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40558207078944 = 2532140827107913
BaseRepresentation
bin10010011100011001100011…
…00001101001001000100000
312022121022211012000200222200
421032030301201221020200
520304001202003011234
6222132103315133200
711354143115655612
oct1116146141511040
9168538735020880
1040558207078944
1111a17703600495
1246705515a4200
131982812890789
14a03055ddcdb2
154a502a996d99
hex24e331869220

40558207078944 has 36 divisors (see below), whose sum is σ = 115337401381566. Its totient is φ = 13519402359552.

The previous prime is 40558207078943. The next prime is 40558207078999. The reversal of 40558207078944 is 44987070285504.

It is a happy number.

40558207078944 is a `hidden beast` number, since 4 + 0 + 5 + 582 + 0 + 7 + 0 + 7 + 8 + 9 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23552579610000 + 17005627468944 = 4853100^2 + 4123788^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×405582070789442 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40558207078943) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 70413553669 + ... + 70413554244.

Almost surely, 240558207078944 is an apocalyptic number.

It is an amenable number.

40558207078944 is an abundant number, since it is smaller than the sum of its proper divisors (74779194302622).

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

40558207078944 is a wasteful number, since it uses less digits than its factorization.

40558207078944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140827107929 (or 140827107918 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 40558207078944 in words is "forty trillion, five hundred fifty-eight billion, two hundred seven million, seventy-eight thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 140827107913 281654215826 422481323739 563308431652 844962647478 1126616863304 1267443971217 1689925294956 2253233726608 2534887942434 3379850589912 4506467453216 5069775884868 6759701179824 10139551769736 13519402359648 20279103539472 40558207078944