Search a number
-
+
105443444435 = 5717837872713
BaseRepresentation
bin110001000110011101…
…0110100011011010011
3101002011112102222012212
41202030322310123103
53211422010210220
6120235014542335
710421662326620
oct1421472643323
9332145388185
10105443444435
114079a09150a
12185289679ab
139c354b1194
145163d95347
152b220870c5
hex188ceb46d3

105443444435 has 64 divisors (see below), whose sum is σ = 155213356032. Its totient is φ = 67120828416.

The previous prime is 105443444417. The next prime is 105443444459. The reversal of 105443444435 is 534444344501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105443444435 is a prime.

It is a super-2 number, since 2×1054434444352 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105443444392 and 105443444401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38864639 + ... + 38867351.

It is an arithmetic number, because the mean of its divisors is an integer number (2425208688).

Almost surely, 2105443444435 is an apocalyptic number.

105443444435 is a deficient number, since it is larger than the sum of its proper divisors (49769911597).

105443444435 is a wasteful number, since it uses less digits than its factorization.

105443444435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612.

The product of its (nonzero) digits is 921600, while the sum is 41.

Adding to 105443444435 its reverse (534444344501), we get a palindrome (639887788936).

The spelling of 105443444435 in words is "one hundred five billion, four hundred forty-three million, four hundred forty-four thousand, four hundred thirty-five".

Divisors: 1 5 7 17 35 83 85 119 415 581 595 787 1411 2713 2905 3935 5509 7055 9877 13379 13565 18991 27545 46121 49385 65321 66895 93653 94955 225179 230605 322847 326605 457247 468265 1110457 1125895 1576253 1614235 2135131 2286235 3828043 5552285 7773199 7881265 10675655 14945917 19140215 26796301 36297227 38865995 74729585 133981505 177215873 181486135 254080589 886079365 1240511111 1270402945 3012669841 6202555555 15063349205 21088688887 105443444435