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13342442112 = 273217681293
BaseRepresentation
bin11000110110100010…
…11000001010000000
31021102212011021201200
430123101120022000
5204311131121422
610043542501200
7651431613066
oct143321301200
937385137650
1013342442112
11572750826a
122704434800
13134830ca7c
1490802a036
155315462ac
hex31b458280

13342442112 has 96 divisors (see below), whose sum is σ = 40652812980. Its totient is φ = 4185858048.

The previous prime is 13342442111. The next prime is 13342442137. The reversal of 13342442112 is 21124424331.

It can be written as a sum of positive squares in 2 ways, for example, as 13210284096 + 132158016 = 114936^2 + 11496^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 (13342442111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 321063 + ... + 360230.

Almost surely, 213342442112 is an apocalyptic number.

13342442112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13342442112 is an abundant number, since it is smaller than the sum of its proper divisors (27310370868).

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

13342442112 is a wasteful number, since it uses less digits than its factorization.

13342442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681330 (or 681315 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 13342442112 its reverse (21124424331), we get a palindrome (34466866443).

The spelling of 13342442112 in words is "thirteen billion, three hundred forty-two million, four hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 681293 1362586 2043879 2725172 4087758 5450344 6131637 8175516 10900688 11581981 12263274 16351032 21801376 23163962 24526548 32702064 34745943 43602752 46327924 49053096 65404128 69491886 87205504 92655848 98106192 104237829 130808256 138983772 185311696 196212384 208475658 261616512 277967544 370623392 392424768 416951316 555935088 741246784 784849536 833902632 1111870176 1482493568 1667805264 2223740352 3335610528 4447480704 6671221056 13342442112