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14033200014204 = 22371374909248407
BaseRepresentation
bin1100110000110101101111…
…1001101110001101111100
31211200120010211121102101020
43030031123321232031330
53314404443200423304
645502432454344140
72645602530665640
oct314153371561574
954616124542336
1014033200014204
1145204a0621758
1216a788a35b050
137aa42c291177
143672d38a6c20
151950809295d9
hexcc35be6e37c

14033200014204 has 96 divisors (see below), whose sum is σ = 37702849551360. Its totient is φ = 3979392579072.

The previous prime is 14033200014193. The next prime is 14033200014269. The reversal of 14033200014204 is 40241000233041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56368569 + ... + 56616975.

It is an arithmetic number, because the mean of its divisors is an integer number (392738016160).

Almost surely, 214033200014204 is an apocalyptic number.

14033200014204 is a gapful number since it is divisible by the number (14) 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 14033200014204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18851424775680).

14033200014204 is an abundant number, since it is smaller than the sum of its proper divisors (23669649537156).

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

14033200014204 is a wasteful number, since it uses less digits than its factorization.

14033200014204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253467 (or 253465 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 14033200014204 its reverse (40241000233041), we get a palindrome (54274200247245).

The spelling of 14033200014204 in words is "fourteen trillion, thirty-three billion, two hundred million, fourteen thousand, two hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 274 411 548 822 959 1644 1918 2877 3836 4909 5754 9818 11508 14727 19636 29454 34363 58908 68726 103089 137452 206178 248407 412356 496814 672533 745221 993628 1345066 1490442 1738849 2017599 2690132 2980884 3477698 4035198 4707731 5216547 6955396 8070396 9415462 10433094 14123193 18830924 20866188 28246386 34031759 56492772 68063518 102095277 136127036 204190554 238222313 408381108 476444626 714666939 952889252 1219429963 1429333878 2438859926 2858667756 3658289889 4877719852 7316579778 8536009741 14633159556 17072019482 25608029223 34144038964 51216058446 102432116892 167061904931 334123809862 501185714793 668247619724 1002371429586 1169433334517 2004742859172 2338866669034 3508300003551 4677733338068 7016600007102 14033200014204