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1442206440 = 233254006129
BaseRepresentation
bin101010111110110…
…0101001011101000
310201111202200022100
41111331211023220
510423201101230
6355035253400
750511360333
oct12575451350
93644680270
101442206440
116800a7054
12342baa260
1319ca386bc
14d977b61a
1586930660
hex55f652e8

1442206440 has 48 divisors (see below), whose sum is σ = 4687172100. Its totient is φ = 384588288.

The previous prime is 1442206433. The next prime is 1442206477. The reversal of 1442206440 is 446022441.

It is a happy number.

1442206440 is a `hidden beast` number, since 14 + 4 + 2 + 2 + 0 + 644 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1392334596 + 49871844 = 37314^2 + 7062^2 .

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 11 ways as a sum of consecutive naturals, for example, 2002705 + ... + 2003424.

Almost surely, 21442206440 is an apocalyptic number.

1442206440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1442206440 is an abundant number, since it is smaller than the sum of its proper divisors (3244965660).

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

1442206440 is a wasteful number, since it uses less digits than its factorization.

1442206440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006146 (or 4006139 counting only the distinct ones).

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

The square root of 1442206440 is about 37976.3931936670. The cubic root of 1442206440 is about 1129.8197013092.

Adding to 1442206440 its reverse (446022441), we get a palindrome (1888228881).

The spelling of 1442206440 in words is "one billion, four hundred forty-two million, two hundred six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 4006129 8012258 12018387 16024516 20030645 24036774 32049032 36055161 40061290 48073548 60091935 72110322 80122580 96147096 120183870 144220644 160245160 180275805 240367740 288441288 360551610 480735480 721103220 1442206440