Search a number
-
+
14152142433504 = 253272267541447
BaseRepresentation
bin1100110111110000110101…
…1011000010110011100000
31212002221011010202100220010
43031330031123002303200
53323332041430333004
650033223211244520
72660313165610455
oct315741533026340
955087133670803
1014152142433504
114566987504839
121706943a49740
137b870632a62a
1436cd7859382c
151981e2b27a89
hexcdf0d6c2ce0

14152142433504 has 48 divisors (see below), whose sum is σ = 37149578944128. Its totient is φ = 4717354772352.

The previous prime is 14152142433503. The next prime is 14152142433521. The reversal of 14152142433504 is 40533424125141.

14152142433504 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14152142433503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25866909 + ... + 26408355.

It is an arithmetic number, because the mean of its divisors is an integer number (773949561336).

Almost surely, 214152142433504 is an apocalyptic number.

It is an amenable number.

14152142433504 is an abundant number, since it is smaller than the sum of its proper divisors (22997436510624).

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

14152142433504 is a wasteful number, since it uses less digits than its factorization.

14152142433504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813727 (or 813719 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

Adding to 14152142433504 its reverse (40533424125141), we get a palindrome (54685566558645).

The spelling of 14152142433504 in words is "fourteen trillion, one hundred fifty-two billion, one hundred forty-two million, four hundred thirty-three thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 272267 541447 544534 816801 1082894 1089068 1624341 1633602 2165788 2178136 3248682 3267204 4331576 4356272 6497364 6534408 8663152 8712544 12994728 13068816 17326304 25989456 26137632 51978912 147418150349 294836300698 442254451047 589672601396 884508902094 1179345202792 1769017804188 2358690405584 3538035608376 4717380811168 7076071216752 14152142433504