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42130844426880 = 2733511534182037
BaseRepresentation
bin10011001010001010110100…
…00001000010001010000000
312112011200001222122102211000
421211011122001002022000
521010232432133130010
6225334350455252000
711605565412606066
oct1145053201021200
9175150058572730
1042130844426880
111247365536a440
1248852a667a000
131a67bc9940021
14a59202646036
154d0dbec5d7c0
hex26515a042280

42130844426880 has 512 divisors, whose sum is σ = 165849590188800. Its totient is φ = 10020827381760.

The previous prime is 42130844426821. The next prime is 42130844426939. The reversal of 42130844426880 is 8862444803124.

It is a happy number.

42130844426880 is a `hidden beast` number, since 4 + 2 + 130 + 8 + 4 + 4 + 426 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (42130844426821) and next prime (42130844426939).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7983222 + ... + 12165258.

Almost surely, 242130844426880 is an apocalyptic number.

42130844426880 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 42130844426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82924795094400).

42130844426880 is an abundant number, since it is smaller than the sum of its proper divisors (123718745761920).

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

42130844426880 is a wasteful number, since it uses less digits than its factorization.

42130844426880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182129 (or 4182111 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 42130844426880 in words is "forty-two trillion, one hundred thirty billion, eight hundred forty-four million, four hundred twenty-six thousand, eight hundred eighty".