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364040040040 = 2359101001001
BaseRepresentation
bin1010100110000100111…
…10100010111001101000
31021210122120120010112221
411103002132202321220
521431023222240130
6435123201243424
735205152166415
oct5230236427150
91253576503487
10364040040040
11130430126226
125a678333574
1328437589321
14138963ad10c
15970994587a
hex54c27a2e68

364040040040 has 16 divisors (see below), whose sum is σ = 819090090180. Its totient is φ = 145616016000.

The previous prime is 364040039917. The next prime is 364040040073. The reversal of 364040040040 is 40040040463.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 333637932996 + 30402107044 = 577614^2 + 174362^2 .

It is a super-3 number, since 3×3640400400403 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 364040039987 and 364040040014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4550500461 + ... + 4550500540.

Almost surely, 2364040040040 is an apocalyptic number.

It is an amenable number.

364040040040 is an abundant number, since it is smaller than the sum of its proper divisors (455050050140).

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

364040040040 is a wasteful number, since it uses less digits than its factorization.

364040040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9101001012 (or 9101001008 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

The spelling of 364040040040 in words is "three hundred sixty-four billion, forty million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 9101001001 18202002002 36404004004 45505005005 72808008008 91010010010 182020020020 364040040040