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244144125 = 345324113
BaseRepresentation
bin11101000110101…
…01011111111101
3122000101210210000
432203111133331
51000000103000
640120504513
76023122311
oct1643253775
9560353700
10244144125
111158a4105
126991b139
133b7721a4
14245d3b41
1516679000
hexe8d57fd

244144125 has 40 divisors (see below), whose sum is σ = 455175864. Its totient is φ = 130204800.

The previous prime is 244144097. The next prime is 244144139. The reversal of 244144125 is 521441442.

244144125 is a `hidden beast` number, since 244 + 1 + 4 + 412 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3956121 + 240188004 = 1989^2 + 15498^2 .

It is not a de Polignac number, because 244144125 - 222 = 239949821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1932 + ... + 22181.

Almost surely, 2244144125 is an apocalyptic number.

244144125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

244144125 is a deficient number, since it is larger than the sum of its proper divisors (211031739).

244144125 is an equidigital number, since it uses as much as digits as its factorization.

244144125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24140 (or 24121 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 244144125 is about 15625.1119995986. Note that the first 3 decimals coincide. The cubic root of 244144125 is about 625.0029866524.

Adding to 244144125 its reverse (521441442), we get a palindrome (765585567).

The spelling of 244144125 in words is "two hundred forty-four million, one hundred forty-four thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 125 135 225 375 405 675 1125 2025 3375 10125 24113 72339 120565 217017 361695 602825 651051 1085085 1808475 1953153 3014125 3255255 5425425 9042375 9765765 16276275 27127125 48828825 81381375 244144125