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14313321420 = 22354314993701
BaseRepresentation
bin11010101010010001…
…11111001111001100
31100221112001001202120
431111020333033030
5213303202241140
610324144052540
71014461140026
oct152510771714
940845031676
1014313321420
116085551262
122935604150
1314714c2278
1499ad57016
1558b8c41d0
hex35523f3cc

14313321420 has 96 divisors (see below), whose sum is σ = 41047776000. Its totient is φ = 3724627200.

The previous prime is 14313321419. The next prime is 14313321427. The reversal of 14313321420 is 2412331341.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (14313321427) 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 31 ways as a sum of consecutive naturals, for example, 3865570 + ... + 3869270.

It is an arithmetic number, because the mean of its divisors is an integer number (427581000).

Almost surely, 214313321420 is an apocalyptic number.

14313321420 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 14313321420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20523888000).

14313321420 is an abundant number, since it is smaller than the sum of its proper divisors (26734454580).

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

14313321420 is a wasteful number, since it uses less digits than its factorization.

14313321420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 14313321420 its reverse (2412331341), we get a palindrome (16725652761).

The spelling of 14313321420 in words is "fourteen billion, three hundred thirteen million, three hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 1290 1499 2580 2998 3701 4497 5996 7402 7495 8994 11103 14804 14990 17988 18505 22206 22485 29980 37010 44412 44970 55515 64457 74020 89940 111030 128914 159143 193371 222060 257828 318286 322285 386742 477429 636572 644570 773484 795715 954858 966855 1289140 1591430 1909716 1933710 2387145 3182860 3867420 4774290 5547799 9548580 11095598 16643397 22191196 27738995 33286794 55477990 66573588 83216985 110955980 166433970 238555357 332867940 477110714 715666071 954221428 1192776785 1431332142 2385553570 2862664284 3578330355 4771107140 7156660710 14313321420