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14244344441442 = 23331107521152639
BaseRepresentation
bin1100111101001000010100…
…0101110010101001100010
31212102202010212002200001000
43033102011011302221202
53331334404134111232
650143432252252430
73000056064005313
oct317220505625142
955382125080030
1014244344441442
1145a1aa10a6aa5
121720796171116
137c430b40518b
14373603ad260a
1519a7dc46b27c
hexcf485172a62

14244344441442 has 128 divisors (see below), whose sum is σ = 33044093337600. Its totient is φ = 4543239542400.

The previous prime is 14244344441419. The next prime is 14244344441477. The reversal of 14244344441442 is 24414444344241.

14244344441442 is a `hidden beast` number, since 1 + 4 + 24 + 43 + 4 + 444 + 144 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93244159 + ... + 93396797.

It is an arithmetic number, because the mean of its divisors is an integer number (258156979200).

Almost surely, 214244344441442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14244344441442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16522046668800).

14244344441442 is an abundant number, since it is smaller than the sum of its proper divisors (18799748896158).

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

14244344441442 is a wasteful number, since it uses less digits than its factorization.

14244344441442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153309 (or 153303 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 45.

Adding to 14244344441442 its reverse (24414444344241), we get a palindrome (38658788785683).

The spelling of 14244344441442 in words is "fourteen trillion, two hundred forty-four billion, three hundred forty-four million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 107 186 214 279 321 521 558 642 837 963 1042 1563 1674 1926 2889 3126 3317 4689 5778 6634 9378 9951 14067 16151 19902 28134 29853 32302 48453 55747 59706 89559 96906 111494 145359 152639 167241 179118 290718 305278 334482 436077 457917 501723 872154 915834 1003446 1373751 1505169 1728157 2747502 3010338 3456314 4121253 4731809 5184471 8242506 9463618 10368942 14195427 15553413 16332373 28390854 31106826 32664746 42586281 46660239 48997119 79524919 85172562 93320478 97994238 127758843 146991357 159049838 238574757 255517686 293982714 440974071 477149514 506303563 715724271 881948142 1012607126 1431448542 1518910689 2147172813 2465272489 3037821378 4294345626 4556732067 4930544978 7395817467 8509166333 9113464134 13670196201 14791634934 17018332666 22187452401 25527498999 27340392402 44374904802 51054997998 66562357203 76582496997 133124714406 153164993994 229747490991 263784156323 459494981982 527568312646 791352468969 1582704937938 2374057406907 4748114813814 7122172220721 14244344441442