Search a number
-
+
144316237632 = 26376711031453
BaseRepresentation
bin1000011001100111101…
…0110000011101000000
3111210111122110110200020
42012121322300131000
54331024424101012
6150144205453440
713266201531330
oct2063172603500
9453448413606
10144316237632
1156227832386
1223b77271280
13107bbb78268
146db09810c0
153b49b11a8c
hex2199eb0740

144316237632 has 224 divisors, whose sum is σ = 443604652032. Its totient is φ = 40553035776.

The previous prime is 144316237631. The next prime is 144316237643. The reversal of 144316237632 is 236732613441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144316237631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99322218 + ... + 99323670.

Almost surely, 2144316237632 is an apocalyptic number.

144316237632 is a gapful number since it is divisible by the number (12) 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 144316237632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221802326016).

144316237632 is an abundant number, since it is smaller than the sum of its proper divisors (299288414400).

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

144316237632 is a wasteful number, since it uses less digits than its factorization.

144316237632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2645 (or 2635 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The spelling of 144316237632 in words is "one hundred forty-four billion, three hundred sixteen million, two hundred thirty-seven thousand, six hundred thirty-two".