107133042291337440
107,133,042,291,337,440 is an even composite number composed of six prime numbers multiplied together.
What does the number 107133042291337440 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2400 divisors.
107133042291337440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, four hundred divisors.
Prime factorization of 107133042291337440:
25 × 33 × 5 × 74 × 17 × 1574
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 7 × 7 × 17 × 157 × 157 × 157 × 157)See below for interesting mathematical facts about the number 107133042291337440 from the Numbermatics database.
Names of 107133042291337440
- Cardinal: 107133042291337440 can be written as One hundred seven quadrillion, one hundred thirty-three trillion, forty-two billion, two hundred ninety-one million, three hundred thirty-seven thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.0713304229133744 × 1017
Factors of 107133042291337440
Divisors of 107133042291337440
- Number of divisors d(n): 2400
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 17 18 20 21 24 27 28 30 32 34 35 36 40 42 45 48 49 51 54 56 60 63 68 70 72 80 84 85 90 96 98 102 105 108 112 119 120 126 135 136 140 144 147 153 157 160 168 170 180 189 196 204 210 216 224 238 240 245 252 255 270 272 280 288 294 306 314 315 336 340 343 357 360 378 392 408 420 432 441 459 471 476 480 490 504 510 540 544 560 588 595 612 628 630 672 680 686 714 720 735 756 765 784 785 816 833 840 864 882 918 942 945 952 980 1008 1020 1029 1071 1080 1099 1120 1176 1190 1224 1256 1260 1323 1360 1372 1413 1428 1440 1470 1512 1530 1568 1570 1632 1666 1680 1715 1764 1785 1836 1884 1890 1904 1960 2016 2040 2058 2142 2160 2198 2205 2295 2352 2355 2380 2401 2448 2499 2512 2520 2646 2669 2720 2744 2826 2856 2940 3024 3060 3087 3140 3213 3297 3332 3360 3430 3528 3570 3672 3768 3780 3808 3920 4080 4116 4165 4239 4284 4320 4396 4410 4590 4704 4710 4760 4802 4896 4998 5024 5040 5145 5292 5338 5355 5488 5495 5652 5712 5831 5880 6048 6120 6174 6280 6426 6594 6615 6664 6860 7056 7065 7140 7203 7344 7497 7536 7560 7693 7840 8007 8160 8232 8330 8478 8568 8792 8820 9180 9261 9420 9520 9604 9891 9996 10080 10290 10584 10676 10710 10976 10990 11304 11424 11662 11760 12005 12240 12348 12495 12560 12852 13188 13230 13328 13345 13720 14112 14130 14280 14406 14688 14994 15072 15120 15386 15435 16014 16065 16464 16485 16660 16956 17136 17493 17584 17640 18360 18522 18683 18840 19040 19208 19782 19992 20580 21168 21195 21352 21420 21609 21980 22491 22608 23079 23324 23520 24010 24021 24480 24649 24696 24990 25120 25704 26376 26460 26656 26690 27440 28260 28560 28812 29155 29673 29988 30240 30772 30870 32028 32130 32928 32970 33320 33912 34272 34986 35168 35280 36015 36720 37044 37366 37485 37680 38416 38465 39564 39984 40035 40817 41160 42336 42390 42704 42840 43218 43960 44982 45216 46158 46305 46648 48020 48042 49298 49392 49455 49980 51408 52479 52752 52920 53380 53851 54880 56049 56520 57120 57624 58310 59346 59976 61544 61740 64056 64260 64827 65940 66640 67824 69237 69972 70560 72030 72063 73440 73947 74088 74732 74970 75360 76832 76930 79128 79968 80070 81634 82320 84780 85408 85680 86436 87465 87920 89964 92316 92610 93296 93415 96040 96084 98596 98784 98910 99960 102816 104958 105504 105840 106760 107702 108045 112098 112455 113040 115248 115395 116620 118692 119952 120105 122451 123088 123245 123480 128112 128520 129654 130781 131880 133280 135648 138474 139944 144060 144126 147894 148176 148365 149464 149940 153860 157437 158256 160140 161553 163268 164640 168147 169560 171360 172543 172872 174930 175840 179928 184632 185220 186592 186830 192080 192168 197192 197820 199920 204085 207711 209916 211680 213520 215404 216090 221841 224196 224910 226080 230496 230790 233240 237384 239904 240210 244902 246176 246490 246960 256224 257040 259308 261562 262395 263760 269255 276948 279888 280245 288120 288252 295788 296352 296730 298928 299880 307720 314874 316512 320280 323106 324135 326536 336294 339120 345086 345744 346185 349860 359856 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11155043970360 11253470828922 11372934425832 11568193747040 11670266044808 12146603434392 12185286884820 12503856476580 12636593806480 12861109518768 13014217965420 13129049300409 13379922853920 13664928863691 13926042154080 14171037340124 14216168032290 14290121687520 14587832556010 14873391960480 15004627771896 15163912567776 15183254292990 15617061558504 16076386898460 16195471245856 16247049179760 16671808635440 17059401638748 17352290620560 17505399067212 17713796675155 18219905151588 18373013598240 18755784714870 18954890709720 19496459015712 19521326948130 20006170362528 20069884280880 20244339057320 20822748744672 21256556010186 21324252048435 21435182531280 21881748834015 22310087940720 22506941657844 22745868851664 22774881439485 23340532089616 24293206868784 24370573769640 24799315345217 25007712953160 25273187612960 25722219037536 26028435930840 26258098600818 27329857727382 28133677072305 28342074680248 28432336064580 29175665112020 30009255543792 30366508585980 31234123117008 31884834015279 32152773796920 32494098359520 33343617270880 34118803277496 34704581241120 35010798134424 35427593350310 36439810303176 37511569429740 37909781419440 39042653896260 39387147901227 40139768561760 40488678114640 42513112020372 42648504096870 42870365062560 43763497668030 44620175881440 45013883315688 45491737703328 45549762878970 46681064179232 48586413737568 48741147539280 49598630690434 50015425906320 52056871861680 52516197201636 53141390025465 54659715454764 56267354144610 56684149360496 56864672129160 58351330224040 60018511087584 60733017171960 62468246234016 63769668030558 64305547593840 65645246502045 68237606554992 68324644318455 70021596268848 70855186700620 72879620606352 74397946035651 75023138859480 75819562838880 78085307792520 78774295802454 80977356229280 85026224040744 85297008193740 87526995336060 90027766631376 91099525757940 95654502045837 97482295078560 99197261380868 100030851812640 104113743723360 105032394403272 106282780050930 109319430909528 112534708289220 113368298720992 113729344258320 116702660448080 121466034343920 123996576726085 127539336061116 128611095187680 131290493004090 136475213109984 136649288636910 140043192537696 141710373401240 145759241212704 148795892071302 150046277718960 156170615585040 157548591604908 159424170076395 170052448081488 170594016387480 175053990672120 180055533262752 182199051515880 191309004091674 196935739506135 198394522761736 210064788806544 212565560101860 218638861819056 223193838106953 225069416578440 227458688516640 233405320896160 242932068687840 247993153452170 255078672122232 262580986008180 273298577273820 283420746802480 297591784142604 300092555437920 312341231170080 315097183209816 318848340152790 340104896162976 341188032774960 350107981344240 364398103031760 371989730178255 382618008183348 393871479012270 396789045523472 420129577613088 425131120203720 437277723638112 446387676213906 450138833156880 478272510229185 495986306904340 510157344244464 525161972016360 546597154547640 566841493604960 595183568285208 630194366419632 637696680305580 669581514320859 682376065549920 700215962688480 728796206063520 743979460356510 765236016366696 787742958024540 793578091046944 850262240407440 892775352427812 900277666313760 956545020458370 991972613808680 1020314688488928 1050323944032720 1093194309095280 1115969190534765 1190367136570416 1260388732839264 1275393360611160 1339163028641718 1487958920713020 1530472032733392 1575485916049080 1700524480814880 1785550704855624 1913090040916740 1983945227617360 2100647888065440 2186388618190560 2231938381069530 2380734273140832 2550786721222320 2678326057283436 2975917841426040 3060944065466784 3150971832098160 3347907571604295 3571101409711248 3826180081833480 3967890455234720 4463876762139060 5101573442444640 5356652114566872 5951835682852080 6301943664196320 6695815143208590 7142202819422496 7652360163666960 8927753524278120 10713304229133744 11903671365704160 13391630286417180 15304720327333920 17855507048556240 21426608458267488 26783260572834360 35711014097112480 53566521145668720 107133042291337440
- Sum of all divisors σ(n): 466134308125184160
- Sum of proper divisors (its aliquot sum) s(n): 359001265833846720
- 107133042291337440 is an abundant number, because the sum of its proper divisors (359001265833846720) is greater than itself. Its abundance is 251868223542509280
Bases of 107133042291337440
- Binary: 1011111001001110011101111001100010111101101101000111000002
- Hexadecimal: 0x17C9CEF317B68E0
- Base-36: TAVHS6V2WO0
Squares and roots of 107133042291337440
- 107133042291337440 squared (1071330422913374402) is 11477488750597496476262463945753600
- 107133042291337440 cubed (1071330422913374403) is 1229618287716111305314151646727233164499352694784000
-
The
square root of 107133042291337440 is 327311842.5772850645 -
The
cube root of 107133042291337440 is 474942.6224933293
Scales and comparisons
How big is 107133042291337440?- 107,133,042,291,337,440 seconds is equal to 3,406,499,360 years, 31 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 107,133,042,291,337,440 would take you about ten billion, two hundred nineteen million, four hundred ninety-eight thousand and eighty-one 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 107133042291337440 cubic inches would be around 39578.6 feet tall.
Recreational maths with 107133042291337440
- 107133042291337440 backwards is 044733192240331701
- 107133042291337440 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 107133042291337440's digits is 54
- More coming soon!
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"Number 107133042291337440 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 107133042291337440 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/107133042291337440/
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Numbermatics. 2024. "Number 107133042291337440 - Facts about the integer". https://numbermatics.com/n/107133042291337440/
The information we have on file for 107133042291337440 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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