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14212620400 = 2452113230141
BaseRepresentation
bin11010011110010001…
…10110000001110000
31100200111112220221011
431033020312001300
5213101412323100
610310145440304
71012126165036
oct151710660160
940614486834
1014212620400
116033721080
122907940094
131456694674
1498b822556
15582b31bba
hex34f236070

14212620400 has 60 divisors (see below), whose sum is σ = 37249997544. Its totient is φ = 5168224000.

The previous prime is 14212620379. The next prime is 14212620403. The reversal of 14212620400 is 402621241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14212620403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1610671 + ... + 1619470.

Almost surely, 214212620400 is an apocalyptic number.

14212620400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14212620400 is an abundant number, since it is smaller than the sum of its proper divisors (23037377144).

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

14212620400 is a wasteful number, since it uses less digits than its factorization.

14212620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3230170 (or 3230159 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 14212620400 in words is "fourteen billion, two hundred twelve million, six hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 400 440 550 880 1100 2200 4400 3230141 6460282 12920564 16150705 25841128 32301410 35531551 51682256 64602820 71063102 80753525 129205640 142126204 161507050 177657755 258411280 284252408 323014100 355315510 568504816 646028200 710631020 888288775 1292056400 1421262040 1776577550 2842524080 3553155100 7106310200 14212620400