Search a number
-
+
10443444440 = 235111310118077
BaseRepresentation
bin10011011100111101…
…00101000011011000
3222221211011221112112
421232132211003120
5132342010210230
64444143131452
7516540545612
oct115636450330
928854157475
1010443444440
11447a063420
1220355a3b88
13ca5830330
14710dd5db2
15411ca3d95
hex26e7a50d8

10443444440 has 128 divisors (see below), whose sum is σ = 27880614720. Its totient is φ = 3470592000.

The previous prime is 10443444439. The next prime is 10443444481. The reversal of 10443444440 is 4444434401.

10443444440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10443444397 and 10443444406.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 568682 + ... + 586758.

Almost surely, 210443444440 is an apocalyptic number.

10443444440 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 10443444440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13940307360).

10443444440 is an abundant number, since it is smaller than the sum of its proper divisors (17437170280).

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

10443444440 is a wasteful number, since it uses less digits than its factorization.

10443444440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18213 (or 18209 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 10443444440 its reverse (4444434401), we get a palindrome (14887878841).

The spelling of 10443444440 in words is "ten billion, four hundred forty-three million, four hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 101 104 110 130 143 202 220 260 286 404 440 505 520 572 715 808 1010 1111 1144 1313 1430 2020 2222 2626 2860 4040 4444 5252 5555 5720 6565 8888 10504 11110 13130 14443 18077 22220 26260 28886 36154 44440 52520 57772 72215 72308 90385 115544 144430 144616 180770 198847 235001 288860 361540 397694 470002 577720 723080 795388 940004 994235 1175005 1590776 1825777 1880008 1988470 2350010 2585011 3651554 3976940 4700020 5170022 7303108 7953880 9128885 9400040 10340044 12925055 14606216 18257770 20083547 20680088 23735101 25850110 36515540 40167094 47470202 51700220 73031080 80334188 94940404 100417735 103400440 118675505 160668376 189880808 200835470 237351010 261086111 401670940 474702020 522172222 803341880 949404040 1044344444 1305430555 2088688888 2610861110 5221722220 10443444440