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12444442300 = 22522910142487
BaseRepresentation
bin10111001011011111…
…10001111010111100
31012010021102011120101
423211233301322330
5200441234123200
65414503330444
7620246004613
oct134557617274
935107364511
1012444442300
115306621764
1224b3750a24
131234266934
14860a7087a
154cc7b226a
hex2e5bf1ebc

12444442300 has 72 divisors (see below), whose sum is σ = 28212881760. Its totient is φ = 4758432000.

The previous prime is 12444442291. The next prime is 12444442301. The reversal of 12444442300 is 324444421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12444442301) 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, 271657 + ... + 314143.

It is an arithmetic number, because the mean of its divisors is an integer number (391845580).

Almost surely, 212444442300 is an apocalyptic number.

12444442300 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 12444442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14106440880).

12444442300 is an abundant number, since it is smaller than the sum of its proper divisors (15768439460).

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

12444442300 is a wasteful number, since it uses less digits than its factorization.

12444442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42631 (or 42624 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 12444442300 its reverse (324444421), we get a palindrome (12768886721).

The spelling of 12444442300 in words is "twelve billion, four hundred forty-four million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 101 116 145 202 290 404 505 580 725 1010 1450 2020 2525 2900 2929 5050 5858 10100 11716 14645 29290 42487 58580 73225 84974 146450 169948 212435 292900 424870 849740 1062175 1232123 2124350 2464246 4248700 4291187 4928492 6160615 8582374 12321230 17164748 21455935 24642460 30803075 42911870 61606150 85823740 107279675 123212300 124444423 214559350 248888846 429118700 497777692 622222115 1244444230 2488888460 3111110575 6222221150 12444442300