138135632301562500
138,135,632,301,562,500 is an even composite number composed of five prime numbers multiplied together.
What does the number 138135632301562500 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2268 divisors.
138135632301562500 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, two hundred sixty-eight divisors.
Prime factorization of 138135632301562500:
22 × 313 × 58 × 11 × 712
(2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 71 × 71)See below for interesting mathematical facts about the number 138135632301562500 from the Numbermatics database.
Names of 138135632301562500
- Cardinal: 138135632301562500 can be written as One hundred thirty-eight quadrillion, one hundred thirty-five trillion, six hundred thirty-two billion, three hundred one million, five hundred sixty-two thousand, five hundred.
Scientific notation
- Scientific notation: 1.381356323015625 × 1017
Factors of 138135632301562500
Divisors of 138135632301562500
- Number of divisors d(n): 2268
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Complete list of divisors:
1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 27 30 33 36 44 45 50 54 55 60 66 71 75 81 90 99 100 108 110 125 132 135 142 150 162 165 180 198 213 220 225 243 250 270 275 284 297 300 324 330 355 375 396 405 426 450 486 495 500 540 550 594 625 639 660 675 710 729 750 781 810 825 852 891 900 972 990 1065 1100 1125 1188 1215 1250 1278 1350 1375 1420 1458 1485 1500 1562 1620 1650 1775 1782 1875 1917 1980 2025 2130 2187 2250 2343 2430 2475 2500 2556 2673 2700 2750 2916 2970 3124 3125 3195 3300 3375 3550 3564 3645 3750 3834 3905 4050 4125 4260 4374 4455 4500 4686 4860 4950 5041 5325 5346 5500 5625 5751 5940 6075 6250 6390 6561 6750 6875 7029 7100 7290 7425 7500 7668 7810 8019 8100 8250 8748 8875 8910 9372 9375 9585 9900 10082 10125 10650 10692 10935 11250 11502 11715 12150 12375 12500 12780 13122 13365 13500 13750 14058 14580 14850 15123 15620 15625 15975 16038 16500 16875 17253 17750 17820 18225 18750 19170 19525 19683 20164 20250 20625 21087 21300 21870 22275 22500 23004 23430 24057 24300 24750 25205 26244 26625 26730 27500 28116 28125 28755 29700 30246 30375 31250 31950 32076 32805 33750 34375 34506 35145 35500 36450 37125 37500 38340 39050 39366 40095 40500 41250 42174 43740 44375 44550 45369 46860 46875 47925 48114 49500 50410 50625 51759 53250 53460 54675 55451 56250 57510 58575 59049 60492 60750 61875 62500 63261 63900 65610 66825 67500 68750 69012 70290 72171 72900 74250 75615 78100 78125 78732 79875 80190 82500 84348 84375 86265 88750 89100 90738 91125 93750 95850 96228 97625 98415 100820 101250 103125 103518 105435 106500 109350 110902 111375 112500 115020 117150 118098 120285 121500 123750 126025 126522 131220 133125 133650 136107 137500 140580 140625 143775 144342 148500 151230 151875 155277 156250 159750 160380 164025 166353 168750 171875 172530 175725 177147 177500 181476 182250 185625 187500 189783 191700 195250 196830 200475 202500 206250 207036 210870 216513 218700 221804 221875 222750 226845 234300 234375 236196 239625 240570 247500 252050 253044 253125 258795 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2740242656250 2790618834375 2871007031250 2882329312500 2946893489100 2947836796875 3044714062500 3100687593750 3112915657500 3158107734375 3275374218750 3348742601250 3410756353125 3445208437500 3509008593750 3537404156250 3602911640625 3683616861375 3720825112500 3789729281250 3891144571875 3930449062500 4003235156250 4018491121500 4092907623750 4210810312500 4306510546875 4323493968750 4420340233650 4547675137500 4567071093750 4651031390625 4803882187500 4911489148500 4913061328125 5023113901875 5167812656250 5188192762500 5263512890625 5480485312500 5581237668750 5684593921875 5742014062500 5895673593750 6004852734375 6139361435625 6201375187500 6316215468750 6485240953125 6550748437500 6697485202500 6821512706250 6850606640625 7018017187500 7074808312500 7205823281250 7367233722750 7579458562500 7751718984375 7782289143750 8006470312500 8185815247500 8371856503125 8613021093750 8646987937500 8840680467300 8843510390625 9134142187500 9302062781250 9474323203125 9826122656250 10046227803750 10232269059375 10335625312500 10527025781250 10808734921875 11050850584125 11162475337500 11369187843750 11791347187500 12009705468750 12278722871250 12632430937500 12919531640625 12970481906250 13643025412500 13701213281250 13953094171875 14411646562500 14734467445500 14739183984375 15503437968750 15564578287500 15790538671875 16743713006250 17053781765625 17226042187500 17687020781250 18014558203125 18418084306875 18604125562500 18948646406250 19455722859375 19652245312500 20092455607500 20464538118750 21054051562500 21617469843750 22101701168250 22738375687500 23255156953125 24019410937500 24557445742500 25115569509375 25839063281250 25940963812500 27402426562500 27906188343750 28422969609375 29478367968750 30696807178125 31006875937500 31581077343750 32426204765625 33487426012500 34107563531250 35374041562500 36029116406250 36836168613750 37897292812500 38758594921875 38911445718750 40929076237500 41859282515625 43234939687500 44203402336500 44217551953125 46510313906250 47371616015625 50231139018750 51161345296875 51678126562500 54043674609375 55254252920625 55812376687500 56845939218750 58956735937500 61393614356250 63162154687500 64852409531250 68215127062500 69765470859375 72058232812500 73672337227500 77517189843750 77822891437500 83718565031250 85268908828125 88435103906250 92090421534375 93020627812500 94743232031250 97278614296875 100462278037500 102322690593750 108087349218750 110508505841250 113691878437500 116275784765625 122787228712500 125577847546875 129704819062500 139530941718750 142114848046875 153484035890625 155034379687500 162131023828125 167437130062500 170537817656250 176870207812500 184180843068750 189486464062500 194557228593750 204645381187500 209296412578125 216174698437500 221017011682500 232551569531250 251155695093750 255806726484375 276271264603125 279061883437500 284229696093750 306968071781250 324262047656250 341075635312500 348827354296875 368361686137500 389114457187500 418592825156250 426344544140625 460452107671875 465103139062500 486393071484375 502311390187500 511613452968750 552542529206250 568459392187500 613936143562500 627889237734375 648524095312500 697654708593750 767420179453125 837185650312500 852689088281250 920904215343750 972786142968750 1023226905937500 1046482062890625 1105085058412500 1255778475468750 1279033632421875 1381356323015625 1395309417187500 1534840358906250 1705378176562500 1841808430687500 1945572285937500 2092964125781250 2302260538359375 2511556950937500 2558067264843750 2762712646031250 3069680717812500 3139446188671875 3837100897265625 4185928251562500 4604521076718750 5116134529687500 5525425292062500 6278892377343750 6906781615078125 7674201794531250 9209042153437500 11511302691796875 12557784754687500 13813563230156250 15348403589062500 23022605383593750 27627126460312500 34533908075390625 46045210767187500 69067816150781250 138135632301562500
- Sum of all divisors σ(n): 501524765742625968
- Sum of proper divisors (its aliquot sum) s(n): 363389133441063468
- 138135632301562500 is an abundant number, because the sum of its proper divisors (363389133441063468) is greater than itself. Its abundance is 225253501139500968
Bases of 138135632301562500
- Binary: 1111010101100000110100000001011100010100010011010100001002
- Hexadecimal: 0x1EAC1A02E289A84
- Base-36: 11S4ZTF80K90
Squares and roots of 138135632301562500
- 138135632301562500 squared (1381356323015625002) is 19081452911352477140939941406250000
- 138135632301562500 cubed (1381356323015625003) is 2635828563142165048209023268010013580322265625000000
-
The
square root of 138135632301562500 is 371666022.5277022817 -
The
cube root of 138135632301562500 is 516934.1693576619
Scales and comparisons
How big is 138135632301562500?- 138,135,632,301,562,500 seconds is equal to 4,392,285,825 years, 32 weeks, 3 days, 8 hours, 15 minutes.
-
To count from 1 to 138,135,632,301,562,500 would take you about thirteen billion, one hundred seventy-six million, eight hundred fifty-seven thousand, four hundred seventy-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 138135632301562500 cubic inches would be around 43077.8 feet tall.
Recreational maths with 138135632301562500
- 138135632301562500 backwards is 005265103236531831
- 138135632301562500 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138135632301562500's digits is 54
- More coming soon!
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Cite this page
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"Number 138135632301562500 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 138135632301562500 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/138135632301562500/
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The information we have on file for 138135632301562500 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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