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4144664425 = 52112731372
BaseRepresentation
bin1111011100001010…
…1000111101101001
3101200211220202201211
43313002220331221
531442013230200
61523134313121
7204465031516
oct36702507551
911624822654
104144664425
111837611800
129780587a1
135108a2b75
142b465030d
15193cedaba
hexf70a8f69

4144664425 has 54 divisors (see below), whose sum is σ = 5768563514. Its totient is φ = 2951308800.

The previous prime is 4144664399. The next prime is 4144664429. The reversal of 4144664425 is 5244664414.

It can be written as a sum of positive squares in 9 ways, for example, as 667085584 + 3477578841 = 25828^2 + 58971^2 .

It is not a de Polignac number, because 4144664425 - 25 = 4144664393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4144664429) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 30252957 + ... + 30253093.

Almost surely, 24144664425 is an apocalyptic number.

It is an amenable number.

4144664425 is a deficient number, since it is larger than the sum of its proper divisors (1623899089).

4144664425 is a wasteful number, since it uses less digits than its factorization.

4144664425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 226 counting only the distinct ones).

The product of its digits is 368640, while the sum is 40.

The square root of 4144664425 is about 64379.0682209676. The cubic root of 4144664425 is about 1606.3115833808.

The spelling of 4144664425 in words is "four billion, one hundred forty-four million, six hundred sixty-four thousand, four hundred twenty-five".

Divisors: 1 5 11 25 55 73 121 137 275 365 605 685 803 1507 1825 3025 3425 4015 7535 8833 10001 16577 18769 20075 37675 44165 50005 82885 93845 110011 206459 220825 250025 414425 469225 550055 1032295 1210121 1370137 2271049 2750275 5161475 6050605 6850685 11355245 15071507 30253025 34253425 56776225 75357535 165786577 376787675 828932885 4144664425