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4412318361 = 3112294110223
BaseRepresentation
bin1000001101111111…
…01010001010011001
3102101111112222220120
410012333222022121
533014023141421
62005455143453
7214225041633
oct40677521231
912344488816
104412318361
111964703100
12a31814b89
13554186b89
142dc003a53
151ac56d8c6
hex106fea299

4412318361 has 48 divisors (see below), whose sum is σ = 6853351680. Its totient is φ = 2518700800.

The previous prime is 4412318357. The next prime is 4412318369. The reversal of 4412318361 is 1638132144.

It is not a de Polignac number, because 4412318361 - 22 = 4412318357 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4412318369) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 426496 + ... + 436718.

It is an arithmetic number, because the mean of its divisors is an integer number (142778160).

Almost surely, 24412318361 is an apocalyptic number.

4412318361 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4412318361 is a deficient number, since it is larger than the sum of its proper divisors (2441033319).

4412318361 is a wasteful number, since it uses less digits than its factorization.

4412318361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10318 (or 10307 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 4412318361 is about 66425.2840490728. The cubic root of 4412318361 is about 1640.1703125971.

The spelling of 4412318361 in words is "four billion, four hundred twelve million, three hundred eighteen thousand, three hundred sixty-one".

Divisors: 1 3 11 29 33 41 87 121 123 319 363 451 957 1189 1353 3509 3567 4961 10223 10527 13079 14883 30669 39237 112453 143869 296467 337359 419143 431607 889401 1236983 1257429 3261137 3710949 4610573 9783411 12155147 13831719 35872507 36465441 50716303 107617521 133706617 152148909 401119851 1470772787 4412318361