Search a number
-
+
21412424331193 = 721087909144221
BaseRepresentation
bin1001101111001011101111…
…11100100010111110111001
32210211000012200000201110011
410313211313330202332321
510301310121112044233
6113312422033221521
74336665556525600
oct467456774427671
983730180021404
1021412424331193
116905a5a350235
122499a557018a1
13bc424bc3266c
1454051c980a37
15271ebdb340cd
hex137977f22fb9

21412424331193 has 24 divisors (see below), whose sum is σ = 24934551350784. Its totient is φ = 18334190397600.

The previous prime is 21412424331101. The next prime is 21412424331241. The reversal of 21412424331193 is 39113342421412.

It is a de Polignac number, because none of the positive numbers 2k-21412424331193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21412424332193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 484191823 + ... + 484236043.

It is an arithmetic number, because the mean of its divisors is an integer number (1038939639616).

Almost surely, 221412424331193 is an apocalyptic number.

It is an amenable number.

21412424331193 is a deficient number, since it is larger than the sum of its proper divisors (3522127019591).

21412424331193 is a wasteful number, since it uses less digits than its factorization.

21412424331193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54413 (or 54406 counting only the distinct ones).

The product of its digits is 124416, while the sum is 40.

The spelling of 21412424331193 in words is "twenty-one trillion, four hundred twelve billion, four hundred twenty-four million, three hundred thirty-one thousand, one hundred ninety-three".

Divisors: 1 7 49 1087 7609 9091 44221 53263 63637 309547 445459 2166829 9881917 48068227 69173419 336477589 402013111 484213933 2355343123 2814091777 19698642439 436988251657 3058917761599 21412424331193