Search a number
-
+
251414200404 = 223317136935839
BaseRepresentation
bin1110101000100101110…
…1000100000001010100
3220000221111011200101000
43222021131010001110
513104344013403104
6311255330503300
724110164305003
oct3521135040124
9800844150330
10251414200404
1197695841a14
1240886134b30
131a929070073
14c25057cc3a
156817066639
hex3a89744054

251414200404 has 48 divisors (see below), whose sum is σ = 690156633600. Its totient is φ = 78875042688.

The previous prime is 251414200363. The next prime is 251414200447. The reversal of 251414200404 is 404002414152.

251414200404 is a `hidden beast` number, since 2 + 5 + 1 + 414 + 200 + 40 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68466084 + ... + 68469755.

It is an arithmetic number, because the mean of its divisors is an integer number (14378263200).

Almost surely, 2251414200404 is an apocalyptic number.

It is an amenable number.

251414200404 is an abundant number, since it is smaller than the sum of its proper divisors (438742433196).

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

251414200404 is a wasteful number, since it uses less digits than its factorization.

251414200404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136935869 (or 136935861 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 251414200404 its reverse (404002414152), we get a palindrome (655416614556).

The spelling of 251414200404 in words is "two hundred fifty-one billion, four hundred fourteen million, two hundred thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 306 459 612 918 1836 136935839 273871678 410807517 547743356 821615034 1232422551 1643230068 2327909263 2464845102 3697267653 4655818526 4929690204 6983727789 7394535306 9311637052 13967455578 14789070612 20951183367 27934911156 41902366734 62853550101 83804733468 125707100202 251414200404