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1442613140 = 225448116097
BaseRepresentation
bin101010111111100…
…1000011110010100
310201112112100012022
41111333020132110
510423302110030
6355052112312
750515003133
oct12577103624
93645470168
101442613140
11680354671
12343165698
1319cb4b857
14d984591a
15869b0de5
hex55fc8794

1442613140 has 24 divisors (see below), whose sum is σ = 3030351912. Its totient is φ = 576880640.

The previous prime is 1442613121. The next prime is 1442613143. The reversal of 1442613140 is 413162441.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 345811216 + 1096801924 = 18596^2 + 33118^2 .

It is a super-4 number, since 4×14426131404 (a number of 38 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442613143) 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 7 ways as a sum of consecutive naturals, for example, 81572 + ... + 97668.

It is an arithmetic number, because the mean of its divisors is an integer number (126264663).

Almost surely, 21442613140 is an apocalyptic number.

1442613140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442613140 is an abundant number, since it is smaller than the sum of its proper divisors (1587738772).

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

1442613140 is a wasteful number, since it uses less digits than its factorization.

1442613140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20587 (or 20585 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 1442613140 is about 37981.7474584833. The cubic root of 1442613140 is about 1129.9258938010.

Adding to 1442613140 its reverse (413162441), we get a palindrome (1855775581).

The spelling of 1442613140 in words is "one billion, four hundred forty-two million, six hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 4481 8962 16097 17924 22405 32194 44810 64388 80485 89620 160970 321940 72130657 144261314 288522628 360653285 721306570 1442613140