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44022344332122 = 23313595471943107
BaseRepresentation
bin10100000001001110000000…
…01100100011001101011010
312202212111100212102101121000
422000213000030203031122
521232230230122111442
6233343330310525430
712162336505535232
oct1200470014431532
9182774325371530
1044022344332122
1113032853796122
124b2b9aa066876
131b7439b6655a0
14ac299b1cccc2
155151c766ed4c
hex2809c032335a

44022344332122 has 128 divisors (see below), whose sum is σ = 107334176947200. Its totient is φ = 13291404654528.

The previous prime is 44022344332121. The next prime is 44022344332147. The reversal of 44022344332122 is 22123344322044.

44022344332122 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 2 + 3 + 4 + 433 + 212 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (44022344332121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21684093 + ... + 23627199.

It is an arithmetic number, because the mean of its divisors is an integer number (838548257400).

Almost surely, 244022344332122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44022344332122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53667088473600).

44022344332122 is an abundant number, since it is smaller than the sum of its proper divisors (63311832615078).

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

44022344332122 is a wasteful number, since it uses less digits than its factorization.

44022344332122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1943737 (or 1943731 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 44022344332122 its reverse (22123344322044), we get a palindrome (66145688654166).

The spelling of 44022344332122 in words is "forty-four trillion, twenty-two billion, three hundred forty-four million, three hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 59 78 117 118 177 234 351 354 531 547 702 767 1062 1094 1534 1593 1641 2301 3186 3282 4602 4923 6903 7111 9846 13806 14222 14769 20709 21333 29538 32273 41418 42666 63999 64546 96819 127998 191997 193638 290457 383994 419549 580914 839098 871371 1258647 1742742 1943107 2517294 3775941 3886214 5829321 7551882 11327823 11658642 17487963 22655646 25260391 34975926 50520782 52463889 75781173 104927778 114643313 151562346 227343519 229286626 343929939 454687038 682030557 687859878 1031789817 1062879529 1364061114 1490363069 2063579634 2125759058 2980726138 3095369451 3188638587 4471089207 6190738902 6377277174 8942178414 9565915761 13413267621 13817433877 19131831522 26826535242 27634867754 28697747283 40239802863 41452301631 57395494566 62709892211 80479605726 82904603262 124356904893 125419784422 188129676633 248713809786 373070714679 376259353266 564389029899 746141429358 815228598743 1128778059798 1630457197486 1693167089697 2445685796229 3386334179394 4891371592458 7337057388687 14674114777374 22011172166061 44022344332122