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44114701225 = 52721723532
BaseRepresentation
bin101001000101011100…
…001110101110101001
311012212102121000110011
4221011130032232221
51210321330414400
632133243051521
73121126526200
oct510534165651
9135772530404
1044114701225
1117788664a71
128671b10ba1
13421069410a
1421c6c5c237
151232d678ba
hexa4570eba9

44114701225 has 81 divisors (see below), whose sum is σ = 67788553647. Its totient is φ = 28390010880.

The previous prime is 44114701207. The next prime is 44114701283. The reversal of 44114701225 is 52210741144.

It is a happy number.

The square root of 44114701225 is 210035.

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

44114701225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 19449370521 + 24665330704 = 139461^2 + 157052^2 .

It is not a de Polignac number, because 44114701225 - 215 = 44114668457 is a prime.

It is a super-2 number, since 2×441147012252 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 124970649 + ... + 124971001.

Almost surely, 244114701225 is an apocalyptic number.

44114701225 is the 210035-th square number.

44114701225 is the 105018-th centered octagonal number.

It is an amenable number.

44114701225 is a deficient number, since it is larger than the sum of its proper divisors (23673852422).

44114701225 is an equidigital number, since it uses as much as digits as its factorization.

44114701225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 31.

The spelling of 44114701225 in words is "forty-four billion, one hundred fourteen million, seven hundred one thousand, two hundred twenty-five".

Divisors: 1 5 7 17 25 35 49 85 119 175 245 289 353 425 595 833 1225 1445 1765 2023 2471 2975 4165 6001 7225 8825 10115 12355 14161 17297 20825 30005 42007 50575 61775 70805 86485 102017 124609 150025 210035 294049 354025 432425 510085 623045 714119 872263 1050175 1470245 2118353 2550425 3115225 3570595 4361315 4998833 6105841 7351225 10591765 14828471 17852975 21806575 24994165 30529205 36012001 52958825 74142355 103799297 124970825 152646025 180060005 252084007 370711775 518996485 900300025 1260420035 1764588049 2594982425 6302100175 8822940245 44114701225