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12442430104 = 2313616773401
BaseRepresentation
bin10111001011010000…
…00110101010011000
31012010010121221100121
423211220012222120
5200440230230404
65414352243024
7620222624266
oct134550065230
935103557317
1012442430104
115305477995
1224b2b40474
131233a10aa0
148606a9436
154cc515e54
hex2e5a06a98

12442430104 has 128 divisors (see below), whose sum is σ = 26337689280. Its totient is φ = 5474304000.

The previous prime is 12442430087. The next prime is 12442430123. The reversal of 12442430104 is 40103424421.

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, 31028304 + ... + 31028704.

Almost surely, 212442430104 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 12442430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13168844640).

12442430104 is an abundant number, since it is smaller than the sum of its proper divisors (13895259176).

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

12442430104 is a wasteful number, since it uses less digits than its factorization.

12442430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 621 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 12442430104 its reverse (40103424421), we get a palindrome (52545854525).

The spelling of 12442430104 in words is "twelve billion, four hundred forty-two million, four hundred thirty thousand, one hundred four".

Divisors: 1 2 4 8 13 26 52 61 67 73 104 122 134 146 244 268 292 401 488 536 584 793 802 871 949 1586 1604 1742 1898 3172 3208 3484 3796 4087 4453 4891 5213 6344 6968 7592 8174 8906 9782 10426 16348 17812 19564 20852 24461 26867 29273 32696 35624 39128 41704 48922 53131 53734 57889 58546 63583 97844 106262 107468 115778 117092 127166 195688 212524 214936 231556 234184 254332 298351 317993 349271 380549 425048 463112 508664 596702 635986 698542 761098 1193404 1271972 1397084 1522196 1638887 1785653 1961291 2386808 2543944 2794168 3044392 3277774 3571306 3878563 3922582 6555548 7142612 7757126 7845164 13111096 14285224 15514252 15690328 21305531 23213489 25496783 31028504 42611062 46426978 50993566 85222124 92853956 101987132 119638751 170444248 185707912 203974264 239277502 478555004 957110008 1555303763 3110607526 6221215052 12442430104