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1442030040 = 233551113487
BaseRepresentation
bin101010111110011…
…1010000111011000
310201111102201100000
41111330322013120
510423124430130
6355031413000
750510024133
oct12574720730
93644381300
101442030040
1167aa96570
12342b24160
1319c9a6319
14d973321a
15868e8260
hex55f3a1d8

1442030040 has 192 divisors, whose sum is σ = 5302402560. Its totient is φ = 349557120.

The previous prime is 1442030039. The next prime is 1442030041. The reversal of 1442030040 is 400302441.

It is an interprime number because it is at equal distance from previous prime (1442030039) and next prime (1442030041).

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

It is a junction number, because it is equal to n+sod(n) for n = 1442029995 and 1442030022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1442030041) 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 47 ways as a sum of consecutive naturals, for example, 100177 + ... + 113663.

It is an arithmetic number, because the mean of its divisors is an integer number (27616680).

Almost surely, 21442030040 is an apocalyptic number.

1442030040 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 1442030040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651201280).

1442030040 is an abundant number, since it is smaller than the sum of its proper divisors (3860372520).

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

1442030040 is a wasteful number, since it uses less digits than its factorization.

1442030040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13524 (or 13508 counting only the distinct ones).

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

The square root of 1442030040 is about 37974.0706272056. The cubic root of 1442030040 is about 1129.7736357077.

Adding to 1442030040 its reverse (400302441), we get a palindrome (1842332481).

The spelling of 1442030040 in words is "one billion, four hundred forty-two million, thirty thousand, forty".