243251116598047
BaseRepresentation
bin111101001101101101…
…0110111111100010000
3110120022102122202020100
41322123122313330100
54123210333012430
6140220145412400
712332421042015
oct1723332677420
9416272582210
10131456532240
1150828870390
122158863a100
13c51c887a27
146510ad570c
153645b73960
hex1e9b6b7f10

131456532240 has 120 divisors (see below), whose sum is σ = 481608960768. Its totient is φ = 31868248320.

The previous prime is 131456532239. The next prime is 131456532253. The reversal of 131456532240 is 42235654131.

131456532240 is a `hidden beast` number, since 1 + 31 + 4 + 56 + 532 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 131456532195 and 131456532204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8291104 + ... + 8306943.

Almost surely, 2131456532240 is an apocalyptic number.

131456532240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131456532240 is an abundant number, since it is smaller than the sum of its proper divisors (350152428528).

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

131456532240 is a wasteful number, since it uses less digits than its factorization.

131456532240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16598077 (or 16598068 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 131456532240 in words is "one hundred thirty-one billion, four hundred fifty-six million, five hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 16598047 33196094 49794141 66392188 82990235 99588282 132784376 149382423 165980470 182578517 199176564 248970705 265568752 298764846 331960940 365157034 398353128 497941410 547735551 597529692 663921880 730314068 746912115 796706256 912892585 995882820 1095471102 1195059384 1327843760 1460628136 1493824230 1643206653 1825785170 1991765640 2190942204 2390118768 2738677755 2921256272 2987648460 3286413306 3651570340 3983531280 4381884408 5477355510 5975296920 6572826612 7303140680 8216033265 8763768816 10954711020 11950593840 13145653224 14606281360 16432066530 21909422040 26291306448 32864133060 43818844080 65728266120 131456532240