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42918839040 = 2835711236311
BaseRepresentation
bin100111111110001010…
…011000001100000000
311002210002100220221010
4213332022120030000
51200344210322130
631414443400520
73046366053420
oct477612301400
9132702326833
1042918839040
1117224625010
128399523140
13407c9bb15c
1421120c8480
1511b2d980b0
hex9fe298300

42918839040 has 576 divisors, whose sum is σ = 178353487872. Its totient is φ = 8529100800.

The previous prime is 42918839027. The next prime is 42918839059. The reversal of 42918839040 is 4093881924.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 6797485 + ... + 6803795.

It is an arithmetic number, because the mean of its divisors is an integer number (309641472).

Almost surely, 242918839040 is an apocalyptic number.

42918839040 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 42918839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89176743936).

42918839040 is an abundant number, since it is smaller than the sum of its proper divisors (135434648832).

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

42918839040 is a wasteful number, since it uses less digits than its factorization.

42918839040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376 (or 6362 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 42918839040 in words is "forty-two billion, nine hundred eighteen million, eight hundred thirty-nine thousand, forty".