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112157354404044 = 2232173136711610387
BaseRepresentation
bin11001100000000110101011…
…010001001010100011001100
3112201010010201212110120200200
4121200012223101022203030
5104200041230211412134
61034312213255453500
732424046540424235
oct3140065321124314
9481103655416620
10112157354404044
11328117376967a4
12106b4a1b087290
134a77515956841
141d9a632bd408c
15ce770bc92499
hex6601ab44a8cc

112157354404044 has 144 divisors (see below), whose sum is σ = 309953877682176. Its totient is φ = 34042271731200.

The previous prime is 112157354404019. The next prime is 112157354404057. The reversal of 112157354404044 is 440404453751211.

112157354404044 is a `hidden beast` number, since 1 + 1 + 2 + 157 + 3 + 54 + 40 + 404 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68841019 + ... + 70451405.

It is an arithmetic number, because the mean of its divisors is an integer number (2152457483904).

Almost surely, 2112157354404044 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 112157354404044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154976938841088).

112157354404044 is an abundant number, since it is smaller than the sum of its proper divisors (197796523278132).

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

112157354404044 is a wasteful number, since it uses less digits than its factorization.

112157354404044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614116 (or 1614111 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 112157354404044 in words is "one hundred twelve trillion, one hundred fifty-seven billion, three hundred fifty-four million, four hundred four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 51 62 68 93 102 124 153 186 204 279 306 372 527 558 612 1054 1116 1581 2108 3162 3671 4743 6324 7342 9486 11013 14684 18972 22026 33039 44052 62407 66078 113801 124814 132156 187221 227602 249628 341403 374442 455204 561663 682806 748884 1024209 1123326 1365612 1610387 1934617 2048418 2246652 3220774 3869234 4096836 4831161 5803851 6441548 7738468 9662322 11607702 14493483 17411553 19324644 23215404 27376579 28986966 34823106 49921997 54753158 57973932 69646212 82129737 99843994 109506316 149765991 164259474 199687988 246389211 299531982 328518948 449297973 492778422 599063964 848673949 898595946 985556844 1697347898 1797191892 2546021847 3394695796 5092043694 5911730677 7638065541 10184087388 11823461354 15276131082 17735192031 23646922708 30552262164 35470384062 53205576093 70940768124 100499421509 106411152186 183263650987 200998843018 212822304372 301498264527 366527301974 401997686036 549790952961 602996529054 733054603948 904494793581 1099581905922 1205993058108 1649372858883 1808989587162 2199163811844 3115482066779 3298745717766 3617979174324 6230964133558 6597491435532 9346446200337 12461928267116 18692892400674 28039338601011 37385784801348 56078677202022 112157354404044