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6424440444246 = 2311219479909397
BaseRepresentation
bin101110101111100111001…
…1111011001010101010110
3211202011121022010010111210
41131133032133121111112
51320224223223203441
621355202554442250
71232102423522526
oct135371637312526
924664538103453
106424440444246
112057654167300
12879124133386
13377a8c2c9866
14182d31cbd686
15b21ab374616
hex5d7ce7d9556

6424440444246 has 96 divisors (see below), whose sum is σ = 15182783239680. Its totient is φ = 1805095575360.

The previous prime is 6424440444239. The next prime is 6424440444269.

It is a happy number.

6424440444246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 6424440444195 and 6424440444204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4306381 + ... + 5603016.

It is an arithmetic number, because the mean of its divisors is an integer number (158153992080).

Almost surely, 26424440444246 is an apocalyptic number.

6424440444246 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6424440444246 is an abundant number, since it is smaller than the sum of its proper divisors (8758342795434).

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

6424440444246 is a wasteful number, since it uses less digits than its factorization.

6424440444246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9909490 (or 9909479 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 48.

It can be divided in two parts, 6424440 and 444246, that added together give a palindrome (6868686).

The spelling of 6424440444246 in words is "six trillion, four hundred twenty-four billion, four hundred forty million, four hundred forty-four thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 19 22 33 38 47 57 66 94 114 121 141 209 242 282 363 418 517 627 726 893 1034 1254 1551 1786 2299 2679 3102 4598 5358 5687 6897 9823 11374 13794 17061 19646 29469 34122 58938 108053 216106 324159 648318 9909397 19818794 29728191 59456382 109003367 188278543 218006734 327010101 376557086 465741659 564835629 654020202 931483318 1129671258 1199037037 1397224977 2071063973 2398074074 2794449954 3597111111 4142127946 5123158249 6213191919 7194222222 8849091521 10246316498 12426383838 15369474747 17698183042 22781703703 26547274563 30738949494 45563407406 53094549126 56354740739 68345111109 97340006731 112709481478 136690222218 169064222217 194680013462 292020020193 338128444434 584040040386 1070740074041 2141480148082 3212220222123 6424440444246