Search a number
-
+
40604312125575 = 325211236173160183
BaseRepresentation
bin10010011101101111011011…
…00110011100000010000111
312022202201211022210202001100
421032313231212130002013
520310230112401004300
6222205210302231143
711360364464256312
oct1116675546340207
9168681738722040
1040604312125575
1111a35212708410
124679479b854b3
131986c7c6cb663
14a0538b321979
154a6328416700
hex24eded99c087

40604312125575 has 288 divisors, whose sum is σ = 85298241420288. Its totient is φ = 18268436736000.

The previous prime is 40604312125561. The next prime is 40604312125661. The reversal of 40604312125575 is 57552121340604.

40604312125575 is a `hidden beast` number, since 4 + 0 + 6 + 0 + 4 + 31 + 21 + 25 + 575 = 666.

It is not a de Polignac number, because 40604312125575 - 26 = 40604312125511 is a prime.

It is a super-2 number, since 2×406043121255752 (a number of 28 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 40604312125575.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 253406934 + ... + 253567116.

It is an arithmetic number, because the mean of its divisors is an integer number (296174449376).

Almost surely, 240604312125575 is an apocalyptic number.

40604312125575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40604312125575 is an abundant number, since it is smaller than the sum of its proper divisors (44693929294713).

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

40604312125575 is a wasteful number, since it uses less digits than its factorization.

40604312125575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160367 (or 160359 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 40604312125575 in words is "forty trillion, six hundred four billion, three hundred twelve million, one hundred twenty-five thousand, five hundred seventy-five".