Search a number
-
+
144225521141415 = 3579724158757599
BaseRepresentation
bin100000110010110000011110…
…111101001000011010100111
3200220122211021112202020110120
4200302300132331020122213
5122400442331403011130
61230424142325453023
742243643602256260
oct4062603675103247
9626584245666416
10144225521141415
1141a5577780731a
1214213a57271173
1362625400096bc
1427887a3d91967
1511a1984230910
hex832c1ef486a7

144225521141415 has 64 divisors (see below), whose sum is σ = 267551086387200. Its totient is φ = 64981202780160.

The previous prime is 144225521141399. The next prime is 144225521141431. The reversal of 144225521141415 is 514141125522441.

It is an interprime number because it is at equal distance from previous prime (144225521141399) and next prime (144225521141431).

It is not a de Polignac number, because 144225521141415 - 24 = 144225521141399 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26924215 + ... + 31833384.

It is an arithmetic number, because the mean of its divisors is an integer number (4180485724800).

Almost surely, 2144225521141415 is an apocalyptic number.

144225521141415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144225521141415 is a deficient number, since it is larger than the sum of its proper divisors (123325565245785).

144225521141415 is a wasteful number, since it uses less digits than its factorization.

144225521141415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58757952.

The product of its digits is 256000, while the sum is 42.

Adding to 144225521141415 its reverse (514141125522441), we get a palindrome (658366646663856).

The spelling of 144225521141415 in words is "one hundred forty-four trillion, two hundred twenty-five billion, five hundred twenty-one million, one hundred forty-one thousand, four hundred fifteen".

Divisors: 1 3 5 7 15 21 35 97 105 241 291 485 679 723 1205 1455 1687 2037 3395 3615 5061 8435 10185 23377 25305 70131 116885 163639 350655 490917 818195 2454585 58757599 176272797 293787995 411303193 881363985 1233909579 2056515965 5699487103 6169547895 14160581359 17098461309 28497435515 39896409721 42481744077 70802906795 85492306545 99124069513 119689229163 199482048605 212408720385 297372208539 495620347565 598446145815 1373576391823 1486861042695 4120729175469 6867881959115 9615034742761 20603645877345 28845104228283 48075173713805 144225521141415