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2324140142324 = 22721113131632993
BaseRepresentation
bin100001110100100001100…
…011000010111011110100
322020012000022201011112112
4201310201203002323310
5301034314334023244
64535410101110152
7326625234153200
oct41644143027364
98205008634475
102324140142324
1181673157a330
123165259b8358
1313b21c719360
14806bbaabb00
15406c9b1139e
hex21d218c2ef4

2324140142324 has 144 divisors (see below), whose sum is σ = 5600872702656. Its totient is φ = 829472716800.

The previous prime is 2324140142297. The next prime is 2324140142351. The reversal of 2324140142324 is 4232410414232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2324140142297) and next prime (2324140142351).

It is a super-2 number, since 2×23241401423242 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3355172 + ... + 3988164.

It is an arithmetic number, because the mean of its divisors is an integer number (38894949324).

Almost surely, 22324140142324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2324140142324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800436351328).

2324140142324 is an abundant number, since it is smaller than the sum of its proper divisors (3276732560332).

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

2324140142324 is a wasteful number, since it uses less digits than its factorization.

2324140142324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633166 (or 633157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 2324140142324 its reverse (4232410414232), we get a palindrome (6556550556556).

The spelling of 2324140142324 in words is "two trillion, three hundred twenty-four billion, one hundred forty million, one hundred forty-two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 131 143 154 182 196 262 286 308 364 524 539 572 637 917 1001 1078 1274 1441 1703 1834 2002 2156 2548 2882 3406 3668 4004 5764 6419 6812 7007 10087 11921 12838 14014 18733 20174 23842 25676 28028 37466 40348 47684 70609 74932 83447 131131 141218 166894 262262 282436 333788 524524 632993 917917 1265986 1835834 2531972 3671668 4430951 6962923 8228909 8861902 13925846 16457818 17723804 27851692 31016657 32915636 48740461 57602363 62033314 82922083 90517999 97480922 115204726 124066628 165844166 181035998 194961844 230409452 331688332 341183227 362071996 403216541 580454581 633625993 682366454 806433082 912142913 1077987079 1160909162 1267251986 1364732908 1612866164 1824285826 2155974158 2321818324 2534503972 3648571652 4063182067 4311948316 4435381951 6385000391 7545909553 8126364134 8870763902 11857857869 12770000782 15091819106 16252728268 17741527804 23715715738 25540001564 30183638212 44695002737 47431431476 52821366871 83005005083 89390005474 105642733742 166010010166 178780010948 211285467484 332020020332 581035035581 1162070071162 2324140142324