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112442411142 = 2334389544099
BaseRepresentation
bin110100010111000010…
…1110000100010000110
3101202020022020022121000
41220232011300202012
53320240224124032
6123353315034130
711060266503435
oct1505605604206
9352208208530
10112442411142
114376089a816
121996089b946
13a7ac5149b9
14562972311c
152dd1749e7c
hex1a2e170886

112442411142 has 64 divisors (see below), whose sum is σ = 258556320000. Its totient is φ = 36197751744.

The previous prime is 112442411129. The next prime is 112442411149. The reversal of 112442411142 is 241114244211.

112442411142 is a `hidden beast` number, since 1 + 1 + 244 + 2 + 411 + 1 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112442411149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65392 + ... + 478707.

It is an arithmetic number, because the mean of its divisors is an integer number (4039942500).

Almost surely, 2112442411142 is an apocalyptic number.

112442411142 is an abundant number, since it is smaller than the sum of its proper divisors (146113908858).

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

112442411142 is a wasteful number, since it uses less digits than its factorization.

112442411142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544242 (or 544236 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

Adding to 112442411142 its reverse (241114244211), we get a palindrome (353556655353).

The spelling of 112442411142 in words is "one hundred twelve billion, four hundred forty-two million, four hundred eleven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 86 89 129 178 258 267 387 534 774 801 1161 1602 2322 2403 3827 4806 7654 11481 22962 34443 68886 103329 206658 544099 1088198 1632297 3264594 4896891 9793782 14690673 23396257 29381346 46792514 48424811 70188771 96849622 140377542 145274433 210566313 290548866 421132626 435823299 631698939 871646598 1263397878 1307469897 2082266873 2614939794 4164533746 6246800619 12493601238 18740401857 37480803714 56221205571 112442411142