4680401338368000
4,680,401,338,368,000 is an even composite number composed of six prime numbers multiplied together.
4680401338368000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 4680401338368000:
217 × 32 × 53 × 7 × 229 × 19801
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 229 × 19801)See below for interesting mathematical facts about the number 4680401338368000 from the Numbermatics database.
Names of 4680401338368000
- Cardinal: 4680401338368000 can be written as Four quadrillion, six hundred eighty trillion, four hundred one billion, three hundred thirty-eight million, three hundred sixty-eight thousand.
Scientific notation
- Scientific notation: 4.680401338368 × 1015
Factors of 4680401338368000
Divisors of 4680401338368000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 50 56 60 63 64 70 72 75 80 84 90 96 100 105 112 120 125 126 128 140 144 150 160 168 175 180 192 200 210 224 225 229 240 250 252 256 280 288 300 315 320 336 350 360 375 384 400 420 448 450 458 480 500 504 512 525 560 576 600 630 640 672 687 700 720 750 768 800 840 875 896 900 916 960 1000 1008 1024 1050 1120 1125 1145 1152 1200 1260 1280 1344 1374 1400 1440 1500 1536 1575 1600 1603 1680 1750 1792 1800 1832 1920 2000 2016 2048 2061 2100 2240 2250 2290 2304 2400 2520 2560 2625 2688 2748 2800 2880 3000 3072 3150 3200 3206 3360 3435 3500 3584 3600 3664 3840 4000 4032 4096 4122 4200 4480 4500 4580 4608 4800 4809 5040 5120 5250 5376 5496 5600 5725 5760 6000 6144 6300 6400 6412 6720 6870 7000 7168 7200 7328 7680 7875 8000 8015 8064 8192 8244 8400 8960 9000 9160 9216 9600 9618 10080 10240 10305 10500 10752 10992 11200 11450 11520 12000 12288 12600 12800 12824 13440 13740 14000 14336 14400 14427 14656 15360 15750 16000 16030 16128 16384 16488 16800 17175 17920 18000 18320 18432 19200 19236 19801 20160 20480 20610 21000 21504 21984 22400 22900 23040 24000 24045 24576 25200 25600 25648 26880 27480 28000 28625 28672 28800 28854 29312 30720 31500 32000 32060 32256 32768 32976 33600 34350 35840 36000 36640 36864 38400 38472 39602 40075 40320 40960 41220 42000 43008 43968 44800 45800 46080 48000 48090 49152 50400 51200 51296 51525 53760 54960 56000 57250 57344 57600 57708 58624 59403 61440 63000 64000 64120 64512 65536 65952 67200 68700 71680 72000 72135 73280 73728 76800 76944 79204 80150 80640 81920 82440 84000 85875 86016 87936 89600 91600 92160 96000 96180 98304 99005 100800 102400 102592 103050 107520 109920 112000 114500 114688 115200 115416 117248 118806 120225 122880 126000 128000 128240 129024 131072 131904 134400 137400 138607 143360 144000 144270 146560 147456 153600 153888 158408 160300 161280 163840 164880 168000 171750 172032 175872 178209 179200 183200 184320 192000 192360 196608 198010 200375 201600 204800 205184 206100 215040 219840 224000 229000 229376 230400 230832 234496 237612 240450 245760 252000 256000 256480 257625 258048 263808 268800 274800 277214 286720 288000 288540 293120 294912 297015 307200 307776 316816 320600 322560 327680 329760 336000 343500 344064 351744 356418 358400 360675 366400 368640 384000 384720 393216 396020 400750 403200 409600 410368 412200 415821 430080 439680 448000 458000 458752 460800 461664 468992 475224 480900 491520 495025 504000 512000 512960 515250 516096 527616 537600 549600 554428 573440 576000 577080 586240 589824 594030 601125 614400 615552 633632 641200 645120 655360 659520 672000 687000 688128 693035 703488 712836 716800 721350 732800 737280 768000 769440 792040 801500 806400 819200 820736 824400 831642 860160 879360 891045 896000 916000 917504 921600 923328 937984 950448 961800 983040 990050 1008000 1024000 1025920 1030500 1032192 1055232 1075200 1099200 1108856 1146880 1152000 1154160 1172480 1179648 1188060 1202250 1228800 1231104 1247463 1267264 1282400 1290240 1319040 1344000 1374000 1376256 1386070 1406976 1425672 1433600 1442700 1465600 1474560 1485075 1536000 1538880 1584080 1603000 1612800 1638400 1641472 1648800 1663284 1720320 1758720 1782090 1792000 1803375 1832000 1843200 1846656 1875968 1900896 1923600 1966080 1980100 2016000 2048000 2051840 2061000 2064384 2079105 2110464 2150400 2198400 2217712 2293760 2304000 2308320 2344960 2376120 2404500 2457600 2462208 2475125 2494926 2534528 2564800 2580480 2638080 2688000 2748000 2752512 2772140 2813952 2851344 2867200 2885400 2931200 2949120 2970150 3072000 3077760 3168160 3206000 3225600 3276800 3282944 3297600 3326568 3440640 3465175 3517440 3564180 3584000 3606750 3664000 3686400 3693312 3751936 3801792 3847200 3960200 4032000 4096000 4103680 4122000 4128768 4158210 4220928 4300800 4396800 4435424 4455225 4534429 4587520 4608000 4616640 4689920 4752240 4809000 4915200 4924416 4950250 4989852 5069056 5129600 5160960 5276160 5376000 5496000 5544280 5627904 5702688 5734400 5770800 5862400 5898240 5940300 6144000 6155520 6237315 6336320 6412000 6451200 6565888 6595200 6653136 6881280 6930350 7034880 7128360 7168000 7213500 7328000 7372800 7386624 7425375 7503872 7603584 7694400 7920400 8064000 8192000 8207360 8244000 8257536 8316420 8441856 8601600 8793600 8870848 8910450 9068858 9216000 9233280 9379840 9504480 9618000 9830400 9848832 9900500 9979704 10138112 10259200 10321920 10395525 10552320 10752000 10992000 11088560 11255808 11405376 11468800 11541600 11724800 11880600 12288000 12311040 12474630 12672640 12824000 12902400 13131776 13190400 13306272 13603287 13762560 13860700 14069760 14256720 14336000 14427000 14656000 14745600 14773248 14850750 15007744 15207168 15388800 15840800 16128000 16384000 16414720 16488000 16632840 16883712 17203200 17325875 17587200 17741696 17820900 18137716 18432000 18466560 18759680 19008960 19236000 19697664 19801000 19959408 20276224 20518400 20643840 20791050 21104640 21504000 21984000 22177120 22276125 22511616 22672145 22810752 22937600 23083200 23449600 23761200 24576000 24622080 24949260 25345280 25648000 25804800 26263552 26380800 26612544 27206574 27721400 28139520 28513440 28672000 28854000 29312000 29491200 29546496 29701500 30015488 30414336 30777600 31186575 31681600 31741003 32256000 32829440 32976000 33265680 33767424 34406400 34651750 35174400 35483392 35641800 36275432 36864000 36933120 37519360 38017920 38472000 39395328 39602000 39918816 40552448 40809861 41036800 41287680 41582100 42209280 43008000 43968000 44354240 44552250 45023232 45344290 45621504 46166400 46899200 47522400 49152000 49244160 49898520 50690560 51296000 51609600 51977625 52527104 52761600 53225088 54413148 55442800 56279040 57026880 57344000 57708000 58624000 59092992 59403000 60828672 61555200 62373150 63363200 63482006 64512000 65658880 65952000 66531360 67534848 68016435 68812800 69303500 70348800 70966784 71283600 72550864 73728000 73866240 75038720 76035840 76944000 78790656 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81619722000 81753735168 83578595328 85160140800 87061036800 90837483520 91243008000 91414088640 92865105920 95223009000 97325875200 97508361216 101571209600 102192168960 104473244160 106450176000 108826296000 111438127104 113546854400 114267610800 116081382400 116791050240 118185984000 121657344000 121885451520 126964012000 127740211200 130011148288 130591555200 136256225280 139297658880 141933568000 142834513500 145101728000 145988812800 146262541824 148584169472 152356814400 159675264000 162209792000 162513935360 163239444000 163507470336 167157190656 170320281600 174122073600 182486016000 182828177280 185730211840 190446018000 194651750400 195016722432 203142419200 204384337920 208946488320 212900352000 217652592000 222876254208 227093708800 228535221600 232162764800 236371968000 243314688000 243770903040 253928024000 255480422400 260022296576 261183110400 272512450560 278595317760 283867136000 285669027000 290203456000 291977625600 292525083648 297168338944 304713628800 319350528000 324419584000 325027870720 326478888000 334314381312 340640563200 348244147200 364972032000 365656354560 371460423680 380892036000 390033444864 406284838400 408768675840 417892976640 425800704000 435305184000 445752508416 454187417600 457070443200 464325529600 486629376000 487541806080 507856048000 510960844800 520044593152 522366220800 557190635520 567734272000 571338054000 580406912000 583955251200 585050167296 594336677888 609427257600 638701056000 650055741440 652957776000 668628762624 681281126400 696488294400 729944064000 731312709120 742920847360 761784072000 780066889728 812569676800 817537351680 835785953280 851601408000 870610368000 891505016832 914140886400 928651059200 973258752000 975083612160 1015712096000 1021921689600 1040089186304 1044732441600 1114381271040 1135468544000 1142676108000 1160813824000 1170100334592 1218854515200 1277402112000 1300111482880 1305915552000 1337257525248 1362562252800 1392976588800 1459888128000 1462625418240 1485841694720 1523568144000 1560133779456 1625139353600 1671571906560 1703202816000 1741220736000 1783010033664 1828281772800 1857302118400 1950167224320 2031424192000 2043843379200 2080178372608 2089464883200 2228762542080 2270937088000 2285352216000 2321627648000 2340200669184 2437709030400 2554804224000 2600222965760 2611831104000 2674515050496 2785953177600 2919776256000 2925250836480 2971683389440 3047136288000 3120267558912 3250278707200 3343143813120 3406405632000 3482441472000 3656563545600 3714604236800 3900334448640 4062848384000 4087686758400 4160356745216 4178929766400 4457525084160 4570704432000 4643255296000 4680401338368 4875418060800 5109608448000 5200445931520 5223662208000 5349030100992 5571906355200 5850501672960 6094272576000 6240535117824 6500557414400 6686287626240 6812811264000 6964882944000 7313127091200 7429208473600 7800668897280 8125696768000 8357859532800 8915050168320 9141408864000 9286510592000 9360802676736 9750836121600 10219216896000 10400891863040 10447324416000 11143812710400 11701003345920 12188545152000 12481070235648 13001114828800 13372575252480 13929765888000 14626254182400 14858416947200 15601337794560 16251393536000 16715719065600 18282817728000 18573021184000 18721605353472 19501672243200 20438433792000 20801783726080 20894648832000 22287625420800 23402006691840 24377090304000 26002229657600 26745150504960 27859531776000 29252508364800 31202675589120 32502787072000 33431438131200 36565635456000 37146042368000 37443210706944 39003344486400 41789297664000 44575250841600 46804013383680 48754180608000 52004459315200 55719063552000 58505016729600 62405351178240 65005574144000 66862876262400 73131270912000 74292084736000 78006688972800 83578595328000 93608026767360 97508361216000 104008918630400 111438127104000 117010033459200 130011148288000 133725752524800 146262541824000 156013377945600 167157190656000 187216053534720 195016722432000 222876254208000 234020066918400 260022296576000 292525083648000 312026755891200 334314381312000 390033444864000 468040133836800 520044593152000 585050167296000 668628762624000 780066889728000 936080267673600 1170100334592000 1560133779456000 2340200669184000 4680401338368000
- Sum of all divisors σ(n): 19370154961422720
- Sum of proper divisors (its aliquot sum) s(n): 14689753623054720
- 4680401338368000 is an abundant number, because the sum of its proper divisors (14689753623054720) is greater than itself. Its abundance is 10009352284686720
Bases of 4680401338368000
- Binary: 100001010000011001100110110110010111000000000000000002
- Hexadecimal: 0x10A0CCDB2E0000
- Base-36: 1A32AOWHDS0
Squares and roots of 4680401338368000
- 4680401338368000 squared (46804013383680002) is 21906156688196965628903424000000
- 4680401338368000 cubed (46804013383680003) is 102529605081936192398316080513817772032000000000
-
The
square root of 4680401338368000 is 68413458.7516813099 -
The
cube root of 4680401338368000 is 167273.7134523241
Scales and comparisons
How big is 4680401338368000?- 4,680,401,338,368,000 seconds is equal to 148,822,285 years, 6 weeks, 4 days, 16 hours.
-
To count from 1 to 4,680,401,338,368,000 would take you about four hundred forty-six million, four hundred sixty-six thousand, eight hundred fifty-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 4680401338368000 cubic inches would be around 13939.5 feet tall.
Recreational maths with 4680401338368000
- 4680401338368000 backwards is 0008638331040864
- The number of decimal digits it has is: 16
- The sum of 4680401338368000's digits is 54
- More coming soon!
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The information we have on file for 4680401338368000 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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