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40238767872 = 283419109937
BaseRepresentation
bin100101011110011010…
…101101111100000000
310211212022100012110000
4211132122231330000
51124402111032442
630252504240000
72623103612022
oct453632557400
9124768305400
1040238767872
111607980a966
12796ba70000
133a43691624
141d3a1a2012
1510a794cd4c
hex95e6adf00

40238767872 has 360 divisors, whose sum is σ = 127594451600. Its totient is φ = 12576964608.

The previous prime is 40238767867. The next prime is 40238767889. The reversal of 40238767872 is 27876783204.

40238767872 is a `hidden beast` number, since 402 + 38 + 76 + 78 + 72 = 666.

40238767872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42943788 + ... + 42944724.

Almost surely, 240238767872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40238767872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63797225800).

40238767872 is an abundant number, since it is smaller than the sum of its proper divisors (87355683728).

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

40238767872 is a wasteful number, since it uses less digits than its factorization.

40238767872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 40238767872 in words is "forty billion, two hundred thirty-eight million, seven hundred sixty-seven thousand, eight hundred seventy-two".