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14045141201 = 71331127197199
BaseRepresentation
bin11010001010010011…
…11101100011010001
31100020211102002122212
431011021331203101
5212231024004301
610241404041505
71005023505350
oct150511754321
940224362585
1014045141201
115a58130513
12287b833295
13142aa85850
149734a7997
1557309d4bb
hex34527d8d1

14045141201 has 64 divisors (see below), whose sum is σ = 18166579200. Its totient is φ = 10561985280.

The previous prime is 14045141171. The next prime is 14045141233. The reversal of 14045141201 is 10214154041.

14045141201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 14045141201 - 26 = 14045141137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14045141701) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 70578500 + ... + 70578698.

It is an arithmetic number, because the mean of its divisors is an integer number (283852800).

Almost surely, 214045141201 is an apocalyptic number.

It is an amenable number.

14045141201 is a deficient number, since it is larger than the sum of its proper divisors (4121437999).

14045141201 is a wasteful number, since it uses less digits than its factorization.

14045141201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574.

The product of its (nonzero) digits is 640, while the sum is 23.

Adding to 14045141201 its reverse (10214154041), we get a palindrome (24259295242).

The spelling of 14045141201 in words is "fourteen billion, forty-five million, one hundred forty-one thousand, two hundred one".

Divisors: 1 7 13 31 91 127 197 199 217 403 889 1379 1393 1651 2561 2587 2821 3937 6107 6169 11557 17927 18109 25019 25273 27559 39203 42749 43183 51181 79391 80197 175133 176911 274421 325247 328549 358267 509639 555737 561379 775589 783463 1215293 2276729 2299843 3567473 4978781 5429123 5484241 8507051 10082657 10185019 15798809 34851467 64724153 70578599 71295133 110591663 154342211 453069071 1080395477 2006448743 14045141201