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1442113200 = 2433521161199
BaseRepresentation
bin101010111110100…
…1110011010110000
310201111120221102000
41111331032122300
510423140110300
6355033254000
750510521443
oct12575163260
93644527360
101442113200
11680042aa0
12342b64300
1319ca05128
14d975565a
1586912c00
hex55f4e6b0

1442113200 has 480 divisors, whose sum is σ = 5719872000. Its totient is φ = 342144000.

The previous prime is 1442113193. The next prime is 1442113207. The reversal of 1442113200 is 23112441.

It is an interprime number because it is at equal distance from previous prime (1442113193) and next prime (1442113207).

It is a super-2 number, since 2×14421132002 = 4159380963228480000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1442113207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7246701 + ... + 7246899.

It is an arithmetic number, because the mean of its divisors is an integer number (11916400).

Almost surely, 21442113200 is an apocalyptic number.

1442113200 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 1442113200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2859936000).

1442113200 is an abundant number, since it is smaller than the sum of its proper divisors (4277758800).

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

1442113200 is a wasteful number, since it uses less digits than its factorization.

1442113200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 281 counting only the distinct ones).

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

The square root of 1442113200 is about 37975.1655690927. The cubic root of 1442113200 is about 1129.7953528164.

Adding to 1442113200 its reverse (23112441), we get a palindrome (1465225641).

The spelling of 1442113200 in words is "one billion, four hundred forty-two million, one hundred thirteen thousand, two hundred".