1138046085120
1,138,046,085,120 is an even composite number composed of seven prime numbers multiplied together.
1138046085120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 1138046085120:
211 × 3 × 5 × 7 × 17 × 193 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 17 × 193 × 1613)See below for interesting mathematical facts about the number 1138046085120 from the Numbermatics database.
Names of 1138046085120
- Cardinal: 1138046085120 can be written as One trillion, one hundred thirty-eight billion, forty-six million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.13804608512 × 1012
Factors of 1138046085120
Divisors of 1138046085120
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 32 34 35 40 42 48 51 56 60 64 68 70 80 84 85 96 102 105 112 119 120 128 136 140 160 168 170 192 193 204 210 224 238 240 255 256 272 280 320 336 340 357 384 386 408 420 448 476 480 510 512 544 560 579 595 640 672 680 714 768 772 816 840 896 952 960 965 1020 1024 1088 1120 1158 1190 1280 1344 1351 1360 1428 1536 1544 1613 1632 1680 1785 1792 1904 1920 1930 2040 2048 2176 2240 2316 2380 2560 2688 2702 2720 2856 2895 3072 3088 3226 3264 3281 3360 3570 3584 3808 3840 3860 4053 4080 4352 4480 4632 4760 4839 5120 5376 5404 5440 5712 5790 6144 6176 6452 6528 6562 6720 6755 7140 7168 7616 7680 7720 8065 8106 8160 8704 8960 9264 9520 9678 9843 10240 10752 10808 10880 11291 11424 11580 12352 12904 13056 13124 13440 13510 14280 14336 15232 15360 15440 16130 16212 16320 16405 17408 17920 18528 19040 19356 19686 20265 21504 21616 21760 22582 22848 22967 23160 24195 24704 25808 26112 26248 26880 27020 27421 28560 30464 30720 30880 32260 32424 32640 32810 33873 34816 35840 37056 38080 38712 39372 40530 43008 43232 43520 45164 45696 45934 46320 48390 49215 49408 51616 52224 52496 53760 54040 54842 56455 57120 60928 61760 64520 64848 65280 65620 67746 68901 71680 74112 76160 77424 78744 81060 82263 86464 87040 90328 91392 91868 92640 96780 98430 98816 103232 104448 104992 107520 108080 109684 112910 114240 114835 121856 123520 129040 129696 130560 131240 135492 137105 137802 148224 152320 154848 157488 162120 164526 169365 172928 174080 180656 182784 183736 185280 191947 193560 196860 197632 206464 209984 215040 216160 219368 225820 228480 229670 243712 247040 258080 259392 261120 262480 270984 274210 275604 296448 304640 309696 311309 314976 324240 329052 338730 344505 345856 361312 365568 367472 370560 383894 387120 393720 395264 411315 412928 419968 432320 438736 451640 456960 459340 494080 516160 518784 522240 524960 541968 548420 551208 575841 592896 609280 619392 622618 629952 648480 658104 677460 689010 691712 722624 731136 734944 741120 767788 774240 787440 822630 825856 839936 864640 877472 903280 913920 918680 933927 959735 988160 1032320 1037568 1049920 1083936 1096840 1102416 1151682 1185792 1218560 1238784 1245236 1259904 1296960 1316208 1354920 1378020 1383424 1445248 1469888 1482240 1535576 1548480 1556545 1574880 1645260 1651712 1679872 1729280 1754944 1806560 1827840 1837360 1867854 1919470 1976320 2064640 2075136 2099840 2167872 2179163 2193680 2204832 2303364 2477568 2490472 2519808 2593920 2632416 2709840 2756040 2766848 2879205 2890496 2939776 2964480 3071152 3096960 3113090 3149760 3290520 3303424 3359744 3458560 3509888 3613120 3655680 3674720 3735708 3838940 4129280 4150272 4199680 4335744 4358326 4387360 4409664 4606728 4669635 4955136 4980944 5039616 5187840 5264832 5292253 5419680 5512080 5758410 5780992 5879552 5928960 6142304 6193920 6226180 6299520 6537489 6581040 6719488 6917120 7019776 7226240 7349440 7471416 7677880 8258560 8300544 8399360 8671488 8716652 8774720 8819328 9213456 9339270 9910272 9961888 10079232 10375680 10529664 10584506 10839360 10895815 11024160 11516820 11561984 11759104 12284608 12387840 12452360 12599040 13074978 13162080 13834240 14039552 14452480 14698880 14942832 15355760 15876759 16517120 16798720 17342976 17433304 17549440 17638656 18426912 18678540 19923776 20158464 20751360 21059328 21169012 21678720 21791630 22048320 23033640 23123968 23518208 24569216 24775680 24904720 25198080 26149956 26324160 26461265 28079104 28904960 29397760 29885664 30711520 31753518 32687445 33597440 34685952 34866608 35098880 35277312 36853824 37045771 37357080 39847552 41502720 42118656 42338024 43357440 43583260 44096640 46067280 47036416 49138432 49551360 49809440 50396160 52299912 52648320 52922530 56158208 57809920 58795520 59771328 61423040 63507036 65374890 69371904 69733216 70197760 70554624 73707648 74091542 74714160 79383795 79695104 84237312 84676048 86714880 87166520 88193280 92134560 98276864 99618880 100792320 104599824 105296640 105845060 111137313 115619840 117591040 119542656 122846080 127014072 130749780 139466432 140395520 141109248 147415296 148183084 149428320 158767590 159390208 168474624 169352096 173429760 174333040 176386560 184269120 185228855 196553728 199237760 209199648 210593280 211690120 222274626 235182080 239085312 245692160 254028144 261499560 278932864 280791040 294830592 296366168 298856640 317535180 318780416 338704192 346859520 348666080 352773120 368538240 370457710 393107456 398475520 418399296 421186560 423380240 444549252 478170624 491384320 508056288 522999120 555686565 557865728 589661184 592732336 597713280 635070360 637560832 677408384 697332160 705546240 737076480 740915420 796951040 836798592 842373120 846760480 889098504 956341248 982768640 1016112576 1045998240 1111373130 1115731456 1179322368 1185464672 1195426560 1270140720 1354816768 1394664320 1474152960 1481830840 1593902080 1673597184 1693520960 1778197008 1912682496 1965537280 2032225152 2091996480 2222746260 2231462912 2370929344 2390853120 2540281440 2709633536 2789328640 2948305920 2963661680 3187804160 3347194368 3387041920 3556394016 4064450304 4183992960 4445492520 4462925824 4741858688 4781706240 5080562880 5419267072 5578657280 5896611840 5927323360 6694388736 6774083840 7112788032 8128900608 8367985920 8890985040 9483717376 9563412480 10161125760 10838534144 11157314560 11854646720 13388777472 13548167680 14225576064 16257801216 16735971840 17781970080 18967434752 20322251520 22314629120 23709293440 27096335360 28451152128 32515602432 33471943680 35563940160 37934869504 40644503040 47418586880 54192670720 56902304256 66943887360 71127880320 75869739008 81289006080 94837173760 113804608512 142255760640 162578012160 189674347520 227609217024 284511521280 379348695040 569023042560 1138046085120
- Sum of all divisors σ(n): 4431317829120
- Sum of proper divisors (its aliquot sum) s(n): 3293271744000
- 1138046085120 is an abundant number, because the sum of its proper divisors (3293271744000) is greater than itself. Its abundance is 2155225658880
Bases of 1138046085120
- Binary: 100001000111110001101010100101000000000002
- Hexadecimal: 0x108F8D52800
- Base-36: EIT7979C
Squares and roots of 1138046085120
- 1138046085120 squared (11380460851202) is 1295148891856958285414400
- 1138046085120 cubed (11380460851203) is 1473939126025317623747005516873728000
-
The
square root of 1138046085120 is 1066792.4283195863 -
The
cube root of 1138046085120 is 10440.4675940359
Scales and comparisons
How big is 1138046085120?- 1,138,046,085,120 seconds is equal to 36,186 years, 17 weeks, 6 days, 16 hours, 32 minutes.
-
To count from 1 to 1,138,046,085,120 would take you about ninety thousand, four hundred sixty-five years!
This is a very rough estimate, based on a speaking rate of half a second every third order of magnitude. If you speak quickly, you could probably say any randomly-chosen number between one and a thousand in around half a second. Very big numbers obviously take longer to say, so we add half a second for every extra x1000. (We do not count involuntary pauses, bathroom breaks or the necessity of sleep in our calculation!)
- A cube with a volume of 1138046085120 cubic inches would be around 870 feet tall.
Recreational maths with 1138046085120
- 1138046085120 backwards is 0215806408311
- The number of decimal digits it has is: 13
- The sum of 1138046085120's digits is 39
- More coming soon!
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