Search a number
-
+
1442443440 = 243544313567
BaseRepresentation
bin101010111111001…
…1111000010110000
310201112012201102010
41111332133002300
510423231142230
6355044322520
750513365314
oct12576370260
93645181363
101442443440
11680249119
123430a3440
1319cabc539
14d97ddb44
158697a9b0
hex55f9f0b0

1442443440 has 80 divisors (see below), whose sum is σ = 4481998848. Its totient is φ = 383755008.

The previous prime is 1442443439. The next prime is 1442443451. The reversal of 1442443440 is 443442441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1442443398 and 1442443407.

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, 99537 + ... + 113103.

Almost surely, 21442443440 is an apocalyptic number.

1442443440 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 1442443440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2240999424).

1442443440 is an abundant number, since it is smaller than the sum of its proper divisors (3039555408).

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

1442443440 is a wasteful number, since it uses less digits than its factorization.

1442443440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14026 (or 14020 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

The square root of 1442443440 is about 37979.5134250032. The cubic root of 1442443440 is about 1129.8815862552.

Adding to 1442443440 its reverse (443442441), we get a palindrome (1885885881).

Subtracting from 1442443440 its reverse (443442441), we obtain a palindrome (999000999).

The spelling of 1442443440 in words is "one billion, four hundred forty-two million, four hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 443 886 1329 1772 2215 2658 3544 4430 5316 6645 7088 8860 10632 13290 13567 17720 21264 26580 27134 35440 40701 53160 54268 67835 81402 106320 108536 135670 162804 203505 217072 271340 325608 407010 542680 651216 814020 1085360 1628040 3256080 6010181 12020362 18030543 24040724 30050905 36061086 48081448 60101810 72122172 90152715 96162896 120203620 144244344 180305430 240407240 288488688 360610860 480814480 721221720 1442443440