Search a number
-
+
144250419015 = 32510331121989
BaseRepresentation
bin1000011001010111111…
…1101011011101000111
3111210100001121112111200
42012111333223131013
54330411101402030
6150133455033543
713264442221323
oct2062577533507
9453301545450
10144250419015
11561a366792a
1223b5920b8b3
13107ab341a31
146da5d2a983
153b43e5ed60
hex2195feb747

144250419015 has 24 divisors (see below), whose sum is σ = 252461582880. Its totient is φ = 76186626624.

The previous prime is 144250419011. The next prime is 144250419151. The reversal of 144250419015 is 510914052441.

144250419015 is a `hidden beast` number, since 14 + 42 + 504 + 1 + 90 + 15 = 666.

It is not a de Polignac number, because 144250419015 - 22 = 144250419011 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144250419011) 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 23 ways as a sum of consecutive naturals, for example, 15556360 + ... + 15565629.

It is an arithmetic number, because the mean of its divisors is an integer number (10519232620).

Almost surely, 2144250419015 is an apocalyptic number.

144250419015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

144250419015 is a deficient number, since it is larger than the sum of its proper divisors (108211163865).

144250419015 is a wasteful number, since it uses less digits than its factorization.

144250419015 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31122103 (or 31122100 counting only the distinct ones).

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

The spelling of 144250419015 in words is "one hundred forty-four billion, two hundred fifty million, four hundred nineteen thousand, fifteen".

Divisors: 1 3 5 9 15 45 103 309 515 927 1545 4635 31121989 93365967 155609945 280097901 466829835 1400489505 3205564867 9616694601 16027824335 28850083803 48083473005 144250419015