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14240152300 = 22521119838209
BaseRepresentation
bin11010100001100011…
…10111101011101100
31100202102100200121011
431100301313223230
5213130434333200
610313011515004
71012612204003
oct152061675354
940672320534
1014240152300
116048216210
122914bb8a64
13145c2b412a
1499134bc3a
1558526e5ba
hex350c77aec

14240152300 has 144 divisors (see below), whose sum is σ = 35916451200. Its totient is φ = 4846003200.

The previous prime is 14240152249. The next prime is 14240152309. The reversal of 14240152300 is 325104241.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (14240152309) by changing a digit.

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, 1730596 + ... + 1738804.

It is an arithmetic number, because the mean of its divisors is an integer number (249419800).

Almost surely, 214240152300 is an apocalyptic number.

14240152300 is a gapful number since it is divisible by the number (10) 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 14240152300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958225600).

14240152300 is an abundant number, since it is smaller than the sum of its proper divisors (21676298900).

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

14240152300 is a wasteful number, since it uses less digits than its factorization.

14240152300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 14240152300 its reverse (325104241), we get a palindrome (14565256541).

The spelling of 14240152300 in words is "fourteen billion, two hundred forty million, one hundred fifty-two thousand, three hundred".

Divisors: 1 2 4 5 10 11 19 20 22 25 38 44 50 55 76 83 95 100 110 166 190 209 220 275 332 380 415 418 475 550 830 836 913 950 1045 1100 1577 1660 1826 1900 2075 2090 3154 3652 4150 4180 4565 5225 6308 7885 8209 8300 9130 10450 15770 16418 17347 18260 20900 22825 31540 32836 34694 39425 41045 45650 69388 78850 82090 86735 90299 91300 155971 157700 164180 173470 180598 205225 311942 346940 361196 410450 433675 451495 623884 681347 779855 820900 867350 902990 1362694 1559710 1715681 1734700 1805980 2257475 2725388 3119420 3406735 3431362 3899275 4514950 6813470 6862724 7494817 7798550 8578405 9029900 12945593 13626940 14989634 15597100 17033675 17156810 25891186 29979268 34067350 34313620 37474085 42892025 51782372 64727965 68134700 74948170 85784050 129455930 142401523 149896340 171568100 187370425 258911860 284803046 323639825 374740850 569606092 647279650 712007615 749481700 1294559300 1424015230 2848030460 3560038075 7120076150 14240152300