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43056416040 = 233511193746399
BaseRepresentation
bin101000000110010111…
…001100010100101000
311010010200020120002120
4220012113030110220
51201134420303130
631440240231240
73052656332511
oct500627142450
9133120216076
1043056416040
1117295251710
12841760b520
1340a235a671
14212649ba08
1511beec1910
hexa065cc528

43056416040 has 256 divisors, whose sum is σ = 152340480000. Its totient is φ = 9621089280.

The previous prime is 43056416027. The next prime is 43056416041. The reversal of 43056416040 is 4061465034.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 43056415992 and 43056416010.

It is not an unprimeable number, because it can be changed into a prime (43056416041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904761 + ... + 951159.

It is an arithmetic number, because the mean of its divisors is an integer number (595080000).

Almost surely, 243056416040 is an apocalyptic number.

43056416040 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 43056416040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76170240000).

43056416040 is an abundant number, since it is smaller than the sum of its proper divisors (109284063960).

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

43056416040 is a wasteful number, since it uses less digits than its factorization.

43056416040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46480 (or 46476 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The spelling of 43056416040 in words is "forty-three billion, fifty-six million, four hundred sixteen thousand, forty".