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10304322444 = 22331358712503
BaseRepresentation
bin10011001100010111…
…10111101110001100
3222121010101211001000
421212023313232030
5132100401304234
64422253220300
7513231203253
oct114613675614
928533354030
1010304322444
114408580a69
121bb6a91690
13c82a6c820
146da73d79a
15404972899
hex2662f7b8c

10304322444 has 96 divisors (see below), whose sum is σ = 28821219840. Its totient is φ = 3164906304.

The previous prime is 10304322403. The next prime is 10304322461. The reversal of 10304322444 is 44422340301.

It is a happy number.

It is a super-2 number, since 2×103043224442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817897 + ... + 830399.

It is an arithmetic number, because the mean of its divisors is an integer number (300221040).

Almost surely, 210304322444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10304322444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410609920).

10304322444 is an abundant number, since it is smaller than the sum of its proper divisors (18516897396).

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

10304322444 is a wasteful number, since it uses less digits than its factorization.

10304322444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13116 (or 13108 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10304322444 its reverse (44422340301), we get a palindrome (54726662745).

The spelling of 10304322444 in words is "ten billion, three hundred four million, three hundred twenty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 587 702 1174 1404 1761 2348 3522 5283 7044 7631 10566 12503 15262 15849 21132 22893 25006 30524 31698 37509 45786 50012 63396 68679 75018 91572 112527 137358 150036 162539 206037 225054 274716 325078 337581 412074 450108 487617 650156 675162 824148 975234 1350324 1462851 1950468 2925702 4388553 5851404 7339261 8777106 14678522 17554212 22017783 29357044 44035566 66053349 88071132 95410393 132106698 190820786 198160047 264213396 286231179 381641572 396320094 572462358 792640188 858693537 1144924716 1717387074 2576080611 3434774148 5152161222 10304322444