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10422422224344 = 23321322279499801
BaseRepresentation
bin1001011110101010100011…
…0001100011110111011000
31100220101002112011122012200
42113222220301203313120
52331230110042134334
634055554503210200
72123665224120624
oct227525061436730
940811075148180
1010422422224344
1133591406a7439
121203b28146960
135a7aa3c3bb20
1428063b180184
151311a006d799
hex97aa8c63dd8

10422422224344 has 96 divisors (see below), whose sum is σ = 30400156768800. Its totient is φ = 3206748787200.

The previous prime is 10422422224327. The next prime is 10422422224381. The reversal of 10422422224344 is 44342222422401.

10422422224344 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 2 + 422 + 224 + 3 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10422422224299 and 10422422224308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20603244 + ... + 21103044.

It is an arithmetic number, because the mean of its divisors is an integer number (316668299675).

Almost surely, 210422422224344 is an apocalyptic number.

It is an amenable number.

10422422224344 is an abundant number, since it is smaller than the sum of its proper divisors (19977734544456).

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

10422422224344 is a wasteful number, since it uses less digits than its factorization.

10422422224344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522105 (or 522098 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 36.

Adding to 10422422224344 its reverse (44342222422401), we get a palindrome (54764644646745).

The spelling of 10422422224344 in words is "ten trillion, four hundred twenty-two billion, four hundred twenty-two million, two hundred twenty-four thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 22279 44558 66837 89116 133674 178232 200511 267348 289627 401022 499801 534696 579254 802044 868881 999602 1158508 1499403 1604088 1737762 1999204 2317016 2606643 2998806 3475524 3998408 4498209 5213286 5997612 6497413 6951048 8996418 10426572 11995224 12994826 17992836 19492239 20853144 25989652 35985672 38984478 51979304 58476717 77968956 116953434 155937912 233906868 467813736 11135066479 22270132958 33405199437 44540265916 66810398874 89080531832 100215598311 133620797748 144755864227 200431196622 267241595496 289511728454 400862393244 434267592681 579023456908 801724786488 868535185362 1158046913816 1302802778043 1737070370724 2605605556086 3474140741448 5211211112172 10422422224344