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14040521200 = 24521911316349
BaseRepresentation
bin11010001001110000…
…10101100111110000
31100020111201101012201
431010320111213300
5212223333134300
610241121032544
71004636314066
oct150470254760
940214641181
1014040521200
115a55565432
12287a185754
131429b28a14
14972a24036
1557298966a
hex344e159f0

14040521200 has 120 divisors (see below), whose sum is σ = 35824158000. Its totient is φ = 5273210880.

The previous prime is 14040521197. The next prime is 14040521213. The reversal of 14040521200 is 212504041.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 850626 + ... + 866974.

It is an arithmetic number, because the mean of its divisors is an integer number (298534650).

Almost surely, 214040521200 is an apocalyptic number.

14040521200 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 14040521200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17912079000).

14040521200 is an abundant number, since it is smaller than the sum of its proper divisors (21783636800).

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

14040521200 is a wasteful number, since it uses less digits than its factorization.

14040521200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16499 (or 16488 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The spelling of 14040521200 in words is "fourteen billion, forty million, five hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 113 152 190 200 226 304 380 400 452 475 565 760 904 950 1130 1520 1808 1900 2147 2260 2825 3800 4294 4520 5650 7600 8588 9040 10735 11300 16349 17176 21470 22600 32698 34352 42940 45200 53675 65396 81745 85880 107350 130792 163490 171760 214700 261584 310631 326980 408725 429400 621262 653960 817450 858800 1242524 1307920 1553155 1634900 1847437 2485048 3106310 3269800 3694874 4970096 6212620 6539600 7389748 7765775 9237185 12425240 14779496 15531550 18474370 24850480 29558992 31063100 35101303 36948740 46185925 62126200 70202606 73897480 92371850 124252400 140405212 147794960 175506515 184743700 280810424 351013030 369487400 561620848 702026060 738974800 877532575 1404052120 1755065150 2808104240 3510130300 7020260600 14040521200