Search a number
-
+
1442440000 = 265436061
BaseRepresentation
bin101010111111001…
…1110001101000000
310201112012112200201
41111332132031000
510423231040000
6355044254544
750513352301
oct12576361500
93645175621
101442440000
11680246581
123430a1454
1319cabaac1
14d97dc7a8
158697996a
hex55f9e340

1442440000 has 70 divisors (see below), whose sum is σ = 3576881594. Its totient is φ = 576960000.

The previous prime is 1442439949. The next prime is 1442440037. The reversal of 1442440000 is 442441.

It can be written as a sum of positive squares in 5 ways, for example, as 744634944 + 697805056 = 27288^2 + 26416^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1442440000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21970 + ... + 58030.

Almost surely, 21442440000 is an apocalyptic number.

1442440000 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 1442440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788440797).

1442440000 is an abundant number, since it is smaller than the sum of its proper divisors (2134441594).

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

1442440000 is an frugal number, since it uses more digits than its factorization.

1442440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36093 (or 36068 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 1442440000 is about 37979.4681374029. The cubic root of 1442440000 is about 1129.8806880580.

Adding to 1442440000 its reverse (442441), we get a palindrome (1442882441).

The spelling of 1442440000 in words is "one billion, four hundred forty-two million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 4000 5000 8000 10000 20000 36061 40000 72122 144244 180305 288488 360610 576976 721220 901525 1153952 1442440 1803050 2307904 2884880 3606100 4507625 5769760 7212200 9015250 11539520 14424400 18030500 22538125 28848800 36061000 45076250 57697600 72122000 90152500 144244000 180305000 288488000 360610000 721220000 1442440000