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14239044400 = 2452710614793
BaseRepresentation
bin11010100001011011…
…01001001100110000
31100202100021101211211
431100231221030300
5213130143410100
610312532045504
71012566610660
oct152055511460
940670241754
1014239044400
116047629899
122914763894
13145bcb6a79
149911401a0
155851011ba
hex350b69330

14239044400 has 120 divisors (see below), whose sum is σ = 39141360864. Its totient is φ = 4876339200.

The previous prime is 14239044389. The next prime is 14239044431. The reversal of 14239044400 is 444093241.

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, 2968404 + ... + 2973196.

Almost surely, 214239044400 is an apocalyptic number.

14239044400 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 14239044400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19570680432).

14239044400 is an abundant number, since it is smaller than the sum of its proper divisors (24902316464).

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

14239044400 is a wasteful number, since it uses less digits than its factorization.

14239044400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5879 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The spelling of 14239044400 in words is "fourteen billion, two hundred thirty-nine million, forty-four thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1061 1400 2122 2800 4244 4793 5305 7427 8488 9586 10610 14854 16976 19172 21220 23965 26525 29708 33551 37135 38344 42440 47930 53050 59416 67102 74270 76688 84880 95860 106100 118832 119825 134204 148540 167755 185675 191720 212200 239650 268408 297080 335510 371350 383440 424400 479300 536816 594160 671020 742700 838775 958600 1342040 1485400 1677550 1917200 2684080 2970800 3355100 5085373 6710200 10170746 13420400 20341492 25426865 35597611 40682984 50853730 71195222 81365968 101707460 127134325 142390444 177988055 203414920 254268650 284780888 355976110 406829840 508537300 569561776 711952220 889940275 1017074600 1423904440 1779880550 2034149200 2847808880 3559761100 7119522200 14239044400