Search a number
-
+
112412415744 = 2832421115891
BaseRepresentation
bin110100010110001001…
…1010101011100000000
3101202011012210101122100
41220230103111130000
53320210034300434
6123350324110400
711056453524336
oct1505423253400
9352135711570
10112412415744
1143745972832
1219952835400
13a7a6241b45
145625755b56
152dcdcc2699
hex1a2c4d5700

112412415744 has 108 divisors (see below), whose sum is σ = 324885374632. Its totient is φ = 37381478400.

The previous prime is 112412415701. The next prime is 112412415757. The reversal of 112412415744 is 447514214211.

112412415744 is a `hidden beast` number, since 1 + 1 + 2 + 41 + 2 + 41 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112412415699 and 112412415708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912039 + ... + 1027929.

Almost surely, 2112412415744 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 112412415744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162442687316).

112412415744 is an abundant number, since it is smaller than the sum of its proper divisors (212472958888).

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

112412415744 is a wasteful number, since it uses less digits than its factorization.

112412415744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116334 (or 116317 counting only the distinct ones).

The product of its digits is 35840, while the sum is 36.

Adding to 112412415744 its reverse (447514214211), we get a palindrome (559926629955).

The spelling of 112412415744 in words is "one hundred twelve billion, four hundred twelve million, four hundred fifteen thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 421 576 768 842 1152 1263 1684 2304 2526 3368 3789 5052 6736 7578 10104 13472 15156 20208 26944 30312 40416 53888 60624 80832 107776 115891 121248 161664 231782 242496 323328 347673 463564 484992 695346 927128 969984 1043019 1390692 1854256 2086038 2781384 3708512 4172076 5562768 7417024 8344152 11125536 14834048 16688304 22251072 29668096 33376608 44502144 48790111 66753216 89004288 97580222 133506432 146370333 195160444 267012864 292740666 390320888 439110999 585481332 780641776 878221998 1170962664 1561283552 1756443996 2341925328 3122567104 3512887992 4683850656 6245134208 7025775984 9367701312 12490268416 14051551968 18735402624 28103103936 37470805248 56206207872 112412415744