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80291144319120 = 243257173130229189
BaseRepresentation
bin10010010000011000111101…
…001000101100000010010000
3101112021202110220020211222100
4102100120331020230002100
541010442230421202440
6442433124213440400
722624562256031260
oct2220307510540220
9345252426224870
1080291144319120
1123646312867309
129008b65940100
1335a55650a0a67
1415b817d92b7a0
15943854927230
hex49063d22c090

80291144319120 has 480 divisors, whose sum is σ = 336817987983360. Its totient is φ = 16715531796480.

The previous prime is 80291144319079. The next prime is 80291144319143. The reversal of 80291144319120 is 2191344119208.

80291144319120 is a `hidden beast` number, since 8 + 0 + 2 + 9 + 11 + 443 + 191 + 2 + 0 = 666.

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

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, 12458515 + ... + 17770674.

It is an arithmetic number, because the mean of its divisors is an integer number (701704141632).

Almost surely, 280291144319120 is an apocalyptic number.

80291144319120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80291144319120 is an abundant number, since it is smaller than the sum of its proper divisors (256526843664240).

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

80291144319120 is a wasteful number, since it uses less digits than its factorization.

80291144319120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30229263 (or 30229254 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 80291144319120 in words is "eighty trillion, two hundred ninety-one billion, one hundred forty-four million, three hundred nineteen thousand, one hundred twenty".