138277477748664072
138,277,477,748,664,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 138277477748664072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1536 divisors.
138277477748664072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, five hundred thirty-six divisors.
Prime factorization of 138277477748664072:
23 × 33 × 7 × 132 × 293 × 2813
(2 × 2 × 2 × 3 × 3 × 3 × 7 × 13 × 13 × 29 × 29 × 29 × 281 × 281 × 281)See below for interesting mathematical facts about the number 138277477748664072 from the Numbermatics database.
Names of 138277477748664072
- Cardinal: 138277477748664072 can be written as One hundred thirty-eight quadrillion, two hundred seventy-seven trillion, four hundred seventy-seven billion, seven hundred forty-eight million, six hundred sixty-four thousand and seventy-two.
Scientific notation
- Scientific notation: 1.38277477748664072 × 1017
Factors of 138277477748664072
Divisors of 138277477748664072
- Number of divisors d(n): 1536
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 29 36 39 42 52 54 56 58 63 72 78 84 87 91 104 108 116 117 126 156 168 169 174 182 189 203 216 232 234 252 261 273 281 312 338 348 351 364 377 378 406 468 504 507 522 546 562 609 676 696 702 728 754 756 783 812 819 841 843 936 1014 1044 1092 1124 1131 1183 1218 1352 1404 1508 1512 1521 1566 1624 1638 1682 1686 1827 1967 2028 2088 2184 2248 2262 2366 2436 2457 2523 2529 2639 2808 3016 3042 3132 3276 3364 3372 3393 3549 3653 3654 3934 4056 4524 4563 4732 4872 4901 4914 5046 5058 5278 5481 5887 5901 6084 6264 6552 6728 6744 6786 7098 7306 7308 7569 7587 7868 7917 8149 9048 9126 9464 9802 9828 10092 10116 10179 10556 10647 10933 10959 10962 11774 11802 12168 13572 14196 14612 14616 14703 15138 15174 15736 15834 16298 17661 17703 18252 19604 19656 20184 20232 20358 21112 21294 21866 21918 21924 22707 23548 23604 23751 24389 24447 25571 27144 28392 29224 29406 30276 30348 31668 31941 32596 32799 32877 34307 35322 35406 36504 39208 40716 42588 43732 43836 43848 44109 45414 47096 47208 47489 47502 48778 48894 51142 52983 53109 57043 58812 60552 60696 63336 63882 65192 65598 65754 68614 70644 70812 71253 73167 73341 76531 76713 78961 81432 85176 87464 87672 88218 90828 94978 95004 97556 97788 98397 98631 102284 102921 105937 105966 106218 114086 117624 127764 131196 131508 132327 137228 141288 141624 142129 142467 142506 146334 146682 153062 153426 157922 158949 170723 171129 176436 181656 189956 190008 195112 195576 196794 197262 204568 205842 211874 211932 212436 219501 220023 228172 229593 230139 236321 236883 255528 262392 263016 264654 274456 284258 284934 285012 292668 293364 295191 306124 306852 308763 315844 317057 317811 317898 332423 341446 342258 352872 379912 393588 394524 411684 423748 423864 424872 426387 427401 439002 440046 456344 459186 460278 472642 473766 512169 513387 529308 552727 568516 569868 570024 585336 586728 590382 612248 613704 617526 631688 634114 635622 635796 658503 664846 682892 684516 688779 690417 708963 710649 741559 787176 789048 823368 847496 852774 854802 878004 880092 918372 920556 926289 945284 947532 951171 953433 994903 997269 1024338 1026493 1026774 1058616 1105454 1137032 1139736 1180764 1235052 1268228 1271244 1271592 1279161 1282203 1317006 1329692 1365784 1369032 1377181 1377558 1380834 1417926 1421298 1483118 1536507 1540161 1654247 1658181 1705548 1709604 1756008 1760184 1836744 1841112 1852578 1890568 1895064 1902342 1906866 1989806 1994538 2048676 2052986 2053548 2066337 2126889 2131947 2210908 2219399 2224677 2289869 2361528 2470104 2536456 2542488 2558322 2564406 2634012 2659384 2754362 2755116 2761668 2835852 2842596 2853513 2860299 2966236 2984709 2991807 3072173 3073014 3079479 3080322 3308494 3316362 3411096 3419208 3705156 3804684 3813732 3837483 3979612 3989076 4097352 4105972 4107096 4121741 4131543 4132674 4253778 4263894 4421816 4438798 4449354 4579738 4609521 4962741 4974543 5116644 5128812 5268024 5508724 5510232 5523336 5671704 5685192 5707026 5720598 5932472 5969418 5983614 6144346 6146028 6158958 6160644 6380667 6616988 6632724 6658197 6674031 6853309 6869607 7185451 7410312 7609368 7627464 7674966 7959224 7978152 8211944 8243482 8263086 8265348 8507556 8527788 8560539 8877596 8898708 8954127 8975421 9159476 9216519 9219042 9238437 9640267 9925482 9949086 10233288 10257624 11017448 11414052 11441196 11938836 11967228 12288692 12292056 12317916 12321288 12365223 12394629 12761334 13233976 13265448 13316394 13344409 13348062 13706618 13739214 14370902 14888223 14923629 15349932 16029083 16486964 16526172 16530696 17015112 17055576 17121078 17755192 17797416 17908254 17950842 18318952 18433038 18438084 18476874 19280534 19850964 19898172 19974591 20022093 20559927 20608821 21505211 21556353 22188041 22828104 22882392 23877672 23934456 24577384 24635832 24730446 24789258 25522668 26632788 26688818 26696124 26862381 27413236 27478428 27649557 27715311 28741804 28852187 28920801 29768297 29776446 29847258 30699864 32058166 32973928 33052344 34242156 35816508 35901684 36866076 36876168 36953748 37095669 37183887 38561068 39701928 39796344 39938249 39949182 40033227 40044186 41119854 41217642 43010422 43112706 44376082 44664669 47973163 48087249 49460892 49578516 51045336 53265576 53377636 53392248 53724762 54826472 54956856 55299114 55430622 57483608 57704374 57841602 59536594 59552892 59694516 59923773 61679781 61826463 64116332 64515633 64669059 66406201 66564123 68484312 71633016 71803368 73732152 73907496 74191338 74367774 77122136 79876498 79898364 80066454 80088372 82239708 82435284 82948671 86020844 86225412 86556561 86762403 88752164 89093017 89304891 89329338 93410863 95946326 96174498 98921784 99157032 106755272 107449524 110598228 110861244 111287007 115408748 115683204 119073188 119105784 119389032 119814747 119847546 120099681 123359562 123652926 128232664 129031266 129338118 132812402 133128246 143919489 144261747 148382676 148735548 155316287 159752996 159796728 160132908 160176744 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36033378584 36257785746 36344011158 37320284962 40441376409 40537550907 41695531956 41794688988 44890591876 44902880568 44997347148 45009665064 46218715896 46328629608 46617153102 48343714328 48458681544 48644787282 48760470486 50070275554 50189348742 50203087956 51996055383 52496905006 53921835212 54050067876 54386678619 54516016737 55980427443 58554240199 60386632488 62156204136 62304019128 62543297934 64859716376 65013960648 66919131656 67335887814 67354320852 67496020722 69328073844 69492944412 72515571492 72688022316 72967180923 73140705729 74640569924 75105413331 75284023113 78558535783 78745357509 80882752818 81075101814 83391063912 83589377976 89781183752 89994694296 93234306204 97289574564 97520940972 100140551108 100378697484 100406175912 101003831721 101244031083 103992110766 104993810012 107843670424 108100135752 108743588941 108773357238 109032033474 111960854886 117108480398 121324129227 121612652721 125086595868 130620997367 134671775628 134708641704 134992041444 138656147688 138985888824 145031142984 145376044632 145934361846 146281411458 149281139848 150210826662 150568046226 157117071566 157490715018 161765505636 162150203628 163160035857 167941282329 175245964439 175662720597 186468612408 194579149128 195041881944 200281102216 200757394968 202007663442 202488062166 207984221532 209987620024 217487177882 217546714476 218064066948 218901542769 223921709772 225316239993 225852069339 234216960796 235675607349 236236072527 242581852253 242648258454 243225305442 250173191736 261241994734 269343551256 269984082888 291868723692 292562822916 300421653324 301136092452 303011495163 314234143132 314981430036 323531011272 324300407256 325456791101 326230766823 326320071714 335882564658 350491928878 351325441194 363972387681 391862992101 404015326884 404976124332 415968443064 434974355764 435093428952 436128133896 437803085538 447843419544 450632479986 451704138678 468433921592 471351214698 472472145054 485163704506 485296516908 486450610884 503823846987 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2183236670277 2278197537707 2283615367761 2351177952606 2424091961304 2603654328808 2609846134584 2703794879916 2828107288188 2834832870324 2910982227036 2911779101448 2929111119909 2936076901407 3044820490348 3134903936808 3153564079289 3154427359902 3161928970746 3246864791694 3396145931542 3526766928909 3788008923643 3905481493212 3914769201876 4030590775896 4205903146536 4215905294328 4242160932282 4329153055592 4366473340554 4556395075414 4567230735522 4702355905212 4731641039853 4870297187541 5094218897313 5407589759832 5656214576376 5669665740648 5821964454072 5858222239818 5872153802814 6089640980696 6307128158578 6308854719804 6323857941492 6493729583388 6549710010831 6792291863084 6834592613121 6850846103283 7034873715337 7053533857818 7576017847286 7810962986424 7829538403752 8484321864564 8732946681108 8787333359727 9112790150828 9134461471044 9404711810424 9460692237867 9463282079706 9740594375082 10188437794626 11364026770929 11716444479636 11744307605628 12614256317156 12617709439608 12647715882984 12987459166776 13099420021662 13584583726168 13669185226242 13701692206566 14069747430674 14107067715636 14610891562623 15152035694572 15282656691939 16968643729128 17465893362216 17574666719454 18225580301656 18268922942088 18921384475734 18926564159412 19481188750164 20376875589252 20503777839363 20552538309849 21104621146011 22074948555023 22728053541858 23432888959272 23488615211256 25228512634312 26198840043324 27338370452484 27403384413132 28139494861348 28214135431272 28382076713601 29221783125246 30304071389144 30565313383878 34092080312787 35149333438908 37842768951468 37853128318824 38962377500328 40753751178504 41007555678726 41105076619698 42209242292022 44149897110046 45456107083716 45847970075817 49244116007359 52397680086648 54676740904968 54806768826264 56278989722696 56764153427202 58443566250492 61130626767756 61511333518089 63313863438033 66224845665069 68184160625574 70298666877816 75685537902936 82015111357452 82210153239396 84418484584044 85146230140803 88299794220092 90912214167432 91453358299381 91695940151634 98488232014718 102276240938361 113528306854404 116887132500984 122261253535512 123022667036178 126627726876066 132449691330138 136368321251148 147732348022077 164030222714904 164420306478792 168836969168088 170292460281606 176599588440184 182906716598762 183391880303268 189941590314099 196976464029436 198674536995207 204552481876722 227056613708808 246045334072356 253255453752132 264899382660276 272736642502296 274360074898143 295464696044154 340584920563212 365813433197524 366783760606536 379883180628198 393952928058872 397349073990414 409104963753444 443197044066231 492090668144712 506510907504264 529798765320552 548720149796286 590929392088308 596023610985621 640173508095667 681169841126424 731626866395048 759766361256396 794698147980828 818209927506888 823080224694429 886394088132462 1097440299592572 1181858784176616 1192047221971242 1280347016191334 1329591132198693 1519532722512792 1589396295961656 1646160449388858 1772788176264924 1920520524287001 2194880599185144 2384094443942484 2469240674083287 2560694032382668 2659182264397386 3292320898777716 3545576352529848 3841041048574002 4768188887884968 4938481348166574 5121388064765336 5318364528794772 5761561572861003 6584641797555432 7682082097148004 9876962696333148 10636729057589544 11523123145722006 15364164194296008 17284684718583009 19753925392666296 23046246291444012 34569369437166018 46092492582888024 69138738874332036 138277477748664072
- Sum of all divisors σ(n): 494075048029056000
- Sum of proper divisors (its aliquot sum) s(n): 355797570280391928
- 138277477748664072 is an abundant number, because the sum of its proper divisors (355797570280391928) is greater than itself. Its abundance is 217520092531727856
Bases of 138277477748664072
- Binary: 1111010110100001010100010001001011010010101100111000010002
- Hexadecimal: 0x1EB42A225A56708
- Base-36: 11TJ9WBKVN60
Squares and roots of 138277477748664072
- 138277477748664072 squared (1382774777486640722) is 19120660852532287553910580703621184
- 138277477748664072 cubed (1382774777486640723) is 2643956755575785597181070494887236960730428758901248
-
The
square root of 138277477748664072 is 371856797.3678363083 -
The
cube root of 138277477748664072 is 517111.0478682101
Scales and comparisons
How big is 138277477748664072?- 138,277,477,748,664,072 seconds is equal to 4,396,796,072 years, 4 weeks, 3 days, 4 hours, 1 minute, 12 seconds.
-
To count from 1 to 138,277,477,748,664,072 would take you about thirteen billion, one hundred ninety million, three hundred eighty-eight thousand, two hundred sixteen 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 138277477748664072 cubic inches would be around 43092.6 feet tall.
Recreational maths with 138277477748664072
- 138277477748664072 backwards is 270466847774772831
- The number of decimal digits it has is: 18
- The sum of 138277477748664072's digits is 90
- More coming soon!
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"Number 138277477748664072 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
APA style:
Numbermatics. (2024). Number 138277477748664072 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/138277477748664072/
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Numbermatics. 2024. "Number 138277477748664072 - Facts about the integer". https://numbermatics.com/n/138277477748664072/
The information we have on file for 138277477748664072 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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