Search a number
-
+
144116311545 = 3253202584701
BaseRepresentation
bin1000011000111000000…
…0000110010111111001
3111202222201021011122100
42012032000012113321
54330122233432140
6150112304414013
713261223302413
oct2061600062771
9452881234570
10144116311545
115613499aa08
1223b20317309
13107896187bb
146d921bb9b3
153b372be530
hex218e0065f9

144116311545 has 12 divisors (see below), whose sum is σ = 249801606756. Its totient is φ = 76862032800.

The previous prime is 144116311541. The next prime is 144116311553. The reversal of 144116311545 is 545113611441.

144116311545 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 1 + 631 + 15 + 4 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85084806249 + 59031505296 = 291693^2 + 242964^2 .

It is not a de Polignac number, because 144116311545 - 22 = 144116311541 is a prime.

It is a super-2 number, since 2×1441163115452 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144116311541) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1601292306 + ... + 1601292395.

It is an arithmetic number, because the mean of its divisors is an integer number (20816800563).

Almost surely, 2144116311545 is an apocalyptic number.

144116311545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144116311545 is a deficient number, since it is larger than the sum of its proper divisors (105685295211).

144116311545 is a wasteful number, since it uses less digits than its factorization.

144116311545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3202584712 (or 3202584709 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

Adding to 144116311545 its reverse (545113611441), we get a palindrome (689229922986).

The spelling of 144116311545 in words is "one hundred forty-four billion, one hundred sixteen million, three hundred eleven thousand, five hundred forty-five".

Divisors: 1 3 5 9 15 45 3202584701 9607754103 16012923505 28823262309 48038770515 144116311545