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40125569445 = 32513222972
BaseRepresentation
bin100101010111101010…
…111001100110100101
310211120102100010101200
4211113222321212211
51124134121210240
630233342113113
72620230466323
oct452752714645
9124512303350
1040125569445
1116020924245
127939b7b799
133a260a9500
141d29136d13
15109ca3c930
hex957ab99a5

40125569445 has 54 divisors (see below), whose sum is σ = 75345408918. Its totient is φ = 19745526528.

The previous prime is 40125569441. The next prime is 40125569453. The reversal of 40125569445 is 54496552104.

40125569445 is a `hidden beast` number, since 4 + 0 + 1 + 2 + 556 + 94 + 4 + 5 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 23998347396 + 16127222049 = 154914^2 + 126993^2 .

It is not a de Polignac number, because 40125569445 - 22 = 40125569441 is a prime.

It is a super-2 number, since 2×401255694452 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 40125569445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40125569441) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 17467537 + ... + 17469833.

Almost surely, 240125569445 is an apocalyptic number.

40125569445 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40125569445 is a deficient number, since it is larger than the sum of its proper divisors (35219839473).

40125569445 is an equidigital number, since it uses as much as digits as its factorization.

40125569445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

Multiplying 40125569445 by its sum of digits (45), we get a square (1805650625025 = 13437452).

40125569445 divided by its sum of digits (45) gives a square (891679321 = 298612).

The spelling of 40125569445 in words is "forty billion, one hundred twenty-five million, five hundred sixty-nine thousand, four hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2297 2535 6891 7605 11485 20673 29861 34455 89583 103365 149305 268749 388193 447915 1164579 1343745 1940965 3493737 5276209 5822895 15828627 17468685 26381045 47485881 68590717 79143135 205772151 237429405 342953585 617316453 891679321 1028860755 2675037963 3086582265 4458396605 8025113889 13375189815 40125569445