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14323314041020 = 22531373376916433
BaseRepresentation
bin1101000001101110100000…
…0010111010000010111100
31212201021222101022222101101
43100123220002322002330
53334133121343303040
650244012321022444
73005553034352125
oct320335002720274
955637871288341
1014323314041020
114622535405a86
121733b54a84a24
137cb8b4c177aa
14377375a8904c
1519c8b025109a
hexd06e80ba0bc

14323314041020 has 96 divisors (see below), whose sum is σ = 31142645614080. Its totient is φ = 5527840481280.

The previous prime is 14323314040943. The next prime is 14323314041033. The reversal of 14323314041020 is 2014041332341.

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 14323314041020.

It is a congruent number.

It is an unprimeable number.

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, 871610724 + ... + 871627156.

It is an arithmetic number, because the mean of its divisors is an integer number (324402558480).

Almost surely, 214323314041020 is an apocalyptic number.

14323314041020 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 14323314041020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15571322807040).

14323314041020 is an abundant number, since it is smaller than the sum of its proper divisors (16819331573060).

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

14323314041020 is a wasteful number, since it uses less digits than its factorization.

14323314041020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20615 (or 20613 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 14323314041020 its reverse (2014041332341), we get a palindrome (16337355373361).

The spelling of 14323314041020 in words is "fourteen trillion, three hundred twenty-three billion, three hundred fourteen million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 373 620 746 1492 1865 3730 3769 7460 7538 11563 15076 16433 18845 23126 32866 37690 46252 57815 65732 75380 82165 115630 116839 164330 231260 233678 328660 467356 509423 584195 1018846 1168390 1405837 2037692 2336780 2547115 2811674 5094230 5623348 6129509 7029185 10188460 12259018 14058370 24518036 28116740 30647545 43580947 61295090 61935977 87161894 122590180 123871954 174323788 190014779 217904735 247743908 309679885 380029558 435809470 619359770 760059116 871618940 950073895 1238719540 1900147790 1920015287 3800295580 3840030574 7680061148 9600076435 19200152870 23102119421 38400305740 46204238842 92408477684 115510597105 231021194210 462042388420 716165702051 1432331404102 2864662808204 3580828510255 7161657020510 14323314041020