Search a number
-
+
443331424130322 = 2371323239147710081
BaseRepresentation
bin110010011001101010010010…
…0000011011001010100010010
32011010201001220012102122120010
41210303110210003121110102
5431102020224034132242
64210515351124055350
7162244431654621120
oct14463244403312422
92133631805378503
10443331424130322
1111929388a327982
1241880724b34556
131604ac878b5c60
147b694d939a910
15363c1038d689c
hex19335240d9512

443331424130322 has 128 divisors (see below), whose sum is σ = 1143488737198080. Its totient is φ = 111371036958720.

The previous prime is 443331424130137. The next prime is 443331424130323. The reversal of 443331424130322 is 223031424133344.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (443331424130323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70853679 + ... + 76856402.

It is an arithmetic number, because the mean of its divisors is an integer number (8933505759360).

Almost surely, 2443331424130322 is an apocalyptic number.

443331424130322 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

443331424130322 is an abundant number, since it is smaller than the sum of its proper divisors (700157313067758).

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

443331424130322 is a wasteful number, since it uses less digits than its factorization.

443331424130322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147710368.

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 443331424130322 its reverse (223031424133344), we get a palindrome (666362848263666).

The spelling of 443331424130322 in words is "four hundred forty-three trillion, three hundred thirty-one billion, four hundred twenty-four million, one hundred thirty thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 69 78 91 138 161 182 239 273 299 322 478 483 546 598 717 897 966 1434 1673 1794 2093 3107 3346 4186 5019 5497 6214 6279 9321 10038 10994 12558 16491 18642 21749 32982 38479 43498 65247 71461 76958 115437 130494 142922 214383 230874 428766 500227 1000454 1500681 3001362 147710081 295420162 443130243 886260486 1033970567 1920231053 2067941134 3101911701 3397331863 3840462106 5760693159 6203823402 6794663726 10191995589 11521386318 13441617371 20383991178 23781323041 26883234742 35302709359 40324852113 44165314219 47562646082 70605418718 71343969123 80649704226 88330628438 105908128077 132495942657 142687938246 211816256154 247118965513 264991885314 309157199533 458935221667 494237931026 618314399066 741356896539 811962315257 917870443334 927471598599 1376805665001 1482713793078 1623924630514 1854943197198 2435886945771 2753611330002 3212546551669 4871773891542 5683736206799 6425093103338 9637639655007 10555510098341 11367472413598 17051208620397 19275279310014 21111020196682 31666530295023 34102417240794 63333060590046 73888570688387 147777141376774 221665712065161 443331424130322