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40852175040 = 2634517831117
BaseRepresentation
bin100110000010111110…
…101011100011000000
310220110001120111220000
4212002332223203000
51132131124100130
630433415520000
72644232521065
oct460276534300
9126401514800
1040852175040
1116363a95836
127b01389000
133b107a2851
141d97838c6c
1510e1718260
hex982fab8c0

40852175040 has 560 divisors, whose sum is σ = 155859736032. Its totient is φ = 10120495104.

The previous prime is 40852175009. The next prime is 40852175041. The reversal of 40852175040 is 4057125804.

40852175040 is a `hidden beast` number, since 40 + 8 + 521 + 7 + 50 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 40852174986 and 40852175004.

It is not an unprimeable number, because it can be changed into a prime (40852175041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 36572562 + ... + 36573678.

Almost surely, 240852175040 is an apocalyptic number.

40852175040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40852175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77929868016).

40852175040 is an abundant number, since it is smaller than the sum of its proper divisors (115007560992).

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

40852175040 is a wasteful number, since it uses less digits than its factorization.

40852175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 40852175040 in words is "forty billion, eight hundred fifty-two million, one hundred seventy-five thousand, forty".