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14133512420 = 22523151283719
BaseRepresentation
bin11010010100110110…
…00100100011100100
31100110222200211011222
431022123010203210
5212421134344140
610254242115512
71010145605366
oct151233044344
940428624158
1014133512420
115aa2aaa085
1228a534bb98
131443187301
1498110cd36
1557ac075b5
hex34a6c48e4

14133512420 has 96 divisors (see below), whose sum is σ = 31329607680. Its totient is φ = 5345366400.

The previous prime is 14133512417. The next prime is 14133512429. The reversal of 14133512420 is 2421533141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14133512420.

It is not an unprimeable number, because it can be changed into a prime (14133512429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19656821 + ... + 19657539.

It is an arithmetic number, because the mean of its divisors is an integer number (326350080).

Almost surely, 214133512420 is an apocalyptic number.

14133512420 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 14133512420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664803840).

14133512420 is an abundant number, since it is smaller than the sum of its proper divisors (17196095260).

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

14133512420 is a wasteful number, since it uses less digits than its factorization.

14133512420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 14133512420 in words is "fourteen billion, one hundred thirty-three million, five hundred twelve thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 151 230 283 302 460 566 604 719 755 1132 1415 1438 1510 2830 2876 3020 3473 3595 5660 6509 6946 7190 13018 13892 14380 16537 17365 26036 32545 33074 34730 42733 65090 66148 69460 82685 85466 108569 130180 165370 170932 203477 213665 217138 330740 406954 427330 434276 542845 813908 854660 982859 1017385 1085690 1965718 2034770 2171380 2497087 3931436 4069540 4679971 4914295 4994174 9359942 9828590 9988348 12485435 18719884 19657180 23399855 24970870 30725027 46799710 49941740 61450054 93599420 122900108 153625135 307250270 614500540 706675621 1413351242 2826702484 3533378105 7066756210 14133512420