Search a number
-
+
4224104120000 = 2654731446611
BaseRepresentation
bin111101011110000000001…
…110011011111011000000
3112221211011002010112220202
4331132000032123323000
51023201431123320000
612552305431024332
7614116144412342
oct75360016337300
915854132115822
104224104120000
1113894837209a6
125827abb0b0a8
1324843cb6aabb
1410863a801292
1574d2a63add5
hex3d78039bec0

4224104120000 has 140 divisors (see below), whose sum is σ = 10617897728856. Its totient is φ = 1666494720000.

The previous prime is 4224104119999. The next prime is 4224104120053. The reversal of 4224104120000 is 214014224.

4224104120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2196695 + ... + 3643305.

Almost surely, 24224104120000 is an apocalyptic number.

4224104120000 is a gapful number since it is divisible by the number (40) 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 4224104120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5308948864428).

4224104120000 is an abundant number, since it is smaller than the sum of its proper divisors (6393793608856).

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

4224104120000 is an equidigital number, since it uses as much as digits as its factorization.

4224104120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446716 (or 1446691 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 4224104120000 its reverse (214014224), we get a palindrome (4224318134224).

The spelling of 4224104120000 in words is "four trillion, two hundred twenty-four billion, one hundred four million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 125 146 160 200 250 292 320 365 400 500 584 625 730 800 1000 1168 1250 1460 1600 1825 2000 2336 2500 2920 3650 4000 4672 5000 5840 7300 8000 9125 10000 11680 14600 18250 20000 23360 29200 36500 40000 45625 58400 73000 91250 116800 146000 182500 292000 365000 584000 730000 1446611 1460000 2893222 2920000 5786444 7233055 11572888 14466110 23145776 28932220 36165275 46291552 57864440 72330550 92583104 105602603 115728880 144661100 180826375 211205206 231457760 289322200 361652750 422410412 462915520 528013015 578644400 723305500 844820824 904131875 1056026030 1157288800 1446611000 1689641648 1808263750 2112052060 2314577600 2640065075 2893222000 3379283296 3616527500 4224104120 5280130150 5786444000 6758566592 7233055000 8448208240 10560260300 11572888000 13200325375 14466110000 16896416480 21120520600 26400650750 28932220000 33792832960 42241041200 52801301500 57864440000 66001626875 84482082400 105602603000 132003253750 168964164800 211205206000 264006507500 422410412000 528013015000 844820824000 1056026030000 2112052060000 4224104120000