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113342442752 = 287116194261
BaseRepresentation
bin110100110001110111…
…1000110110100000000
3101211120000210122212002
41221203233012310000
53324111131132002
6124022505523132
711121505603340
oct1514357066400
9354500718762
10113342442752
11440829438a0
1219b721a34a8
13a8c3b1c896
1456b308ad20
152e35781002
hex1a63bc6d00

113342442752 has 144 divisors (see below), whose sum is σ = 286695233664. Its totient is φ = 43435008000.

The previous prime is 113342442751. The next prime is 113342442779. The reversal of 113342442752 is 257244243311.

113342442752 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113342442751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1155302 + ... + 1249562.

Almost surely, 2113342442752 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 113342442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143347616832).

113342442752 is an abundant number, since it is smaller than the sum of its proper divisors (173352790912).

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

113342442752 is an equidigital number, since it uses as much as digits as its factorization.

113342442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94356 (or 94342 counting only the distinct ones).

The product of its digits is 161280, while the sum is 38.

The spelling of 113342442752 in words is "one hundred thirteen billion, three hundred forty-two million, four hundred forty-two thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 128 154 176 224 244 256 308 352 427 448 488 616 671 704 854 896 976 1232 1342 1408 1708 1792 1952 2464 2684 2816 3416 3904 4697 4928 5368 6832 7808 9394 9856 10736 13664 15616 18788 19712 21472 27328 37576 42944 54656 75152 85888 94261 109312 150304 171776 188522 300608 377044 601216 659827 754088 1036871 1202432 1319654 1508176 2073742 2639308 3016352 4147484 5278616 5749921 6032704 7258097 8294968 10557232 11499842 12065408 14516194 16589936 21114464 22999684 24130816 29032388 33179872 40249447 42228928 45999368 58064776 63249131 66359744 80498894 84457856 91998736 116129552 126498262 132719488 160997788 168915712 183997472 232259104 252996524 265438976 321995576 367994944 442743917 464518208 505993048 643991152 735989888 885487834 929036416 1011986096 1287982304 1471979776 1770975668 1858072832 2023972192 2575964608 3541951336 4047944384 5151929216 7083902672 8095888768 10303858432 14167805344 16191777536 28335610688 56671221376 113342442752