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12444120342 = 2332928012837
BaseRepresentation
bin10111001011011101…
…00011010100010110
31012010020210210221000
423211232203110112
5200441143322332
65414452404130
7620243164143
oct134556432426
935106723830
1012444120342
115306421885
1224b3616646
131234183224
148609c93ca
154cc74bb7c
hex2e5ba3516

12444120342 has 64 divisors (see below), whose sum is σ = 28627473600. Its totient is φ = 4002163200.

The previous prime is 12444120331. The next prime is 12444120379. The reversal of 12444120342 is 24302144421.

12444120342 is a `hidden beast` number, since 1 + 244 + 412 + 0 + 3 + 4 + 2 = 666.

It is a super-2 number, since 2×124441203422 (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4384948 + ... + 4387784.

It is an arithmetic number, because the mean of its divisors is an integer number (447304275).

Almost surely, 212444120342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12444120342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14313736800).

12444120342 is an abundant number, since it is smaller than the sum of its proper divisors (16183353258).

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

12444120342 is a wasteful number, since it uses less digits than its factorization.

12444120342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 12444120342 its reverse (24302144421), we get a palindrome (36746264763).

The spelling of 12444120342 in words is "twelve billion, four hundred forty-four million, one hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1566 2801 2837 5602 5674 8403 8511 16806 17022 25209 25533 50418 51066 75627 76599 81229 82273 151254 153198 162458 164546 243687 246819 487374 493638 731061 740457 1462122 1480914 2193183 2221371 4386366 4442742 7946437 15892874 23839311 47678622 71517933 143035866 214553799 230446673 429107598 460893346 691340019 1382680038 2074020057 4148040114 6222060171 12444120342