Search a number
-
+
144021131232 = 25311263641809
BaseRepresentation
bin1000011000100001010…
…1000000111111100000
3111202202002011111210120
42012020111000333200
54324423402144412
6150055024400240
713255656262656
oct2061025007740
9452662144716
10144021131232
11560961a05a0
1223ab4476080
13107729a19a4
146d836c2dd6
153b2dc6cb8c
hex2188540fe0

144021131232 has 192 divisors, whose sum is σ = 415150686720. Its totient is φ = 43355340800.

The previous prime is 144021131213. The next prime is 144021131251. The reversal of 144021131232 is 232131120441.

It is an interprime number because it is at equal distance from previous prime (144021131213) and next prime (144021131251).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178023244 + ... + 178024052.

It is an arithmetic number, because the mean of its divisors is an integer number (2162243160).

Almost surely, 2144021131232 is an apocalyptic number.

144021131232 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 144021131232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207575343360).

144021131232 is an abundant number, since it is smaller than the sum of its proper divisors (271129555488).

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

144021131232 is a wasteful number, since it uses less digits than its factorization.

144021131232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 144021131232 its reverse (232131120441), we get a palindrome (376152251673).

The spelling of 144021131232 in words is "one hundred forty-four billion, twenty-one million, one hundred thirty-one thousand, two hundred thirty-two".