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40402256895 = 34572111323619
BaseRepresentation
bin100101101000001010…
…011000001111111111
310212021200222022020000
4211220022120033333
51130220434210040
630321024325343
72630130342300
oct455012301777
9125250868200
1040402256895
1116153025660
1279b6773853
133a6b5041b0
141d53b9c7a7
1510b6e94130
hex9682983ff

40402256895 has 480 divisors, whose sum is σ = 103448378880. Its totient is φ = 14801149440.

The previous prime is 40402256891. The next prime is 40402256897. The reversal of 40402256895 is 59865220404.

40402256895 is a `hidden beast` number, since 40 + 40 + 2 + 2 + 568 + 9 + 5 = 666.

It is not a de Polignac number, because 40402256895 - 22 = 40402256891 is a prime.

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 40402256895.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40402256891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 65269896 + ... + 65270514.

It is an arithmetic number, because the mean of its divisors is an integer number (215517456).

Almost surely, 240402256895 is an apocalyptic number.

40402256895 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

40402256895 is an abundant number, since it is smaller than the sum of its proper divisors (63046121985).

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

40402256895 is a wasteful number, since it uses less digits than its factorization.

40402256895 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 40402256895 in words is "forty billion, four hundred two million, two hundred fifty-six thousand, eight hundred ninety-five".