Search a number
-
+
14455106631 = 3272340924391
BaseRepresentation
bin11010111011001011…
…10110110001000111
31101022101211111111200
431131211312301013
5214101001403011
610350211033543
71021132244010
oct153545666107
941271744450
1014455106631
116148592619
122974b9b8b3
1314949a6044
149b1b04007
1559907e856
hex35d976c47

14455106631 has 48 divisors (see below), whose sum is σ = 24961797120. Its totient is φ = 7881287040.

The previous prime is 14455106629. The next prime is 14455106663. The reversal of 14455106631 is 13660155441.

14455106631 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 5 + 10 + 6 + 631 = 666.

It is not a de Polignac number, because 14455106631 - 21 = 14455106629 is a prime.

It is a super-3 number, since 3×144551066313 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14455106131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580446 + ... + 604836.

It is an arithmetic number, because the mean of its divisors is an integer number (520037440).

Almost surely, 214455106631 is an apocalyptic number.

14455106631 is a deficient number, since it is larger than the sum of its proper divisors (10506690489).

14455106631 is a wasteful number, since it uses less digits than its factorization.

14455106631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24836 (or 24833 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14455106631 in words is "fourteen billion, four hundred fifty-five million, one hundred six thousand, six hundred thirty-one".

Divisors: 1 3 7 9 21 23 63 69 161 207 409 483 1227 1449 2863 3681 8589 9407 24391 25767 28221 65849 73173 84663 170737 197547 219519 512211 560993 592641 1536633 1682979 3926951 5048937 9975919 11780853 29927757 35342559 69831433 89783271 209494299 229446137 628482897 688338411 1606122959 2065015233 4818368877 14455106631