382148070338780480

Names of 382148070338780480

• Cardinal: 382148070338780480 can be written as Three hundred eighty-two quadrillion, one hundred forty-eight trillion, seventy billion, three hundred thirty-eight million, seven hundred eighty thousand, four hundred eighty.

Scientific notation

• Scientific notation: 3.8214807033878048 × 10¹⁷

Factors of 382148070338780480

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 402

Divisors of 382148070338780480

• Number of divisors d(n): 630
• Complete list of divisors:
  1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 64 70 80 82 98 112 140 160 164 196 205 224 245 280 287 320 328 347 392 410 448 490 560 574 656 694 784 820 980 1120 1148 1312 1388 1435 1568 1640 1681 1735 1960 2009 2240 2296 2429 2624 2776 2870 3136 3280 3362 3470 3920 4018 4592 4858 5552 5740 6560 6724 6940 7840 8036 8405 9184 9716 10045 11104 11480 11767 12145 13120 13448 13880 14227 15680 16072 16810 17003 18368 19432 20090 22208 22960 23534 24290 26896 27760 28454 32144 33620 34006 38864 40180 45920 47068 48580 53792 55520 56908 58835 64288 67240 68012 71135 77728 80360 82369 85015 91840 94136 97160 99589 107584 111040 113816 117670 120409 128576 134480 136024 142270 155456 160720 164738 170030 188272 194320 199178 227632 235340 240818 268960 272048 284540 321440 329476 340060 376544 388640 398356 411845 455264 470680 481636 497945 537920 544096 569080 583307 602045 642880 658952 680120 697123 753088 777280 796712 823690 842863 910528 941360 963272 995890 1088192 1138160 1166614 1204090 1317904 1360240 1394246 1593424 1647380 1685726 1882720 1926544 1991780 2276320 2333228 2408180 2635808 2720480 2788492 2916535 3186848 3294760 3371452 3485615 3765440 3853088 3983560 4083149 4214315 4552640 4666456 4816360 4936769 5271616 5440960 5576984 5833070 5900041 6373696 6589520 6742904 6971230 7706176 7967120 8166298 8428630 9332912 9632720 9873538 11153968 11666140 11800082 13179040 13485808 13942460 15934240 16332596 16857260 18665824 19265440 19747076 20415745 22307936 23332280 23600164 24683845 26358080 26971616 27884920 28582043 29500205 31868480 32665192 33714520 34557383 37331648 38530880 39494152 40831490 41781923 44615872 46664560 47200328 49367690 53943232 55769840 57164086 59000410 65330384 67429040 69114766 78988304 81662980 83563846 93329120 94400656 98735380 111539680 114328172 118000820 130660768 134858080 138229532 142910215 157976608 163325960 167127692 172786915 186658240 188801312 197470760 202407529 208909615 223079360 228656344 236001640 241901681 261321536 269716160 276459064 285820430 292473461 315953216 326651920 334255384 345573830 377602624 394941520 404815058 417819230 457312688 472003280 483803362 552918128 571640860 584946922 653303840 668510768 691147660 789883040 809630116 835638460 914625376 944006560 967606724 1012037645 1105836256 1143281720 1169893844 1209508405 1306607680 1337021536 1382295320 1416852703 1462367305 1579766080 1619260232 1671276920 1713058843 1829250752 1888013120 1935213448 2024075290 2047314227 2211672512 2286563440 2339787688 2419016810 2674043072 2764590640 2833705406 2924734610 3238520464 3342553840 3426117686 3870426896 4048150580 4094628454 4573126880 4679575376 4838033620 5529181280 5667410812 5849469220 6477040928 6685107680 6852235372 7084263515 7740853792 8096301160 8189256908 8565294215 9146253760 9359150752 9676067240 9917968921 10236571135 11058362560 11334821624 11698938440 11991411901 12954081856 13370215360 13704470744 14168527030 14498327281 15481707584 16192602320 16378513816 17130588430 18718301504 19352134480 19835937842 20473142270 22669643248 23397876880 23982823802 27408941488 28337054060 28996654562 32385204640 32757027632 34261176860 38704268960 39671875684 40946284540 45339286496 46795753760 47965647604 49589844605 54817882976 56674108120 57993309124 59957059505 64770409280 65514055264 68522353720 70235412563 72491636405 77408537920 79343751368 81892569080 83939883307 90678572992 93591507520 95931295208 99179689210 101488290967 109635765952 113348216240 115986618248 119914119010 131028110528 137044707440 140470825126 144983272810 158687502736 163785138160 167879766614 191862590416 198359378420 202976581934 226696432480 231973236496 239828238020 274089414880 280941650252 289966545620 317375005472 327570276320 335759533228 351177062815 383725180832 396718756840 405953163868 419699416535 453392864960 463946472992 479656476040 491647887941 507441454835 548178829760 561883300504 579933091240 594431418521 634750010944 655140552640 671519066456 702354125630 710418036769 767450361664 793437513680 811906327736 839398833070 927892945984 959312952080 983295775882 1014882909670 1123766601008 1159866182480 1188862837042 1343038132912 1404708251260 1420836073538 1586875027360 1623812655472 1678797666140 1918625904160 1966591551764 2029765819340 2247533202016 2319732364960 2377725674084 2458239439705 2686076265824 2809416502520 2841672147076 2972157092605 3173750054720 3247625310944 3357595332280 3441535215587 3552090183845 3837251808320 3933183103528 4059531638680 4161019929647 4495066404032 4639464729920 4755451348168 4916478879410 5372152531648 5618833005040 5683344294152 5944314185210 6495250621888 6715190664560 6883070431174 7104180367690 7866366207056 8119063277360 8322039859294 9510902696336 9832957758820 11237666010080 11366688588304 11888628370420 13430381329120 13766140862348 14208360735380 15732732414112 16238126554720 16644079718588 17207676077935 19021805392672 19665915517640 20805099648235 22475332020160 22733377176608 23777256740840 24371688159361 26860762658240 27532281724696 28416721470760 29127139507529 31465464828224 32476253109440 33288159437176 34415352155870 38043610785344 39331831035280 41610199296470 45466754353216 47554513481680 48743376318722 55064563449392 56833442941520 58254279015058 66576318874352 68830704311740 78663662070560 83220398592940 95109026963360 97486752637444 110129126898784 113666885883040 116508558030116 121858440796805 133152637748704 137661408623480 145635697537645 157327324141120 166440797185880 170601817115527 190218053926720 194973505274888 220258253797568 227333771766080 233017116060232 243716881593610 266305275497408 275322817246960 291271395075290 332881594371760 341203634231054 389947010549776 466034232120464 487433763187220 550645634493920 582542790150580 665763188743520 682407268462108 779894021099552 853009085577635 932068464240928 974867526374440 1101291268987840 1165085580301160 1194212719808689 1331526377487040 1364814536924216 1559788042199104 1706018171155270 1864136928481856 1949735052748880 2330171160602320 2388425439617378 2729629073848432 3412036342310540 3899470105497760 4660342321204640 4776850879234756 5459258147696864 5971063599043445 6824072684621080 7798940210995520 9320684642409280 9553701758469512 10918516295393728 11942127198086890 13648145369242160 19107403516939024 23884254396173780 27296290738484320 38214807033878048 47768508792347560 54592581476968640 76429614067756096 95537017584695120 191074035169390240 382148070338780480
• Sum of all divisors σ(n): 1088144019821225502
• Sum of proper divisors (its aliquot sum) s(n): 705995949482445022
• 382148070338780480 is an abundant number, because the sum of its proper divisors (705995949482445022) is greater than itself. Its abundance is 323847879143664542

Bases of 382148070338780480

• Binary: 10101001101101010011010010100110000001001001101110101000000₂
• Hexadecimal: 0x54DA9A53024DD40
• Base-36: 2WIS6NXGXBNK

Squares and roots of 382148070338780480

• 382148070338780480 squared (382148070338780480²) is 146037147663653513286119413629030400
• 382148070338780480 cubed (382148070338780480³) is 55807814177444734234333307492623575617889460846592000
• The square root of 382148070338780480 is 618181260.0999649197
• The cube root of 382148070338780480 is 725677.8885727617

Scales and comparisons

• 382,148,070,338,780,480 seconds is equal to 12,151,126,575 years, 9 weeks, 2 days, 12 hours, 21 minutes, 20 seconds.
• To count from 1 to 382,148,070,338,780,480 would take you about thirty-six billion, four hundred fifty-three million, three hundred seventy-nine thousand, seven hundred twenty-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 382148070338780480 cubic inches would be around 60473.2 feet tall.

Recreational maths with 382148070338780480

• 382148070338780480 backwards is 084087833070841283
• The number of decimal digits it has is: 18
• The sum of 382148070338780480's digits is 74
• More coming soon!