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131438856032 = 251119122915991
BaseRepresentation
bin111101001101001011…
…1011100011101100000
3110120021012101201000222
41322122113130131200
54123141321343112
6140214314502212
712332114561621
oct1723227343540
9416235351028
10131438856032
1150819897a50
1221582734968
13c519009233
14650c613a48
153644331372
hex1e9a5dc760

131438856032 has 96 divisors (see below), whose sum is σ = 297412819200. Its totient is φ = 56550873600.

The previous prime is 131438856019. The next prime is 131438856047. The reversal of 131438856032 is 230658834131.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 8211557 + ... + 8227547.

It is an arithmetic number, because the mean of its divisors is an integer number (3098050200).

Almost surely, 2131438856032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131438856032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148706409600).

131438856032 is an abundant number, since it is smaller than the sum of its proper divisors (165973963168).

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

131438856032 is a wasteful number, since it uses less digits than its factorization.

131438856032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17260 (or 17252 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 131438856032 in words is "one hundred thirty-one billion, four hundred thirty-eight million, eight hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 19 22 32 38 44 76 88 152 176 209 304 352 418 608 836 1229 1672 2458 3344 4916 6688 9832 13519 15991 19664 23351 27038 31982 39328 46702 54076 63964 93404 108152 127928 175901 186808 216304 255856 256861 303829 351802 373616 432608 511712 513722 607658 703604 747232 1027444 1215316 1407208 2054888 2430632 2814416 3342119 4109776 4861264 5628832 6684238 8219552 9722528 13368476 19652939 26736952 39305878 53473904 78611756 106947808 157223512 216182329 314447024 373405841 432364658 628894048 746811682 864729316 1493623364 1729458632 2987246728 3458917264 4107464251 5974493456 6917834528 8214928502 11948986912 16429857004 32859714008 65719428016 131438856032