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115512510111440 = 245133071099332911
BaseRepresentation
bin11010010000111011011010…
…001000011101111011010000
3120010222212222102212010110112
4122100323122020131323100
5110120024110042031230
61045401414202420452
733221334453404441
oct3220733210357320
9503885872763415
10115512510111440
113389564260a022
1210b57121b01728
134c5ba242305a0
142074b9a1932c8
15d54b2ae9bd95
hex690eda21ded0

115512510111440 has 160 divisors (see below), whose sum is σ = 290202870160896. Its totient is φ = 42506686586880.

The previous prime is 115512510111433. The next prime is 115512510111461. The reversal of 115512510111440 is 44111015215511.

It is a junction number, because it is equal to n+sod(n) for n = 115512510111397 and 115512510111406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3509828585 + ... + 3509861495.

Almost surely, 2115512510111440 is an apocalyptic number.

115512510111440 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 115512510111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145101435080448).

115512510111440 is an abundant number, since it is smaller than the sum of its proper divisors (174690360049456).

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

115512510111440 is a wasteful number, since it uses less digits than its factorization.

115512510111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44237 (or 44231 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 32.

Adding to 115512510111440 its reverse (44111015215511), we get a palindrome (159623525326951).

The spelling of 115512510111440 in words is "one hundred fifteen trillion, five hundred twelve billion, five hundred ten million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 307 520 614 1040 1228 1535 2456 3070 3991 4912 6140 7982 10993 12280 15964 19955 21986 24560 31928 32911 39910 43972 54965 63856 65822 79820 87944 109930 131644 142909 159640 164555 175888 219860 263288 285818 319280 329110 427843 439720 526576 571636 658220 714545 855686 879440 1143272 1316440 1429090 1711372 2139215 2286544 2632880 2858180 3374851 3422744 4278430 5716360 6749702 6845488 8556860 10103677 11432720 13499404 16874255 17113720 20207354 26998808 33748510 34227440 40414708 43873063 50518385 53997616 67497020 80829416 87746126 101036770 131347801 134994040 161658832 175492252 202073540 219365315 262695602 269988080 350984504 361790623 404147080 438730630 525391204 656739005 701969008 723581246 808294160 877461260 1050782408 1313478010 1447162492 1754922520 1808953115 2101564816 2626956020 2894324984 3509845040 3617906230 4703278099 5253912040 5788649968 7235812460 9406556198 10507824080 14471624920 18813112396 23516390495 28943249840 37626224792 47032780990 75252449584 94065561980 111069721261 188131123960 222139442522 376262247920 444278885044 555348606305 888557770088 1110697212610 1443906376393 1777115540176 2221394425220 2887812752786 4442788850440 5775625505572 7219531881965 8885577700880 11551251011144 14439063763930 23102502022288 28878127527860 57756255055720 115512510111440