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1139460971112 = 2332711311701521
BaseRepresentation
bin10000100101001101001…
…010101001101001101000
311000221010222211210121100
4100211031022221221220
5122132104002033422
62231243335041400
7145215622306362
oct20451512515150
94027128753540
101139460971112
113aa274015712
12164a03210260
13835b228bc19
143d21623dd32
151e98eeb07ac
hex1094d2a9a68

1139460971112 has 96 divisors (see below), whose sum is σ = 3153396692160. Its totient is φ = 371611968000.

The previous prime is 1139460971087. The next prime is 1139460971141. The reversal of 1139460971112 is 2111790649311.

1139460971112 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 460 + 9 + 71 + 112 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 181089 + ... + 1520432.

It is an arithmetic number, because the mean of its divisors is an integer number (32847882210).

Almost surely, 21139460971112 is an apocalyptic number.

1139460971112 is a gapful number since it is divisible by the number (12) 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 1139460971112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576698346080).

1139460971112 is an abundant number, since it is smaller than the sum of its proper divisors (2013935721048).

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

1139460971112 is a wasteful number, since it uses less digits than its factorization.

1139460971112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701735 (or 1701728 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1139460971112 in words is "one trillion, one hundred thirty-nine billion, four hundred sixty million, nine hundred seventy-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 71 72 131 142 213 262 284 393 426 524 568 639 786 852 1048 1179 1278 1572 1704 2358 2556 3144 4716 5112 9301 9432 18602 27903 37204 55806 74408 83709 111612 167418 223224 334836 669672 1701521 3403042 5104563 6806084 10209126 13612168 15313689 20418252 30627378 40836504 61254756 120807991 122509512 222899251 241615982 362423973 445798502 483231964 668697753 724847946 891597004 966463928 1087271919 1337395506 1449695892 1783194008 2006093259 2174543838 2674791012 2899391784 4012186518 4349087676 5349582024 8024373036 8698175352 15825846821 16048746072 31651693642 47477540463 63303387284 94955080926 126606774568 142432621389 189910161852 284865242778 379820323704 569730485556 1139460971112