3997381344384000
3,997,381,344,384,000 is an even composite number composed of six prime numbers multiplied together.
3997381344384000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 3997381344384000:
210 × 3 × 53 × 372 × 59 × 3592
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 37 × 37 × 59 × 359 × 359)See below for interesting mathematical facts about the number 3997381344384000 from the Numbermatics database.
Names of 3997381344384000
- Cardinal: 3997381344384000 can be written as Three quadrillion, nine hundred ninety-seven trillion, three hundred eighty-one billion, three hundred forty-four million, three hundred eighty-four thousand.
Scientific notation
- Scientific notation: 3.997381344384 × 1015
Factors of 3997381344384000
Divisors of 3997381344384000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 37 40 48 50 59 60 64 74 75 80 96 100 111 118 120 125 128 148 150 160 177 185 192 200 222 236 240 250 256 295 296 300 320 354 359 370 375 384 400 444 472 480 500 512 555 590 592 600 640 708 718 740 750 768 800 885 888 925 944 960 1000 1024 1077 1110 1180 1184 1200 1280 1369 1416 1436 1475 1480 1500 1536 1600 1770 1776 1795 1850 1888 1920 2000 2154 2183 2220 2360 2368 2400 2560 2738 2775 2832 2872 2950 2960 3000 3072 3200 3540 3552 3590 3700 3776 3840 4000 4107 4308 4366 4425 4440 4625 4720 4736 4800 5120 5385 5476 5550 5664 5744 5900 5920 6000 6400 6549 6845 7080 7104 7180 7375 7400 7552 7680 8000 8214 8616 8732 8850 8880 8975 9250 9440 9472 9600 10770 10915 10952 11100 11328 11488 11800 11840 12000 12800 13098 13283 13690 13875 14160 14208 14360 14750 14800 15104 15360 16000 16428 17232 17464 17700 17760 17950 18500 18880 18944 19200 20535 21181 21540 21830 21904 22125 22200 22656 22976 23600 23680 24000 25600 26196 26566 26925 27380 27750 28320 28416 28720 29500 29600 30208 32000 32745 32856 34225 34464 34928 35400 35520 35900 37000 37760 37888 38400 39849 41070 42362 43080 43660 43808 44250 44400 44875 45312 45952 47200 47360 48000 52392 53132 53850 54575 54760 55500 56640 56832 57440 59000 59200 60416 63543 64000 65490 65712 66415 68450 68928 69856 70800 71040 71800 74000 75520 76800 79698 80771 82140 84724 86160 87320 87616 88500 88800 89750 90624 91904 94400 94720 96000 102675 104784 105905 106264 107700 109150 109520 111000 113280 113664 114880 118000 118400 127086 128000 128881 130980 131424 132830 134625 136900 137856 139712 141600 142080 143600 148000 151040 159396 161542 163725 164280 169448 171125 172320 174640 175232 177000 177600 179500 181248 183808 188800 189440 192000 199245 205350 209568 211810 212528 215400 218300 219040 222000 226560 229760 236000 236800 242313 254172 257762 261960 262848 265660 269250 272875 273800 275712 279424 283200 284160 287200 296000 302080 317715 318792 323084 327450 328560 332075 338896 342250 344640 349280 350464 354000 355200 359000 367616 377600 384000 386643 398490 403855 410700 419136 423620 425056 430800 436600 438080 444000 453120 459520 472000 473600 484626 491471 508344 513375 515524 523920 525696 529525 531320 538500 545750 547600 551424 558848 566400 568320 574400 592000 635430 637584 644405 646168 654900 657120 664150 677792 684500 689280 698560 700928 708000 710400 718000 755200 773286 783697 796980 807710 818625 821400 838272 847240 850112 861600 873200 876160 888000 906240 919040 944000 947200 969252 982942 996225 1016688 1026750 1031048 1047840 1051392 1059050 1062640 1077000 1091500 1095200 1102848 1117696 1132800 1148800 1184000 1211565 1270860 1275168 1288810 1292336 1309800 1314240 1328300 1355584 1369000 1378560 1397120 1401856 1416000 1420800 1436000 1474413 1510400 1546572 1567394 1588575 1593960 1615420 1637250 1642800 1660375 1676544 1694480 1700224 1723200 1746400 1752320 1776000 1838080 1888000 1933215 1938504 1965884 1992450 2019275 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45623874000 45778531200 46394862400 47181216000 48665465600 49490304000 50156608000 52049236255 52931426700 54018666816 55673834880 56269444600 56460188480 57223164000 57993578000 58398558720 60187929600 60831832000 61038041600 62459083506 62908288000 66164283375 67523333520 67752226176 69592293600 70336805750 70575235600 72024889088 72998198400 73245649920 74231779840 75234912000 76297552000 83278778008 84404166900 84690282720 86990367000 88219044500 89078135808 90031111360 90336301568 91247748000 91557062400 92789724800 94362432000 97330931200 100313216000 104098472510 105505208625 105862853400 108037333632 111347669760 112538889200 112920376960 114446328000 115987156000 116797117440 121663664000 122076083200 124918167012 132328566750 135046667040 135504452352 139184587200 140673611500 141150471200 144049778176 145996396800 148463559680 150469824000 152595104000 156147708765 166557556016 168808333800 169380565440 173980734000 176438089000 180062222720 180672603136 182495496000 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1040984725100 1058628534000 1080373336320 1113476697600 1125388892000 1129203769600 1249181670120 1301230906375 1332460448128 1350466670400 1355044523520 1391845872000 1411504712000 1440497781760 1459963968000 1561477087650 1665575560160 1688083338000 1693805654400 1800622227200 1831141248000 1855794496000 1998690672192 2081969450200 2117257068000 2160746672640 2226953395200 2250777784000 2258407539200 2498363340240 2602461812750 2664920896256 2700933340800 2710089047040 2783691744000 2823009424000 2919927936000 3122954175300 3331151120320 3376166676000 3387611308800 3601244454400 3711588992000 3903692719125 3997381344384 4163938900400 4234514136000 4321493345280 4501555568000 4516815078400 4996726680480 5204923625500 5329841792512 5401866681600 5567383488000 5646018848000 6245908350600 6662302240640 6752333352000 6775222617600 7202488908800 7807385438250 7994762688768 8327877800800 8469028272000 9003111136000 9993453360960 10409847251000 10659683585024 10803733363200 11134766976000 11292037696000 12491816701200 13324604481280 13504666704000 13550445235200 15614770876500 15989525377536 16655755601600 16938056544000 18006222272000 19986906721920 20819694502000 21607466726400 22584075392000 24983633402400 26649208962560 27009333408000 31229541753000 31979050755072 33311511203200 33876113088000 36012444544000 39973813443840 41639389004000 49967266804800 53298417925120 54018666816000 62459083506000 66623022406400 67752226176000 79947626887680 83278778008000 99934533609600 108037333632000 124918167012000 133246044812800 159895253775360 166557556016000 199869067219200 249836334024000 266492089625600 333115112032000 399738134438400 499672668048000 666230224064000 799476268876800 999345336096000 1332460448128000 1998690672192000 3997381344384000
- Sum of all divisors σ(n): 13936319358212160
- Sum of proper divisors (its aliquot sum) s(n): 9938938013828160
- 3997381344384000 is an abundant number, because the sum of its proper divisors (9938938013828160) is greater than itself. Its abundance is 5941556669444160
Bases of 3997381344384000
- Binary: 11100011001110011000110111110001000001010100000000002
- Hexadecimal: 0xE3398DF105400
- Base-36: 13CYBMZ49HC
Squares and roots of 3997381344384000
- 3997381344384000 squared (39973813443840002) is 15979057612429235208339456000000
- 3997381344384000 cubed (39973813443840003) is 63874386800761765465176920953511215104000000000
-
The
square root of 3997381344384000 is 63224847.5236121071 -
The
cube root of 3997381344384000 is 158705.4571624507
Scales and comparisons
How big is 3997381344384000?- 3,997,381,344,384,000 seconds is equal to 127,104,362 years, 2 weeks, 5 hours, 20 minutes.
-
To count from 1 to 3,997,381,344,384,000 would take you about three hundred eighty-one million, three hundred thirteen thousand and eighty-six 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 3997381344384000 cubic inches would be around 13225.5 feet tall.
Recreational maths with 3997381344384000
- 3997381344384000 backwards is 0004834431837993
- The number of decimal digits it has is: 16
- The sum of 3997381344384000's digits is 66
- More coming soon!
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The information we have on file for 3997381344384000 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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