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14241130020 = 2234513676217
BaseRepresentation
bin11010100001101011…
…00110011000100100
31100202111012100210000
431100311212120210
5213131212130040
610313044501300
71012623415335
oct152065463044
940674170700
1014241130020
116048823847
1229153aa830
13145c567170
1499152428c
155853b4130
hex350d66624

14241130020 has 120 divisors (see below), whose sum is σ = 48111558264. Its totient is φ = 3505503744.

The previous prime is 14241130009. The next prime is 14241130031. The reversal of 14241130020 is 2003114241.

It is an interprime number because it is at equal distance from previous prime (14241130009) and next prime (14241130031).

It can be written as a sum of positive squares in 4 ways, for example, as 1702057536 + 12539072484 = 41256^2 + 111978^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14241129975 and 14241130002.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 317049 + ... + 359168.

Almost surely, 214241130020 is an apocalyptic number.

14241130020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14241130020 is an abundant number, since it is smaller than the sum of its proper divisors (33870428244).

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

14241130020 is a wasteful number, since it uses less digits than its factorization.

14241130020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676251 (or 676240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14241130020 its reverse (2003114241), we get a palindrome (16244244261).

The spelling of 14241130020 in words is "fourteen billion, two hundred forty-one million, one hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 4212 5265 7020 10530 21060 676217 1352434 2028651 2704868 3381085 4057302 6085953 6762170 8114604 8790821 10143255 12171906 13524340 17581642 18257859 20286510 24343812 26372463 30429765 35163284 36515718 40573020 43954105 52744926 54773577 60859530 73031436 79117389 87908210 91289295 105489852 109547154 121719060 131862315 158234778 175816420 182578590 219094308 237352167 263724630 273867885 316469556 365157180 395586945 474704334 527449260 547735770 712056501 791173890 949408668 1095471540 1186760835 1424113002 1582347780 2373521670 2848226004 3560282505 4747043340 7120565010 14241130020