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14133143504 = 242955192
BaseRepresentation
bin11010010100110011…
…01010011111010000
31100110222000002010102
431022121222133100
5212421041043004
610254230151532
71010142511004
oct151231523720
940428002112
1014133143504
115aa2877997
1228a51b25a8
13144308840c
14981054704
1557ab8311e
hex34a66a7d0

14133143504 has 30 divisors (see below), whose sum is σ = 28332339330. Its totient is φ = 6821660608.

The previous prime is 14133143473. The next prime is 14133143617. The reversal of 14133143504 is 40534133141.

It is a happy number.

14133143504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 12183744400 + 1949399104 = 110380^2 + 44152^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2558057 + ... + 2563575.

It is an arithmetic number, because the mean of its divisors is an integer number (944411311).

Almost surely, 214133143504 is an apocalyptic number.

It is an amenable number.

14133143504 is an abundant number, since it is smaller than the sum of its proper divisors (14199195826).

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

14133143504 is an frugal number, since it uses more digits than its factorization.

14133143504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

Multiplying 14133143504 by its sum of digits (29), we get a square (409861161616 = 6402042).

14133143504 divided by its sum of digits (29) gives a square (487349776 = 220762).

Adding to 14133143504 its reverse (40534133141), we get a palindrome (54667276645).

The spelling of 14133143504 in words is "fourteen billion, one hundred thirty-three million, one hundred forty-three thousand, five hundred four".

Divisors: 1 2 4 8 16 29 58 116 232 464 5519 11038 22076 44152 88304 160051 320102 640204 1280408 2560816 30459361 60918722 121837444 243674888 487349776 883321469 1766642938 3533285876 7066571752 14133143504