Search a number
-
+
22144312044405 = 325539284826853
BaseRepresentation
bin1010000100011110111111…
…10110100110101101110101
32220101222100011212210021100
411002033133312212231311
510400303022340410110
6115032542335040313
74443605460455205
oct502173766465565
986358304783240
1022144312044405
117068393936821
122597871370099
13c48279885855
14567b0ccba405
152860573e7bc0
hex1423dfda6b75

22144312044405 has 24 divisors (see below), whose sum is σ = 39107690709048. Its totient is φ = 11587463911296.

The previous prime is 22144312044391. The next prime is 22144312044431. The reversal of 22144312044405 is 50444021344122.

22144312044405 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 4 + 3 + 1 + 204 + 440 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2467431489636 + 19676880554769 = 1570806^2 + 4435863^2 .

It is not a de Polignac number, because 22144312044405 - 211 = 22144312042357 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 22144312044405.

It is a congruent number.

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, 4642411042 + ... + 4642415811.

It is an arithmetic number, because the mean of its divisors is an integer number (1629487112877).

Almost surely, 222144312044405 is an apocalyptic number.

It is an amenable number.

22144312044405 is a deficient number, since it is larger than the sum of its proper divisors (16963378664643).

22144312044405 is a wasteful number, since it uses less digits than its factorization.

22144312044405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284826917 (or 9284826914 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 22144312044405 its reverse (50444021344122), we get a palindrome (72588333388527).

The spelling of 22144312044405 in words is "twenty-two trillion, one hundred forty-four billion, three hundred twelve million, forty-four thousand, four hundred five".

Divisors: 1 3 5 9 15 45 53 159 265 477 795 2385 9284826853 27854480559 46424134265 83563441677 139272402795 417817208385 492095823209 1476287469627 2460479116045 4428862408881 7381437348135 22144312044405