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42476997120 = 293541277487
BaseRepresentation
bin100111100011110100…
…111000101000000000
311001122021222000202120
4213203310320220000
51143443102401440
631302541244240
73032422342515
oct474364705000
9131567860676
1042476997120
11170181806a8
128295563680
13400c2b982c
1420ad55130c
1511891bbdd0
hex9e3d38a00

42476997120 has 320 divisors, whose sum is σ = 139894546176. Its totient is φ = 10988421120.

The previous prime is 42476997119. The next prime is 42476997133. The reversal of 42476997120 is 2179967424.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87221517 + ... + 87222003.

Almost surely, 242476997120 is an apocalyptic number.

42476997120 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 42476997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69947273088).

42476997120 is an abundant number, since it is smaller than the sum of its proper divisors (97417549056).

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

42476997120 is a wasteful number, since it uses less digits than its factorization.

42476997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 51.

The spelling of 42476997120 in words is "forty-two billion, four hundred seventy-six million, nine hundred ninety-seven thousand, one hundred twenty".