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1442010112 = 2105872399
BaseRepresentation
bin101010111110011…
…0101010000000000
310201111101200222221
41111330311100000
510423123310422
6355031140424
750506612054
oct12574652000
93644350887
101442010112
1167aa825a4
12342b14714
1319c99a22a
14d9729c64
15868e23c7
hex55f35400

1442010112 has 44 divisors (see below), whose sum is σ = 2888726400. Its totient is φ = 719476736.

The previous prime is 1442010107. The next prime is 1442010121. The reversal of 1442010112 is 2110102441.

It is a happy number.

It is a super-2 number, since 2×14420101122 = 4158786326220505088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 599889 + ... + 602287.

Almost surely, 21442010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1444363200).

1442010112 is an abundant number, since it is smaller than the sum of its proper divisors (1446716288).

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

1442010112 is an equidigital number, since it uses as much as digits as its factorization.

1442010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3006 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1442010112 is about 37973.8082367307. The cubic root of 1442010112 is about 1129.7684314165.

Adding to 1442010112 its reverse (2110102441), we get a palindrome (3552112553).

The spelling of 1442010112 in words is "one billion, four hundred forty-two million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 512 587 1024 1174 2348 2399 4696 4798 9392 9596 18784 19192 37568 38384 75136 76768 150272 153536 300544 307072 601088 614144 1228288 1408213 2456576 2816426 5632852 11265704 22531408 45062816 90125632 180251264 360502528 721005056 1442010112