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42040504320 = 212356171109
BaseRepresentation
bin100111001001110011…
…110011000000000000
311000111212121220012120
4213021303303000000
51142044332114240
631151345524240
73015542250663
oct471163630000
9130455556176
1042040504320
1116913850151
128193343680
133c6ca3bb79
14206b5ab6da
151160beaad0
hex9c9cf3000

42040504320 has 208 divisors, whose sum is σ = 134852692320. Its totient is φ = 11182538752.

The previous prime is 42040504291. The next prime is 42040504333. The reversal of 42040504320 is 2340504024.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37907926 + ... + 37909034.

Almost surely, 242040504320 is an apocalyptic number.

42040504320 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 42040504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67426346160).

42040504320 is an abundant number, since it is smaller than the sum of its proper divisors (92812188000).

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

42040504320 is a wasteful number, since it uses less digits than its factorization.

42040504320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758 (or 1736 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The spelling of 42040504320 in words is "forty-two billion, forty million, five hundred four thousand, three hundred twenty".