Search a number
-
+
406635630613140 = 22356777260510219
BaseRepresentation
bin101110001110101010011110…
…0010100001101001010010100
31222022202222122020221102001210
41130131110330110031022110
5411244304232414110030
64000501455124021420
7151436312000335245
oct13435247424151224
91868688566842053
10406635630613140
1110862622556a665
1239734861b31870
13145b87632b5696
14725b3ab85cccc
1532027d502cbb0
hex171d53c50d294

406635630613140 has 24 divisors (see below), whose sum is σ = 1138579765716960. Its totient is φ = 108436168163488.

The previous prime is 406635630613117. The next prime is 406635630613141. The reversal of 406635630613140 is 41316036536604.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 406635630613140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406635630613141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3388630255050 + ... + 3388630255169.

It is an arithmetic number, because the mean of its divisors is an integer number (47440823571540).

Almost surely, 2406635630613140 is an apocalyptic number.

It is an amenable number.

406635630613140 is an abundant number, since it is smaller than the sum of its proper divisors (731944135103820).

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

406635630613140 is a wasteful number, since it uses less digits than its factorization.

406635630613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6777260510231 (or 6777260510229 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 48.

The spelling of 406635630613140 in words is "four hundred six trillion, six hundred thirty-five billion, six hundred thirty million, six hundred thirteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 6777260510219 13554521020438 20331781530657 27109042040876 33886302551095 40663563061314 67772605102190 81327126122628 101658907653285 135545210204380 203317815306570 406635630613140