2008315131680
2,008,315,131,680 is an even composite number composed of seven prime numbers multiplied together.
What does the number 2008315131680 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 768 divisors.
2008315131680 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 2008315131680:
25 × 5 × 11 × 13 × 293 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 5 × 11 × 13 × 29 × 29 × 29 × 59 × 61)See below for interesting mathematical facts about the number 2008315131680 from the Numbermatics database.
Names of 2008315131680
- Cardinal: 2008315131680 can be written as Two trillion, eight billion, three hundred fifteen million, one hundred thirty-one thousand, six hundred eighty.
Scientific notation
- Scientific notation: 2.00831513168 × 1012
Factors of 2008315131680
Divisors of 2008315131680
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 59 61 65 80 88 104 110 116 118 122 130 143 145 160 176 208 220 232 236 244 260 286 290 295 305 319 352 377 416 440 464 472 488 520 572 580 590 610 638 649 671 715 754 767 793 841 880 928 944 976 1040 1144 1160 1180 1220 1276 1298 1342 1430 1508 1534 1586 1595 1682 1711 1760 1769 1885 1888 1952 2080 2288 2320 2360 2440 2552 2596 2684 2860 3016 3068 3172 3190 3245 3355 3364 3422 3538 3599 3770 3835 3965 4147 4205 4576 4640 4720 4880 5104 5192 5368 5720 6032 6136 6344 6380 6490 6710 6728 6844 7076 7198 7540 7670 7930 8294 8410 8437 8555 8723 8845 9251 9440 9760 10208 10384 10736 10933 11440 12064 12272 12688 12760 12980 13420 13456 13688 14152 14396 15080 15340 15860 16588 16820 16874 17110 17446 17690 17995 18502 18821 19459 20735 20768 21472 21866 22243 22880 22997 24389 24544 25376 25520 25960 26840 26912 27376 28304 28792 30160 30680 31720 33176 33640 33748 34220 34892 35380 35990 37004 37642 38918 39589 41470 42185 43615 43732 44486 45994 46255 46787 48778 49619 51040 51301 51920 53680 54665 54752 56608 57584 60320 61360 63440 66352 67280 67496 68440 69784 70760 71980 74008 75284 77836 79178 82940 84370 87230 87464 88972 91988 92510 93574 94105 97295 97556 99238 102602 103840 104371 107360 109330 111215 114985 115168 120263 121945 122720 126880 132704 134560 134992 136880 139568 141520 143960 148016 150568 155672 158356 165880 168740 174460 174928 177944 183976 185020 187148 188210 194590 195112 197945 198476 205204 208742 218660 222430 229970 233935 240526 243890 244673 248095 252967 256505 268279 269984 273760 279136 283040 287920 296032 301136 311344 316712 317057 331760 337480 348920 349856 355888 367952 370040 374296 376420 389180 390224 395890 396952 410408 417484 437320 444860 459940 467870 481052 487780 489346 496190 505934 513010 514657 521855 536558 545809 564311 575840 601315 602272 622688 633424 634114 645047 663520 666913 674960 697840 711776 735904 740080 748592 752840 778360 780448 791780 793904 820816 834968 874640 889720 919880 935740 962104 975560 978692 992380 1011868 1026020 1029314 1043710 1073116 1091618 1128622 1148081 1202630 1223365 1264835 1266848 1268228 1290094 1333826 1341395 1349920 1356823 1395680 1438951 1480160 1487729 1497184 1505680 1556720 1583560 1585285 1587808 1641632 1669936 1749280 1779440 1839760 1871480 1924208 1951120 1957384 1984760 2023736 2052040 2058628 2087420 2146232 2183236 2257244 2296162 2405260 2446730 2529670 2536456 2573285 2580188 2667652 2682790 2713646 2729045 2821555 2877902 2975458 3011360 3026759 3113440 3167120 3170570 3225235 3334565 3339872 3487627 3558880 3679520 3742960 3848416 3902240 3914768 3969520 4047472 4104080 4117256 4174840 4292464 4366472 4514488 4592324 4810520 4893460 5059340 5072912 5146570 5160376 5335304 5365580 5427292 5458090 5643110 5740405 5755804 5950916 6053518 6334240 6341140 6450470 6669130 6784115 6975254 7095517 7194755 7336043 7438645 7485920 7829536 7939040 8094944 8208160 8234512 8349680 8584928 8732944 9028976 9184648 9621040 9786920 10118680 10145824 10293140 10320752 10670608 10731160 10854584 10916180 11286220 11480810 11511608 11901832 12107036 12682280 12900940 13338260 13568230 13950508 14191034 14389510 14672086 14877290 14925053 15133795 15828461 16365019 16469024 16699360 17438135 17465888 18057952 18369296 18706363 19242080 19340477 19573840 20237360 20586280 20641504 21341216 21462320 21709168 21832360 22572440 22961620 23023216 23803664 24214072 25364560 25801880 26676520 27136460 27901016 28382068 28779020 29344172 29754580 29850106 30267590 31656922 32730038 33294349 34876270 35477585 36680215 36738592 37412726 38680954 39147680 39347867 40474720 41172560 42924640 43418336 43664720 45144880 45923240 46046432 47607328 48428144 50729120 51603760 53353040 54272920 55802032 56764136 57558040 58688344 59509160 59700212 60535180 63313844 65460076 66588698 69752540 70955170 73360430 74625265 74825452 77361908 78695734 79142305 81825095 82345120 87329440 87776011 90289760 91846480 93531815 96702385 96856288 103207520 106706080 108545840 111604064 113528272 115116080 117376688 119018320 119400424 121070360 126627688 130920152 133177396 139505080 141910340 146720860 149250530 149650904 154723816 157391468 158284610 163650190 166471745 175552022 183692960 187063630 193404770 196739335 205769993 212745247 217091680 227056544 230232160 234753376 238036640 238800848 242140720 253255376 261840304 266354792 279010160 283820680 293441720 298501060 299301808 309447632 314782936 316569220 327300380 332943490 351104044 374127260 386809540 393478670 411539986 425490494 432826537 438880055 477601696 484281440 506510752 523680608 532709584 558020320 567641360 586883440 597002120 598603616 618895264 629565872 633138440 654600760 665886980 702208088 748254520 773619080 786957340 823079972 850980988 865653074 877760110 965536121 1028849965 1063726235 1065419168 1135282720 1141088143 1173766880 1194004240 1259131744 1266276880 1309201520 1331773960 1404416176 1496509040 1547238160 1573914680 1646159944 1701961976 1731306148 1755520220 1931072242 2057699930 2127452470 2164132685 2282176286 2388008480 2532553760 2618403040 2663547920 2808832352 2993018080 3094476320 3147829360 3292319888 3403923952 3462612296 3511040440 3862144484 4115399860 4254904940 4328265370 4564352572 4827680605 5327095840 5705440715 6295658720 6584639776 6807847904 6925224592 7022080880 7724288968 8230799720 8509809880 8656530740 9128705144 9655361210 11410881430 12551969573 13850449184 14044161760 15448577936 16461599440 17019619760 17313061480 18257410288 19310722420 22821762860 25103939146 30897155872 32923198880 34039239520 34626122960 36514820576 38621444840 45643525720 50207878292 62759847865 69252245920 77242889680 91287051440 100415756584 125519695730 154485779360 182574102880 200831513168 251039391460 401663026336 502078782920 1004157565840 2008315131680
- Sum of all divisors σ(n): 5967293068800
- Sum of proper divisors (its aliquot sum) s(n): 3958977937120
- 2008315131680 is an abundant number, because the sum of its proper divisors (3958977937120) is greater than itself. Its abundance is 1950662805440
Bases of 2008315131680
- Binary: 111010011100110001110100011110111001000002
- Hexadecimal: 0x1D398E8F720
- Base-36: PMLUZ57K
Squares and roots of 2008315131680
- 2008315131680 squared (20083151316802) is 4033329668134855739622400
- 2008315131680 cubed (20083151316803) is 8100197003569103504717564049477632000
-
The
square root of 2008315131680 is 1417150.3560596525 -
The
cube root of 2008315131680 is 12616.6470391005
Scales and comparisons
How big is 2008315131680?- 2,008,315,131,680 seconds is equal to 63,858 years, 10 weeks, 6 days, 2 hours, 21 minutes, 20 seconds.
-
To count from 1 to 2,008,315,131,680 would take you about one hundred fifty-nine thousand, six hundred forty-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 2008315131680 cubic inches would be around 1051.4 feet tall.
Recreational maths with 2008315131680
- 2008315131680 backwards is 0861315138002
- The number of decimal digits it has is: 13
- The sum of 2008315131680's digits is 38
- More coming soon!
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The information we have on file for 2008315131680 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!
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