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40385238372 = 22324216414157
BaseRepresentation
bin100101100111001001…
…011101010101100100
310212020111221200012100
4211213021131111210
51130202110111442
630315215452100
72626532601513
oct454711352544
9125214850170
1040385238372
1116144461366
1279b0b27030
133a67b25b6b
141d5180c67a
1510b573184c
hex96725d564

40385238372 has 72 divisors (see below), whose sum is σ = 102511681272. Its totient is φ = 13405593600.

The previous prime is 40385238349. The next prime is 40385238401. The reversal of 40385238372 is 27383258304.

40385238372 is a `hidden beast` number, since 4 + 0 + 385 + 238 + 37 + 2 = 666.

40385238372 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2397669156 + 37987569216 = 48966^2 + 194904^2 .

It is a super-2 number, since 2×403852383722 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9712918 + ... + 9717074.

It is an arithmetic number, because the mean of its divisors is an integer number (1423773351).

Almost surely, 240385238372 is an apocalyptic number.

It is an amenable number.

40385238372 is an abundant number, since it is smaller than the sum of its proper divisors (62126442900).

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

40385238372 is a wasteful number, since it uses less digits than its factorization.

40385238372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5224 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 40385238372 in words is "forty billion, three hundred eighty-five million, two hundred thirty-eight thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 421 641 842 1263 1282 1684 1923 2526 2564 3789 3846 4157 5052 5769 7578 7692 8314 11538 12471 15156 16628 23076 24942 37413 49884 74826 149652 269861 539722 809583 1079444 1619166 1750097 2428749 2664637 3238332 3500194 4857498 5250291 5329274 7000388 7993911 9714996 10500582 10658548 15750873 15987822 21001164 23981733 31501746 31975644 47963466 63003492 95926932 1121812177 2243624354 3365436531 4487248708 6730873062 10096309593 13461746124 20192619186 40385238372