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112945347144 = 233271072094373
BaseRepresentation
bin110100100110000010…
…0010011101001001000
3101210112100121010002100
41221030010103221020
53322303002102034
6123515242433400
711105614416240
oct1511404235110
9353470533070
10112945347144
1143999782003
1219a81202860
13a85c787276
145676440b20
152e10993099
hex1a4c113a48

112945347144 has 96 divisors (see below), whose sum is σ = 352860131520. Its totient is φ = 31968494208.

The previous prime is 112945347143. The next prime is 112945347149. The reversal of 112945347144 is 441743549211.

112945347144 is a `hidden beast` number, since 1 + 1 + 2 + 9 + 4 + 534 + 71 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 112945347144.

It is not an unprimeable number, because it can be changed into a prime (112945347143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 993259 + ... + 1101114.

It is an arithmetic number, because the mean of its divisors is an integer number (3675626370).

Almost surely, 2112945347144 is an apocalyptic number.

112945347144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112945347144 is an abundant number, since it is smaller than the sum of its proper divisors (239914784376).

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

112945347144 is a wasteful number, since it uses less digits than its factorization.

112945347144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094499 (or 2094492 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 112945347144 in words is "one hundred twelve billion, nine hundred forty-five million, three hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 107 126 168 214 252 321 428 504 642 749 856 963 1284 1498 1926 2247 2568 2996 3852 4494 5992 6741 7704 8988 13482 17976 26964 53928 2094373 4188746 6283119 8377492 12566238 14660611 16754984 18849357 25132476 29321222 37698714 43981833 50264952 58642444 75397428 87963666 117284888 131945499 150794856 175927332 224097911 263890998 351854664 448195822 527781996 672293733 896391644 1055563992 1344587466 1568685377 1792783288 2016881199 2689174932 3137370754 4033762398 4706056131 5378349864 6274741508 8067524796 9412112262 12549483016 14118168393 16135049592 18824224524 28236336786 37648449048 56472673572 112945347144