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112442133414 = 231317231160907
BaseRepresentation
bin110100010111000010…
…0101100101110100110
3101202020021201012121210
41220232010230232212
53320240141232124
6123353305052250
711060264235642
oct1505604545646
9352207635553
10112442133414
1143760720096
1219960787086
13a7ac448470
14562968dc22
152dd16e2a29
hex1a2e12cba6

112442133414 has 96 divisors (see below), whose sum is σ = 265567712256. Its totient is φ = 31511831040.

The previous prime is 112442133413. The next prime is 112442133467. The reversal of 112442133414 is 414331244211.

It is a happy number.

112442133414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112442133413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 618349 + ... + 779255.

It is an arithmetic number, because the mean of its divisors is an integer number (2766330336).

Almost surely, 2112442133414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112442133414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132783856128).

112442133414 is an abundant number, since it is smaller than the sum of its proper divisors (153125578842).

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

112442133414 is a wasteful number, since it uses less digits than its factorization.

112442133414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160990 (or 160973 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

Adding to 112442133414 its reverse (414331244211), we get a palindrome (526773377625).

The spelling of 112442133414 in words is "one hundred twelve billion, four hundred forty-two million, one hundred thirty-three thousand, four hundred fourteen".

Divisors: 1 2 3 6 13 17 26 31 34 39 51 62 78 93 102 186 221 289 403 442 527 578 663 806 867 1054 1209 1326 1581 1734 2418 3162 3757 6851 7514 8959 11271 13702 17918 20553 22542 26877 41106 53754 116467 160907 232934 321814 349401 482721 698802 965442 2091791 2735419 4183582 4988117 5470838 6275373 8206257 9976234 12550746 14964351 16412514 29928702 35560447 46502123 64845521 71120894 84797989 93004246 106681341 129691042 139506369 169595978 194536563 213362682 254393967 279012738 389073126 508787934 604527599 1102373857 1209055198 1441565813 1813582797 2204747714 2883131626 3307121571 3627165594 4324697439 6614243142 8649394878 18740355569 37480711138 56221066707 112442133414