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1442456040 = 233523231733
BaseRepresentation
bin101010111111010…
…0010000111101000
310201112020100200210
41111332202013220
510423232043130
6355044501120
750513450124
oct12576420750
93645210623
101442456040
11680257633
123430aa7a0
1319cac51ac
14d9804584
158697e5b0
hex55fa21e8

1442456040 has 192 divisors, whose sum is σ = 4675991040. Its totient is φ = 355576320.

The previous prime is 1442456033. The next prime is 1442456047. The reversal of 1442456040 is 406542441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1442456033) and next prime (1442456047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1442455989 and 1442456007.

It is not an unprimeable number, because it can be changed into a prime (1442456047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1967514 + ... + 1968246.

It is an arithmetic number, because the mean of its divisors is an integer number (24354120).

Almost surely, 21442456040 is an apocalyptic number.

1442456040 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 1442456040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337995520).

1442456040 is an abundant number, since it is smaller than the sum of its proper divisors (3233535000).

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

1442456040 is a wasteful number, since it uses less digits than its factorization.

1442456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 1442456040 is about 37979.6793035434. The cubic root of 1442456040 is about 1129.8848761511.

Adding to 1442456040 its reverse (406542441), we get a palindrome (1848998481).

The spelling of 1442456040 in words is "one billion, four hundred forty-two million, four hundred fifty-six thousand, forty".