42210975485398752000
42,210,975,485,398,752,000 is an even composite number composed of five prime numbers multiplied together.
42210975485398752000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 42210975485398752000:
28 × 33 × 53 × 1393 × 2633
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 139 × 139 × 139 × 263 × 263 × 263)See below for interesting mathematical facts about the number 42210975485398752000 from the Numbermatics database.
Names of 42210975485398752000
- Cardinal: 42210975485398752000 can be written as Forty-two quintillion, two hundred ten quadrillion, nine hundred seventy-five trillion, four hundred eighty-five billion, three hundred ninety-eight million, seven hundred fifty-two thousand.
Scientific notation
- Scientific notation: 4.2210975485398752 × 1019
Factors of 42210975485398752000
Divisors of 42210975485398752000
- Number of divisors d(n): 2304
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 125 128 135 139 144 150 160 180 192 200 216 225 240 250 256 263 270 278 288 300 320 360 375 384 400 417 432 450 480 500 526 540 556 576 600 640 675 695 720 750 768 789 800 834 864 900 960 1000 1052 1080 1112 1125 1152 1200 1251 1280 1315 1350 1390 1440 1500 1578 1600 1668 1728 1800 1920 2000 2085 2104 2160 2224 2250 2304 2367 2400 2502 2630 2700 2780 2880 3000 3156 3200 3336 3375 3456 3475 3600 3753 3840 3945 4000 4170 4208 4320 4448 4500 4734 4800 5004 5260 5400 5560 5760 6000 6255 6312 6400 6575 6672 6750 6912 6950 7101 7200 7506 7890 8000 8340 8416 8640 8896 9000 9468 9600 10008 10425 10520 10800 11120 11520 11835 12000 12510 12624 13150 13344 13500 13900 14202 14400 15012 15780 16000 16680 16832 17280 17375 17792 18000 18765 18936 19200 19321 19725 20016 20850 21040 21600 22240 23670 24000 25020 25248 26300 26688 27000 27800 28404 28800 30024 31275 31560 32000 32875 33360 33664 34560 34750 35505 35584 36000 36557 37530 37872 38642 39450 40032 41700 42080 43200 44480 47340 48000 50040 50496 52125 52600 53376 54000 55600 56808 57600 57963 59175 60048 62550 63120 65750 66720 67328 69169 69500 71010 72000 73114 75060 75744 77284 78900 80064 83400 84160 86400 88960 93825 94680 96000 96605 98625 100080 100992 104250 105200 106752 108000 109671 111200 113616 115926 118350 120096 125100 126240 131500 133440 138338 139000 142020 144000 146228 150120 151488 154568 156375 157800 160128 166800 168320 172800 173889 177525 177920 182785 187650 189360 193210 197250 200160 201984 207507 208500 210400 216000 219342 222400 227232 231852 236700 240192 250200 252480 263000 266880 276676 278000 284040 288000 289815 292456 295875 300240 302976 309136 312750 315600 320256 329013 333600 336640 345845 347778 355050 365570 375300 378720 386420 394500 400320 415014 417000 420800 432000 438684 444800 454464 463704 469125 473400 480384 483025 500400 504960 521667 526000 533760 548355 553352 556000 568080 579630 584912 591750 600480 605952 618272 622521 625500 631200 658026 667200 691690 695556 710100 731140 750600 757440 772840 789000 800640 830028 834000 841600 864000 869445 877368 887625 889600 908928 913925 927408 938250 946800 960768 966050 987039 1000800 1009920 1037535 1043334 1052000 1096710 1106704 1112000 1136160 1159260 1169824 1183500 1200960 1236544 1245042 1251000 1262400 1316052 1334400 1383380 1391112 1420200 1449075 1462280 1501200 1514880 1545680 1578000 1601280 1645065 1660056 1668000 1683200 1729225 1738890 1754736 1775250 1817856 1827850 1854816 1867563 1876500 1893600 1932100 1974078 2001600 2075070 2086668 2104000 2193420 2213408 2224000 2272320 2318520 2339648 2367000 2401920 2415125 2473088 2490084 2502000 2524800 2608335 2632104 2668800 2685619 2741775 2766760 2782224 2840400 2898150 2924560 3002400 3029760 3091360 3112605 3156000 3290130 3320112 3336000 3458450 3477780 3509472 3550500 3655700 3709632 3735126 3753000 3787200 3864200 3948156 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263607710615250 267496676079840 269934295670016 273090002364000 278642370916500 281181557989600 288665477784000 293131774204158 297218528977600 303676082628768 305129288304000 316329252738300 320996011295808 334370845099800 337417869587520 351476947487000 356662234773120 364120003152000 371523161222000 379595103285960 384887303712000 390842365605544 395411565922875 401245014119760 404901443505024 417963556374750 421772336984400 427994681727744 436944003782400 439697661306237 445827793466400 449890492783360 474493879107450 488552957006930 501556267649700 506126804381280 527215421230500 534993352159680 546180004728000 557284741833000 562363115979200 577330955568000 586263548408316 594437057955200 607352165257536 610258576608000 626945334562125 632658505476600 641992022591616 668741690199600 674835739175040 702953894974000 713324469546240 728240006304000 732829435510395 743046322444000 759190206571920 781684731211088 790823131845750 802490028239520 809802887010048 835927112749500 843544673968800 879395322612474 891655586932800 948987758214900 977105914013860 1003112535299400 1012253608762560 1054430842461000 1069986704319360 1092360009456000 1114569483666000 1124726231958400 1154661911136000 1172527096816632 1186234697768625 1188874115910400 1214704330515072 1221382392517325 1253890669124250 1265317010953200 1283984045183232 1319092983918711 1337483380399200 1349671478350080 1405907789948000 1465658871020790 1486092644888000 1518380413143840 1563369462422176 1581646263691500 1604980056479040 1671854225499000 1687089347937600 1758790645224948 1783311173865600 1897975516429800 1954211828027720 2006225070598800 2024507217525120 2108861684922000 2139973408638720 2184720018912000 2198488306531185 2229138967332000 2249452463916800 2345054193633264 2372469395537250 2429408661030144 2442764785034650 2507781338248500 2530634021906400 2638185967837422 2674966760798400 2811815579896000 2931317742041580 2972185289776000 3036760826287680 3126738924844352 3163292527383000 3209960112958080 3343708450998000 3374178695875200 3517581290449896 3566622347731200 3664147177551975 3795951032859600 3908423656055440 4012450141197600 4049014435050240 4217723369844000 4396976613062370 4458277934664000 4690108387266528 4744938791074500 4885529570069300 5015562676497000 5061268043812800 5276371935674844 5349933521596800 5623631159792000 5862635484083160 5944370579552000 6073521652575360 6106911962586625 6253477849688704 6326585054766000 6419920225916160 6595464919593555 6687416901996000 6748357391750400 7035162580899792 7328294355103950 7591902065719200 7816847312110880 8024900282395200 8435446739688000 8793953226124740 8916555869328000 9380216774533056 9489877582149000 9771059140138600 10031125352994000 10122536087625600 10552743871349688 10699867043193600 10992441532655925 11247262319584000 11725270968166320 12147043305150720 12213823925173250 12506955699377408 12653170109532000 13190929839187110 13374833803992000 14070325161799584 14656588710207900 15183804131438400 15633694624221760 16049800564790400 16870893479376000 17587906452249480 17833111738656000 18320735887759875 18760433549066112 18979755164298000 19542118280277200 20062250705988000 20245072175251200 21105487742699376 21984883065311850 23450541936332640 24427647850346500 25306340219064000 26381859678374220 26749667607984000 28140650323599168 29313177420415800 30367608262876800 31267389248443520 32099601129580800 32977324597967775 33741786958752000 35175812904498960 36641471775519750 37520867098132224 37959510328596000 39084236560554400 40124501411976000 42210975485398752 43969766130623700 46901083872665280 48855295700693000 50612680438128000 52763719356748440 53499335215968000 54962207663279625 56281300647198336 58626354840831600 60735216525753600 62534778496887040 65954649195935550 70351625808997920 73282943551039500 75919020657192000 78168473121108800 80249002823952000 84421950970797504 87939532261247400 93802167745330560 97710591401386000 101225360876256000 105527438713496880 109924415326559250 112562601294396672 117252709681663200 131909298391871100 140703251617995840 146565887102079000 151838041314384000 156336946242217600 160498005647904000 164886622989838875 168843901941595008 175879064522494800 187604335490661120 195421182802772000 211054877426993760 219848830653118500 234505419363326400 263818596783742200 281406503235991680 293131774204158000 303676082628768000 312673892484435200 329773245979677750 337687803883190016 351758129044989600 390842365605544000 422109754853987520 439697661306237000 469010838726652800 527637193567484400 562813006471983360 586263548408316000 659546491959355500 703516258089979200 781684731211088000 844219509707975040 879395322612474000 938021677453305600 1055274387134968800 1172527096816632000 1319092983918711000 1407032516179958400 1563369462422176000 1688439019415950080 1758790645224948000 2110548774269937600 2345054193633264000 2638185967837422000 2814065032359916800 3517581290449896000 4221097548539875200 4690108387266528000 5276371935674844000 7035162580899792000 8442195097079750400 10552743871349688000 14070325161799584000 21105487742699376000 42210975485398752000
- Sum of all divisors σ(n): 157509700540448256000
- Sum of proper divisors (its aliquot sum) s(n): 115298725055049504000
- 42210975485398752000 is an abundant number, because the sum of its proper divisors (115298725055049504000) is greater than itself. Its abundance is 73087749569650752000
Bases of 42210975485398752000
- Binary: 1001001001110010111000001010001111100001011110101000011011000000002
- Hexadecimal: 0x249CB828F85EA1B00
- Base-36: 8WP6603W45HC0
Squares and roots of 42210975485398752000
- 42210975485398752000 squared (422109754853987520002) is 1781766451428934407018348443157504000000
- 42210975485398752000 cubed (422109754853987520003) is 75210100001972676410364708531976697816195381035008000000000
-
The
square root of 42210975485398752000 is 6496997420.7628212663 -
The
cube root of 42210975485398752000 is 3481837.2154080881
Scales and comparisons
How big is 42210975485398752000?- 42,210,975,485,398,752,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 42,210,975,485,398,752,000 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 42210975485398752000 cubic inches would be around 290153.1 feet tall.
Recreational maths with 42210975485398752000
- 42210975485398752000 backwards is 00025789358457901224
- The number of decimal digits it has is: 20
- The sum of 42210975485398752000's digits is 81
- More coming soon!
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"Number 42210975485398752000 - Facts about the integer". Numbermatics.com. 2024. Web. 11 May 2024.
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Numbermatics. (2024). Number 42210975485398752000 - Facts about the integer. Retrieved 11 May 2024, from https://numbermatics.com/n/42210975485398752000/
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The information we have on file for 42210975485398752000 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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