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40623399936 = 210347313761
BaseRepresentation
bin100101110101010101…
…111110010000000000
310212212010002112110000
4211311111332100000
51131144042244221
630355004240000
72635454126220
oct456525762000
9125763075400
1040623399936
11162569396a9
127a58840000
133aa5281c72
141d752c6080
1510cb5c7e26
hex97557e400

40623399936 has 880 divisors, whose sum is σ = 149388946432. Its totient is φ = 10749542400.

The previous prime is 40623399931. The next prime is 40623399961. The reversal of 40623399936 is 63999332604.

It is a happy number.

40623399936 is a `hidden beast` number, since 4 + 0 + 623 + 3 + 9 + 9 + 9 + 3 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (40623399931) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 665957346 + ... + 665957406.

Almost surely, 240623399936 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 40623399936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74694473216).

40623399936 is an abundant number, since it is smaller than the sum of its proper divisors (108765546496).

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

40623399936 is a wasteful number, since it uses less digits than its factorization.

40623399936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 54.

The spelling of 40623399936 in words is "forty billion, six hundred twenty-three million, three hundred ninety-nine thousand, nine hundred thirty-six".