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131442414144 = 2632273015841
BaseRepresentation
bin111101001101010010…
…1000001001001000000
3110120021110002110211220
41322122211001021000
54123143224223034
6140214523035040
712332160041256
oct1723245011100
9416243073756
10131442414144
11508208a8238
122158396ba80
13c519983922
14650cc9c5d6
1536447d5749
hex1e9a941240

131442414144 has 56 divisors (see below), whose sum is σ = 349306883808. Its totient is φ = 43621109760.

The previous prime is 131442414137. The next prime is 131442414149. The reversal of 131442414144 is 441414244131.

It is a super-2 number, since 2×1314424141442 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (131442414149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1464337 + ... + 1551504.

Almost surely, 2131442414144 is an apocalyptic number.

It is an amenable number.

131442414144 is an abundant number, since it is smaller than the sum of its proper divisors (217864469664).

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

131442414144 is a wasteful number, since it uses less digits than its factorization.

131442414144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016083 (or 3016073 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

Adding to 131442414144 its reverse (441414244131), we get a palindrome (572856658275).

The spelling of 131442414144 in words is "one hundred thirty-one billion, four hundred forty-two million, four hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 227 454 681 908 1362 1816 2724 3632 5448 7264 10896 14528 21792 43584 3015841 6031682 9047523 12063364 18095046 24126728 36190092 48253456 72380184 96506912 144760368 193013824 289520736 579041472 684595907 1369191814 2053787721 2738383628 4107575442 5476767256 8215150884 10953534512 16430301768 21907069024 32860603536 43814138048 65721207072 131442414144