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40813775136 = 25321091300133
BaseRepresentation
bin100110000000101100…
…001100100100100000
310220100101022121010100
4212000230030210200
51132041311301021
630425524502400
72643255236031
oct460054144440
9126311277110
1040813775136
1116344348382
127ab054aa00
133b05849404
141d926c0a88
1510dd180626
hex980b0c920

40813775136 has 72 divisors (see below), whose sum is σ = 117129072060. Its totient is φ = 13479768576.

The previous prime is 40813775131. The next prime is 40813775179. The reversal of 40813775136 is 63157731804.

It can be written as a sum of positive squares in 2 ways, for example, as 40579685136 + 234090000 = 201444^2 + 15300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 40813775091 and 40813775100.

It is not an unprimeable number, because it can be changed into a prime (40813775131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 618675 + ... + 681458.

Almost surely, 240813775136 is an apocalyptic number.

It is an amenable number.

40813775136 is an abundant number, since it is smaller than the sum of its proper divisors (76315296924).

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

40813775136 is a wasteful number, since it uses less digits than its factorization.

40813775136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300258 (or 1300247 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40813775136 in words is "forty billion, eight hundred thirteen million, seven hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 109 144 218 288 327 436 654 872 981 1308 1744 1962 2616 3488 3924 5232 7848 10464 15696 31392 1300133 2600266 3900399 5200532 7800798 10401064 11701197 15601596 20802128 23402394 31203192 41604256 46804788 62406384 93609576 124812768 141714497 187219152 283428994 374438304 425143491 566857988 850286982 1133715976 1275430473 1700573964 2267431952 2550860946 3401147928 4534863904 5101721892 6802295856 10203443784 13604591712 20406887568 40813775136