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43404364640 = 25572132174147
BaseRepresentation
bin101000011011000110…
…100000101101100000
311011000220222011211202
4220123012200231200
51202343004132030
631534550100332
73064413004100
oct503306405540
9134026864752
1043404364640
11174536a563a
1284b404a6a8
134129475c00
14215a793200
1511e0802745
hexa1b1a0b60

43404364640 has 864 divisors, whose sum is σ = 143080608384. Its totient is φ = 12345016320.

The previous prime is 43404364639. The next prime is 43404364649. The reversal of 43404364640 is 4646340434.

It is a junction number, because it is equal to n+sod(n) for n = 43404364594 and 43404364603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43404364649) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 923497097 + ... + 923497143.

It is an arithmetic number, because the mean of its divisors is an integer number (165602556).

Almost surely, 243404364640 is an apocalyptic number.

43404364640 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 43404364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71540304192).

43404364640 is an abundant number, since it is smaller than the sum of its proper divisors (99676243744).

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

43404364640 is a wasteful number, since it uses less digits than its factorization.

43404364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 38.

The spelling of 43404364640 in words is "forty-three billion, four hundred four million, three hundred sixty-four thousand, six hundred forty".