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112743435256044 = 2231910923269194963
BaseRepresentation
bin11001101000101000100000…
…011010001100000011101100
3112210012011111211222122200220
4121220220200122030003230
5104234142023411143134
61035441341422251340
732514305266445655
oct3150504032140354
9483164454878626
10112743435256044
1132a18249a9439a
121078a524426b50
134aba8779732a8
141dbab5060a52c
15d07aaeb4d149
hex668a2068c0ec

112743435256044 has 96 divisors (see below), whose sum is σ = 279467636448000. Its totient is φ = 35274858345216.

The previous prime is 112743435256043. The next prime is 112743435256079. The reversal of 112743435256044 is 440652534347211.

It is a super-2 number, since 2×1127434352560442 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (112743435256043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 578183707 + ... + 578378669.

It is an arithmetic number, because the mean of its divisors is an integer number (2911121213000).

Almost surely, 2112743435256044 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 112743435256044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139733818224000).

112743435256044 is an abundant number, since it is smaller than the sum of its proper divisors (166724201191956).

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

112743435256044 is a wasteful number, since it uses less digits than its factorization.

112743435256044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218367 (or 218365 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 112743435256044 in words is "one hundred twelve trillion, seven hundred forty-three billion, four hundred thirty-five million, two hundred fifty-six thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 109 114 218 228 327 436 654 1308 2071 4142 6213 8284 12426 23269 24852 46538 69807 93076 139614 194963 279228 389926 442111 584889 779852 884222 1169778 1326333 1768444 2339556 2536321 2652666 3704297 5072642 5305332 7408594 7608963 10145284 11112891 14817188 15217926 21250967 22225782 30435852 42501934 44451564 48190099 63752901 85003868 96380198 127505802 144570297 192760396 255011604 289140594 403768373 578281188 807536746 1211305119 1615073492 2422610238 4536594047 4845220476 9073188094 13609782141 18146376188 27219564282 54439128564 86195286893 172390573786 258585860679 344781147572 494488751123 517171721358 988977502246 1034343442716 1483466253369 1977955004492 2966932506738 5933865013476 9395286271337 18790572542674 28185858814011 37581145085348 56371717628022 112743435256044