137206382638080
137,206,382,638,080 is an even composite number composed of seven prime numbers multiplied together.
137206382638080 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 137206382638080:
210 × 3 × 5 × 72 × 373 × 59 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 37 × 37 × 37 × 59 × 61)See below for interesting mathematical facts about the number 137206382638080 from the Numbermatics database.
Names of 137206382638080
- Cardinal: 137206382638080 can be written as One hundred thirty-seven trillion, two hundred six billion, three hundred eighty-two million, six hundred thirty-eight thousand and eighty.
Scientific notation
- Scientific notation: 1.3720638263808 × 1014
Factors of 137206382638080
Divisors of 137206382638080
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 37 40 42 48 49 56 59 60 61 64 70 74 80 84 96 98 105 111 112 118 120 122 128 140 147 148 160 168 177 183 185 192 196 210 222 224 236 240 244 245 256 259 280 294 295 296 305 320 336 354 366 370 384 392 413 420 427 444 448 472 480 488 490 512 518 555 560 588 590 592 610 640 672 708 732 735 740 768 777 784 826 840 854 885 888 896 915 944 960 976 980 1024 1036 1110 1120 1176 1180 1184 1220 1239 1280 1281 1295 1344 1369 1416 1464 1470 1480 1536 1554 1568 1652 1680 1708 1770 1776 1792 1813 1830 1888 1920 1952 1960 2065 2072 2135 2183 2220 2240 2257 2352 2360 2368 2440 2478 2560 2562 2590 2688 2738 2832 2891 2928 2940 2960 2989 3072 3108 3136 3304 3360 3416 3540 3552 3584 3599 3626 3660 3776 3840 3885 3904 3920 4107 4130 4144 4270 4366 4440 4480 4514 4704 4720 4736 4880 4956 5120 5124 5180 5376 5439 5476 5664 5782 5856 5880 5920 5978 6195 6216 6272 6405 6549 6608 6720 6771 6832 6845 7080 7104 7168 7198 7252 7320 7552 7680 7770 7808 7840 8214 8260 8288 8540 8673 8732 8880 8960 8967 9028 9065 9408 9440 9472 9583 9760 9912 10248 10360 10752 10797 10878 10915 10952 11285 11328 11564 11712 11760 11840 11956 12390 12432 12544 12810 13098 13216 13440 13542 13664 13690 14160 14208 14396 14455 14504 14640 14945 15104 15281 15360 15540 15616 15680 15799 16428 16520 16576 17080 17346 17464 17760 17920 17934 17995 18056 18130 18816 18880 18944 19166 19520 19824 20496 20535 20720 21504 21594 21756 21830 21904 22570 22656 23128 23424 23520 23680 23912 24780 24864 25088 25193 25620 26196 26432 26880 27084 27195 27328 27380 28320 28416 28749 28792 28910 29008 29280 29890 30208 30562 31080 31232 31360 31598 32745 32856 33040 33152 33855 34160 34692 34928 35520 35840 35868 35990 36112 36260 37632 37760 37888 38332 39040 39648 40992 41070 41440 43188 43365 43512 43660 43808 44835 45140 45312 45843 46256 46848 47040 47360 47397 47824 47915 49560 49728 50176 50386 50653 51240 52392 52864 53760 53985 54168 54390 54656 54760 56640 56832 57498 57584 57820 58016 58560 59780 60416 61124 62160 62464 62720 63196 65490 65712 66080 66304 67081 67710 68320 69384 69856 71040 71736 71980 72224 72520 75264 75520 75579 76405 76664 78080 78995 79296 80771 81984 82140 82880 83509 86376 86730 87024 87320 87616 89670 90280 90624 91686 92512 93696 94080 94720 94794 95648 95830 99120 99456 100772 101306 102480 104784 105728 106967 107520 107970 108336 108780 109312 109520 110593 113280 113664 114996 115168 115640 116032 117120 119560 122248 124320 125440 125965 126392 130980 131424 132160 132608 133163 134162 135420 136640 138768 139712 142080 143472 143745 143960 144448 145040 150528 151040 151158 151959 152810 153328 156160 157990 158592 161542 163968 164280 165760 167018 172752 173460 174048 174640 175232 176351 179340 180560 181248 183372 185024 187392 188160 189440 189588 191296 191660 198240 198912 201243 201544 202612 204960 209568 211456 213934 215940 216672 217560 218624 219040 221186 226560 229215 229992 230336 231280 232064 234240 236985 239120 242313 244496 248640 250527 250880 251930 252784 253265 261960 262848 264320 265216 266326 268324 270840 273280 277536 279424 284160 286944 287490 287920 288896 290080 302080 302316 303918 305620 306656 312320 315980 317184 320901 323084 327936 328560 331520 331779 334036 335405 345504 346920 348096 349280 350464 352702 354571 358680 361120 366744 370048 376320 377895 379176 382592 383320 396480 397824 399489 402486 403088 403855 405224 409920 417545 419136 422912 427868 431880 433344 435120 437248 438080 442372 453120 458430 459984 460672 462560 464128 468480 473970 478240 484626 488992 497280 501054 503860 505568 506530 523920 525696 528640 529053 532652 534835 536648 541680 546560 552965 555072 558848 565397 568320 573888 574980 575840 577792 580160 584563 604632 607836 611240 613312 631960 634368 641802 646168 655872 657120 663040 663558 665815 668072 670810 691008 693840 696192 698560 700928 705404 709142 717360 722240 733488 740096 752640 755790 758352 759795 765184 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2114560 2116212 2127426 2130608 2139340 2146592 2166720 2186240 2211860 2220288 2235392 2261588 2295552 2299920 2303360 2311168 2320640 2338252 2418528 2423130 2431344 2444960 2453248 2481997 2505270 2527840 2567208 2584672 2628480 2645265 2654232 2663260 2672288 2683240 2764032 2775360 2784768 2794240 2796423 2821616 2826985 2836568 2869440 2888960 2922815 2933952 2960384 2988527 3023160 3033408 3039180 3060736 3066560 3089833 3171840 3195912 3209010 3219888 3224704 3230840 3241792 3279360 3317790 3340360 3353088 3392382 3422944 3455040 3466752 3480960 3504640 3507378 3527020 3538976 3545710 3667440 3679872 3685376 3700480 3728564 3791760 3825920 3877008 3911936 3957779 3978240 3994890 4008432 4024860 4030880 4044544 4052240 4091941 4191360 4205568 4232424 4254852 4261216 4278680 4293184 4333440 4423720 4440576 4523176 4591104 4599840 4606720 4641280 4660705 4676504 4837056 4846260 4862688 4889920 4906496 4927031 4963994 5010540 5055680 5134416 5169344 5256960 5290530 5308464 5318565 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1899733920 1906173696 1912657280 1931396152 1964131680 1977493120 2008290144 2026382848 2045383680 2069353020 2076367776 2087995840 2095073792 2171124480 2187601764 2196567345 2207309888 2244721920 2271027255 2295188736 2343005168 2364974880 2372991744 2382717120 2386280960 2414245190 2422429072 2505595008 2510362680 2522639872 2532978560 2541564928 2552202058 2595459720 2618842240 2677720192 2708751360 2723105280 2734502205 2759137360 2768490368 2863537152 2868985920 2894832640 2897094228 2916802352 2928756460 2966239680 2992962560 3028036340 3039574272 3060251648 3131993760 3142610688 3153299840 3163988992 3176956160 3310964832 3340793344 3347150240 3460612960 3514507752 3579421440 3621367785 3633643608 3646002940 3783959808 3799467840 3812347392 3825314560 3828303087 3862792304 3928263360 3954986240 4016580288 4052765696 4138706040 4152735552 4175991680 4190147584 4342248960 4375203528 4393134690 4414619776 4489443840 4542054510 4590377472 4686010336 4729949760 4745983488 4765434240 4772561920 4828490380 4844858144 5011190016 5020725360 5045279744 5065957120 5104404116 5190919440 5237684480 5355440384 5446210560 5469004410 5518274720 5536980736 5737971840 5794188456 5833604704 5857512920 5932479360 6056072680 6079148544 6263987520 6285221376 6306599680 6353912320 6380505145 6621929664 6681586688 6694300480 6921225920 7029015504 7158842880 7242735570 7267287216 7292005880 7567919616 7598935680 7624694784 7650629120 7656606174 7725584608 7856526720 7909972480 8033160576 8277412080 8305471104 8351983360 8684497920 8750407056 8786269380 8829239552 8932707203 8978887680 9084109020 9180754944 9372020672 9459899520 9491966976 9530868480 9656980760 9689716288 10022380032 10041450720 10131914240 10208808232 10381838880 10475368960 10710880768 10938008820 11036549440 11073961472 11475943680 11588376912 11667209408 11715025840 11864958720 12112145360 12158297088 12527975040 12570442752 12613199360 12707824640 12761010290 13243859328 13388600960 13842451840 14058031008 14317685760 14485471140 14534574432 14584011760 15135839232 15197871360 15301258240 15313212348 15451169216 15713053440 15819944960 16066321152 16554824160 16610942208 16703966720 17500814112 17572538760 17658479104 17865414406 18168218040 18744041344 18919799040 19061736960 19141515435 19313961520 19379432576 20044760064 20082901440 20263828480 20417616464 20763677760 20950737920 21421761536 21876017640 22073098880 22147922944 22951887360 23176753824 23334418816 23430051680 23729917440 24224290720 25055950080 25226398720 25522020580 26487718656 26777201920 26798121609 27684903680 28116062016 28970942280 29069148864 29168023520 30395742720 30626424696 30902338432 31426106880 32132642304 33109648320 33221884416 33407933440 35001628224 35145077520 35316958208 35730828812 36336436080 37488082688 37839598080 38123473920 38283030870 38627923040 38758865152 40165802880 40835232928 41527355520 43752035280 44146197760 44663536015 45903774720 46353507648 46668837632 46860103360 47459834880 48448581440 50111900160 51044041160 52975437312 53554403840 53596243218 55369807360 56232124032 57941884560 58138297728 58336047040 60791485440 61252849392 61804676864 62852213760 64265284608 66219296640 66443768832 70003256448 70290155040 71461657624 72672872160 74976165376 75679196160 76566061740 77255846080 77517730304 80331605760 81670465856 83054711040 87504070560 88292395520 89327072030 92707015296 93337675264 93720206720 96897162880 100223800320 102088082320 105950874624 107108807680 107192486436 110739614720 112464248064 115883769120 116276595456 116672094080 122505698784 123609353728 132438593280 133990608045 140006512896 140580310080 142923315248 145345744320 149952330752 153132123480 154511692160 155035460608 160663211520 163340931712 166109422080 175008141120 176584791040 178654144060 185414030592 186675350528 187440413440 193794325760 204176164640 214384972872 224928496128 231767538240 232553190912 233344188160 245011397568 247218707456 264877186560 267981216090 280013025792 281160620160 285846630496 290691488640 306264246960 309023384320 321326423040 326681863424 332218844160 350016282240 357308288120 370828061184 374880826880 387588651520 408352329280 428769945744 449856992256 463535076480 465106381824 466688376320 490022795136 529754373120 535962432180 560026051584 562321240320 571693260992 581382977280 612528493920 618046768640 653363726848 700032564480 714616576240 741656122368 749761653760 775177303040 816704658560 857539891488 927070152960 933376752640 980045590272 1071924864360 1124642480640 1143386521984 1162765954560 1225056987840 1236093537280 1306727453696 1400065128960 1429233152480 1633409317120 1715079782976 1854140305920 1960091180544 2143849728720 2249284961280 2286773043968 2325531909120 2450113975680 2800130257920 2858466304960 3266818634240 3430159565952 3708280611840 3920182361088 4287699457440 4573546087936 4900227951360 5716932609920 6533637268480 6860319131904 8575398914880 9147092175872 9800455902720 11433865219840 13720638263808 17150797829760 19600911805440 22867730439680 27441276527616 34301595659520 45735460879360 68603191319040 137206382638080
- Sum of all divisors σ(n): 542314284307200
- Sum of proper divisors (its aliquot sum) s(n): 405107901669120
- 137206382638080 is an abundant number, because the sum of its proper divisors (405107901669120) is greater than itself. Its abundance is 267901519031040
Bases of 137206382638080
- Binary: 111110011001001110110011011001010110100000000002
- Hexadecimal: 0x7CC9D9B2B400
- Base-36: 1CMVQPNPXC
Squares and roots of 137206382638080
- 137206382638080 squared (1372063826380802) is 18825591436627220860266086400
- 137206382638080 cubed (1372063826380803) is 2582991302042036640835134358761989210112000
-
The
square root of 137206382638080 is 11713512.8222954535 -
The
cube root of 137206382638080 is 51577.2407590305
Scales and comparisons
How big is 137206382638080?- 137,206,382,638,080 seconds is equal to 4,362,738 years, 29 weeks, 1 day, 2 hours, 8 minutes.
-
To count from 1 to 137,206,382,638,080 would take you about ten million, nine hundred six thousand, eight hundred forty-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 137206382638080 cubic inches would be around 4298.1 feet tall.
Recreational maths with 137206382638080
- 137206382638080 backwards is 080836283602731
- The number of decimal digits it has is: 15
- The sum of 137206382638080's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 137206382638080 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
APA style:
Numbermatics. (2024). Number 137206382638080 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137206382638080/
Chicago style:
Numbermatics. 2024. "Number 137206382638080 - Facts about the integer". https://numbermatics.com/n/137206382638080/
The information we have on file for 137206382638080 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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