137272382021027683584
137,272,382,021,027,683,584 is an even composite number composed of six prime numbers multiplied together.
What does the number 137272382021027683584 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
137272382021027683584 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137272382021027683584:
28 × 33 × 7 × 112 × 232 × 2105332
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 11 × 23 × 23 × 210533 × 210533)See below for interesting mathematical facts about the number 137272382021027683584 from the Numbermatics database.
Names of 137272382021027683584
- Cardinal: 137272382021027683584 can be written as One hundred thirty-seven quintillion, two hundred seventy-two quadrillion, three hundred eighty-two trillion, twenty-one billion, twenty-seven million, six hundred eighty-three thousand, five hundred eighty-four.
Scientific notation
- Scientific notation: 1.37272382021027683584 × 1020
Factors of 137272382021027683584
Divisors of 137272382021027683584
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 23 24 27 28 32 33 36 42 44 46 48 54 56 63 64 66 69 72 77 84 88 92 96 99 108 112 121 126 128 132 138 144 154 161 168 176 184 189 192 198 207 216 224 231 242 252 253 256 264 276 288 297 308 322 336 352 363 368 378 384 396 414 432 448 462 483 484 504 506 528 529 552 576 594 616 621 644 672 693 704 726 736 756 759 768 792 828 847 864 896 924 966 968 1008 1012 1056 1058 1089 1104 1152 1188 1232 1242 1288 1344 1386 1408 1449 1452 1472 1512 1518 1584 1587 1656 1694 1728 1771 1792 1848 1932 1936 2016 2024 2079 2112 2116 2178 2208 2277 2304 2376 2464 2484 2541 2576 2688 2772 2783 2816 2898 2904 2944 3024 3036 3168 3174 3267 3312 3388 3456 3542 3696 3703 3864 3872 4032 4048 4158 4224 4232 4347 4356 4416 4554 4752 4761 4928 4968 5082 5152 5313 5376 5544 5566 5796 5808 5819 5888 6048 6072 6336 6348 6534 6624 6776 6831 6912 7084 7392 7406 7623 7728 7744 8064 8096 8316 8349 8448 8464 8694 8712 8832 9108 9504 9522 9856 9936 10164 10304 10626 11088 11109 11132 11592 11616 11638 12096 12144 12672 12696 13068 13248 13552 13662 14168 14283 14784 14812 15246 15456 15488 15939 16128 16192 16632 16698 16928 17388 17424 17457 17664 18216 19008 19044 19481 19712 19872 20328 20608 21252 22176 22218 22264 22869 23184 23232 23276 24192 24288 25047 25344 25392 26136 26496 27104 27324 28336 28566 29568 29624 30492 30912 30976 31878 32384 33264 33327 33396 33856 34776 34848 34914 36432 38016 38088 38962 39744 40656 40733 41216 42504 44352 44436 44528 45738 46368 46464 46552 47817 48384 48576 50094 50784 52272 52371 52992 54208 54648 56672 57132 58443 59136 59248 60984 61824 63756 64009 64768 66528 66654 66792 67712 69552 69696 69828 72864 75141 76032 76176 77924 79488 81312 81466 85008 88704 88872 89056 91476 92736 92928 93104 95634 97152 99981 100188 101568 104544 104742 108416 109296 113344 114264 116886 118496 121968 122199 123648 127512 128018 133056 133308 133584 135424 139104 139392 139656 145728 150282 152352 155848 157113 158976 162624 162932 170016 175329 177408 177744 178112 182952 185472 186208 191268 192027 194304 199962 200376 203136 209088 209484 210533 216832 218592 226688 228528 233772 236992 243936 244398 255024 256036 266112 266616 267168 278208 278784 279312 291456 300564 304704 311696 314226 325248 325864 340032 350658 355488 356224 365904 366597 370944 372416 382536 384054 399924 400752 406272 418176 418968 421066 437184 448063 453376 457056 467544 473984 487872 488796 510048 512072 525987 532224 533232 534336 556416 558624 576081 582912 601128 609408 623392 628452 631599 650496 651728 680064 701316 710976 712448 731808 733194 744832 765072 768108 799848 801504 836352 837936 842132 874368 896126 914112 935088 947968 975744 977592 1020096 1024144 1051974 1066464 1068672 1099791 1112832 1117248 1152162 1202256 1218816 1246784 1256904 1263198 1303456 1344189 1360128 1402632 1421952 1463616 1466388 1473731 1489664 1530144 1536216 1599696 1603008 1675872 1684264 1728243 1748736 1792252 1828224 1870176 1894797 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24662662957425024 24760530667573536 25534297250935209 25837075479207168 26644484087932392 27011488000989312 27631316831929888 27855597001020228 28832678433318144 28887285778835792 30143254725741696 31085231435921124 31513402667820864 31578647807919872 32436763237482912 32498196501190266 33014040890098048 33911161566459408 34045729667913612 35452578001298472 35525978783909856 37070586557123328 37140796001360304 38755613218810752 39720017945899214 40517232001483968 41446975247894832 42017870223761152 43249017649977216 43330928668253688 45214882088612544 45394306223884816 46627847153881686 47270104001731296 47367971711879808 48747294751785399 49325325914850048 49521061335147072 51068594501870418 53288968175864784 54022976001978624 55262633663859776 55711194002040456 57774571557671584 59580026918848821 60286509451483392 62170462871842248 63026805335641728 64873526474965824 64996393002380532 66028081780196096 67822323132918816 68091459335827224 70905156002596944 71051957567819712 74281592002720608 76602891752805627 77511226437621504 79440035891798428 81034464002967936 82893950495789664 86498035299954432 86661857336507376 90429764177225088 90788612447769632 93255694307763372 94540208003462592 94735943423759616 97494589503570798 99042122670294144 102137189003740836 106577936351729568 110525267327719552 111422388004080912 115549143115343168 119160053837697642 124340925743684496 126053610671283456 129747052949931648 129992786004761064 135644646265837632 136182918671654448 141810312005193888 142103915135639424 148563184005441216 153205783505611254 158880071783596856 162068928005935872 165787900991579328 173323714673014752 178740080756546463 180859528354450176 181577224895539264 186511388615526744 189080416006925184 194989179007141596 198084245340588288 204274378007481672 213155872703459136 221050534655439104 222844776008161824 231098286230686336 238320107675395284 248681851487368992 259494105899863296 259985572009522128 271289292531675264 272365837343308896 283620624010387776 284207830271278848 297126368010882432 306411567011222508 317760143567193712 331575801983158656 346647429346029504 357480161513092926 363154449791078528 373022777231053488 378160832013850368 389978358014283192 408548756014963344 426311745406918272 445689552016323648 462196572461372672 476640215350790568 497363702974737984 519971144019044256 536220242269639389 542578585063350528 544731674686617792 567241248020775552 594252736021764864 612823134022445016 635520287134387424 663151603966317312 693294858692059008 714960323026185852 726308899582157056 746045554462106976 779956716028566384 817097512029926688 852623490813836544 891379104032647296 953280430701581136 994727405949475968 1039942288038088512 1072440484539278778 1089463349373235584 1134482496041551104 1225646268044890032 1271040574268774848 1386589717384118016 1429920646052371704 1492091108924213952 1559913432057132768 1634195024059853376 1782758208065294592 1906560861403162272 1989454811898951936 2079884576076177024 2144880969078557556 2178926698746471168 2451292536089780064 2542081148537549696 2859841292104743408 2984182217848427904 3119826864114265536 3268390048119706752 3813121722806324544 4159769152152354048 4289761938157115112 4902585072179560128 5084162297075099392 5719682584209486816 5968364435696855808 6239653728228531072 6536780096239413504 7626243445612649088 8579523876314230224 9805170144359120256 11439365168418973632 12479307456457062144 15252486891225298176 17159047752628460448 19610340288718240512 22878730336837947264 34318095505256920896 45757460673675894528 68636191010513841792 137272382021027683584
- Sum of all divisors σ(n): 533077155399472255040
- Sum of proper divisors (its aliquot sum) s(n): 395804773378444571456
- 137272382021027683584 is an abundant number, because the sum of its proper divisors (395804773378444571456) is greater than itself. Its abundance is 258532391357416887872
Bases of 137272382021027683584
- Binary: 11101110001000010010111100000100101110110110001001011011101000000002
- Hexadecimal: 0x771097825DB12DD00
- Base-36: SYXIU8MPIXXC0
Squares and roots of 137272382021027683584
- 137272382021027683584 squared (1372723820210276835842) is 18843706865726964427478117652908823085056
- 137272382021027683584 cubed (1372723820210276835843) is 2586720527564334074111342445208876946791517192426392286920704
-
The
square root of 137272382021027683584 is 11716329716.2988582217 -
The
cube root of 137272382021027683584 is 5158550.9374366551
Scales and comparisons
How big is 137272382021027683584?- 137,272,382,021,027,683,584 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,272,382,021,027,683,584 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 137272382021027683584 cubic inches would be around 429879.2 feet tall.
Recreational maths with 137272382021027683584
- 137272382021027683584 backwards is 485386720120283272731
- The number of decimal digits it has is: 21
- The sum of 137272382021027683584's digits is 81
- More coming soon!
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"Number 137272382021027683584 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 137272382021027683584 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/137272382021027683584/
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Numbermatics. 2024. "Number 137272382021027683584 - Facts about the integer". https://numbermatics.com/n/137272382021027683584/
The information we have on file for 137272382021027683584 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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