Search a number
-
+
144053103999 = 37251124921881
BaseRepresentation
bin1000011000101000111…
…0111110110101111111
3111202211022022220012010
42012022032332311333
54330010043311444
6150102125542303
713256525116020
oct2061216766577
9452738286163
10144053103999
1156102249172
1223b03114993
13107794b789c
146d87a46c47
153b319862b9
hex218a3bed7f

144053103999 has 32 divisors (see below), whose sum is σ = 220570560000. Its totient is φ = 81918720000.

The previous prime is 144053103989. The next prime is 144053104049. The reversal of 144053103999 is 999301350441.

It is a happy number.

It is not a de Polignac number, because 144053103999 - 213 = 144053095807 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144053103989) 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, 6572539 + ... + 6594419.

It is an arithmetic number, because the mean of its divisors is an integer number (6892830000).

Almost surely, 2144053103999 is an apocalyptic number.

144053103999 is a deficient number, since it is larger than the sum of its proper divisors (76517456001).

144053103999 is a wasteful number, since it uses less digits than its factorization.

144053103999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23391.

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 144053103999 in words is "one hundred forty-four billion, fifty-three million, one hundred three thousand, nine hundred ninety-nine".

Divisors: 1 3 7 21 251 753 1249 1757 3747 5271 8743 21881 26229 65643 153167 313499 459501 940497 2194493 5492131 6583479 16476393 27329369 38444917 81988107 115334751 191305583 573916749 6859671619 20579014857 48017701333 144053103999