6480715413120
6,480,715,413,120 is an even composite number composed of seven prime numbers multiplied together.
6480715413120 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 6480715413120:
27 × 3 × 5 × 132 × 29 × 151 × 4561
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 13 × 13 × 29 × 151 × 4561)See below for interesting mathematical facts about the number 6480715413120 from the Numbermatics database.
Names of 6480715413120
- Cardinal: 6480715413120 can be written as Six trillion, four hundred eighty billion, seven hundred fifteen million, four hundred thirteen thousand, one hundred twenty.
Scientific notation
- Scientific notation: 6.48071541312 × 1012
Factors of 6480715413120
Divisors of 6480715413120
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 29 30 32 39 40 48 52 58 60 64 65 78 80 87 96 104 116 120 128 130 145 151 156 160 169 174 192 195 208 232 240 260 290 302 312 320 338 348 377 384 390 416 435 453 464 480 507 520 580 604 624 640 676 696 754 755 780 832 845 870 906 928 960 1014 1040 1131 1160 1208 1248 1352 1392 1508 1510 1560 1664 1690 1740 1812 1856 1885 1920 1963 2028 2080 2262 2265 2320 2416 2496 2535 2704 2784 3016 3020 3120 3380 3480 3624 3712 3770 3926 4056 4160 4379 4524 4530 4561 4640 4832 4901 4992 5070 5408 5568 5655 5889 6032 6040 6240 6760 6960 7248 7540 7852 8112 8320 8758 9048 9060 9122 9280 9664 9802 9815 10140 10816 11136 11310 11778 12064 12080 12480 13137 13520 13683 13920 14496 14703 15080 15704 16224 17516 18096 18120 18244 18560 19328 19604 19630 20280 21632 21895 22620 22805 23556 24128 24160 24505 24960 25519 26274 27040 27366 27840 28992 29406 29445 30160 31408 32448 35032 36192 36240 36488 39208 39260 40560 43790 45240 45610 47112 48256 48320 49010 51038 52548 54080 54732 55680 56927 57984 58812 58890 59293 60320 62816 64896 65685 68415 70064 72384 72480 72976 73515 76557 78416 78520 81120 87580 90480 91220 94224 96640 98020 102076 105096 108160 109464 113854 117624 117780 118586 120640 125632 127595 131370 132269 136830 140128 144768 144960 145952 147030 153114 156832 157040 162240 170781 175160 177879 180960 182440 188448 196040 204152 210192 218928 227708 235248 235560 237172 241280 251264 255190 262740 264538 273660 280256 284635 289920 291904 294060 296465 306228 313664 314080 324480 341562 350320 355758 361920 364880 376896 382785 392080 396807 408304 420384 437856 455416 470496 471120 474344 510380 525480 529076 547320 560512 569270 583808 588120 592930 612456 627328 628160 661345 683124 688711 700640 711516 723840 729760 740051 753792 765570 770809 784160 793614 816608 840768 853905 875712 889395 910832 940992 942240 948688 1020760 1050960 1058152 1094640 1138540 1176240 1185860 1224912 1256320 1322690 1366248 1377422 1401280 1423032 1459520 1480102 1531140 1541618 1568320 1587228 1633216 1681536 1707810 1719497 1751424 1778790 1821664 1881984 1884480 1897376 1984035 2041520 2066133 2101920 2116304 2189280 2220153 2277080 2312427 2352480 2371720 2449824 2645380 2732496 2754844 2802560 2846064 2919040 2960204 3062280 3083236 3136640 3174456 3266432 3415620 3438994 3443555 3557580 3643328 3700255 3768960 3794752 3854045 3968070 4083040 4132266 4203840 4232608 4378560 4440306 4554160 4624854 4704960 4743440 4899648 5158491 5290760 5464992 5509688 5692128 5920408 6124560 6166472 6348912 6831240 6877988 6887110 7115160 7286656 7400510 7589504 7708090 7936140 8166080 8264532 8407680 8465216 8597485 8757120 8880612 8953243 9108320 9249708 9409920 9486880 9799296 10316982 10330665 10581520 10929984 11019376 11100765 11384256 11562135 11840816 12249120 12332944 12697824 13662480 13755976 13774220 14230320 14801020 15416180 15872280 16332160 16529064 16930432 17194970 17761224 17906486 18216640 18499416 18973760 19972619 20633964 20661330 21163040 21859968 22038752 22201530 22353461 22768512 23124270 23681632 24498240 24665888 25395648 25792455 26859729 27324960 27511952 27548440 28460640 29602040 30832360 31744560 33058128 34389940 35522448 35812972 36433280 36998832 37947520 39945238 41267928 41322660 42326080 44077504 44403060 44706922 44766215 46248540 47363264 48996480 49331776 50791296 51584910 53719458 54649920 55023904 55096880 56921280 59204080 59917857 61664720 63489120 66116256 67060383 68779880 71044896 71625944 73997664 79890476 82535856 82645320 84652160 88155008 88806120 89413844 89532430 92497080 94726528 98663552 99863095 103169820 107438916 109299840 110047808 110193760 111767305 113842560 116392159 118408160 119835714 123329440 126978240 132232512 134120766 134298645 137559760 142089792 143251888 147995328 159780952 165071712 165290640 177612240 178827688 179064860 184994160 199726190 206339640 214877832 220095616 220387520 223534610 232784318 236816320 239671428 246658880 253956480 259644047 264465024 268241532 268597290 275119520 284179584 286503776 295990656 299589285 319561904 330143424 330581280 335301915 349176477 355224480 357655376 358129720 369988320 399452380 412679280 429755664 440775040 447069220 465568636 473632640 479342856 493317760 519288094 536483064 537194580 550239040 573007552 581960795 599178570 639123808 660286848 661162560 670603830 698352954 710448960 715310752 716259440 739976640 778932141 798904760 825358560 859511328 894138440 931137272 958685712 1038576188 1072966128 1074389160 1100478080 1146015104 1163921590 1198357140 1278247616 1298220235 1322325120 1341207660 1396705908 1420897920 1430621504 1432518880 1479953280 1557864282 1597809520 1650717120 1719022656 1745882385 1788276880 1862274544 1917371424 2077152376 2145932256 2148778320 2327843180 2396714280 2556495232 2596440470 2682415320 2793411816 2861243008 2865037760 3115728564 3195619040 3301434240 3375372611 3438045312 3491764770 3576553760 3724549088 3834742848 3894660705 4154304752 4291864512 4297556640 4655686360 4793428560 5192880940 5364830640 5586823632 5730075520 6231457128 6391238080 6750745222 6983529540 7153107520 7449098176 7669485696 7789321410 8308609504 8583729024 8595113280 9311372720 9586857120 10126117833 10385761880 10729661280 11173647264 12462914256 12782476160 13501490444 13967059080 14306215040 14898196352 15578642820 16617219008 16876863055 17190226560 18622745440 19173714240 20252235666 20771523760 21459322560 22347294528 24925828512 27002980888 27934118160 31157285640 33234438016 33753726110 37245490880 38347428480 40504471332 41543047520 42918645120 44694589056 49851657024 50630589165 54005961776 55868236320 62314571280 67507452220 74490981760 81008942664 83086095040 99703314048 101261178330 108011923552 111736472640 124629142560 135014904440 162017885328 166172190080 202522356660 216023847104 223472945280 249258285120 270029808880 324035770656 405044713320 432047694208 498516570240 540059617760 648071541312 810089426640 1080119235520 1296143082624 1620178853280 2160238471040 3240357706560 6480715413120
- Sum of all divisors σ(n): 23298214291200
- Sum of proper divisors (its aliquot sum) s(n): 16817498878080
- 6480715413120 is an abundant number, because the sum of its proper divisors (16817498878080) is greater than itself. Its abundance is 10336783464960
Bases of 6480715413120
- Binary: 10111100100111010001011110101110110100000002
- Hexadecimal: 0x5E4E8BD7680
- Base-36: 2AP76MOAO
Squares and roots of 6480715413120
- 6480715413120 squared (64807154131202) is 41999672265851132268134400
- 6480715413120 cubed (64807154131203) is 272187923399290027125502390707683328000
-
The
square root of 6480715413120 is 2545724.9288012245 -
The
cube root of 6480715413120 is 18644.0811076675
Scales and comparisons
How big is 6480715413120?- 6,480,715,413,120 seconds is equal to 206,066 years, 36 weeks, 4 days, 5 hours, 52 minutes.
-
To count from 1 to 6,480,715,413,120 would take you about five hundred fifteen thousand, one hundred sixty-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 6480715413120 cubic inches would be around 1553.7 feet tall.
Recreational maths with 6480715413120
- 6480715413120 backwards is 0213145170846
- The number of decimal digits it has is: 13
- The sum of 6480715413120's digits is 42
- More coming soon!
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