Search a number
-
+
14453460024516 = 22326718713202733
BaseRepresentation
bin1101001001010011010101…
…0110011011110011000100
31220011201220110221221201100
43102110311112123303010
53343301141231241031
650423454453100100
73021141133100262
oct322246526336304
956151813857640
1014453460024516
114672750423727
121755216627630
1380ac56112c96
1437d7a06b5432
151a0e7acedde6
hexd253559bcc4

14453460024516 has 72 divisors (see below), whose sum is σ = 37100265681024. Its totient is φ = 4743374201280.

The previous prime is 14453460024473. The next prime is 14453460024533. The reversal of 14453460024516 is 61542006435441.

14453460024516 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 3 + 4 + 600 + 24 + 5 + 16 = 666.

14453460024516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2911486 + ... + 6114218.

It is an arithmetic number, because the mean of its divisors is an integer number (515281467792).

Almost surely, 214453460024516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14453460024516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18550132840512).

14453460024516 is an abundant number, since it is smaller than the sum of its proper divisors (22646805656508).

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

14453460024516 is a wasteful number, since it uses less digits than its factorization.

14453460024516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3204681 (or 3204676 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 14453460024516 its reverse (61542006435441), we get a palindrome (75995466459957).

The spelling of 14453460024516 in words is "fourteen trillion, four hundred fifty-three billion, four hundred sixty million, twenty-four thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 1871 2412 3742 5613 7484 11226 16839 22452 33678 67356 125357 250714 376071 501428 752142 1128213 1504284 2256426 3202733 4512852 6405466 9608199 12810932 19216398 28824597 38432796 57649194 115298388 214583111 429166222 643749333 858332444 1287498666 1931247999 2574997332 3862495998 5992313443 7724991996 11984626886 17976940329 23969253772 35953880658 53930820987 71907761316 107861641974 215723283948 401485000681 802970001362 1204455002043 1605940002724 2408910004086 3613365006129 4817820008172 7226730012258 14453460024516