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4440412314 = 2321329654349
BaseRepresentation
bin1000010001010101…
…10101000010011010
3102110110102022120100
410020222311002122
533043221143224
62012341240230
7215015611332
oct41052650232
912413368510
104440412314
111979551548
12a3b103076
13559c42410
14301a380c2
151aec6cac9
hex108ab509a

4440412314 has 48 divisors (see below), whose sum is σ = 10718253000. Its totient is φ = 1319165568.

The previous prime is 4440412313. The next prime is 4440412351. The reversal of 4440412314 is 4132140444.

It can be written as a sum of positive squares in 4 ways, for example, as 2373346089 + 2067066225 = 48717^2 + 45465^2 .

It is not an unprimeable number, because it can be changed into a prime (4440412313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 320389 + ... + 333960.

Almost surely, 24440412314 is an apocalyptic number.

4440412314 is an abundant number, since it is smaller than the sum of its proper divisors (6277840686).

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

4440412314 is a wasteful number, since it uses less digits than its factorization.

4440412314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654399 (or 654396 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4440412314 is about 66636.4188263445. The cubic root of 4440412314 is about 1643.6440280123.

Adding to 4440412314 its reverse (4132140444), we get a palindrome (8572552758).

The spelling of 4440412314 in words is "four billion, four hundred forty million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 13 18 26 29 39 58 78 87 117 174 234 261 377 522 754 1131 2262 3393 6786 654349 1308698 1963047 3926094 5889141 8506537 11778282 17013074 18976121 25519611 37952242 51039222 56928363 76558833 113856726 153117666 170785089 246689573 341570178 493379146 740068719 1480137438 2220206157 4440412314