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14022334201212 = 223447929991201
BaseRepresentation
bin1100110000001101010000…
…1111111011110101111100
31211122112002120122221010000
43030003110033323311330
53314220220023414322
645453434342314300
72645036341052601
oct314032417736574
954575076587100
1014022334201212
114516925105617
1216a5757428990
137a93ba0ba01c
143669827666a8
15194b46a443ac
hexcc0d43fbd7c

14022334201212 has 120 divisors (see below), whose sum is σ = 37477426916160. Its totient is φ = 4569733324800.

The previous prime is 14022334201201. The next prime is 14022334201247. The reversal of 14022334201212 is 21210243322041.

14022334201212 is a `hidden beast` number, since 1 + 4 + 0 + 2 + 23 + 3 + 420 + 1 + 212 = 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 39 ways as a sum of consecutive naturals, for example, 13651212 + ... + 14642412.

It is an arithmetic number, because the mean of its divisors is an integer number (312311890968).

Almost surely, 214022334201212 is an apocalyptic number.

14022334201212 is a gapful number since it is divisible by the number (12) 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 14022334201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18738713458080).

14022334201212 is an abundant number, since it is smaller than the sum of its proper divisors (23455092714948).

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

14022334201212 is a wasteful number, since it uses less digits than its factorization.

14022334201212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992193 (or 992182 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 14022334201212 its reverse (21210243322041), we get a palindrome (35232577523253).

The spelling of 14022334201212 in words is "fourteen trillion, twenty-two billion, three hundred thirty-four million, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 929 1269 1692 1858 2538 2787 3716 3807 5076 5574 7614 8361 11148 15228 16722 25083 33444 43663 50166 75249 87326 100332 130989 150498 174652 261978 300996 392967 523956 785934 991201 1178901 1571868 1982402 2357802 2973603 3536703 3964804 4715604 5947206 7073406 8920809 11894412 14146812 17841618 26762427 35683236 46586447 53524854 80287281 93172894 107049708 139759341 160574562 186345788 279518682 321149124 419278023 559037364 838556046 920825729 1257834069 1677112092 1841651458 2515668138 2762477187 3683302916 3773502207 5031336276 5524954374 7547004414 8287431561 11049908748 15094008828 16574863122 24862294683 33149726244 43278809263 49724589366 74586884049 86557618526 99449178732 129836427789 149173768098 173115237052 259672855578 298347536196 389509283367 519345711156 779018566734 1168527850101 1558037133468 2337055700202 3505583550303 4674111400404 7011167100606 14022334201212