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14138840827225 = 527520332
BaseRepresentation
bin1100110110111111010010…
…0101011100010101011001
31212001122211010102202101201
43031233310211130111121
53323122321222432400
650023143243514201
72656332441043312
oct315576445342531
955048733382351
1014138840827225
1145612810590a4
121704251228961
137b739661799a
1436c475b57609
15197bb4e9b06a
hexcdbf495c559

14138840827225 has 9 divisors (see below), whose sum is σ = 17532185938813. Its totient is φ = 11311057621120.

The previous prime is 14138840827187. The next prime is 14138840827231. The reversal of 14138840827225 is 52272804883141.

The square root of 14138840827225 is 3760165.

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 6421090116169 + 7717750711056 = 2533987^2 + 2778084^2 .

It is not a de Polignac number, because 14138840827225 - 217 = 14138840696153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18424809 + ... + 19176841.

Almost surely, 214138840827225 is an apocalyptic number.

14138840827225 is the 3760165-th square number.

14138840827225 is the 1880083-rd centered octagonal number.

It is an amenable number.

14138840827225 is a deficient number, since it is larger than the sum of its proper divisors (3393345111588).

14138840827225 is an frugal number, since it uses more digits than its factorization.

14138840827225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504076 (or 752038 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 55.

The spelling of 14138840827225 in words is "fourteen trillion, one hundred thirty-eight billion, eight hundred forty million, eight hundred twenty-seven thousand, two hundred twenty-five".

Divisors: 1 5 25 752033 3760165 18800825 565553633089 2827768165445 14138840827225