Search a number
-
+
14631361546644 = 2232735567489173
BaseRepresentation
bin1101010011101010000100…
…0110111000100110010100
31220210202002202001122111100
43110322201012320212110
53404210012023443034
651041315452110100
73040036531063143
oct324724106704624
956722082048440
1014631361546644
114731142177377
1217837a5465330
1382196808043b
143882398dd75a
151a58de191099
hexd4ea11b8994

14631361546644 has 36 divisors (see below), whose sum is σ = 37491472097716. Its totient is φ = 4810310644608.

The previous prime is 14631361546643. The next prime is 14631361546667. The reversal of 14631361546644 is 44664516313641.

14631361546644 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 1 + 36 + 1 + 546 + 64 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10220681120400 + 4410680426244 = 3196980^2 + 2100162^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×146313615466442 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14631361546643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2783741959 + ... + 2783747214.

Almost surely, 214631361546644 is an apocalyptic number.

It is an amenable number.

14631361546644 is an abundant number, since it is smaller than the sum of its proper divisors (22860110551072).

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

14631361546644 is a wasteful number, since it uses less digits than its factorization.

14631361546644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5567489256 (or 5567489251 counting only the distinct ones).

The product of its digits is 14929920, while the sum is 54.

The spelling of 14631361546644 in words is "fourteen trillion, six hundred thirty-one billion, three hundred sixty-one million, five hundred forty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 5567489173 11134978346 16702467519 22269956692 33404935038 50107402557 66809870076 100214805114 200429610228 406426709629 812853419258 1219280128887 1625706838516 2438560257774 3657840386661 4877120515548 7315680773322 14631361546644