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14049120200 = 23521014491549
BaseRepresentation
bin11010001010110010…
…01000111111001000
31100021002220020211012
431011121020333020
5212233033321300
610242025223052
71005102360053
oct150531107710
940232806735
1014049120200
115a5a3a8a45
122881031a88
13142b84999b
14973c21a9a
155735d7435
hex345648fc8

14049120200 has 96 divisors (see below), whose sum is σ = 33082425000. Its totient is φ = 5548032000.

The previous prime is 14049120193. The next prime is 14049120203. The reversal of 14049120200 is 202194041.

It can be written as a sum of positive squares in 12 ways, for example, as 3438884164 + 10610236036 = 58642^2 + 103006^2 .

It is not an unprimeable number, because it can be changed into a prime (14049120203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9069026 + ... + 9070574.

Almost surely, 214049120200 is an apocalyptic number.

14049120200 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 14049120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16541212500).

14049120200 is an abundant number, since it is smaller than the sum of its proper divisors (19033304800).

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

14049120200 is a wasteful number, since it uses less digits than its factorization.

14049120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 14049120200 in words is "fourteen billion, forty-nine million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 200 202 404 449 505 808 898 1010 1549 1796 2020 2245 2525 3098 3592 4040 4490 5050 6196 7745 8980 10100 11225 12392 15490 17960 20200 22450 30980 38725 44900 45349 61960 77450 89800 90698 154900 156449 181396 226745 309800 312898 362792 453490 625796 695501 782245 906980 1133725 1251592 1391002 1564490 1813960 2267450 2782004 3128980 3477505 3911225 4534900 5564008 6257960 6955010 7822450 9069800 13910020 15644900 17387525 27820040 31289800 34775050 69550100 70245601 139100200 140491202 280982404 351228005 561964808 702456010 1404912020 1756140025 2809824040 3512280050 7024560100 14049120200