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24141341340 = 223252114791327
BaseRepresentation
bin10110011110111011…
…111010001010011100
32022022110012012120100
4112132323322022130
5343420140410330
615031304421100
71513150005234
oct263673721234
968273165510
1024141341340
11a269181076
124818a77790
13237968607c
14125030ccc4
15964610060
hex59eefa29c

24141341340 has 144 divisors (see below), whose sum is σ = 73784954880. Its totient is φ = 6388986240.

The previous prime is 24141341339. The next prime is 24141341353. The reversal of 24141341340 is 4314314142.

24141341340 is a `hidden beast` number, since 241 + 4 + 1 + 3 + 413 + 4 + 0 = 666.

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, 18191757 + ... + 18193083.

It is an arithmetic number, because the mean of its divisors is an integer number (512395520).

Almost surely, 224141341340 is an apocalyptic number.

24141341340 is a gapful number since it is divisible by the number (20) 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 24141341340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36892477440).

24141341340 is an abundant number, since it is smaller than the sum of its proper divisors (49643613540).

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

24141341340 is a wasteful number, since it uses less digits than its factorization.

24141341340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 24141341340 its reverse (4314314142), we get a palindrome (28455655482).

The spelling of 24141341340 in words is "twenty-four billion, one hundred forty-one million, three hundred forty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 479 633 844 958 1055 1266 1327 1437 1899 1916 2110 2395 2532 2654 2874 3165 3798 3981 4220 4311 4790 5308 5748 6330 6635 7185 7596 7962 8622 9495 9580 11943 12660 13270 14370 15924 17244 18990 19905 21555 23886 26540 28740 37980 39810 43110 47772 59715 79620 86220 101069 119430 202138 238860 279997 303207 404276 505345 559994 606414 635633 839991 909621 1010690 1119988 1212828 1271266 1399985 1516035 1679982 1819242 1906899 2021380 2519973 2542532 2799970 3032070 3178165 3359964 3638484 3813798 4199955 4548105 5039946 5599940 5720697 6064140 6356330 7627596 8399910 9096210 9534495 10079892 11441394 12599865 12712660 16799820 18192420 19068990 22882788 25199730 28603485 38137980 50399460 57206970 114413940 134118563 268237126 402355689 536474252 670592815 804711378 1207067067 1341185630 1609422756 2011778445 2414134134 2682371260 4023556890 4828268268 6035335335 8047113780 12070670670 24141341340