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1300314444 = 22311137511009
BaseRepresentation
bin100110110000001…
…0011100101001100
310100121202211002020
41031200103211030
510130340030234
6333010130140
744136330132
oct11540234514
93317684066
101300314444
11607aa2540
12303580950
13179518140
14c49a3752
1579253549
hex4d81394c

1300314444 has 96 divisors (see below), whose sum is σ = 3572782080. Its totient is φ = 362880000.

The previous prime is 1300314443. The next prime is 1300314481. The reversal of 1300314444 is 4444130031.

It is not an unprimeable number, because it can be changed into a prime (1300314443) 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 31 ways as a sum of consecutive naturals, for example, 1288212 + ... + 1289220.

It is an arithmetic number, because the mean of its divisors is an integer number (37216480).

Almost surely, 21300314444 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 1300314444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786391040).

1300314444 is an abundant number, since it is smaller than the sum of its proper divisors (2272467636).

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

1300314444 is a wasteful number, since it uses less digits than its factorization.

1300314444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1791 (or 1789 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 1300314444 is about 36059.8730447016. The cubic root of 1300314444 is about 1091.4808713375.

Adding to 1300314444 its reverse (4444130031), we get a palindrome (5744444475).

The spelling of 1300314444 in words is "one billion, three hundred million, three hundred fourteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 751 858 1009 1502 1716 2018 2253 3004 3027 4036 4506 6054 8261 9012 9763 11099 12108 13117 16522 19526 22198 24783 26234 29289 33044 33297 39052 39351 44396 49566 52468 58578 66594 78702 99132 107393 117156 133188 144287 157404 214786 288574 322179 429572 432861 577148 644358 757759 865722 1288716 1515518 1731444 2273277 3031036 4546554 8335349 9093108 9850867 16670698 19701734 25006047 29552601 33341396 39403468 50012094 59105202 100024188 108359537 118210404 216719074 325078611 433438148 650157222 1300314444