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112643455144 = 231123307181283
BaseRepresentation
bin110100011101000010…
…0101011100010101000
3101202202022112102010011
41220322010223202220
53321143211031034
6123425300101304
711065260366523
oct1507204534250
9352668472104
10112643455144
1143854326090
12199b8094834
13a81207624c
1456482d7bba
152de420d864
hex1a3a12b8a8

112643455144 has 64 divisors (see below), whose sum is σ = 241209239040. Its totient is φ = 48815616960.

The previous prime is 112643455139. The next prime is 112643455151. The reversal of 112643455144 is 441554346211.

112643455144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 112643455097 and 112643455106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 530727 + ... + 712009.

It is an arithmetic number, because the mean of its divisors is an integer number (3768894360).

Almost surely, 2112643455144 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 112643455144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120604619520).

112643455144 is an abundant number, since it is smaller than the sum of its proper divisors (128565783896).

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

112643455144 is a wasteful number, since it uses less digits than its factorization.

112643455144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181630 (or 181626 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 112643455144 in words is "one hundred twelve billion, six hundred forty-three million, four hundred fifty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 307 506 614 1012 1228 2024 2456 3377 6754 7061 13508 14122 27016 28244 56488 77671 155342 181283 310684 362566 621368 725132 1450264 1994113 3988226 4169509 7976452 8339018 15952904 16678036 33356072 45864599 55653881 91729198 111307762 183458396 222615524 366916792 445231048 612192691 1224385382 1280039263 2448770764 2560078526 4897541528 5120157052 10240314104 14080431893 28160863786 56321727572 112643455144