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116656740144 = 24327304937957
BaseRepresentation
bin110110010100101001…
…0001001011100110000
3102011010000020102011100
41230221102021130300
53402403111141034
6125331422444400
711266601634060
oct1545122113460
9364100212140
10116656740144
114552376354a
121a738133700
13b0016697b9
1459093093a0
15307b70a099
hex1b29489730

116656740144 has 120 divisors (see below), whose sum is σ = 373248605600. Its totient is φ = 33318687744.

The previous prime is 116656740131. The next prime is 116656740149. The reversal of 116656740144 is 441047656611.

116656740144 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 567 + 40 + 1 + 44 = 666.

It is a super-2 number, since 2×1166567401442 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116656740144.

It is not an unprimeable number, because it can be changed into a prime (116656740149) 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, 3054414 + ... + 3092370.

Almost surely, 2116656740144 is an apocalyptic number.

116656740144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116656740144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186624302800).

116656740144 is an abundant number, since it is smaller than the sum of its proper divisors (256591865456).

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

116656740144 is a wasteful number, since it uses less digits than its factorization.

116656740144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41027 (or 41018 counting only the distinct ones).

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

The spelling of 116656740144 in words is "one hundred sixteen billion, six hundred fifty-six million, seven hundred forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3049 6098 9147 12196 18294 21343 24392 27441 36588 37957 42686 48784 54882 64029 73176 75914 85372 109764 113871 128058 146352 151828 170744 192087 219528 227742 256116 265699 303656 341488 341613 384174 439056 455484 512232 531398 607312 683226 768348 797097 910968 1024464 1062796 1366452 1536696 1594194 1821936 2125592 2391291 2732904 3073392 3188388 4251184 4782582 5465808 6376776 9565164 12753552 19130328 38260656 115730893 231461786 347192679 462923572 694385358 810116251 925847144 1041578037 1388770716 1620232502 1851694288 2083156074 2430348753 2777541432 3240465004 4166312148 4860697506 5555082864 6480930008 7291046259 8332624296 9721395012 12961860016 14582092518 16665248592 19442790024 29164185036 38885580048 58328370072 116656740144