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112042114440 = 233523173234653
BaseRepresentation
bin110100001011000111…
…0101111110110001000
3101201012102000010202020
41220112032233312020
53313430240130230
6123245455204440
711044336154604
oct1502616576610
9351172003666
10112042114440
11435759419a3
121986a816720
13a7475cb349
1455cc4c2504
152dab528810
hex1a163afd88

112042114440 has 128 divisors (see below), whose sum is σ = 352769437440. Its totient is φ = 28413541376.

The previous prime is 112042114433. The next prime is 112042114441. The reversal of 112042114440 is 44411240211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 112042114440.

It is not an unprimeable number, because it can be changed into a prime (112042114441) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 360154 + ... + 594806.

It is an arithmetic number, because the mean of its divisors is an integer number (2756011230).

Almost surely, 2112042114440 is an apocalyptic number.

112042114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112042114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176384718720).

112042114440 is an abundant number, since it is smaller than the sum of its proper divisors (240727323000).

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

112042114440 is a wasteful number, since it uses less digits than its factorization.

112042114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234863 (or 234859 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 112042114440 its reverse (44411240211), we get a palindrome (156453354651).

The spelling of 112042114440 in words is "one hundred twelve billion, forty-two million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 173 184 230 276 345 346 460 519 552 690 692 865 920 1038 1380 1384 1730 2076 2595 2760 3460 3979 4152 5190 6920 7958 10380 11937 15916 19895 20760 23874 31832 39790 47748 59685 79580 95496 119370 159160 234653 238740 469306 477480 703959 938612 1173265 1407918 1877224 2346530 2815836 3519795 4693060 5397019 5631672 7039590 9386120 10794038 14079180 16191057 21588076 26985095 28158360 32382114 40594969 43176152 53970190 64764228 80955285 81189938 107940380 121784907 129528456 161910570 162379876 202974845 215880760 243569814 323821140 324759752 405949690 487139628 608924535 647642280 811899380 933684287 974279256 1217849070 1623798760 1867368574 2435698140 2801052861 3734737148 4668421435 4871396280 5602105722 7469474296 9336842870 11204211444 14005264305 18673685740 22408422888 28010528610 37347371480 56021057220 112042114440