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40800444448 = 251775000817
BaseRepresentation
bin100101111111111001…
…010110000000100000
310220022110020022212011
4211333321112000200
51132024403210243
630424331042304
72643034025041
oct457771260040
9126273208764
1040800444448
1116337872885
127aa7ba0394
133b02b5c82a
141d90a108c8
1510dbdea89d
hex97fe56020

40800444448 has 24 divisors (see below), whose sum is σ = 85050927612. Its totient is φ = 19200208896.

The previous prime is 40800444427. The next prime is 40800444449. The reversal of 40800444448 is 84444400804.

It can be written as a sum of positive squares in 2 ways, for example, as 39733246224 + 1067198224 = 199332^2 + 32668^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 40800444448.

It is not an unprimeable number, because it can be changed into a prime (40800444449) 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 3 ways as a sum of consecutive naturals, for example, 37499865 + ... + 37500952.

Almost surely, 240800444448 is an apocalyptic number.

It is an amenable number.

40800444448 is an abundant number, since it is smaller than the sum of its proper divisors (44250483164).

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

40800444448 is a wasteful number, since it uses less digits than its factorization.

40800444448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75000844 (or 75000836 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

The spelling of 40800444448 in words is "forty billion, eight hundred million, four hundred forty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 75000817 150001634 300003268 600006536 1200013072 1275013889 2400026144 2550027778 5100055556 10200111112 20400222224 40800444448