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4442114313 = 3271373191389
BaseRepresentation
bin1000010001100010…
…10100100100001001
3102110120121210021100
410020301110210021
533044140124223
62012441532013
7215036230410
oct41061244411
912416553240
104442114313
11197a50425a
12a3b7a4009
1355a3ba010
14301d5c477
151aeea7043
hex108c54909

4442114313 has 96 divisors (see below), whose sum is σ = 8067870720. Its totient is φ = 2292986880.

The previous prime is 4442114273. The next prime is 4442114317. The reversal of 4442114313 is 3134112444.

4442114313 is a `hidden beast` number, since 444 + 211 + 4 + 3 + 1 + 3 = 666.

It is not a de Polignac number, because 4442114313 - 221 = 4440017161 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4442114317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11419123 + ... + 11419511.

It is an arithmetic number, because the mean of its divisors is an integer number (84040320).

Almost surely, 24442114313 is an apocalyptic number.

It is an amenable number.

4442114313 is a deficient number, since it is larger than the sum of its proper divisors (3625756407).

4442114313 is a wasteful number, since it uses less digits than its factorization.

4442114313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 676 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 4442114313 is about 66649.1883896571. The cubic root of 4442114313 is about 1643.8540027435.

Adding to 4442114313 its reverse (3134112444), we get a palindrome (7576226757).

The spelling of 4442114313 in words is "four billion, four hundred forty-two million, one hundred fourteen thousand, three hundred thirteen".

Divisors: 1 3 7 9 13 21 39 63 73 91 117 191 219 273 389 511 573 657 819 949 1167 1337 1533 1719 2483 2723 2847 3501 4011 4599 5057 6643 7449 8169 8541 12033 13943 15171 17381 19929 22347 24507 28397 35399 41829 45513 52143 59787 74299 85191 97601 106197 125487 156429 181259 198779 222897 255573 292803 318591 369161 520093 543777 596337 668691 878409 965887 1107483 1268813 1560279 1631331 1789011 2584127 2897661 3322449 3806439 4680837 5423827 6761209 7752381 8692983 11419317 16271481 20283627 23257143 37966789 48814443 60850881 70509751 113900367 211529253 341701101 493568257 634587759 1480704771 4442114313