Search a number
-
+
40522522522504 = 23111920972397139
BaseRepresentation
bin10010011011010111000101…
…00011110111001110001000
312022110220201021020102011011
421031223202203313032020
520302410111231210004
6222103442335213304
711351440612152121
oct1115534243671610
9168426637212134
1040522522522504
1111a035615a9030
124665652977234
13197c3468a6c19
14a0142ca19048
154a413cc95004
hex24dae28f7388

40522522522504 has 32 divisors (see below), whose sum is σ = 82887443949600. Its totient is φ = 18419224849920.

The previous prime is 40522522522481. The next prime is 40522522522507.

40522522522504 is nontrivially palindromic in base 10.

40522522522504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (40522522522507) 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, 15705967 + ... + 18103105.

It is an arithmetic number, because the mean of its divisors is an integer number (2590232623425).

Almost surely, 240522522522504 is an apocalyptic number.

40522522522504 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40522522522504 is an abundant number, since it is smaller than the sum of its proper divisors (42364921427096).

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

40522522522504 is a wasteful number, since it uses less digits than its factorization.

40522522522504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589253 (or 2589249 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 40.

It can be divided in two parts, 4052252 and 2522504, that added together give a palindrome (6574756).

The spelling of 40522522522504 in words is "forty trillion, five hundred twenty-two billion, five hundred twenty-two million, five hundred twenty-two thousand, five hundred four".

Divisors: 1 2 4 8 11 22 44 88 192097 384194 768388 1536776 2113067 2397139 4226134 4794278 8452268 9588556 16904536 19177112 26368529 52737058 105474116 210948232 460483210483 920966420966 1841932841932 3683865683864 5065315315313 10130630630626 20261261261252 40522522522504