Search a number
-
+
14311350544 = 241961799769
BaseRepresentation
bin11010101010000010…
…11110000100010000
31100221101022221020011
431111001132010100
5213302201204134
610324033524304
71014435321031
oct152501360420
940841287204
1014311350544
116084425537
122934a13694
131470c8217a
1499a9a2a88
1558b635264
hex35505e110

14311350544 has 80 divisors (see below), whose sum is σ = 30044704000. Its totient is φ = 6582850560.

The previous prime is 14311350511. The next prime is 14311350577. The reversal of 14311350544 is 44505311341.

It is an interprime number because it is at equal distance from previous prime (14311350511) and next prime (14311350577).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1460092 + ... + 1469860.

It is an arithmetic number, because the mean of its divisors is an integer number (375558800).

Almost surely, 214311350544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14311350544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15022352000).

14311350544 is an abundant number, since it is smaller than the sum of its proper divisors (15733353456).

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

14311350544 is a wasteful number, since it uses less digits than its factorization.

14311350544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9936 (or 9930 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 14311350544 its reverse (44505311341), we get a palindrome (58816661885).

The spelling of 14311350544 in words is "fourteen billion, three hundred eleven million, three hundred fifty thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 38 61 76 79 122 152 158 244 304 316 488 632 976 1159 1264 1501 2318 3002 4636 4819 6004 9272 9638 9769 12008 18544 19276 19538 24016 38552 39076 77104 78152 91561 156304 183122 185611 366244 371222 595909 732488 742444 771751 1191818 1464976 1484888 1543502 2383636 2969776 3087004 4767272 6174008 9534544 11322271 12348016 14663269 22644542 29326538 45289084 47076811 58653076 90578168 94153622 117306152 181156336 188307244 234612304 376614488 753228976 894459409 1788918818 3577837636 7155675272 14311350544