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1130444040 = 2335114311987
BaseRepresentation
bin100001101100001…
…0011010100001000
32220210010111200210
41003120103110020
54303343202130
6304101201120
740004421135
oct10330232410
92823114623
101130444040
11530119380
122767001a0
1315027cacb
14aa1c558c
156939b5b0
hex43613508

1130444040 has 128 divisors (see below), whose sum is σ = 3710085120. Its totient is φ = 273273600.

The previous prime is 1130444027. The next prime is 1130444059. The reversal of 1130444040 is 404440311.

It is a super-3 number, since 3×11304440403 (a number of 28 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1130443998 and 1130444016.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 567927 + ... + 569913.

It is an arithmetic number, because the mean of its divisors is an integer number (28985040).

Almost surely, 21130444040 is an apocalyptic number.

1130444040 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 1130444040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855042560).

1130444040 is an abundant number, since it is smaller than the sum of its proper divisors (2579641080).

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

1130444040 is a wasteful number, since it uses less digits than its factorization.

1130444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2443 (or 2439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1130444040 is about 33622.0766758985. The cubic root of 1130444040 is about 1041.7168511147.

Adding to 1130444040 its reverse (404440311), we get a palindrome (1534884351).

The spelling of 1130444040 in words is "one billion, one hundred thirty million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 431 440 660 862 1293 1320 1724 1987 2155 2586 3448 3974 4310 4741 5172 5961 6465 7948 8620 9482 9935 10344 11922 12930 14223 15896 17240 18964 19870 21857 23705 23844 25860 28446 29805 37928 39740 43714 47410 47688 51720 56892 59610 65571 71115 79480 87428 94820 109285 113784 119220 131142 142230 174856 189640 218570 238440 262284 284460 327855 437140 524568 568920 655710 856397 874280 1311420 1712794 2569191 2622840 3425588 4281985 5138382 6851176 8563970 9420367 10276764 12845955 17127940 18840734 20553528 25691910 28261101 34255880 37681468 47101835 51383820 56522202 75362936 94203670 102767640 113044404 141305505 188407340 226088808 282611010 376814680 565222020 1130444040