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44314223233025 = 52109121313406513
BaseRepresentation
bin10100001001101101101011…
…00010001100100000000001
312210220101202102001211201002
422010312311202030200001
521302021012121424100
6234125401220421345
712222411522341054
oct1204666542144001
9183811672054632
1044314223233025
1113135613822479
124b78487847855
131b95a75b30ac5
14ad2b69942a9b
1551caabdb22d5
hex284db588c801

44314223233025 has 24 divisors (see below), whose sum is σ = 55499482266360. Its totient is φ = 35097175895040.

The previous prime is 44314223232997. The next prime is 44314223233031. The reversal of 44314223233025 is 52033232241344.

It can be written as a sum of positive squares in 12 ways, for example, as 24707898255616 + 19606324977409 = 4970704^2 + 4427903^2 .

It is not a de Polignac number, because 44314223233025 - 222 = 44314219038721 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 44314223233025.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3397832 + ... + 10008681.

It is an arithmetic number, because the mean of its divisors is an integer number (2312478427765).

Almost surely, 244314223233025 is an apocalyptic number.

It is an amenable number.

44314223233025 is a deficient number, since it is larger than the sum of its proper divisors (11185259033335).

44314223233025 is a wasteful number, since it uses less digits than its factorization.

44314223233025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13407845 (or 13407840 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 38.

Adding to 44314223233025 its reverse (52033232241344), we get a palindrome (96347455474369).

The spelling of 44314223233025 in words is "forty-four trillion, three hundred fourteen billion, two hundred twenty-three million, two hundred thirty-three thousand, twenty-five".

Divisors: 1 5 25 109 545 1213 2725 6065 30325 132217 661085 3305425 13406513 67032565 335162825 1461309917 7306549585 16262100269 36532747925 81310501345 406552506725 1772568929321 8862844646605 44314223233025