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40226057100 = 2232521943227241
BaseRepresentation
bin100101011101101010…
…001110101110001100
310211211102102102112200
4211131222032232030
51124340332311400
630251332001500
72622560562255
oct453552165614
9124742372480
1040226057100
1116072619099
127967760290
133a40b60c68
141d38613b2c
1510a678bb00
hex95da8eb8c

40226057100 has 432 divisors, whose sum is σ = 136973316480. Its totient is φ = 9841305600.

The previous prime is 40226056961. The next prime is 40226057189. The reversal of 40226057100 is 175062204.

40226057100 is a `hidden beast` number, since 40 + 2 + 2 + 605 + 7 + 10 + 0 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 166912980 + ... + 166913220.

Almost surely, 240226057100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40226057100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68486658240).

40226057100 is an abundant number, since it is smaller than the sum of its proper divisors (96747259380).

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

40226057100 is a wasteful number, since it uses less digits than its factorization.

40226057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The spelling of 40226057100 in words is "forty billion, two hundred twenty-six million, fifty-seven thousand, one hundred".