Search a number
-
+
144124303401 = 33132101312727
BaseRepresentation
bin1000011000111001111…
…0100101100000101001
3111210000021022012102000
42012032132211200221
54330131310202101
6150113152001213
713261351236321
oct2061636454051
9453007265360
10144124303401
1156139459351
1223b22b30209
131078b186300
146d9329c281
153b37d4c486
hex218e7a5829

144124303401 has 48 divisors (see below), whose sum is σ = 233495233920. Its totient is φ = 87813460800.

The previous prime is 144124303399. The next prime is 144124303429. The reversal of 144124303401 is 104303421441.

144124303401 is a `hidden beast` number, since 14 + 4 + 1 + 243 + 0 + 3 + 401 = 666.

It is not a de Polignac number, because 144124303401 - 21 = 144124303399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144124302401) 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 47 ways as a sum of consecutive naturals, for example, 304500 + ... + 617226.

It is an arithmetic number, because the mean of its divisors is an integer number (4864484040).

Almost surely, 2144124303401 is an apocalyptic number.

It is an amenable number.

144124303401 is a deficient number, since it is larger than the sum of its proper divisors (89370930519).

144124303401 is a wasteful number, since it uses less digits than its factorization.

144124303401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312863 (or 312844 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 144124303401 its reverse (104303421441), we get a palindrome (248427724842).

The spelling of 144124303401 in words is "one hundred forty-four billion, one hundred twenty-four million, three hundred three thousand, four hundred one".

Divisors: 1 3 9 13 27 39 101 117 169 303 351 507 909 1313 1521 2727 3939 4563 11817 17069 35451 51207 153621 312727 460863 938181 2814543 4065451 8443629 12196353 31585427 36589059 52850863 94756281 109767177 158552589 284268843 410610551 475657767 852806529 1231831653 1426973301 3695494959 5337937163 11086484877 16013811489 48041434467 144124303401