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3995158805040 = 24351361137315289
BaseRepresentation
bin111010001000110010000…
…001010111101000110000
3112010221012111010111221010
4322020302001113220300
51010424041123230130
612255203422230520
7561432521350104
oct72106201275060
915127174114833
103995158805040
111300378aa01a7
12546356725440
1322c984b2c730
14db51c3b9904
156ddcae720b0
hex3a232057a30

3995158805040 has 320 divisors, whose sum is σ = 13567095400320. Its totient is φ = 966534266880.

The previous prime is 3995158805023. The next prime is 3995158805063. The reversal of 3995158805040 is 405088515993.

It is a happy number.

It is a super-2 number, since 2×39951588050402 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261301716 + ... + 261317004.

It is an arithmetic number, because the mean of its divisors is an integer number (42397173126).

Almost surely, 23995158805040 is an apocalyptic number.

3995158805040 is a gapful number since it is divisible by the number (30) 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 3995158805040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6783547700160).

3995158805040 is an abundant number, since it is smaller than the sum of its proper divisors (9571936595280).

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

3995158805040 is a wasteful number, since it uses less digits than its factorization.

3995158805040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16752 (or 16746 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 57.

The spelling of 3995158805040 in words is "three trillion, nine hundred ninety-five billion, one hundred fifty-eight million, eight hundred five thousand, forty".