Search a number
-
+
112355645032320 = 273568821850301
BaseRepresentation
bin11001100010111111010110…
…010011111000011110000000
3112201211002120002021012000020
4121202333112103320132000
5104211313330112013240
61034543245404053440
732444266424104224
oct3142772623703600
9481732502235006
10112355645032320
1132888841573698
121072733a234280
134a90126a97851
141da6083c70784
15cec9651110d0
hex662fd64f8780

112355645032320 has 128 divisors (see below), whose sum is σ = 358139243573280. Its totient is φ = 29961034752000.

The previous prime is 112355645032307. The next prime is 112355645032381. The reversal of 112355645032320 is 23230546553211.

112355645032320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 131711170 + ... + 132561470.

Almost surely, 2112355645032320 is an apocalyptic number.

112355645032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112355645032320 is an abundant number, since it is smaller than the sum of its proper divisors (245783598540960).

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

112355645032320 is an equidigital number, since it uses as much as digits as its factorization.

112355645032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 919144 (or 919132 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 42.

The spelling of 112355645032320 in words is "one hundred twelve trillion, three hundred fifty-five billion, six hundred forty-five million, thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 68821 137642 206463 275284 344105 412926 550568 688210 825852 850301 1032315 1101136 1376420 1651704 1700602 2064630 2202272 2550903 2752840 3303408 3401204 4129260 4251505 4404544 5101806 5505680 6606816 6802408 8258520 8503010 8809088 10203612 11011360 12754515 13213632 13604816 16517040 17006020 20407224 22022720 25509030 26427264 27209632 33034080 34012040 40814448 44045440 51018060 54419264 66068160 68024080 81628896 102036120 108838528 132136320 136048160 163257792 204072240 272096320 326515584 408144480 544192640 816288960 1632577920 58518565121 117037130242 175555695363 234074260484 292592825605 351111390726 468148520968 585185651210 702222781452 877778476815 936297041936 1170371302420 1404445562904 1755556953630 1872594083872 2340742604840 2808891125808 3511113907260 3745188167744 4681485209680 5617782251616 7022227814520 7490376335488 9362970419360 11235564503232 14044455629040 18725940838720 22471129006464 28088911258080 37451881677440 56177822516160 112355645032320