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4321139200225 = 5283250092
BaseRepresentation
bin111110111000010111111…
…101111001000011100001
3120022002121121202100211221
4332320113331321003201
51031244143113401400
613105034241335041
7624122600113021
oct76702775710341
916262547670757
104321139200225
111416648476981
12599570937481
13254635329433
1410d203b8ba81
1577609410c1a
hex3ee17f790e1

4321139200225 has 27 divisors (see below), whose sum is σ = 5424630155833. Its totient is φ = 3414580000640.

The previous prime is 4321139200171. The next prime is 4321139200237. The reversal of 4321139200225 is 5220029311234.

The square root of 4321139200225 is 2078735.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 123672492241 + 4197466707984 = 351671^2 + 2048772^2 .

It is a de Polignac number, because none of the positive numbers 2k-4321139200225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 862672521 + ... + 862677529.

Almost surely, 24321139200225 is an apocalyptic number.

4321139200225 is the 2078735-th square number.

4321139200225 is the 1039368-th centered octagonal number.

It is an amenable number.

4321139200225 is a deficient number, since it is larger than the sum of its proper divisors (1103490955608).

4321139200225 is an frugal number, since it uses more digits than its factorization.

4321139200225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The spelling of 4321139200225 in words is "four trillion, three hundred twenty-one billion, one hundred thirty-nine million, two hundred thousand, two hundred twenty-five".

Divisors: 1 5 25 83 415 2075 5009 6889 25045 34445 125225 172225 415747 2078735 10393675 25090081 34507001 125450405 172535005 627252025 862675025 2082476723 10412383615 52061918075 172845568009 864227840045 4321139200225