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112456117444 = 2211171915471439
BaseRepresentation
bin110100010111011101…
…0000010110011000100
3101202021021000200002211
41220232322002303010
53320302231224234
6123354524513204
711060524140466
oct1505672026304
9352237020084
10112456117444
1143768601540
12199653ab804
13a7b2303538
14562b490136
152dd2a56164
hex1a2ee82cc4

112456117444 has 96 divisors (see below), whose sum is σ = 229084692480. Its totient is φ = 47736998400.

The previous prime is 112456117381. The next prime is 112456117469. The reversal of 112456117444 is 444711654211.

It is a junction number, because it is equal to n+sod(n) for n = 112456117397 and 112456117406.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78148077 + ... + 78149515.

It is an arithmetic number, because the mean of its divisors is an integer number (2386298880).

Almost surely, 2112456117444 is an apocalyptic number.

It is an amenable number.

112456117444 is an abundant number, since it is smaller than the sum of its proper divisors (116628575036).

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

112456117444 is a wasteful number, since it uses less digits than its factorization.

112456117444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2209 (or 2207 counting only the distinct ones).

The product of its digits is 107520, while the sum is 40.

The spelling of 112456117444 in words is "one hundred twelve billion, four hundred fifty-six million, one hundred seventeen thousand, four hundred forty-four".

Divisors: 1 2 4 11 17 22 34 44 68 187 191 374 382 547 748 764 1094 1439 2101 2188 2878 3247 4202 5756 6017 6494 8404 9299 12034 12988 15829 18598 24068 24463 31658 35717 37196 48926 63316 71434 97852 102289 104477 142868 204578 208954 269093 274849 409156 417908 538186 549698 787133 1076372 1099396 1149247 1574266 1776109 2298494 3023339 3148532 3552218 4596988 4672433 6046678 7104436 8658463 9344866 12093356 13381261 17316926 18689732 19537199 26762522 34633852 39074398 51396763 53525044 78148796 102793526 147193871 150342403 205587052 294387742 300684806 588775484 601369612 1653766433 2555820851 3307532866 5111641702 6615065732 10223283404 28114029361 56228058722 112456117444