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112455126144 = 2733317102647
BaseRepresentation
bin110100010111011011…
…0010000110010000000
3101202021012011022022000
41220232312100302000
53320302003014034
6123354451344000
711060512541424
oct1505666206200
9352235138260
10112455126144
1143767a94789
1219964bb2000
13a7b204727a
14562b2b2b84
152dd290c599
hex1a2ed90c80

112455126144 has 128 divisors (see below), whose sum is σ = 332949052800. Its totient is φ = 37366428672.

The previous prime is 112455126143. The next prime is 112455126193. The reversal of 112455126144 is 441621554211.

112455126144 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 551 + 2 + 61 + 44 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 112455126099 and 112455126108.

It is not an unprimeable number, because it can be changed into a prime (112455126143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1044229 + ... + 1146875.

It is an arithmetic number, because the mean of its divisors is an integer number (2601164475).

Almost surely, 2112455126144 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 112455126144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166474526400).

112455126144 is an abundant number, since it is smaller than the sum of its proper divisors (220493926656).

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

112455126144 is a wasteful number, since it uses less digits than its factorization.

112455126144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102987 (or 102969 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 112455126144 in words is "one hundred twelve billion, four hundred fifty-five million, one hundred twenty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 317 384 432 576 634 864 951 1152 1268 1728 1902 2536 2853 3456 3804 5072 5706 7608 8559 10144 11412 15216 17118 20288 22824 30432 34236 40576 45648 60864 68472 91296 102647 121728 136944 182592 205294 273888 307941 365184 410588 547776 615882 821176 923823 1095552 1231764 1642352 1847646 2463528 2771469 3284704 3695292 4927056 5542938 6569408 7390584 9854112 11085876 13138816 14781168 19708224 22171752 29562336 32539099 39416448 44343504 59124672 65078198 88687008 97617297 118249344 130156396 177374016 195234594 260312792 292851891 354748032 390469188 520625584 585703782 780938376 878555673 1041251168 1171407564 1561876752 1757111346 2082502336 2342815128 3123753504 3514222692 4165004672 4685630256 6247507008 7028445384 9371260512 12495014016 14056890768 18742521024 28113781536 37485042048 56227563072 112455126144