138038720544140625
138,038,720,544,140,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138038720544140625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 972 divisors.
138038720544140625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred seventy-two divisors.
Prime factorization of 138038720544140625:
32 × 58 × 112 × 173 × 2572
(3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 11 × 17 × 17 × 17 × 257 × 257)See below for interesting mathematical facts about the number 138038720544140625 from the Numbermatics database.
Names of 138038720544140625
- Cardinal: 138038720544140625 can be written as One hundred thirty-eight quadrillion, thirty-eight trillion, seven hundred twenty billion, five hundred forty-four million, one hundred forty thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38038720544140625 × 1017
Factors of 138038720544140625
Divisors of 138038720544140625
- Number of divisors d(n): 972
-
Complete list of divisors:
1 3 5 9 11 15 17 25 33 45 51 55 75 85 99 121 125 153 165 187 225 255 257 275 289 363 375 425 495 561 605 625 765 771 825 867 935 1089 1125 1275 1285 1375 1445 1683 1815 1875 2057 2125 2313 2475 2601 2805 2827 3025 3125 3179 3825 3855 4125 4335 4369 4675 4913 5445 5625 6171 6375 6425 6875 7225 8415 8481 9075 9375 9537 10285 10625 11565 12375 13005 13107 14025 14135 14739 15125 15625 15895 18513 19125 19275 20625 21675 21845 23375 24565 25443 27225 28125 28611 30855 31097 31875 32125 34375 34969 36125 39321 42075 42405 44217 45375 46875 47685 48059 51425 53125 54043 57825 61875 65025 65535 66049 70125 70675 73695 74273 75625 78125 79475 92565 93291 95625 96375 103125 104907 108375 109225 116875 122825 127215 136125 140625 143055 144177 154275 155485 159375 160625 162129 171875 174845 180625 196605 198147 210375 212025 221085 222819 226875 234375 238425 240295 257125 265625 270215 279873 289125 309375 314721 325125 327675 330245 350625 353375 368475 371365 378125 390625 397375 432531 462825 466455 478125 481875 486387 515625 524535 528649 541875 546125 584375 594441 594473 614125 636075 668457 680625 703125 715275 720885 726539 771375 777425 796875 803125 810645 817003 859375 874225 903125 983025 990735 1051875 1060125 1105425 1114095 1122833 1134375 1171875 1192125 1201475 1262641 1285625 1328125 1351075 1399365 1445625 1546875 1573605 1585947 1625625 1638375 1651225 1753125 1766875 1783419 1842375 1856825 1890625 1986875 2162655 2179617 2314125 2332275 2390625 2409375 2431935 2451009 2578125 2622675 2643245 2709375 2730625 2921875 2972205 2972365 3070625 3180375 3342285 3368499 3403125 3515625 3576375 3604425 3632695 3787923 3856875 3887125 3984375 4015625 4053225 4085015 4296875 4371125 4515625 4757841 4915125 4953675 5259375 5300625 5350257 5527125 5570475 5614165 5671875 5960625 6007375 6313205 6428125 6538851 6640625 6755375 6996825 7228125 7353027 7734375 7868025 7929735 7991929 8128125 8191875 8256125 8765625 8834375 8917095 8987033 9211875 9284125 9453125 9934375 10105497 10813275 10898085 11363769 11570625 11661375 11953125 12046875 12159675 12255045 12351163 12890625 13113375 13216225 13546875 13653125 13889051 14609375 14861025 14861825 15353125 15901875 16711425 16842495 17015625 17881875 18022125 18163475 18939615 19088161 19284375 19435625 19921875 20078125 20266125 20425075 21855625 22578125 23789205 23975787 24575625 24768375 26296875 26503125 26751285 26961099 27635625 27852375 28070825 28359375 29803125 30036875 31566025 32140625 32694255 33776875 34984125 36140625 36765135 37053489 38671875 39340125 39648675 39959645 40640625 40959375 41280625 41667153 43828125 44171875 44585475 44935165 46059375 46420625 47265625 49671875 50527485 54066375 54490425 56818845 57264483 57853125 58306875 59765625 60234375 60798375 61275225 61755815 65566875 66081125 67734375 68265625 69445255 71927361 73046875 74305125 74309125 76765625 79509375 80883297 83557125 84212475 85078125 89409375 90110625 90817375 94698075 95440805 96421875 97178125 100390625 101330625 102125375 109278125 111160467 112890625 118946025 119878935 122878125 123841875 125001459 131484375 132515625 133756425 134805495 135862793 138178125 139261875 140354125 141796875 149015625 150184375 152779561 157830125 160703125 163471275 168884375 171793449 174920625 180703125 183825675 185267445 196700625 198243375 199798225 203203125 204796875 206403125 208335765 209969771 219140625 220859375 222927375 224675825 230296875 232103125 248359375 252637425 270331875 272452125 284094225 286322415 289265625 291534375 301171875 303991875 306376125 308779075 324498737 327834375 330405625 338671875 341328125 347226275 359636805 371525625 371545625 383828125 397546875 404416485 407588379 417785625 421062375 425390625 447046875 450553125 454086875 458338683 473490375 477204025 482109375 485890625 506653125 510626875 546390625 555802335 594730125 599394675 614390625 619209375 625007295 629909313 657421875 662578125 668782125 674027475 679313965 690890625 696309375 701770625 745078125 750921875 763897805 789150625 803515625 817356375 844421875 858967245 874603125 903515625 919128375 926337225 973496211 983503125 991216875 998991125 1016015625 1023984375 1032015625 1041678825 1049848855 1104296875 1114636875 1123379125 1151484375 1160515625 1222765137 1241796875 1263187125 1351659375 1362260625 1375016049 1420471125 1431612075 1446328125 1457671875 1519959375 1531880625 1543895375 1622493685 1639171875 1652028125 1706640625 1736131375 1798184025 1857628125 1857728125 1889727939 1919140625 1987734375 2022082425 2037941895 2088928125 2105311875 2235234375 2252765625 2270434375 2291693415 2309667481 2367451875 2386020125 2410546875 2429453125 2533265625 2553134375 2731953125 2779011675 2920488633 2973650625 2996973375 3071953125 3096046875 3125036475 3149546565 3312890625 3343910625 3370137375 3396569825 3454453125 3481546875 3508853125 3569486107 3725390625 3754609375 3819489025 3945753125 4086781875 4222109375 4294836225 4373015625 4595641875 4631686125 4867481055 4917515625 4956084375 4994955625 5119921875 5160078125 5208394125 5249244275 5573184375 5616895625 5757421875 5802578125 6113825685 6315935625 6758296875 6811303125 6875080245 6929002443 7102355625 7158060375 7231640625 7288359375 7599796875 7659403125 7719476875 8112468425 8195859375 8260140625 8680656875 8990920125 9288140625 9288640625 9448639695 9938671875 10110412125 10189709475 10444640625 10526559375 10708458321 11176171875 11263828125 11352171875 11458467075 11548337405 11837259375 11930100625 12147265625 12666328125 12765671875 13659765625 13895058375 14602443165 14868253125 14984866875 15359765625 15480234375 15625182375 15747732825 16719553125 16850686875 16982849125 17272265625 17407734375 17544265625 17847430535 18773046875 19097445125 19728765625 20433909375 20787007329 21110546875 21474181125 21865078125 22978209375 23158430625 24337405275 24587578125 24780421875 24974778125 25800390625 26041970625 26246221375 27865921875 28084478125 29012890625 30569128425 31579678125 32125374963 33791484375 34056515625 34375401225 34645012215 35511778125 35790301875 36441796875 37998984375 38297015625 38597384375 39264347177 40562342125 40979296875 41300703125 43403284375 44954600625 46440703125 46443203125 47243198475 50552060625 50948547375 52223203125 52632796875 53542291605 56319140625 56760859375 57292335375 57741687025 59186296875 59650503125 63331640625 63828359375 69475291875 73012215825 74341265625 74924334375 77401171875 78125911875 78738664125 83597765625 84253434375 84914245625 87038671875 87721328125 89237152675 95487225625 98643828125 102169546875 103935036645 107370905625 109325390625 114891046875 115792153125 117793041531 121687026375 122937890625 123902109375 124873890625 130209853125 131231106875 139329609375 140422390625 152845642125 157898390625 160626874815 168957421875 170282578125 171877006125 173225061075 177558890625 178951509375 189994921875 191485078125 192986921875 196321735885 202811710625 206503515625 217016421875 224773003125 232203515625 232216015625 236215992375 252760303125 254742736875 261116015625 263163984375 267711458025 283804296875 286461676875 288708435125 295931484375 298252515625 319141796875 347376459375 353379124593 365061079125 371706328125 374621671875 390629559375 393693320625 417988828125 421267171875 424571228125 438606640625 446185763375 477436128125 493219140625 510847734375 519675183225 536854528125 574455234375 578960765625 588965207655 608435131875 619510546875 624369453125 651049265625 656155534375 696648046875 702111953125 764228210625 789491953125 803134374075 851412890625 859385030625 866125305375 887794453125 894757546875 957425390625 964934609375 981608679425 1014058553125 1085082109375 1123865015625 1181079961875 1263801515625 1273713684375 1315819921875 1338557290125 1432308384375 1443542175625 1479657421875 1491262578125 1736882296875 1766895622965 1825305395625 1858531640625 1873108359375 1953147796875 1968466603125 2089944140625 2106335859375 2122856140625 2230928816875 2387180640625 2554238671875 2598375916125 2684272640625 2872276171875 2894803828125 2944826038275 3042175659375 3121847265625 3255246328125 3280777671875 3510559765625 3821141053125 3947459765625 4015671870375 4296925153125 4330626526875 4438972265625 4473787734375 4824673046875 4908043397125 5070292765625 5425410546875 5619325078125 5905399809375 6319007578125 6368568421875 6692786450625 7161541921875 7217710878125 7456312890625 8684411484375 8834478114825 9126526978125 9365541796875 9765738984375 9842333015625 10531679296875 10614280703125 11154644084375 11935903203125 12991879580625 13421363203125 14474019140625 14724130191375 15210878296875 16276231640625 16403888359375 19105705265625 20078359351875 21484625765625 21653132634375 22368938671875 24540216985625 25351463828125 28096625390625 29526999046875 31595037890625 31842842109375 33463932253125 35807709609375 36088554390625 43422057421875 44172390574125 45632634890625 48828694921875 49211665078125 53071403515625 55773220421875 59679516015625 64959397903125 67106816015625 73620650956875 76054391484375 82019441796875 95528526328125 100391796759375 107423128828125 108265663171875 122701084928125 126757319140625 147634995234375 159214210546875 167319661265625 179038548046875 180442771953125 220861952870625 228163174453125 246058325390625 278866102109375 324796989515625 368103254784375 380271957421875 477642631640625 501958983796875 537115644140625 541328315859375 613505424640625 738174976171875 836598306328125 902213859765625 1104309764353125 1140815872265625 1394330510546875 1623984947578125 1840516273921875 2509794918984375 2706641579296875 3067527123203125 4182991531640625 5521548821765625 8119924737890625 9202581369609375 12548974594921875 15337635616015625 27607744108828125 46012906848046875 138038720544140625
- Sum of all divisors σ(n): 292209748660016460
- Sum of proper divisors (its aliquot sum) s(n): 154171028115875835
- 138038720544140625 is an abundant number, because the sum of its proper divisors (154171028115875835) is greater than itself. Its abundance is 16132307571735210
Bases of 138038720544140625
- Binary: 1111010100110100101111100001001110100100001101101010100012
- Hexadecimal: 0x1EA697C27486D51
- Base-36: 11R6N4RXU0Y9
Squares and roots of 138038720544140625
- 138038720544140625 squared (1380387205441406252) is 19054688369463351046089019775390625
- 138038720544140625 cubed (1380387205441406253) is 2630284802888038103852808048662892401218414306640625
-
The
square root of 138038720544140625 is 371535624.8654234031 -
The
cube root of 138038720544140625 is 516813.2526468719
Scales and comparisons
How big is 138038720544140625?- 138,038,720,544,140,625 seconds is equal to 4,389,204,331 years, 26 weeks, 2 days, 7 hours, 3 minutes, 45 seconds.
-
To count from 1 to 138,038,720,544,140,625 would take you about thirteen billion, one hundred sixty-seven million, six hundred twelve thousand, nine hundred ninety-four 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 138038720544140625 cubic inches would be around 43067.8 feet tall.
Recreational maths with 138038720544140625
- 138038720544140625 backwards is 526041445027830831
- The number of decimal digits it has is: 18
- The sum of 138038720544140625's digits is 63
- More coming soon!
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The information we have on file for 138038720544140625 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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