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1442314440 = 2332575310799
BaseRepresentation
bin101010111110111…
…1111100011001000
310201111222011110100
41111331333203020
510423213030230
6355041445400
750512320240
oct12575774310
93644864410
101442314440
11680170206
12343040860
1319ca758c8
14d97a8b20
1586952660
hex55f7f8c8

1442314440 has 192 divisors, whose sum is σ = 5458752000. Its totient is φ = 323421696.

The previous prime is 1442314417. The next prime is 1442314481. The reversal of 1442314440 is 444132441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128161 + ... + 138959.

It is an arithmetic number, because the mean of its divisors is an integer number (28431000).

Almost surely, 21442314440 is an apocalyptic number.

1442314440 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 1442314440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2729376000).

1442314440 is an abundant number, since it is smaller than the sum of its proper divisors (4016437560).

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

1442314440 is a wasteful number, since it uses less digits than its factorization.

1442314440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10876 (or 10869 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 1442314440 is about 37977.8151030309. The cubic root of 1442314440 is about 1129.8479028848.

Adding to 1442314440 its reverse (444132441), we get a palindrome (1886446881).

The spelling of 1442314440 in words is "one billion, four hundred forty-two million, three hundred fourteen thousand, four hundred forty".