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40317871104 = 21032721937127
BaseRepresentation
bin100101100011001000…
…011110010000000000
310212001211012001200100
4211203020132100000
51130032333333404
630304411522400
72625054151500
oct454310362000
9125054161610
1040317871104
111610a429335
127992459400
133a56b99784
141d468b3a00
1510ae875d39
hex96321e400

40317871104 has 792 divisors, whose sum is σ = 147556930560. Its totient is φ = 10534551552.

The previous prime is 40317871103. The next prime is 40317871117. The reversal of 40317871104 is 40117871304.

40317871104 is a `hidden beast` number, since 403 + 178 + 71 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40317871103) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 317463489 + ... + 317463615.

Almost surely, 240317871104 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 40317871104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73778465280).

40317871104 is an abundant number, since it is smaller than the sum of its proper divisors (107239059456).

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

40317871104 is a wasteful number, since it uses less digits than its factorization.

40317871104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 40317871104 in words is "forty billion, three hundred seventeen million, eight hundred seventy-one thousand, one hundred four".