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14005250500 = 225343215149
BaseRepresentation
bin11010000101100011…
…10010100111000100
31100011001100102220111
431002301302213010
5212140321004000
610233421042404
71004030444053
oct150261624704
940131312814
1014005250500
115a37664a9a
12286a3b6404
131422729997
1496c08239a
1556e81dcba
hex342c729c4

14005250500 has 72 divisors (see below), whose sum is σ = 31317413400. Its totient is φ = 5471457600.

The previous prime is 14005250449. The next prime is 14005250507. The reversal of 14005250500 is 505250041.

It can be written as a sum of positive squares in 4 ways, for example, as 164198596 + 13841051904 = 12814^2 + 117648^2 .

It is a super-2 number, since 2×140052505002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14005250507) 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, 916926 + ... + 932074.

It is an arithmetic number, because the mean of its divisors is an integer number (434964075).

Almost surely, 214005250500 is an apocalyptic number.

14005250500 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 14005250500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15658706700).

14005250500 is an abundant number, since it is smaller than the sum of its proper divisors (17312162900).

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

14005250500 is a wasteful number, since it uses less digits than its factorization.

14005250500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15254 (or 15199 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 22.

The spelling of 14005250500 in words is "fourteen billion, five million, two hundred fifty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 125 172 215 250 430 500 860 1075 1849 2150 3698 4300 5375 7396 9245 10750 15149 18490 21500 30298 36980 46225 60596 75745 92450 151490 184900 231125 302980 378725 462250 651407 757450 924500 1302814 1514900 1893625 2605628 3257035 3787250 6514070 7574500 13028140 16285175 28010501 32570350 56021002 65140700 81425875 112042004 140052505 162851750 280105010 325703500 560210020 700262525 1400525050 2801050100 3501312625 7002625250 14005250500