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12444130300 = 2252727165599
BaseRepresentation
bin10111001011011101…
…00101101111111100
31012010020211022120211
423211232211233330
5200441144132200
65414452522204
7620243235160
oct134556455774
935106738524
1012444130300
115306429308
1224b3620364
131234187914
148609ccca0
154cc74eaba
hex2e5ba5bfc

12444130300 has 72 divisors (see below), whose sum is σ = 30975795200. Its totient is φ = 4250750400.

The previous prime is 12444130261. The next prime is 12444130301. The reversal of 12444130300 is 303144421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444130301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156901 + ... + 222499.

Almost surely, 212444130300 is an apocalyptic number.

12444130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15487897600).

12444130300 is an abundant number, since it is smaller than the sum of its proper divisors (18531664900).

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

12444130300 is a wasteful number, since it uses less digits than its factorization.

12444130300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65891 (or 65884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 12444130300 its reverse (303144421), we get a palindrome (12747274721).

The spelling of 12444130300 in words is "twelve billion, four hundred forty-four million, one hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 271 350 542 700 1084 1355 1897 2710 3794 5420 6775 7588 9485 13550 18970 27100 37940 47425 65599 94850 131198 189700 262396 327995 459193 655990 918386 1311980 1639975 1836772 2295965 3279950 4591930 6559900 9183860 11479825 17777329 22959650 35554658 45919300 71109316 88886645 124441303 177773290 248882606 355546580 444433225 497765212 622206515 888866450 1244413030 1777732900 2488826060 3111032575 6222065150 12444130300