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141005415144660 = 22351121731208717659
BaseRepresentation
bin100000000011111001100001…
…101011100101110011010100
3200111020222121211012211001120
4200003321201223211303110
5121440213042234112120
61215520554330523540
741462206431021633
oct4003714153456324
9614228554184046
10141005415144660
1140a24073933500
12139939642965b0
13608a9a484c841
1426b69ac9bd51a
151147d1b360140
hex803e61ae5cd4

141005415144660 has 576 divisors, whose sum is σ = 474574719467520. Its totient is φ = 31117859942400.

The previous prime is 141005415144653. The next prime is 141005415144661. The reversal of 141005415144660 is 66441514500141.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141005415144661) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7984894911 + ... + 7984912569.

It is an arithmetic number, because the mean of its divisors is an integer number (823914443520).

Almost surely, 2141005415144660 is an apocalyptic number.

141005415144660 is a gapful number since it is divisible by the number (10) 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 141005415144660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237287359733760).

141005415144660 is an abundant number, since it is smaller than the sum of its proper divisors (333569304322860).

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

141005415144660 is a wasteful number, since it uses less digits than its factorization.

141005415144660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19828 (or 19815 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 141005415144660 in words is "one hundred forty-one trillion, five billion, four hundred fifteen million, one hundred forty-four thousand, six hundred sixty".