Search a number
-
+
24324408024 = 23371131319781
BaseRepresentation
bin10110101001110110…
…010000001011011000
32022210012122221211220
4112221312100023120
5344304022024044
615101404252040
71520532025320
oct265166201330
968705587756
1024324408024
11a352548854
12486a241020
1323a8591a57
14126a764280
15975722019
hex5a9d902d8

24324408024 has 128 divisors (see below), whose sum is σ = 70655777280. Its totient is φ = 6835046400.

The previous prime is 24324407971. The next prime is 24324408029. The reversal of 24324408024 is 42080442342.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24324408029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2482014 + ... + 2491794.

It is an arithmetic number, because the mean of its divisors is an integer number (551998260).

Almost surely, 224324408024 is an apocalyptic number.

24324408024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 24324408024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35327888640).

24324408024 is an abundant number, since it is smaller than the sum of its proper divisors (46331369256).

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

24324408024 is a wasteful number, since it uses less digits than its factorization.

24324408024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10037 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

The spelling of 24324408024 in words is "twenty-four billion, three hundred twenty-four million, four hundred eight thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 131 168 226 262 339 393 452 524 678 786 791 904 917 1048 1356 1572 1582 1834 2373 2712 2751 3144 3164 3668 4746 5502 6328 7336 9492 9781 11004 14803 18984 19562 22008 29343 29606 39124 44409 58686 59212 68467 78248 88818 103621 117372 118424 136934 177636 205401 207242 234744 273868 310863 355272 410802 414484 547736 621726 821604 828968 1105253 1243452 1281311 1643208 2210506 2486904 2562622 3315759 3843933 4421012 5125244 6631518 7687866 7736771 8842024 8969177 10250488 13263036 15375732 15473542 17938354 23210313 26526072 26907531 30751464 30947084 35876708 46420626 53815062 61894168 71753416 92841252 107630124 144788143 185682504 215260248 289576286 434364429 579152572 868728858 1013517001 1158305144 1737457716 2027034002 3040551003 3474915432 4054068004 6081102006 8108136008 12162204012 24324408024