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14210142900 = 22352232059441
BaseRepresentation
bin11010011101111110…
…11001001010110100
31100200022220001102220
431032333121022310
5213100244033100
610310020402340
71012066136022
oct151677311264
940608801386
1014210142900
116032289758
122906b463b0
131456007aa5
1498b379712
155827e2aa0
hex34efd92b4

14210142900 has 72 divisors (see below), whose sum is σ = 42902295744. Its totient is φ = 3624614400.

The previous prime is 14210142899. The next prime is 14210142911. The reversal of 14210142900 is 924101241.

It is a super-2 number, since 2×142101429002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 1022821 + ... + 1036620.

Almost surely, 214210142900 is an apocalyptic number.

14210142900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14210142900 is an abundant number, since it is smaller than the sum of its proper divisors (28692152844).

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

14210142900 is a wasteful number, since it uses less digits than its factorization.

14210142900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059481 (or 2059474 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 14210142900 in words is "fourteen billion, two hundred ten million, one hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 2059441 4118882 6178323 8237764 10297205 12356646 20594410 24713292 30891615 41188820 47367143 51486025 61783230 94734286 102972050 123566460 142101429 154458075 189468572 205944100 236835715 284202858 308916150 473671430 568405716 617832300 710507145 947342860 1184178575 1421014290 2368357150 2842028580 3552535725 4736714300 7105071450 14210142900