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14250212500 = 22552814057
BaseRepresentation
bin11010100010110000…
…01111110010010100
31100210010021210121011
431101120033302110
5213141023300000
610314011302004
71013063544016
oct152130176224
940703253534
1014250212500
116052967627
12291844a904
1314613c7204
1499280a1b6
155860aa2ba
hex35160fc94

14250212500 has 72 divisors (see below), whose sum is σ = 31288981752. Its totient is φ = 5678400000.

The previous prime is 14250212461. The next prime is 14250212503. The reversal of 14250212500 is 521205241.

It can be written as a sum of positive squares in 12 ways, for example, as 13995363204 + 254849296 = 118302^2 + 15964^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14250212503) 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, 3510472 + ... + 3514528.

It is an arithmetic number, because the mean of its divisors is an integer number (434569191).

Almost surely, 214250212500 is an apocalyptic number.

14250212500 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 14250212500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15644490876).

14250212500 is an abundant number, since it is smaller than the sum of its proper divisors (17038769252).

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

14250212500 is an equidigital number, since it uses as much as digits as its factorization.

14250212500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4367 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 14250212500 its reverse (521205241), we get a palindrome (14771417741).

The spelling of 14250212500 in words is "fourteen billion, two hundred fifty million, two hundred twelve thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 281 500 562 625 1124 1250 1405 2500 2810 3125 4057 5620 6250 7025 8114 12500 14050 16228 20285 28100 35125 40570 70250 81140 101425 140500 175625 202850 351250 405700 507125 702500 878125 1014250 1140017 1756250 2028500 2280034 2535625 3512500 4560068 5071250 5700085 10142500 11400170 12678125 22800340 25356250 28500425 50712500 57000850 114001700 142502125 285004250 570008500 712510625 1425021250 2850042500 3562553125 7125106250 14250212500