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14426004120 = 23351125143541
BaseRepresentation
bin11010110111101101…
…10101101010011000
31101020101001221100220
431123312311222120
5214021024112440
610343251200040
71020330004023
oct153366655230
941211057326
1014426004120
116133115460
1229672a6020
13148b956718
149abcca1ba
155967318d0
hex35bdb5a98

14426004120 has 128 divisors (see below), whose sum is σ = 47401562880. Its totient is φ = 3483200000.

The previous prime is 14426004097. The next prime is 14426004127. The reversal of 14426004120 is 2140062441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14426004127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 309550 + ... + 353090.

It is an arithmetic number, because the mean of its divisors is an integer number (370324710).

Almost surely, 214426004120 is an apocalyptic number.

14426004120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14426004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23700781440).

14426004120 is an abundant number, since it is smaller than the sum of its proper divisors (32975558760).

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

14426004120 is a wasteful number, since it uses less digits than its factorization.

14426004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43817 (or 43813 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 14426004120 its reverse (2140062441), we get a palindrome (16566066561).

The spelling of 14426004120 in words is "fourteen billion, four hundred twenty-six million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 251 264 330 440 502 660 753 1004 1255 1320 1506 2008 2510 2761 3012 3765 5020 5522 6024 7530 8283 10040 11044 13805 15060 16566 22088 27610 30120 33132 41415 43541 55220 66264 82830 87082 110440 130623 165660 174164 217705 261246 331320 348328 435410 478951 522492 653115 870820 957902 1044984 1306230 1436853 1741640 1915804 2394755 2612460 2873706 3831608 4789510 5224920 5747412 7184265 9579020 10928791 11494824 14368530 19158040 21857582 28737060 32786373 43715164 54643955 57474120 65572746 87430328 109287910 120216701 131145492 163931865 218575820 240433402 262290984 327863730 360650103 437151640 480866804 601083505 655727460 721300206 961733608 1202167010 1311454920 1442600412 1803250515 2404334020 2885200824 3606501030 4808668040 7213002060 14426004120