Search a number
-
+
144053104000 = 2753131740739
BaseRepresentation
bin1000011000101000111…
…0111110110110000000
3111202211022022220012011
42012022032332312000
54330010043312000
6150102125542304
713256525116021
oct2061216766600
9452738286164
10144053104000
1156102249173
1223b03114994
13107794b78a0
146d87a46c48
153b319862ba
hex218a3bed80

144053104000 has 256 divisors, whose sum is σ = 408400574400. Its totient is φ = 50058854400.

The previous prime is 144053103989. The next prime is 144053104049. The reversal of 144053104000 is 401350441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3515631 + ... + 3556369.

Almost surely, 2144053104000 is an apocalyptic number.

144053104000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144053104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204200287200).

144053104000 is an abundant number, since it is smaller than the sum of its proper divisors (264347470400).

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

144053104000 is a wasteful number, since it uses less digits than its factorization.

144053104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40798 (or 40776 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 144053104000 its reverse (401350441), we get a palindrome (144454454441).

The spelling of 144053104000 in words is "one hundred forty-four billion, fifty-three million, one hundred four thousand".