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141163974720 = 26345193761127
BaseRepresentation
bin1000001101111000000…
…1110101000001000000
3111111100221220220220000
42003132001311001000
54303100434142340
6144503321520000
713125113662416
oct2033601650100
9444327826800
10141163974720
115495a42461a
1223437643000
1310408a81b32
146b920612b6
153a12ee2d30
hex20de075040

141163974720 has 1120 divisors, whose sum is σ = 556103454720. Its totient is φ = 33861058560.

The previous prime is 141163974673. The next prime is 141163974769. The reversal of 141163974720 is 27479361141.

It is a happy number.

141163974720 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 639 + 7 + 4 + 7 + 2 + 0 = 666.

141163974720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1111527297 + ... + 1111527423.

Almost surely, 2141163974720 is an apocalyptic number.

141163974720 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 141163974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278051727360).

141163974720 is an abundant number, since it is smaller than the sum of its proper divisors (414939480000).

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

141163974720 is a wasteful number, since it uses less digits than its factorization.

141163974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 141163974720 in words is "one hundred forty-one billion, one hundred sixty-three million, nine hundred seventy-four thousand, seven hundred twenty".