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4105044162 = 23217137181541
BaseRepresentation
bin1111010010101110…
…0000000011000010
3101121002100211221200
43310223200003002
531401342403122
61515201202030
7203504204532
oct36453400302
911532324850
104105044162
11181721048a
12966930316
1350561011b
142ad2994c2
151905c45ac
hexf4ae00c2

4105044162 has 96 divisors (see below), whose sum is σ = 9556236144. Its totient is φ = 1269043200.

The previous prime is 4105044137. The next prime is 4105044197. The reversal of 4105044162 is 2614405014.

4105044162 is a `hidden beast` number, since 410 + 50 + 44 + 162 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1252522881 + 2852521281 = 35391^2 + 53409^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7587612 + ... + 7588152.

Almost surely, 24105044162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105044162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4778118072).

4105044162 is an abundant number, since it is smaller than the sum of its proper divisors (5451191982).

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

4105044162 is a wasteful number, since it uses less digits than its factorization.

4105044162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 4105044162 is about 64070.6185548415. The cubic root of 4105044162 is about 1601.1767595713.

Adding to 4105044162 its reverse (2614405014), we get a palindrome (6719449176).

The spelling of 4105044162 in words is "four billion, one hundred five million, forty-four thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 181 274 306 362 411 541 543 822 1082 1086 1233 1623 1629 2329 2466 3077 3246 3258 4658 4869 6154 6987 9197 9231 9738 13974 18394 18462 20961 24797 27591 27693 41922 49594 55182 55386 74117 74391 82773 97921 148234 148782 165546 195842 222351 223173 293763 421549 444702 446346 587526 667053 843098 881289 1259989 1264647 1334106 1664657 1762578 2519978 2529294 3329314 3779967 3793941 4993971 7559934 7587882 9987942 11339901 13415177 14981913 22679802 26830354 29963826 40245531 80491062 120736593 228058009 241473186 456116018 684174027 1368348054 2052522081 4105044162