Search a number
-
+
14521132321040 = 2451915733607219
BaseRepresentation
bin1101001101001111011011…
…1011110000100100010000
31220102012120200022210201002
43103103312323300210100
53400403234333233130
650514525513201132
73026055124113362
oct323236673604420
956365520283632
1014521132321040
1146994176a2714
121766361a001a8
1381444c2358a7
14382b800cad32
151a2adbdb9b45
hexd34f6ef0910

14521132321040 has 80 divisors (see below), whose sum is σ = 35540878065600. Its totient is φ = 5502386059776.

The previous prime is 14521132321039. The next prime is 14521132321121. The reversal of 14521132321040 is 4012323112541.

It is a happy number.

14521132321040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 14521132320994 and 14521132321012.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23610551 + ... + 24217769.

It is an arithmetic number, because the mean of its divisors is an integer number (444260975820).

Almost surely, 214521132321040 is an apocalyptic number.

14521132321040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14521132321040 is an abundant number, since it is smaller than the sum of its proper divisors (21019745744560).

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

14521132321040 is a wasteful number, since it uses less digits than its factorization.

14521132321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622984 (or 622978 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 14521132321040 its reverse (4012323112541), we get a palindrome (18533455433581).

The spelling of 14521132321040 in words is "fourteen trillion, five hundred twenty-one billion, one hundred thirty-two million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 15733 31466 62932 78665 125864 157330 251728 298927 314660 597854 607219 629320 1195708 1214438 1258640 1494635 2391416 2428876 2989270 3036095 4782832 4857752 5978540 6072190 9715504 11537161 11957080 12144380 23074322 23914160 24288760 46148644 48577520 57685805 92297288 115371610 184594576 230743220 461486440 922972880 9553376527 19106753054 38213506108 47766882635 76427012216 95533765270 152854024432 181514154013 191067530540 363028308026 382135061080 726056616052 764270122160 907570770065 1452113232104 1815141540130 2904226464208 3630283080260 7260566160520 14521132321040