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1442327040 = 29335711271
BaseRepresentation
bin101010111111000…
…0010101000000000
310201111222210202000
41111332002220000
510423213431130
6355042024000
750512402050
oct12576025000
93644883660
101442327040
11680179720
12343048000
1319ca7b56b
14d97ad560
1586956260
hex55f82a00

1442327040 has 640 divisors, whose sum is σ = 6411018240. Its totient is φ = 298598400.

The previous prime is 1442326981. The next prime is 1442327041. The reversal of 1442327040 is 407232441.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1442326995 and 1442327013.

It is not an unprimeable number, because it can be changed into a prime (1442327041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5322105 + ... + 5322375.

It is an arithmetic number, because the mean of its divisors is an integer number (10017216).

Almost surely, 21442327040 is an apocalyptic number.

1442327040 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 1442327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205509120).

1442327040 is an abundant number, since it is smaller than the sum of its proper divisors (4968691200).

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

1442327040 is a wasteful number, since it uses less digits than its factorization.

1442327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 1442327040 is about 37977.9809889889. The cubic root of 1442327040 is about 1129.8511929769.

Adding to 1442327040 its reverse (407232441), we get a palindrome (1849559481).

The spelling of 1442327040 in words is "one billion, four hundred forty-two million, three hundred twenty-seven thousand, forty".