Search a number
-
+
1441602000 = 2432532832
BaseRepresentation
bin101010111101101…
…0001100111010000
310201110121222011200
41111323101213100
510423022231000
6355014311200
750503262166
oct12573214720
93643558150
101441602000
1167a823a13
12342958500
1319c886547
14d9661236
1586861500
hex55ed19d0

1441602000 has 180 divisors, whose sum is σ = 5052889764. Its totient is φ = 383068800.

The previous prime is 1441601999. The next prime is 1441602013. The reversal of 1441602000 is 2061441.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 46131264 + 1395470736 = 6792^2 + 37356^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5093859 + ... + 5094141.

Almost surely, 21441602000 is an apocalyptic number.

1441602000 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 1441602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526444882).

1441602000 is an abundant number, since it is smaller than the sum of its proper divisors (3611287764).

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

1441602000 is an equidigital number, since it uses as much as digits as its factorization.

1441602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1441602000 is about 37968.4342579464. The cubic root of 1441602000 is about 1129.6618404954.

Adding to 1441602000 its reverse (2061441), we get a palindrome (1443663441).

The spelling of 1441602000 in words is "one billion, four hundred forty-one million, six hundred two thousand".