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14132401220 = 2257294338039
BaseRepresentation
bin11010010100101101…
…10101010001000100
31100110220121100220102
431022112311101010
5212420343314340
610254202223232
71010133266630
oct151226652104
940426540812
1014132401220
115aa2410233
1228a4ab4b18
131442b885b2
14980cdddc0
1557aa88215
hex34a5b5444

14132401220 has 96 divisors (see below), whose sum is σ = 35172748800. Its totient is φ = 4666927104.

The previous prime is 14132401183. The next prime is 14132401259. The reversal of 14132401220 is 2210423141.

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

It is a junction number, because it is equal to n+sod(n) for n = 14132401192 and 14132401201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1753961 + ... + 1761999.

It is an arithmetic number, because the mean of its divisors is an integer number (366382800).

Almost surely, 214132401220 is an apocalyptic number.

14132401220 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 14132401220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17586374400).

14132401220 is an abundant number, since it is smaller than the sum of its proper divisors (21040347580).

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

14132401220 is a wasteful number, since it uses less digits than its factorization.

14132401220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8517 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14132401220 its reverse (2210423141), we get a palindrome (16342824361).

The spelling of 14132401220 in words is "fourteen billion, one hundred thirty-two million, four hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 433 580 812 866 1015 1732 2030 2165 3031 4060 4330 6062 8039 8660 12124 12557 15155 16078 25114 30310 32156 40195 50228 56273 60620 62785 80390 87899 112546 125570 160780 175798 225092 233131 251140 281365 351596 439495 466262 562730 878990 932524 1125460 1165655 1631917 1757980 2331310 3263834 3480887 4662620 6527668 6961774 8159585 13923548 16319170 17404435 24366209 32638340 34808870 48732418 69617740 97464836 100945723 121831045 201891446 243662090 403782892 487324180 504728615 706620061 1009457230 1413240122 2018914460 2826480244 3533100305 7066200610 14132401220