Search a number
-
+
144411344251511 = 19103719200351239
BaseRepresentation
bin100000110101011101100010…
…111000000010101001110111
3200221022120220212201022001112
4200311131202320002221313
5122412013413112022021
61231045353343545235
742263242506531611
oct4065354270025167
9627276825638045
10144411344251511
1142017564041287
1214243a76bbb21b
136276c1519460c
1427937912b1db1
1511a670cc7ed5b
hex835762e02a77

144411344251511 has 32 divisors (see below), whose sum is σ = 153780996096000. Its totient is φ = 135223870830048.

The previous prime is 144411344251487. The next prime is 144411344251543. The reversal of 144411344251511 is 115152443114441.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-144411344251511 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144411344251591) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2818361630 + ... + 2818412868.

It is an arithmetic number, because the mean of its divisors is an integer number (4805656128000).

Almost surely, 2144411344251511 is an apocalyptic number.

144411344251511 is a deficient number, since it is larger than the sum of its proper divisors (9369651844489).

144411344251511 is a wasteful number, since it uses less digits than its factorization.

144411344251511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54083.

The product of its digits is 153600, while the sum is 41.

Adding to 144411344251511 its reverse (115152443114441), we get a palindrome (259563787365952).

The spelling of 144411344251511 in words is "one hundred forty-four trillion, four hundred eleven billion, three hundred forty-four million, two hundred fifty-one thousand, five hundred eleven".

Divisors: 1 19 103 719 1957 2003 13661 38057 51239 74057 206309 973541 1407083 1440157 3919871 5277617 27362983 36840841 100274723 102631717 148336171 699975979 1950002623 2818387249 3794606623 10571066851 72097525837 73792204523 200850270169 1402051885937 7600597065869 144411344251511