968086080
968,086,080 is an even composite number composed of five prime numbers multiplied together.
968086080 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred sixty divisors.
Prime factorization of 968086080:
26 × 34 × 5 × 133 × 17
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 13 × 13 × 13 × 17)See below for interesting mathematical facts about the number 968086080 from the Numbermatics database.
Names of 968086080
- Cardinal: 968086080 can be written as Nine hundred sixty-eight million, eighty-six thousand and eighty.
Scientific notation
- Scientific notation: 9.6808608 × 108
Factors of 968086080
Divisors of 968086080
- Number of divisors d(n): 560
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 17 18 20 24 26 27 30 32 34 36 39 40 45 48 51 52 54 60 64 65 68 72 78 80 81 85 90 96 102 104 108 117 120 130 135 136 144 153 156 160 162 169 170 180 192 195 204 208 216 221 234 240 255 260 270 272 288 306 312 320 324 338 340 351 360 390 405 408 416 432 442 459 468 480 507 510 520 540 544 576 585 612 624 648 663 676 680 702 720 765 780 810 816 832 845 864 884 918 936 960 1014 1020 1040 1053 1080 1088 1105 1170 1224 1248 1296 1326 1352 1360 1377 1404 1440 1521 1530 1560 1620 1632 1690 1728 1755 1768 1836 1872 1989 2028 2040 2080 2106 2160 2197 2210 2295 2340 2448 2496 2535 2592 2652 2704 2720 2754 2808 2873 2880 3042 3060 3120 3240 3264 3315 3380 3510 3536 3672 3744 3978 4056 4080 4160 4212 4320 4394 4420 4563 4590 4680 4896 5070 5184 5265 5304 5408 5440 5508 5616 5746 5967 6084 6120 6240 6480 6591 6630 6760 6885 7020 7072 7344 7488 7605 7956 8112 8160 8424 8619 8640 8788 8840 9126 9180 9360 9792 9945 10140 10530 10608 10816 10985 11016 11232 11492 11934 12168 12240 12480 12960 13182 13260 13520 13689 13770 14040 14144 14365 14688 15210 15912 16224 16320 16848 17238 17576 17680 17901 18252 18360 18720 19773 19890 20280 21060 21216 21970 22032 22464 22815 22984 23868 24336 24480 25857 25920 26364 26520 27040 27378 27540 28080 28730 29376 29835 30420 31824 32448 32955 33696 34476 35152 35360 35802 36504 36720 37349 37440 39546 39780 40560 42120 42432 43095 43940 44064 45630 45968 47736 48672 48960 51714 52728 53040 54080 54756 55080 56160 57460 59319 59670 60840 63648 65910 67392 68445 68952 70304 70720 71604 73008 73440 74698 77571 79092 79560 81120 84240 86190 87880 88128 89505 91260 91936 95472 97344 98865 103428 105456 106080 109512 110160 112047 112320 114920 118638 119340 121680 127296 129285 131820 136890 137904 140608 143208 146016 146880 149396 155142 158184 159120 162240 168480 172380 175760 177957 179010 182520 183872 186745 190944 197730 206856 210912 212160 219024 220320 224094 229840 232713 237276 238680 243360 258570 263640 273780 275808 286416 292032 296595 298792 310284 316368 318240 336141 336960 344760 351520 355914 358020 365040 373490 381888 387855 395460 413712 421824 438048 440640 448188 459680 465426 474552 477360 486720 517140 527280 547560 551616 560235 572832 593190 597584 620568 632736 636480 672282 689520 703040 711828 716040 730080 746980 775710 790920 827424 876096 889785 896376 919360 930852 949104 954720 1008423 1034280 1054560 1095120 1120470 1145664 1163565 1186380 1195168 1241136 1265472 1344564 1379040 1423656 1432080 1460160 1493960 1551420 1581840 1654848 1680705 1779570 1792752 1861704 1898208 1909440 2016846 2068560 2109120 2190240 2240940 2327130 2372760 2390336 2482272 2689128 2758080 2847312 2864160 2987920 3025269 3102840 3163680 3361410 3559140 3585504 3723408 3796416 4033692 4137120 4380480 4481880 4654260 4745520 4964544 5042115 5378256 5694624 5728320 5975840 6050538 6205680 6327360 6722820 7118280 7171008 7446816 8067384 8274240 8963760 9308520 9491040 10084230 10756512 11389248 11951680 12101076 12411360 13445640 14236560 14893632 15126345 16134768 17927520 18617040 18982080 20168460 21513024 24202152 24822720 26891280 28473120 30252690 32269536 35855040 37234080 40336920 48404304 53782560 56946240 60505380 64539072 74468160 80673840 96808608 107565120 121010760 161347680 193617216 242021520 322695360 484043040 968086080
- Sum of all divisors σ(n): 3949933680
- Sum of proper divisors (its aliquot sum) s(n): 2981847600
- 968086080 is an abundant number, because the sum of its proper divisors (2981847600) is greater than itself. Its abundance is 2013761520
Bases of 968086080
- Binary: 1110011011001111010010010000002
- Hexadecimal: 0x39B3D240
- Base-36: G0DG00
Squares and roots of 968086080
- 968086080 squared (9680860802) is 937190658289766400
- 968086080 cubed (9680860803) is 907281230596359458291712000
-
The
square root of 968086080 is 31114.0816994493 -
The
cube root of 968086080 is 989.2468100401
Scales and comparisons
How big is 968086080?- 968,086,080 seconds is equal to 30 years, 40 weeks, 4 days, 16 hours, 48 minutes.
-
To count from 1 to 968,086,080 would take you about forty-six 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 968086080 cubic inches would be around 82.4 feet tall.
Recreational maths with 968086080
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 968086080 - Facts about the integer". Numbermatics.com. 2024. Web. 29 April 2024.
APA style:
Numbermatics. (2024). Number 968086080 - Facts about the integer. Retrieved 29 April 2024, from https://numbermatics.com/n/968086080/
Chicago style:
Numbermatics. 2024. "Number 968086080 - Facts about the integer". https://numbermatics.com/n/968086080/
The information we have on file for 968086080 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
Keywords: Divisors of 968086080, math, Factors of 968086080, curriculum, school, college, exams, university, Prime factorization of 968086080, STEM, science, technology, engineering, physics, economics, calculator, nine hundred sixty-eight million, eighty-six thousand and eighty.