138261290473978072128
138,261,290,473,978,072,128 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138261290473978072128 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 672 divisors.
138261290473978072128 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 138261290473978072128:
26 × 32 × 7 × 13 × 151 × 6547 × 2668194239
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 151 × 6547 × 2668194239)See below for interesting mathematical facts about the number 138261290473978072128 from the Numbermatics database.
Names of 138261290473978072128
- Cardinal: 138261290473978072128 can be written as One hundred thirty-eight quintillion, two hundred sixty-one quadrillion, two hundred ninety trillion, four hundred seventy-three billion, nine hundred seventy-eight million, seventy-two thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 1.38261290473978072128 × 1020
Factors of 138261290473978072128
- Number of distinct prime factors ω(n): 7
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2668200962
Divisors of 138261290473978072128
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 104 112 117 126 144 151 156 168 182 192 208 224 234 252 273 288 302 312 336 364 416 448 453 468 504 546 576 604 624 672 728 819 832 906 936 1008 1057 1092 1208 1248 1344 1359 1456 1638 1812 1872 1963 2016 2114 2184 2416 2496 2718 2912 3171 3276 3624 3744 3926 4032 4228 4368 4832 5436 5824 5889 6342 6547 6552 7248 7488 7852 8456 8736 9513 9664 10872 11778 12684 13094 13104 13741 14496 15704 16912 17472 17667 19026 19641 21744 23556 25368 26188 26208 27482 28992 31408 33824 35334 38052 39282 41223 43488 45829 47112 50736 52376 52416 54964 58923 62816 67648 70668 76104 78564 82446 85111 86976 91658 94224 101472 104752 109928 117846 123669 125632 137487 141336 152208 157128 164892 170222 183316 188448 202944 209504 219856 235692 247338 255333 274974 282672 304416 314256 329784 340444 366632 376896 412461 419008 439712 471384 494676 510666 549948 565344 595777 608832 628512 659568 680888 733264 765999 824922 879424 942768 988597 989352 1021332 1099896 1130688 1191554 1257024 1319136 1361776 1466528 1531998 1649844 1787331 1885536 1977194 1978704 2042664 2199792 2383108 2638272 2723552 2933056 2965791 3063996 3299688 3574662 3771072 3954388 3957408 4085328 4399584 4766216 5361993 5447104 5931582 6127992 6599376 6920179 7149324 7908776 7914816 8170656 8799168 8897373 9532432 10723986 11863164 12255984 12851761 13198752 13840358 14298648 15817552 16341312 17794746 19064864 20760537 21447972 23726328 24511968 25703522 26397504 27680716 28597296 31635104 35589492 38129728 38555283 41521074 42895944 47452656 49023936 51407044 55361432 57194592 62281611 63270208 71178984 77110566 83042148 85791888 89962327 94905312 102814088 110722864 114389184 115665849 124563222 142357968 154221132 166084296 171583776 179924654 189810624 205628176 221445728 231331698 249126444 269886981 284715936 308442264 332168592 343167552 359849308 411256352 442891456 462663396 498252888 539773962 569431872 616884528 664337184 719698616 809660943 822512704 925326792 996505776 1079547924 1233769056 1328674368 1439397232 1619321886 1850653584 1993011552 2159095848 2467538112 2668194239 2878794464 3238643772 3701307168 3986023104 4318191696 5336388478 5757588928 6477287544 7402614336 8004582717 8636383392 10672776956 12954575088 16009165434 17272766784 18677359673 21345553912 24013748151 25909150176 32018330868 34686525107 37354719346 42691107824 48027496302 51818300352 56032079019 64036661736 69373050214 74709438692 85382215648 96054992604 104059575321 112064158038 128073323472 138746100428 149418877384 168096237057 170764431296 192109985208 208119150642 224128316076 242805675749 256146646944 277492200856 298837754768 312178725963 336192474114 384219970416 402897330089 416238301284 448256632152 485611351498 512293293888 554984401712 597675509536 624357451926 672384948228 728417027247 768439940832 805794660178 832476602568 896513264304 971222702996 1109968803424 1195351019072 1208691990267 1248714903852 1344769896456 1456834054494 1536879881664 1611589320356 1664953205136 1793026528608 1942445405992 2185251081741 2219937606848 2417383980534 2497429807704 2689539792912 2820281310623 2913668108988 3223178640712 3329906410272 3586053057216 3626075970801 3884890811984 4370502163482 4834767961068 4994859615408 5237665291157 5379079585824 5640562621246 5827336217976 6446357281424 6659812820544 7252151941602 7769781623968 8460843931869 8741004326964 9669535922136 9989719230816 10475330582314 10758159171648 11281125242492 11654672435952 12892714562848 14504303883204 15539563247936 15712995873471 16921687863738 17468667682733 17482008653928 19339071844272 19979438461632 20950661164628 22562250484984 23309344871904 25382531795607 25785429125696 29008607766408 31425991746942 33843375727476 34937335365466 34964017307856 36663657038099 38678143688544 41901322329256 45124500969968 46618689743808 47138987620413 50765063591214 52406003048199 58017215532816 62851983493884 67686751454952 69874670730932 69928034615712 73327314076198 77356287377088 83802644658512 90249001939936 94277975240826 101530127182428 104812006096398 109990971114297 116034431065632 122280673779131 125703966987768 135373502909904 139749341461864 139856069231424 146654628152396 157218009144597 167605289317024 180498003879872 188555950481652 203060254364856 209624012192796 219981942228594 227092679875529 232068862131264 244561347558262 251407933975536 270747005819808 279498682923728 293309256304792 314436018289194 329972913342891 335210578634048 366842021337393 377111900963304 406120508729712 419248024385592 439963884457188 454185359751058 489122695116524 502815867951072 541494011639616 558997365847456 586618512609584 628872036578388 659945826685782 681278039626587 733684042674786 754223801926608 812241017459424 838496048771184 879927768914376 908370719502116 978245390233048 1005631735902144 1100526064012179 1117994731694912 1173237025219168 1257744073156776 1319891653371564 1362556079253174 1467368085349572 1508447603853216 1589648759128703 1624482034918848 1676992097542368 1759855537828752 1816741439004232 1956490780466096 2043834118879761 2201052128024358 2346474050438336 2515488146313552 2637768820092683 2639783306743128 2725112158506348 2934736170699144 3016895207706432 3179297518257406 3353984195084736 3519711075657504 3633482878008464 3912981560932192 4087668237759522 4402104256048716 4768946277386109 5030976292627104 5275537640185366 5279566613486256 5450224317012696 5869472341398288 6358595036514812 7039422151315008 7266965756016928 7825963121864384 7913306460278049 8175336475519044 8804208512097432 9537892554772218 10061952585254208 10551075280370732 10559133226972512 10900448634025392 11738944682796576 12717190073029624 14306838832158327 14533931512033856 15826612920556098 16350672951038088 17608417024194864 18464381740648781 19075785109544436 21102150560741464 21118266453945024 21800897268050784 23477889365593152 23739919380834147 25434380146059248 28613677664316654 31653225841112196 32701345902076176 34290994661204879 35216834048389728 36928763481297562 38151570219088872 42204301121482928 43601794536101568 47479838761668294 50868760292118496 55393145221946343 57227355328633308 63306451682224392 65402691804152352 68581989322409758 70433668096779456 73857526962595124 76303140438177744 84408602242965856 94959677523336588 101737520584236992 102872983983614637 110786290443892686 114454710657266616 126612903364448784 130805383608304704 137163978644819516 147715053925190248 152606280876355488 166179435665839029 168817204485931712 189919355046673176 205745967967229274 221572580887785372 228909421314533232 240036962628434153 253225806728897568 274327957289639032 295430107850380496 305212561752710976 308618951950843911 332358871331678058 379838710093346352 411491935934458548 443145161775570744 457818842629066464 480073925256868306 506451613457795136 548655914579278064 590860215700760992 617237903901687822 664717742663356116 720110887885302459 759677420186692704 822983871868917096 886290323551141488 915637685258132928 960147850513736612 1097311829158556128 1181720431401521984 1234475807803375644 1329435485326712232 1440221775770604918 1519354840373385408 1645967743737834192 1772580647102282976 1920295701027473224 2160332663655907377 2194623658317112256 2468951615606751288 2658870970653424464 2880443551541209836 3291935487475668384 3545161294204565952 3840591402054946448 4320665327311814754 4937903231213502576 5317741941306848928 5760887103082419672 6583870974951336768 7681182804109892896 8641330654623629508 9875806462427005152 10635483882613697856 11521774206164839344 15362365608219785792 17282661309247259016 19751612924854010304 23043548412329678688 34565322618494518032 46087096824659357376 69130645236989036064 138261290473978072128
- Sum of all divisors σ(n): 491060268455804436480
- Sum of proper divisors (its aliquot sum) s(n): 352798977981826364352
- 138261290473978072128 is an abundant number, because the sum of its proper divisors (352798977981826364352) is greater than itself. Its abundance is 214537687507848292224
Bases of 138261290473978072128
- Binary: 11101111110110000101100011100100101011110001001000000001100010000002
- Hexadecimal: 0x77EC2C72578900C40
- Base-36: T6G0112C1ZM80
Squares and roots of 138261290473978072128
- 138261290473978072128 squared (1382612904739780721282) is 19116184443529739592915863098175570448384
- 138261290473978072128 cubed (1382612904739780721283) is 2643028330101006198468112549101283334061884330551696853041152
-
The
square root of 138261290473978072128 is 11758456126.2938797483 -
The
cube root of 138261290473978072128 is 5170908.6876803069
Scales and comparisons
How big is 138261290473978072128?- 138,261,290,473,978,072,128 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,261,290,473,978,072,128 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 138261290473978072128 cubic inches would be around 430909.1 feet tall.
Recreational maths with 138261290473978072128
- 138261290473978072128 backwards is 821270879374092162831
- The number of decimal digits it has is: 21
- The sum of 138261290473978072128's digits is 90
- More coming soon!
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The information we have on file for 138261290473978072128 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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