468263728003680
468,263,728,003,680 is an even composite number composed of seven prime numbers multiplied together.
468263728003680 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 468263728003680:
25 × 32 × 5 × 72 × 97 × 199 × 343801
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 7 × 97 × 199 × 343801)See below for interesting mathematical facts about the number 468263728003680 from the Numbermatics database.
Names of 468263728003680
- Cardinal: 468263728003680 can be written as Four hundred sixty-eight trillion, two hundred sixty-three billion, seven hundred twenty-eight million, three thousand, six hundred eighty.
Scientific notation
- Scientific notation: 4.6826372800368 × 1014
Factors of 468263728003680
Divisors of 468263728003680
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 97 98 105 112 120 126 140 144 147 160 168 180 194 196 199 210 224 240 245 252 280 288 291 294 315 336 360 388 392 398 420 441 480 485 490 504 560 582 588 597 630 672 679 720 735 776 784 796 840 873 882 970 980 995 1008 1120 1164 1176 1194 1260 1358 1393 1440 1455 1470 1552 1568 1592 1680 1746 1764 1791 1940 1960 1990 2016 2037 2205 2328 2352 2388 2520 2716 2786 2910 2940 2985 3104 3184 3360 3395 3492 3528 3582 3880 3920 3980 4074 4179 4365 4410 4656 4704 4753 4776 5040 5432 5572 5820 5880 5970 6111 6368 6790 6965 6984 7056 7164 7760 7840 7960 8148 8358 8730 8820 8955 9312 9506 9552 9751 10080 10185 10864 11144 11640 11760 11940 12222 12537 13580 13930 13968 14112 14259 14328 15520 15920 16296 16716 17460 17640 17910 19012 19104 19303 19502 20370 20895 21728 22288 23280 23520 23765 23880 24444 25074 27160 27860 27936 28518 28656 29253 30555 31840 32592 33432 34920 35280 35820 38024 38606 39004 40740 41790 42777 44576 46560 47530 47760 48755 48888 50148 54320 55720 57036 57312 57909 58506 61110 62685 65184 66864 69840 70560 71295 71640 76048 77212 78008 81480 83580 85554 87759 95060 95520 96515 97510 97776 100296 108640 111440 114072 115818 117012 122220 125370 133728 135121 139680 142590 143280 146265 152096 154424 156016 162960 167160 171108 173727 175518 190120 193030 195020 195552 200592 213885 222880 228144 231636 234024 244440 250740 270242 285180 286560 289545 292530 308848 312032 325920 334320 342216 343801 347454 351036 380240 386060 390040 401184 405363 427770 438795 456288 463272 468048 488880 501480 540484 570360 579090 585060 617696 668640 675605 684432 687602 694908 702072 760480 772120 780080 810726 855540 868635 877590 926544 936096 945847 977760 1002960 1031403 1080968 1140720 1158180 1170120 1216089 1351210 1368864 1375204 1389816 1404144 1544240 1560160 1621452 1711080 1719005 1737270 1755180 1853088 1891694 2005920 2026815 2062806 2161936 2281440 2316360 2340240 2406607 2432178 2702420 2750408 2779632 2808288 2837541 3088480 3094209 3242904 3422160 3438010 3474540 3510360 3783388 4053630 4125612 4323872 4632720 4680480 4729235 4813214 4864356 5157015 5404840 5500816 5559264 5675082 6080445 6188418 6485808 6844320 6876020 6949080 7020720 7219821 7566776 8107260 8251224 8512623 9265440 9458470 9626428 9728712 10314030 10809680 11001632 11350164 12033035 12160890 12376836 12971616 13752040 13898160 14041440 14187705 14439642 15133552 15471045 16214520 16502448 16846249 17025246 18916940 19252856 19457424 20628060 21619360 21659463 22700328 24066070 24321780 24753672 27504080 27796320 28375410 28879284 30267104 30942090 32429040 33004896 33348697 33692498 34050492 36099105 37833880 38505712 38914848 41256120 42563115 43318926 45400656 48132140 48643560 49507344 50538747 55008160 56750820 57758568 61884180 64858080 66697394 67384996 68100984 68416399 72198210 75667760 77011424 82512240 84231245 85126230 86637852 90801312 96264280 97287120 99014688 100046091 101077494 108297315 113501640 115517136 123768360 133394788 134769992 136201968 136832798 144396420 151335520 151616241 165024480 166743485 168462490 170252460 173275704 192528560 194574240 200092182 202154988 205249197 216594630 227003280 231034272 233440879 247536720 252693735 266789576 269539984 272403936 273665596 288792840 300138273 303232482 333486970 336924980 340504920 342081995 346551408 385057120 400184364 404309976 410498394 433189260 454006560 466881758 478914793 495073440 500230455 505387470 533579152 539079968 547331192 577585680 600276546 606464964 615747591 666973940 673849960 681009840 684163990 693102816 700322637 758081205 800368728 808619952 820996788 866378520 933763516 957829586 1000460910 1010774940 1026245985 1067158304 1094662384 1155171360 1167204395 1200553092 1212929928 1231495182 1333947880 1347699920 1362019680 1368327980 1400645274 1436744379 1500691365 1516162410 1600737456 1617239904 1634086153 1641993576 1732757040 1867527032 1915659172 2000921820 2021549880 2052491970 2100967911 2189324768 2334408790 2394573965 2401106184 2425859856 2462990364 2667895760 2695399840 2736655960 2801290548 2873488758 3001382730 3032324820 3078737955 3201474912 3268172306 3283987152 3352403551 3465514080 3501613185 3735054064 3831318344 4001843640 4043099760 4104983940 4201935822 4310233137 4668817580 4789147930 4802212368 4851719712 4902258459 4925980728 5335791520 5473311920 5602581096 5746977516 6002765460 6064649640 6157475910 6536344612 6567974304 6636390703 6704807102 7003226370 7183721895 7470108128 7662636688 8003687280 8086199520 8170430765 8209967880 8403871644 8620466274 9337635160 9578295860 9604424736 9804516918 9851961456 10057210653 10504839555 10946623840 11205162192 11493955032 12005530920 12129299280 12314951820 13072689224 13272781406 13409614204 14006452740 14367443790 14706775377 15325273376 16007374560 16340861530 16419935760 16762017755 16807743288 17240932548 18675270320 19156591720 19609033836 19703922912 19909172109 20114421306 21009679110 21551165685 22410324384 22987910064 24011061840 24258598560 24511292295 24629903640 26145378448 26545562812 26819228408 28012905480 28734887580 29413550754 30171631959 32681723060 32839871520 33181953515 33524035510 33615486576 34481865096 37350540640 38313183440 39218067672 39818344218 40228842612 42019358220 43102331370 45975820128 46454734921 48022123680 49022584590 49259807280 50286053265 52290756896 53091125624 53638456816 56025810960 57469775160 58827101508 59727516327 60343263918 65363446120 66363907030 67048071020 67230973152 68963730192 73533876885 76626366880 78436135344 79636688436 80457685224 84038716440 86204662740 92909469842 98045169180 98519614560 99545860545 100572106530 106182251248 107276913632 112051621920 114939550320 117654203016 119455032654 120686527836 130726892240 132727814060 134096142040 137927460384 139364204763 147067753770 150858159795 156872270688 159273376872 160915370448 168077432880 172409325480 185818939684 196090338360 199091721090 201144213060 212364502496 229879100640 232273674605 235308406032 238910065308 241373055672 261453784480 265455628120 268192284080 278728409526 294135507540 298637581635 301716319590 318546753744 321830740896 325183144447 336154865760 344818650960 371637879368 392180676720 398183442180 402288426120 418092614289 464547349210 470616812064 477820130616 482746111344 530911256240 536384568160 557456819052 588271015080 597275163270 603432639180 637093507488 650366288894 689637301920 696821023815 743275758736 784361353440 796366884360 804576852240 836185228578 929094698420 955640261232 965492222688 975549433341 1061822512480 1114913638104 1176542030160 1194550326540 1206865278360 1300732577788 1393642047630 1486551517472 1592733768720 1609153704480 1625915722235 1672370457156 1858189396840 1911280522464 1951098866682 2090463071445 2229827276208 2353084060320 2389100653080 2413730556720 2601465155576 2787284095260 2926648300023 3185467537440 3251831444470 3344740914312 3716378793680 3902197733364 4180926142890 4459654552416 4778201306160 4827461113440 4877747166705 5202930311152 5574568190520 5853296600046 6503662888940 6689481828624 7432757587360 7804395466728 8361852285780 9556402612320 9755494333410 10405860622304 11149136381040 11706593200092 13007325777880 13378963657248 14633241500115 15608790933456 16723704571560 19510988666820 22298272762080 23413186400184 26014651555760 29266483000230 31217581866912 33447409143120 39021977333640 46826372800368 52029303111520 58532966000460 66894818286240 78043954667280 93652745600736 117065932000920 156087909334560 234131864001840 468263728003680
- Sum of all divisors σ(n): 1887445750881600
- Sum of proper divisors (its aliquot sum) s(n): 1419182022877920
- 468263728003680 is an abundant number, because the sum of its proper divisors (1419182022877920) is greater than itself. Its abundance is 950918294874240
Bases of 468263728003680
- Binary: 11010100111100010001001010010101100111010011000002
- Hexadecimal: 0x1A9E2252B3A60
- Base-36: 4LZHDXFX40
Squares and roots of 468263728003680
- 468263728003680 squared (4682637280036802) is 219270918963904405038093542400
- 468263728003680 cubed (4682637280036803) is 102676617956830691120546832387490251436032000
-
The
square root of 468263728003680 is 21639402.2099428615 -
The
cube root of 468263728003680 is 77653.9418411113
Scales and comparisons
How big is 468263728003680?- 468,263,728,003,680 seconds is equal to 14,889,338 years, 6 weeks, 2 hours, 48 minutes.
-
To count from 1 to 468,263,728,003,680 would take you about thirty-seven million, two hundred twenty-three thousand, three 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 468263728003680 cubic inches would be around 6471.2 feet tall.
Recreational maths with 468263728003680
- 468263728003680 backwards is 086300827362864
- 468263728003680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 468263728003680's digits is 63
- More coming soon!
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The information we have on file for 468263728003680 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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