Search a number
-
+
144235335024 = 24321117101181293
BaseRepresentation
bin1000011001010100011…
…0001000110101110000
3111210022000020012011100
42012111012020311300
54330343221210044
6150132155444400
713264200055554
oct2062506106560
9453260205140
10144235335024
11561960a5020
1223b54156700
13107a81900b1
146da3d21864
153b42980869
hex2195188d70

144235335024 has 480 divisors, whose sum is σ = 475091967168. Its totient is φ = 40366080000.

The previous prime is 144235334993. The next prime is 144235335061. The reversal of 144235335024 is 420533532441.

144235335024 is a `hidden beast` number, since 14 + 42 + 3 + 533 + 50 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144235335024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 492270622 + ... + 492270914.

Almost surely, 2144235335024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144235335024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237545983584).

144235335024 is an abundant number, since it is smaller than the sum of its proper divisors (330856632144).

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

144235335024 is a wasteful number, since it uses less digits than its factorization.

144235335024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 144235335024 its reverse (420533532441), we get a palindrome (564768867465).

The spelling of 144235335024 in words is "one hundred forty-four billion, two hundred thirty-five million, three hundred thirty-five thousand, twenty-four".