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400205052123312 = 24320297410780177
BaseRepresentation
bin101101011111110111111111…
…1111110000001100010110000
31221111000020012012000020221110
41122333233333332001202300
5404423424421320421222
63535055355101353320
7150203601162133662
oct13277577776014260
91844006165006843
10400205052123312
11106577011665917
1238a76506268840
13142402364484b7
1470b80566b8532
1531403b9da330c
hex16bfbfff818b0

400205052123312 has 40 divisors (see below), whose sum is σ = 1033913990577456. Its totient is φ = 133395111233536.

The previous prime is 400205052123311. The next prime is 400205052123407. The reversal of 400205052123312 is 213321250502004.

It is a self number, because there is not a number n which added to its sum of digits gives 400205052123312.

It is not an unprimeable number, because it can be changed into a prime (400205052123311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 204415833 + ... + 206364344.

Almost surely, 2400205052123312 is an apocalyptic number.

It is an amenable number.

400205052123312 is an abundant number, since it is smaller than the sum of its proper divisors (633708938454144).

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

400205052123312 is a wasteful number, since it uses less digits than its factorization.

400205052123312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410800485 (or 410800479 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 400205052123312 in words is "four hundred trillion, two hundred five billion, fifty-two million, one hundred twenty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 20297 40594 60891 81188 121782 162376 243564 324752 487128 974256 410780177 821560354 1232340531 1643120708 2464681062 3286241416 4929362124 6572482832 9858724248 19717448496 8337605252569 16675210505138 25012815757707 33350421010276 50025631515414 66700842020552 100051263030828 133401684041104 200102526061656 400205052123312