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4144106325 = 352472275179
BaseRepresentation
bin1111011100000010…
…0000101101010101
3101200210212102011110
43313000200231111
531441342400300
61523114325233
7204460215432
oct36700405525
911623772143
104144106325
111837270467
12977a29819
13510738b28
142b4546b89
15193c3d550
hexf7020b55

4144106325 has 48 divisors (see below), whose sum is σ = 7029550080. Its totient is φ = 2153219520.

The previous prime is 4144106299. The next prime is 4144106333. The reversal of 4144106325 is 5236014414.

It is not a de Polignac number, because 4144106325 - 26 = 4144106261 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4144106292 and 4144106301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 797586 + ... + 802764.

It is an arithmetic number, because the mean of its divisors is an integer number (146448960).

Almost surely, 24144106325 is an apocalyptic number.

It is an amenable number.

4144106325 is a deficient number, since it is larger than the sum of its proper divisors (2885443755).

4144106325 is a wasteful number, since it uses less digits than its factorization.

4144106325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5461 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4144106325 is about 64374.7335916818. The cubic root of 4144106325 is about 1606.2394808216.

The spelling of 4144106325 in words is "four billion, one hundred forty-four million, one hundred six thousand, three hundred twenty-five".

Divisors: 1 3 5 15 25 47 75 141 227 235 681 705 1135 1175 3405 3525 5179 5675 10669 15537 17025 25895 32007 53345 77685 129475 160035 243413 266725 388425 730239 800175 1175633 1217065 3526899 3651195 5878165 6085325 17634495 18255975 29390825 55254751 88172475 165764253 276273755 828821265 1381368775 4144106325