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43378295040 = 2833519312131
BaseRepresentation
bin101000011001100011…
…000100000100000000
311010222002220201002000
4220121203010010000
51202314320420130
631532215224000
73063645265323
oct503143040400
9133862821060
1043378295040
111743aa0a113
1284a7378000
134123c48c02
1421571287ba
1511dd3a3260
hexa198c4100

43378295040 has 576 divisors, whose sum is σ = 167339827200. Its totient is φ = 10600243200.

The previous prime is 43378294957. The next prime is 43378295057. The reversal of 43378295040 is 4059287334.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 20354775 + ... + 20356905.

Almost surely, 243378295040 is an apocalyptic number.

43378295040 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 43378295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83669913600).

43378295040 is an abundant number, since it is smaller than the sum of its proper divisors (123961532160).

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

43378295040 is a wasteful number, since it uses less digits than its factorization.

43378295040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2211 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 43378295040 in words is "forty-three billion, three hundred seventy-eight million, two hundred ninety-five thousand, forty".