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40133663999 = 11132332293779
BaseRepresentation
bin100101011000001001…
…110001110011111111
310211120222120101000222
4211120021301303333
51124143204221444
630234231411555
72620356341522
oct453011616377
9124528511028
1040133663999
1116025452860
127940823bbb
133a279819a0
141d2a242bb9
15109d5daeee
hex958271cff

40133663999 has 32 divisors (see below), whose sum is σ = 49228300800. Its totient is φ = 32195813760.

The previous prime is 40133663993. The next prime is 40133664041. The reversal of 40133663999 is 99936633104.

It is a de Polignac number, because none of the positive numbers 2k-40133663999 is a prime.

It is a super-2 number, since 2×401336639992 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 40133663999.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40133663993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10618292 + ... + 10622070.

It is an arithmetic number, because the mean of its divisors is an integer number (1538384400).

Almost surely, 240133663999 is an apocalyptic number.

40133663999 is a deficient number, since it is larger than the sum of its proper divisors (9094636801).

40133663999 is a wasteful number, since it uses less digits than its factorization.

40133663999 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7055.

The product of its (nonzero) digits is 2834352, while the sum is 53.

The spelling of 40133663999 in words is "forty billion, one hundred thirty-three million, six hundred sixty-three thousand, nine hundred ninety-nine".

Divisors: 1 11 13 23 143 253 299 3229 3289 3779 35519 41569 41977 49127 74267 86917 461747 540397 816937 956087 965471 1129921 10620181 12202391 12429131 134226301 158631083 280654993 1744941913 3087204923 3648514909 40133663999