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1442500000 = 2557577
BaseRepresentation
bin101010111111010…
…1100110110100000
310201112022120222221
41111332230312200
510423240000000
6355045440424
750514022234
oct12576546640
93645276887
101442500000
11680287667
12343110114
1319cb0c1c6
14d98165c4
158698c61a
hex55facda0

1442500000 has 96 divisors (see below), whose sum is σ = 3556045584. Its totient is φ = 576000000.

The previous prime is 1442499977. The next prime is 1442500013. The reversal of 1442500000 is 52441.

It can be written as a sum of positive squares in 8 ways, for example, as 928299024 + 514200976 = 30468^2 + 22676^2 .

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2499712 + ... + 2500288.

Almost surely, 21442500000 is an apocalyptic number.

1442500000 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 1442500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778022792).

1442500000 is an abundant number, since it is smaller than the sum of its proper divisors (2113545584).

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

1442500000 is an frugal number, since it uses more digits than its factorization.

1442500000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 1442500000 is about 37980.2580296659. The cubic root of 1442500000 is about 1129.8963540826.

Adding to 1442500000 its reverse (52441), we get a palindrome (1442552441).

The spelling of 1442500000 in words is "one billion, four hundred forty-two million, five hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 577 625 800 1000 1154 1250 2000 2308 2500 2885 3125 4000 4616 5000 5770 6250 9232 10000 11540 12500 14425 15625 18464 20000 23080 25000 28850 31250 46160 50000 57700 62500 72125 78125 92320 100000 115400 125000 144250 156250 230800 250000 288500 312500 360625 461600 500000 577000 625000 721250 1154000 1250000 1442500 1803125 2308000 2500000 2885000 3606250 5770000 7212500 9015625 11540000 14425000 18031250 28850000 36062500 45078125 57700000 72125000 90156250 144250000 180312500 288500000 360625000 721250000 1442500000