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24104331420 = 22351322698837
BaseRepresentation
bin10110011100101110…
…101110100010011100
32022012212112220111120
4112130232232202130
5343331202101140
615023503250540
71512220302501
oct263456564234
968185486446
1024104331420
11a24a2a2a64
1248085a9a50
132371ac8500
1412494374a8
1596124e1d0
hex59cbae89c

24104331420 has 144 divisors (see below), whose sum is σ = 73363177440. Its totient is φ = 5910647808.

The previous prime is 24104331403. The next prime is 24104331431. The reversal of 24104331420 is 2413340142.

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, 2723242 + ... + 2732078.

It is an arithmetic number, because the mean of its divisors is an integer number (509466510).

Almost surely, 224104331420 is an apocalyptic number.

24104331420 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 24104331420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36681588720).

24104331420 is an abundant number, since it is smaller than the sum of its proper divisors (49258846020).

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

24104331420 is a wasteful number, since it uses less digits than its factorization.

24104331420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9144 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 24104331420 its reverse (2413340142), we get a palindrome (26517671562).

The spelling of 24104331420 in words is "twenty-four billion, one hundred four million, three hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 269 338 390 507 538 676 780 807 845 1014 1076 1345 1614 1690 2028 2535 2690 3228 3380 3497 4035 5070 5380 6994 8070 8837 10140 10491 13988 16140 17485 17674 20982 26511 34970 35348 41964 44185 45461 52455 53022 69940 88370 90922 104910 106044 114881 132555 136383 176740 181844 209820 227305 229762 265110 272766 344643 454610 459524 530220 545532 574405 681915 689286 909220 1148810 1363830 1378572 1493453 1723215 2297620 2377153 2727660 2986906 3446430 4480359 4754306 5973812 6892860 7131459 7467265 8960718 9508612 11885765 14262918 14934530 17921436 22401795 23771530 28525836 29869060 30902989 35657295 44803590 47543060 61805978 71314590 89607180 92708967 123611956 142629180 154514945 185417934 309029890 370835868 401738857 463544835 618059780 803477714 927089670 1205216571 1606955428 1854179340 2008694285 2410433142 4017388570 4820866284 6026082855 8034777140 12052165710 24104331420