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118331942144 = 2813316118803
BaseRepresentation
bin110111000110100100…
…0100010010100000000
3102022102202102111021212
41232031020202110000
53414320434122034
6130205544105252
711356242624653
oct1561510422400
9368382374255
10118331942144
1146203329609
121ab25165228
13b20a742aa0
145a279b789a
1531288112ce
hex1b8d222500

118331942144 has 144 divisors (see below), whose sum is σ = 266895250944. Its totient is φ = 51983769600.

The previous prime is 118331942137. The next prime is 118331942149. The reversal of 118331942144 is 441249133811.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118331942149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6283847 + ... + 6302649.

Almost surely, 2118331942144 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 118331942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133447625472).

118331942144 is an abundant number, since it is smaller than the sum of its proper divisors (148563308800).

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

118331942144 is a wasteful number, since it uses less digits than its factorization.

118331942144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18924 (or 18910 counting only the distinct ones).

The product of its digits is 82944, while the sum is 41.

The spelling of 118331942144 in words is "one hundred eighteen billion, three hundred thirty-one million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 61 62 64 104 122 124 128 208 244 248 256 403 416 488 496 793 806 832 976 992 1586 1612 1664 1891 1952 1984 3172 3224 3328 3782 3904 3968 6344 6448 7564 7808 7936 12688 12896 15128 15616 18803 24583 25376 25792 30256 37606 49166 50752 51584 60512 75212 98332 101504 103168 121024 150424 196664 203008 242048 244439 300848 393328 484096 488878 582893 601696 786656 977756 1146983 1165786 1203392 1573312 1955512 2293966 2331572 2406784 3146624 3911024 4587932 4663144 4813568 6293248 7577609 7822048 9175864 9326288 14910779 15155218 15644096 18351728 18652576 29821558 30310436 31288192 35556473 36703456 37305152 59643116 60620872 62576384 71112946 73406912 74610304 119286232 121241744 142225892 146813824 149220608 238572464 242483488 284451784 293627648 462234149 477144928 484966976 568903568 924468298 954289856 969933952 1137807136 1848936596 1908579712 1939867904 2275614272 3697873192 3817159424 4551228544 7395746384 9102457088 14791492768 29582985536 59165971072 118331942144