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113011083714640 = 24522919493165073
BaseRepresentation
bin11001101100100001110001…
…100000000010000001010000
3112211010202100201210002200211
4121230201301200002001100
5104303033144412332030
61040204324121453504
732542532002013536
oct3154416140020120
9484122321702624
10113011083714640
1133010805622811
121081237b341294
134b09b90189a97
141dc9aa0c9a156
15d0ea2703012a
hex66c871802050

113011083714640 has 80 divisors (see below), whose sum is σ = 264033638154000. Its totient is φ = 44983927627776.

The previous prime is 113011083714623. The next prime is 113011083714653. The reversal of 113011083714640 is 46417380110311.

It can be written as a sum of positive squares in 8 ways, for example, as 7402905005584 + 105608178709056 = 2720828^2 + 10276584^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 113011083714593 and 113011083714602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34123144 + ... + 37288216.

It is an arithmetic number, because the mean of its divisors is an integer number (3300420476925).

Almost surely, 2113011083714640 is an apocalyptic number.

113011083714640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113011083714640 is an abundant number, since it is smaller than the sum of its proper divisors (151022554439360).

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

113011083714640 is a wasteful number, since it uses less digits than its factorization.

113011083714640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3167264 (or 3167258 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 113011083714640 in words is "one hundred thirteen trillion, eleven billion, eighty-three million, seven hundred fourteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 229 458 916 1145 1832 1949 2290 3664 3898 4580 7796 9160 9745 15592 18320 19490 31184 38980 77960 155920 446321 892642 1785284 2231605 3165073 3570568 4463210 6330146 7141136 8926420 12660292 15825365 17852840 25320584 31650730 35705680 50641168 63301460 126602920 253205840 724801717 1449603434 2899206868 3624008585 5798413736 6168727277 7248017170 11596827472 12337454554 14496034340 24674909108 28992068680 30843636385 49349818216 57984137360 61687272770 98699636432 123374545540 246749091080 493498182160 1412638546433 2825277092866 5650554185732 7063192732165 11301108371464 14126385464330 22602216742928 28252770928660 56505541857320 113011083714640