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14152671225 = 3252721121032
BaseRepresentation
bin11010010111001000…
…01001111111111001
31100112022202012010100
431023210021333321
5212441040434400
610300204510013
71010500502100
oct151344117771
940468665110
1014152671225
1160028a5400
1228ab84b309
131447134894
14983899037
1557c73e100
hex34b909ff9

14152671225 has 243 divisors, whose sum is σ = 32729746959. Its totient is φ = 5824526400.

The previous prime is 14152671133. The next prime is 14152671251. The reversal of 14152671225 is 52217625141.

The square root of 14152671225 is 118965.

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

14152671225 is a `hidden beast` number, since 1 + 4 + 1 + 526 + 7 + 122 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5094961641 + 9057709584 = 71379^2 + 95172^2 .

It is not a de Polignac number, because 14152671225 - 27 = 14152671097 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 14152671225.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 137404524 + ... + 137404626.

Almost surely, 214152671225 is an apocalyptic number.

14152671225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14152671225 is the 118965-th square number.

14152671225 is the 59483-rd centered octagonal number.

It is an amenable number.

14152671225 is an abundant number, since it is smaller than the sum of its proper divisors (18577075734).

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

14152671225 is a wasteful number, since it uses less digits than its factorization.

14152671225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

The product of its digits is 33600, while the sum is 36.

Multiplying 14152671225 by its sum of digits (36), we get a square (509496164100 = 7137902).

The spelling of 14152671225 in words is "fourteen billion, one hundred fifty-two million, six hundred seventy-one thousand, two hundred twenty-five".