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4105104444 = 22327173130911
BaseRepresentation
bin1111010010101110…
…1110110000111100
3101121002110220122100
43310223232300330
531401401320234
61515202345100
7203504545350
oct36453566074
911532426570
104105104444
111817251801
1296695b190
135056316ac
142ad2b3460
151905d7399
hexf4aeec3c

4105104444 has 144 divisors (see below), whose sum is σ = 12962267136. Its totient is φ = 1068249600.

The previous prime is 4105104401. The next prime is 4105104457. The reversal of 4105104444 is 4444015014.

It is a super-2 number, since 2×41051044442 = 33703764992297098272, which contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 117349 + ... + 148259.

It is an arithmetic number, because the mean of its divisors is an integer number (90015744).

Almost surely, 24105104444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105104444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6481133568).

4105104444 is an abundant number, since it is smaller than the sum of its proper divisors (8857162692).

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

4105104444 is a wasteful number, since it uses less digits than its factorization.

4105104444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30976 (or 30971 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4105104444 is about 64071.0889871555. The cubic root of 4105104444 is about 1601.1845972186.

Adding to 4105104444 its reverse (4444015014), we get a palindrome (8549119458).

The spelling of 4105104444 in words is "four billion, one hundred five million, one hundred four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 11067 14756 18972 22134 30911 33201 44268 61822 66402 92733 123644 132804 185466 216377 278199 370932 432754 525487 556398 649131 865508 958241 1050974 1112796 1298262 1576461 1916482 1947393 2101948 2596524 2874723 3152922 3678409 3832964 3894786 4729383 5749446 6305844 6707687 7356818 7789572 8624169 9458766 11035227 11498892 13415374 14713636 16290097 17248338 18917532 20123061 22070454 26830748 32580194 33105681 34496676 40246122 44140908 48870291 60369183 65160388 66211362 80492244 97740582 114030679 120738366 132422724 146610873 195481164 228061358 241476732 293221746 342092037 456122716 586443492 684184074 1026276111 1368368148 2052552222 4105104444