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42296446080 = 2733571767307
BaseRepresentation
bin100111011001000100…
…001000110010000000
311001011201020002022000
4213121010020302000
51143110342233310
631233011344000
73025100600610
oct473104106200
9131151202260
1042296446080
1116a35271a69
128244bb2000
133cb0a81bb5
142093592a40
1511784054c0
hex9d9108c80

42296446080 has 1024 divisors, whose sum is σ = 184575283200. Its totient is φ = 8934064128.

The previous prime is 42296446051. The next prime is 42296446139. The reversal of 42296446080 is 8064469224.

42296446080 is a `hidden beast` number, since 4 + 22 + 96 + 4 + 460 + 80 = 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 127 ways as a sum of consecutive naturals, for example, 137773287 + ... + 137773593.

It is an arithmetic number, because the mean of its divisors is an integer number (180249300).

Almost surely, 242296446080 is an apocalyptic number.

42296446080 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 42296446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92287641600).

42296446080 is an abundant number, since it is smaller than the sum of its proper divisors (142278837120).

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

42296446080 is a wasteful number, since it uses less digits than its factorization.

42296446080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 42296446080 in words is "forty-two billion, two hundred ninety-six million, four hundred forty-six thousand, eighty".