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1139580829314 = 233292035735747
BaseRepresentation
bin10000100101010100010…
…011110111111010000010
311000221110100101020011000
4100211110103313322002
5122132330143014224
62231303300032430
7145221606140244
oct20452423677202
94027410336130
101139580829314
113aa32573a984
12164a37392716
1383601066435
143d228120094
151e99a7890c9
hex109544f7e82

1139580829314 has 64 divisors (see below), whose sum is σ = 2619928022400. Its totient is φ = 366733370304.

The previous prime is 1139580829313. The next prime is 1139580829337. The reversal of 1139580829314 is 4139280859311.

It is a happy number.

1139580829314 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 580 + 8 + 29 + 31 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1139580829313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31861189 + ... + 31896935.

It is an arithmetic number, because the mean of its divisors is an integer number (40936375350).

Almost surely, 21139580829314 is an apocalyptic number.

1139580829314 is an abundant number, since it is smaller than the sum of its proper divisors (1480347193086).

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

1139580829314 is a wasteful number, since it uses less digits than its factorization.

1139580829314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56144 (or 56138 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 1139580829314 in words is "one trillion, one hundred thirty-nine billion, five hundred eighty million, eight hundred twenty-nine thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 20357 35747 40714 61071 71494 107241 122142 183213 214482 321723 366426 549639 590353 643446 965169 1036663 1099278 1180706 1771059 1930338 2073326 3109989 3542118 5313177 6219978 9329967 10626354 15939531 18659934 27989901 31879062 55979802 727701679 1455403358 2183105037 4366210074 6549315111 13098630222 19647945333 21103348691 39295890666 42206697382 63310046073 126620092146 189930138219 379860276438 569790414657 1139580829314