Search a number
-
+
1443040200 = 2332527216361
BaseRepresentation
bin101011000000011…
…0000101111001000
310201120100001000100
41112000300233020
510423404241300
6355105205400
750521432200
oct12600605710
93646301010
101443040200
11680616508
12343330860
1319cc6b054
14d9917400
1586a47700
hex56030bc8

1443040200 has 216 divisors, whose sum is σ = 5637772530. Its totient is φ = 329817600.

The previous prime is 1443040187. The next prime is 1443040211. The reversal of 1443040200 is 20403441.

It can be written as a sum of positive squares in 3 ways, for example, as 989605764 + 453434436 = 31458^2 + 21294^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 80020 + ... + 96380.

Almost surely, 21443040200 is an apocalyptic number.

1443040200 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 1443040200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2818886265).

1443040200 is an abundant number, since it is smaller than the sum of its proper divisors (4194732330).

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

1443040200 is a wasteful number, since it uses less digits than its factorization.

1443040200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16397 (or 16378 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1443040200 is about 37987.3689533771. The cubic root of 1443040200 is about 1130.0373809651.

Adding to 1443040200 its reverse (20403441), we get a palindrome (1463443641).

The spelling of 1443040200 in words is "one billion, four hundred forty-three million, forty thousand, two hundred".