Search a number
-
+
1441431020 = 225174339791
BaseRepresentation
bin101010111101010…
…0111110111101100
310201110022021122002
41111322213313230
510423001243040
6355010511432
750501650541
oct12572476754
93643267562
101441431020
1167a717507
12342895578
1319c826783
14d9618bc8
158682aa15
hex55ea7dec

1441431020 has 48 divisors (see below), whose sum is σ = 3212794368. Its totient is φ = 541347840.

The previous prime is 1441431007. The next prime is 1441431023. The reversal of 1441431020 is 201341441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1441430983 and 1441431001.

It is not an unprimeable number, because it can be changed into a prime (1441431023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142325 + ... + 152115.

It is an arithmetic number, because the mean of its divisors is an integer number (66933216).

Almost surely, 21441431020 is an apocalyptic number.

1441431020 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 1441431020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606397184).

1441431020 is an abundant number, since it is smaller than the sum of its proper divisors (1771363348).

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

1441431020 is a wasteful number, since it uses less digits than its factorization.

1441431020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10250 (or 10248 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1441431020 is about 37966.1825839786. The cubic root of 1441431020 is about 1129.6171778636.

Adding to 1441431020 its reverse (201341441), we get a palindrome (1642772461).

The spelling of 1441431020 in words is "one billion, four hundred forty-one million, four hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 340 433 866 1732 2165 4330 7361 8660 9791 14722 19582 29444 36805 39164 48955 73610 97910 147220 166447 195820 332894 665788 832235 1664470 3328940 4239503 8479006 16958012 21197515 42395030 72071551 84790060 144143102 288286204 360357755 720715510 1441431020