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4224104310420 = 22325197334735591
BaseRepresentation
bin111101011110000000001…
…111001010011010010100
3112221211011002111020010100
4331132000033022122110
51023201431200413140
612552305435054100
7614116146134451
oct75360017123224
915854132436110
104224104310420
111389483840a75
125827abba1330
1324843cc06687
1410863a850828
1574d2a677530
hex3d7803ca694

4224104310420 has 144 divisors (see below), whose sum is σ = 12882367225728. Its totient is φ = 1120343589120.

The previous prime is 4224104310401. The next prime is 4224104310449. The reversal of 4224104310420 is 240134014224.

4224104310420 is a `hidden beast` number, since 4 + 224 + 1 + 0 + 4 + 3 + 10 + 420 = 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, 118666825 + ... + 118702415.

It is an arithmetic number, because the mean of its divisors is an integer number (89460883512).

Almost surely, 24224104310420 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 4224104310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441183612864).

4224104310420 is an abundant number, since it is smaller than the sum of its proper divisors (8658262915308).

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

4224104310420 is a wasteful number, since it uses less digits than its factorization.

4224104310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39150 (or 39145 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 4224104310420 its reverse (240134014224), we get a palindrome (4464238324644).

The spelling of 4224104310420 in words is "four trillion, two hundred twenty-four billion, one hundred four million, three hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3347 3546 3940 5910 6694 7092 8865 10041 11820 13388 16735 17730 20082 30123 33470 35460 35591 40164 50205 60246 66940 71182 100410 106773 120492 142364 150615 177955 200820 213546 301230 320319 355910 427092 533865 602460 640638 659359 711820 1067730 1281276 1318718 1601595 1978077 2135460 2637436 3203190 3296795 3956154 5934231 6406380 6593590 7011427 7912308 9890385 11868462 13187180 14022854 19780770 21034281 23736924 28045708 29671155 35057135 39561540 42068562 59342310 63102843 70114270 84137124 105171405 118684620 119123077 126205686 140228540 210342810 238246154 252411372 315514215 357369231 420685620 476492308 595615385 631028430 714738462 1072107693 1191230770 1262056860 1429476924 1786846155 2144215386 2382461540 3573692310 4288430772 5360538465 7147384620 10721076930 21442153860 23467246169 46934492338 70401738507 93868984676 117336230845 140803477014 211205215521 234672461690 281606954028 352008692535 422410431042 469344923380 704017385070 844820862084 1056026077605 1408034770140 2112052155210 4224104310420