401380068528032000
401,380,068,528,032,000 is an even composite number composed of five prime numbers multiplied together.
401380068528032000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 401380068528032000:
28 × 53 × 115 × 29 × 1393
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 29 × 139 × 139 × 139)See below for interesting mathematical facts about the number 401380068528032000 from the Numbermatics database.
Names of 401380068528032000
- Cardinal: 401380068528032000 can be written as Four hundred one quadrillion, three hundred eighty trillion, sixty-eight billion, five hundred twenty-eight million, thirty-two thousand.
Scientific notation
- Scientific notation: 4.01380068528032 × 1017
Factors of 401380068528032000
Divisors of 401380068528032000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 25 29 32 40 44 50 55 58 64 80 88 100 110 116 121 125 128 139 145 160 176 200 220 232 242 250 256 275 278 290 319 320 352 400 440 464 484 500 550 556 580 605 638 640 695 704 725 800 880 928 968 1000 1100 1112 1160 1210 1276 1280 1331 1375 1390 1408 1450 1529 1595 1600 1760 1856 1936 2000 2200 2224 2320 2420 2552 2662 2750 2780 2816 2900 3025 3058 3190 3200 3475 3509 3520 3625 3712 3872 4000 4031 4400 4448 4640 4840 5104 5324 5500 5560 5800 6050 6116 6380 6400 6655 6950 7018 7040 7250 7424 7645 7744 7975 8000 8062 8800 8896 9280 9680 10208 10648 11000 11120 11600 12100 12232 12760 13310 13900 14036 14080 14500 14641 15125 15290 15488 15950 16000 16124 16819 17375 17545 17600 17792 18560 19321 19360 20155 20416 21296 22000 22240 23200 24200 24464 25520 26620 27800 28072 29000 29282 30250 30580 30976 31900 32000 32248 33275 33638 34750 35090 35200 35584 37120 38225 38599 38642 38720 39875 40310 40832 42592 44000 44341 44480 46400 48400 48928 51040 53240 55600 56144 58000 58564 60500 61160 63800 64496 66550 67276 69500 70180 70400 73205 76450 77198 77284 77440 79750 80620 81664 84095 85184 87725 88000 88682 88960 92800 96605 96800 97856 100775 102080 106480 111200 112288 116000 117128 121000 122320 127600 128992 133100 134552 139000 140360 146410 152900 154396 154568 154880 159500 161051 161240 166375 168190 170368 175450 176000 177364 177920 185009 185600 191125 192995 193210 193600 195712 201550 204160 212531 212960 221705 222400 224576 232000 234256 242000 244640 255200 257984 266200 269104 278000 280720 292820 305800 308792 309136 319000 322102 322480 332750 336380 340736 350900 352000 354728 366025 370018 382250 385990 386420 387200 391424 403100 408320 420475 424589 425062 425920 438625 443410 444800 449152 464000 468512 483025 484000 487751 489280 503875 510400 515968 532400 538208 556000 560309 561440 585640 611600 617584 618272 638000 644204 644960 665500 672760 701800 709456 732050 740036 764500 771980 772840 774400 805255 806200 840950 849178 850124 851840 877250 886820 889600 898304 925045 928000 937024 964975 966050 968000 975502 978560 1007750 1020800 1031936 1062655 1064800 1076416 1108525 1112000 1120618 1122880 1171280 1223200 1235168 1236544 1276000 1288408 1289920 1331000 1345520 1403600 1418912 1464100 1480072 1529000 1543960 1545680 1610510 1612400 1681900 1698356 1700248 1703680 1754500 1773640 1830125 1850090 1874048 1929950 1932100 1936000 1951004 1957120 2015500 2035099 2041600 2102375 2122945 2125310 2129600 2152832 2217050 2224000 2241236 2245760 2337841 2342560 2415125 2438755 2446400 2470336 2473088 2552000 2576816 2579840 2662000 2685619 2691040 2801545 2807200 2837824 2928200 2960144 3058000 3087920 3091360 3221020 3224800 3363800 3396712 3400496 3509000 3547280 3660250 3700180 3748096 3859900 3864200 3872000 3902008 4026275 4031000 4070198 4204750 4245890 4250620 4259200 4305664 4434100 4448000 4482472 4491520 4625225 4670479 4675682 4685120 4824875 4830250 4877510 4892800 4940672 4946176 5104000 5153632 5159680 5313275 5324000 5365261 5371238 5382080 5542625 5603090 5614400 5675648 5856400 5920288 6116000 6163399 6175840 6182720 6442040 6449600 6727600 6793424 6800992 7018000 7094560 7320500 7400360 7719800 7728400 7804016 8052550 8062000 8140396 8409500 8491780 8501240 8518400 8868200 8964944 9250450 9340958 9351364 9370240 9649750 9660500 9755020 9785600 9881344 10175495 10208000 10307264 10614725 10626550 10648000 10730522 10742476 10764160 11085250 11206180 11228800 11351296 11689205 11712800 11840576 12193775 12232000 12326798 12351680 12365440 12884080 12899200 13428095 13455200 13586848 13601984 14007725 14036000 14189120 14641000 14800720 15439600 15456800 15608032 16105100 16124000 16280792 16819000 16983560 17002480 17736400 17929888 18500900 18681916 18702728 18740480 19299500 19321000 19510040 20131375 20350990 20614528 21229450 21253100 21296000 21461044 21484952 21528320 22170500 22386089 22412360 22457600 23126125 23352395 23378410 23425600 23681152 24387550 24464000 24653596 24703360 24730880 25716251 25768160 25798400 26566375 26826305 26856190 26910400 27173696 27203968 28015450 28072000 28378240 29282000 29541809 29601440 30816995 30879200 30913600 31216064 32210200 32248000 32561584 33638000 33967120 34004960 35472800 35859776 37001800 37363832 37405456 38599000 38642000 39020080 40262750 40701980 41229056 42458900 42506200 42592000 42922088 42969904 44341000 44772178 44824720 46252250 46704790 46756820 46851200 47362304 48775100 48928000 49307192 49406720 50877475 51432502 51536320 53073625 53132750 53652610 53712380 53820800 54347392 54407936 56030900 56144000 56756480 58446025 58564000 59017871 59083618 59202880 60968875 61633990 61758400 61827200 62432128 64420400 64496000 65123168 67140475 67276000 67797389 67934240 68009920 70038625 70945600 71719552 74003600 74727664 74810912 77198000 77284000 77882951 78040160 80525500 81403960 84917800 85012400 85844176 85939808 88682000 89544356 89649440 92504500 93409580 93513640 93702400 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829297662248 830971623680 856712461000 865043251138 893639722250 902383247590 905212035200 915087075584 942383707100 944285936000 945337888000 954587237120 983003694475 995733238720 1025435508625 1036622077810 1038714529600 1039871676800 1050045960832 1084758224000 1096591950080 1131515044000 1140284285591 1143858844480 1177979633875 1193234046400 1206251145088 1244666548400 1246127216000 1258244728928 1298393162000 1299839596000 1312557451040 1370739937600 1429823555600 1443813196144 1491542558000 1507813931360 1555833185500 1572805911160 1640696813800 1658595324496 1713424922000 1730086502276 1787279444500 1804766495180 1810424070400 1884767414200 1888571872000 1966007388950 1991466477440 2050871017250 2073244155620 2077429059200 2079743353600 2100091921664 2162608127845 2169516448000 2255958118975 2263030088000 2280568571182 2287717688960 2355959267750 2386468092800 2412502290176 2489333096800 2492254432000 2516489457856 2591555194525 2596786324000 2599679192000 2625114902080 2741479875200 2859647111200 2887626392288 2983085116000 3015627862720 3111666371000 3145611822320 3281393627600 3317190648992 3426849844000 3460173004552 3574558889000 3609532990360 3769534828400 3932014777900 3982932954880 4101742034500 4146488311240 4154858118400 4325216255690 4511916237950 4526060176000 4561137142364 4575435377920 4711918535500 4772936185600 4915018472375 4978666193600 5032978915712 5183110389050 5193572648000 5199358384000 5250229804160 5482959750400 5701421427955 5719294222400 5775252784576 5966170232000 6031255725440 6223332742000 6291223644640 6562787255200 6634381297984 6853699688000 6920346009104 7149117778000 7219065980720 7539069656800 7864029555800 8203484069000 8292976622480 8650432511380 9023832475900 9052120352000 9122274284728 9423837071000 9830036944750 9957332387200 10065957831424 10366220778100 10387145296000 10398716768000 10500459608320 10813040639225 11279790594875 11402842855910 11438588444800 11550505569152 11932340464000 12062511450880 12446665484000 12543127141501 12582447289280 12957775972625 13125574510400 13268762595968 13707399376000 13840692018208 14298235556000 14438131961440 15078139313600 15728059111600 16406968138000 16585953244960 17300865022760 18047664951800 18244548569456 18847674142000 19660073889500 19914664774400 20732441556200 20774290592000 21626081278450 22559581189750 22805685711820 22877176889600 23101011138304 23864680928000 24893330968000 25086254283002 25164894578560 25915551945250 26251149020800 26537525191936 27414798752000 27681384036416 28507107139775 28596471112000 28876263922880 30156278627200 31456118223200 32813936276000 33171906489920 34601730045520 36095329903600 36489097138912 37695348284000 39320147779000 41464883112400 43252162556900 45119162379500 45611371423640 49786661936000 50172508566004 50329789157120 51831103890500 52502298041600 54065203196125 55362768072832 57014214279550 57192942224000 57752527845760 60312557254400 62715635707505 62912236446400 65627872552000 66343812979840 69203460091040 72190659807200 72978194277824 75390696568000 78640295558000 82929766224800 86504325113800 90238324759000 91222742847280 99573323872000 100345017132008 103662207781000 108130406392250 110725536145664 114028428559100 114385884448000 115505055691520 125431271415010 125824472892800 131255745104000 132687625959680 138406920182080 142535535698875 144381319614400 145956388555648 150781393136000 157280591116000 165859532449600 173008650227600 180476649518000 182445485694560 200690034264016 207324415562000 216260812784500 228056857118200 250862542830020 251648945785600 262511490208000 276813840364160 285071071397750 288762639228800 291912777111296 301562786272000 313578178537525 314561182232000 331719064899200 346017300455200 360953299036000 364890971389120 401380068528032 414648831124000 432521625569000 456113714236400 501725085660040 553627680728320 570142142795500 577525278457600 627156357075050 629122364464000 663438129798400 692034600910400 721906598072000 729781942778240 802760137056064 829297662248000 865043251138000 912227428472800 1003450171320080 1140284285591000 1254312714150100 1258244728928000 1384069201820800 1443813196144000 1459563885556480 1567890892687625 1605520274112128 1658595324496000 1730086502276000 1824454856945600 2006900342640160 2280568571182000 2508625428300200 2768138403641600 2887626392288000 3135781785375250 3211040548224256 3317190648992000 3460173004552000 3648909713891200 4013800685280320 4561137142364000 5017250856600400 6271563570750500 6920346009104000 7297819427782400 8027601370560640 9122274284728000 10034501713200800 12543127141501000 13840692018208000 16055202741121280 18244548569456000 20069003426401600 25086254283002000 36489097138912000 40138006852803200 50172508566004000 80276013705606400 100345017132008000 200690034264016000 401380068528032000
- Sum of all divisors σ(n): 1146047801732870400
- Sum of proper divisors (its aliquot sum) s(n): 744667733204838400
- 401380068528032000 is an abundant number, because the sum of its proper divisors (744667733204838400) is greater than itself. Its abundance is 343287664676806400
Bases of 401380068528032000
- Binary: 101100100011111110100001011101101001000100100001001000000002
- Hexadecimal: 0x591FD0BB4890900
- Base-36: 31S5CXXFBSOW
Squares and roots of 401380068528032000
- 401380068528032000 squared (4013800685280320002) is 161105959411567664411169793024000000
- 401380068528032000 cubed (4013800685280320003) is 64664721028889371087965408457877853782048768000000000
-
The
square root of 401380068528032000 is 633545632.5538295433 -
The
cube root of 401380068528032000 is 737652.6963898693
Scales and comparisons
How big is 401380068528032000?- 401,380,068,528,032,000 seconds is equal to 12,762,644,629 years, 6 weeks, 2 days, 8 hours, 53 minutes, 20 seconds.
-
To count from 1 to 401,380,068,528,032,000 would take you about thirty-eight billion, two hundred eighty-seven million, nine hundred thirty-three thousand, eight hundred eighty-seven 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 401380068528032000 cubic inches would be around 61471.1 feet tall.
Recreational maths with 401380068528032000
- 401380068528032000 backwards is 000230825860083104
- 401380068528032000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 401380068528032000's digits is 50
- More coming soon!
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Numbermatics. (2024). Number 401380068528032000 - Facts about the integer. Retrieved 24 September 2024, from https://numbermatics.com/n/401380068528032000/
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The information we have on file for 401380068528032000 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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