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41002997029920 = 253251719144919531
BaseRepresentation
bin10010101001010110000010…
…00100101001110000100000
312101011211220100210022221200
421110223001010221300200
520333243114214424140
6223112303343321200
711431240330115232
oct1124530104516040
9171154810708850
1041002997029920
11120793009719a2
1247227a48b0200
1319b5748747993
14a1a7ac994252
154b18ae63c030
hex254ac1129c20

41002997029920 has 576 divisors, whose sum is σ = 149268481689600. Its totient is φ = 10213746278400.

The previous prime is 41002997029913. The next prime is 41002997029949. The reversal of 41002997029920 is 2992079920014.

41002997029920 is a `hidden beast` number, since 41 + 0 + 0 + 299 + 7 + 0 + 299 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2099370555 + ... + 2099390085.

It is an arithmetic number, because the mean of its divisors is an integer number (259146669600).

Almost surely, 241002997029920 is an apocalyptic number.

41002997029920 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 41002997029920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74634240844800).

41002997029920 is an abundant number, since it is smaller than the sum of its proper divisors (108265484659680).

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

41002997029920 is a wasteful number, since it uses less digits than its factorization.

41002997029920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20209 (or 20198 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 41002997029920 in words is "forty-one trillion, two billion, nine hundred ninety-seven million, twenty-nine thousand, nine hundred twenty".