137372128820136
137,372,128,820,136 is an even composite number composed of six prime numbers multiplied together.
What does the number 137372128820136 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1248 divisors.
137372128820136 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred forty-eight divisors.
Prime factorization of 137372128820136:
23 × 312 × 72 × 17 × 79 × 491
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 17 × 79 × 491)See below for interesting mathematical facts about the number 137372128820136 from the Numbermatics database.
Names of 137372128820136
- Cardinal: 137372128820136 can be written as One hundred thirty-seven trillion, three hundred seventy-two billion, one hundred twenty-eight million, eight hundred twenty thousand, one hundred thirty-six.
Scientific notation
- Scientific notation: 1.37372128820136 × 1014
Factors of 137372128820136
Divisors of 137372128820136
- Number of divisors d(n): 1248
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 49 51 54 56 63 68 72 79 81 84 98 102 108 119 126 136 147 153 158 162 168 189 196 204 216 237 238 243 252 294 306 316 324 357 378 392 408 441 459 474 476 486 491 504 553 567 588 612 632 648 711 714 729 756 833 882 918 948 952 972 982 1071 1106 1134 1176 1224 1323 1343 1377 1422 1428 1458 1473 1512 1659 1666 1701 1764 1836 1896 1944 1964 2133 2142 2187 2212 2268 2499 2646 2686 2754 2844 2856 2916 2946 3213 3318 3332 3402 3437 3528 3672 3871 3928 3969 4029 4131 4266 4284 4374 4419 4424 4536 4977 4998 5103 5292 5372 5508 5688 5832 5892 6399 6426 6561 6636 6664 6804 6874 7497 7742 7938 8058 8262 8347 8532 8568 8748 8838 9401 9639 9954 9996 10206 10311 10584 10744 11016 11613 11784 11907 12087 12393 12798 12852 13122 13257 13272 13608 13748 14931 14994 15309 15484 15876 16116 16524 16694 17064 17496 17676 18802 19197 19278 19683 19908 19992 20412 20622 22491 23226 23814 24059 24174 24786 25041 25596 25704 26244 26514 27496 28203 28917 29862 29988 30618 30933 30968 31752 32232 33048 33388 34839 35352 35721 36261 37179 37604 38394 38556 38789 39366 39771 39816 40824 41244 44793 44982 45927 46452 47628 48118 48348 49572 50082 51192 52488 53028 56406 57591 57834 58429 59049 59724 59976 61236 61866 65807 66776 67473 69678 71442 72177 72522 74358 75123 75208 76788 77112 77578 78732 79542 82488 84609 86751 89586 89964 91854 92799 92904 95256 96236 96696 99144 100164 104517 106056 107163 108783 111537 112812 115182 115668 116367 116858 118098 119313 119448 122472 123732 131614 134379 134946 137781 139356 142884 144354 145044 148716 150246 153576 155156 157464 159084 169218 172773 173502 175287 177147 179172 179928 183708 185598 192472 197421 200328 202419 209034 214326 216531 217566 223074 225369 225624 230364 231336 232734 233716 236196 238626 247464 253827 260253 263228 268758 269892 271523 275562 278397 278712 285768 288708 290088 297432 300492 310312 313551 318168 321489 326349 334611 338436 345546 347004 349101 350574 354294 357939 358344 367416 371196 394842 403137 404838 409003 413343 418068 428652 433062 435132 446148 450738 460728 465468 467432 472392 477252 507654 518319 520506 525861 526456 531441 537516 539784 543046 551124 556794 577416 592263 600984 607257 627102 642978 649593 652698 659413 669222 676107 676872 691092 694008 698202 701148 708588 715878 742392 761481 780759 789684 806274 809676 814569 818006 826686 835191 836136 857304 866124 870264 892296 901476 930936 940653 954504 964467 979047 1003833 1015308 1036638 1041012 1047303 1051722 1062882 1073817 1075032 1086092 1102248 1113588 1184526 1209411 1214514 1227009 1240029 1254204 1285956 1299186 1305396 1318826 1338444 1352214 1382184 1396404 1402296 1417176 1431756 1522962 1554957 1561518 1577583 1579368 1612548 1619352 1629138 1636012 1653372 1670382 1732248 1776789 1802952 1821771 1881306 1900661 1928934 1948779 1958094 1978239 2007666 2028321 2030616 2073276 2082024 2094606 2103444 2125764 2147634 2172184 2227176 2284443 2342277 2369052 2418822 2429028 2443707 2454018 2480058 2505573 2508408 2571912 2598372 2610792 2637652 2676888 2704428 2792808 2821959 2863512 2893401 2937141 3011499 3045924 3109914 3123036 3141909 3155166 3221451 3225096 3258276 3272024 3306744 3340764 3553578 3628233 3643542 3681027 3720087 3762612 3801322 3857868 3897558 3916188 3956478 4015332 4056642 4146552 4189212 4206888 4251528 4295268 4568886 4615891 4664871 4684554 4732749 4738104 4837644 4858056 4887414 4908036 4960116 5011146 5196744 5275304 5330367 5408856 5465313 5643918 5701983 5786802 5846337 5874282 5934717 6022998 6084963 6091848 6219828 6246072 6283818 6310332 6442902 6516552 6681528 6853329 7026831 7107156 7256466 7287084 7331121 7362054 7440174 7516719 7525224 7602644 7715736 7795116 7832376 7912956 8030664 8113284 8378424 8465877 8590536 8680203 8811423 9034497 9137772 9231782 9329742 9369108 9425727 9465498 9664353 9675288 9774828 9816072 9920232 10022292 10660734 10884699 10930626 11043081 11287836 11403966 11573604 11692674 11748564 11869434 12045996 12169926 12439656 12567636 12620664 12885804 13706658 13847673 13994613 14053662 14198247 14214312 14512932 14574168 14662242 14724108 14880348 15033438 15205288 15590232 15825912 15991101 16226568 16395939 16931754 17105949 17360406 17539011 17622846 17804151 18068994 18254889 18275544 18463564 18659484 18738216 18851454 18930996 19328706 19549656 20044584 20559987 21080493 21321468 21769398 21861252 21993363 22086162 22550157 22575672 22807932 23147208 23385348 23497128 23738868 24091992 24339852 25135272 25397631 25771608 26040609 26434269 27413316 27695346 27989226 28107324 28277181 28396494 28993059 29025864 29324484 29448216 29760696 30066876 31982202 32311237 32654097 32791878 33129243 33863508 34211898 34720812 35078022 35245692 35608302 36137988 36509778 36927128 37318968 37702908 37861992 38657412 41119974 41543019 41983839 42160986 42594741 42642936 43538796 43722504 43986726 44172324 45100314 45615864 46770696 47477736 47973303 48679704 49187817 50795262 51317847 52081218 52617033 52868538 53412453 54764667 54826632 55390692 55978452 56214648 56554362 56792988 57986118 58648968 60133752 61679961 63241479 63964404 64622474 65308194 65583756 65980089 66258486 67650471 67727016 68423796 69441624 70156044 70491384 71216604 72275976 73019556 75405816 76192893 77314824 79302807 82239948 83086038 83967678 84321972 84831543 85189482 86979177 87077592 87973452 88344648 90200628 95946606 96933711 97962291 98375634 99387729 101590524 102635694 104162436 105234066 105737076 106824906 109529334 110781384 111956904 113108724 113585976 115972236 123359922 124629057 126482958 127784223 127928808 129244948 130616388 131167512 131960178 132516972 135300942 136847592 140312088 142433208 143919909 146039112 147563451 152385786 153953541 157851099 158605614 160237359 164294001 164479896 166172076 167935356 168643944 169663086 170378964 173958354 175946904 180401256 185039883 191893212 193867422 195924582 196751268 197940267 198775458 202951413 203181048 205271388 208324872 210468132 211474152 213649812 219058668 226217448 228578679 231944472 237908421 246719844 249258114 252965916 254494629 255568446 258489896 260937531 261232776 263920356 265033944 270601884 287839818 290801133 293886873 295126902 298163187 304771572 307907082 315702198 317211228 320474718 328588002 332344152 335870712 339326172 340757928 347916708 370079766 373887171 383352669 383786424 387734844 391849164 393502536 395880534 397550916 405902826 410542776 420936264 427299624 431759727 438117336 442690353 457157358 461860623 473553297 475816842 480712077 492882003 493439688 498516228 505931832 508989258 511136892 521875062 527840712 541203768 555119649 575679636 581602266 587773746 590253804 593820801 596326374 608854239 609543144 615814164 631404396 634422456 640949436 657176004 678652344 685736037 695833416 713725263 740159532 747774342 763483887 766705338 775469688 783698328 791761068 795101832 811805652 863519454 872403399 885380706 894489561 914314716 923721246 947106594 951633684 961424154 985764006 997032456 1017978516 1022273784 1043750124 1110239298 1121661513 1150058007 1151359272 1163204532 1175547492 1180507608 1187641602 1192652748 1217708478 1231628328 1262808792 1281898872 1295279181 1314352008 1371472074 1385581869 1420659891 1427450526 1442136231 1478646009 1480319064 1495548684 1526967774 1533410676 1583522136 1623611304 1665358947 1727038908 1744806798 1770761412 1781462403 1788979122 1826562717 1828629432 1847442492 1894213188 1903267368 1922848308 1971528012 2035957032 2057208111 2087500248 2220478596 2243323026 2290451661 2300116014 2326409064 2351094984 2375283204 2385305496 2435416956 2590558362 2617210197 2683468683 2742944148 2771163738 2841319782 2854901052 2884272462 2957292018 2991097368 3053935548 3066821352 3330717894 3364984539 3450174021 3454077816 3489613596 3541522824 3562924806 3577958244 3653125434 3694884984 3788426376 3845696616 3885837543 3943056024 4114416222 4156745607 4261979673 4326408693 4435938027 4440957192 4486646052 4580903322 4600232028 4750566408 4870833912 4996076841 5181116724 5234420394 5344387209 5366937366 5485888296 5542327476 5682639564 5709802104 5768544924 5914584036 6107871096 6661435788 6729969078 6871354983 6900348042 6979227192 7125849612 7155916488 7306250868 7771675086 7851630591 8050406049 8228832444 8313491214 8523959346 8652817386 8871876054 8973292104 9161806644 9200464056 9992153682 10094953617 10350522063 10362233448 10468840788 10688774418 10733874732 11084654952 11365279128 11537089848 11657512629 11829168072 12470236821 12785939019 12979226079 13322871576 13459938156 13742709966 13800696084 14251699224 14612501736 15543350172 15703261182 16033161627 16100812098 16457664888 16626982428 17047918692 17305634772 17743752108 18323613288 19984307364 20189907234 20614064949 20701044126 20937681576 21377548836 21467749464 23315025258 23554891773 24151218147 24940473642 25571878038 25958452158 26919876312 27485419932 27601392168 30284860851 31051566189 31086700344 31406522364 32066323254 32201624196 33253964856 34095837384 34611269544 34972537887 35487504216 37410710463 38937678237 39968614728 40379814468 41228129898 41402088252 42755097672 46630050516 47109783546 48099484881 48302436294 49880947284 51143756076 51916904316 54970839864 60569721702 62103132378 62813044728 64132646508 64403248392 69945075774 70664675319 72453654441 74821420926 77875356474 80759628936 82456259796 82804176504 90854582553 93260101032 94219567092 96198969762 96604872588 99761894568 102287512152 103833808632 112232131389 116813034711 121139443404 124206264756 128265293016 139890151548 141329350638 144298454643 144907308882 149642841852 155750712948 164912519592 181709165106 188439134184 192397939524 193209745176 211994025957 217360963323 224464262778 233626069422 242278886808 248412529512 272563747659 279780303096 282658701276 288596909286 289814617764 299285683704 311501425896 336696394167 350439104133 363418330212 384795879048 423988051914 434721926646 448928525556 467252138844 545127495318 565317402552 577193818572 579629235528 635982077871 673392788334 700878208266 726836660424 817691242977 847976103828 869443853292 897857051112 934504277688 1010089182501 1090254990636 1154387637144 1271964155742 1346785576668 1401756416532 1635382485954 1695952207656 1738887706584 1907946233613 2020178365002 2180509981272 2453073728931 2543928311484 2693571153336 2803512833064 3270764971908 3815892467226 4040356730004 4906147457862 5087856622968 5723838700839 6541529943816 7631784934452 8080713460008 9812294915724 11447677401678 15263569868904 17171516102517 19624589831448 22895354803356 34343032205034 45790709606712 68686064410068 137372128820136
- Sum of all divisors σ(n): 482880594614400
- Sum of proper divisors (its aliquot sum) s(n): 345508465794264
- 137372128820136 is an abundant number, because the sum of its proper divisors (345508465794264) is greater than itself. Its abundance is 208136336974128
Bases of 137372128820136
- Binary: 111110011110000011100001111000010111011101010002
- Hexadecimal: 0x7CF070F0BBA8
- Base-36: 1COZVUNMI0
Squares and roots of 137372128820136
- 137372128820136 squared (1373721288201362) is 18871101776576039811439058496
- 137372128820136 cubed (1373721288201363) is 2592363424229701069344069194706383166675456
-
The
square root of 137372128820136 is 11720585.6858834491 -
The
cube root of 137372128820136 is 51598.0009466491
Scales and comparisons
How big is 137372128820136?- 137,372,128,820,136 seconds is equal to 4,368,008 years, 40 weeks, 2 days, 16 hours, 15 minutes, 36 seconds.
-
To count from 1 to 137,372,128,820,136 would take you about ten million, nine hundred twenty thousand and twenty-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 137372128820136 cubic inches would be around 4299.8 feet tall.
Recreational maths with 137372128820136
- 137372128820136 backwards is 631028821273731
- 137372128820136 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137372128820136's digits is 54
- More coming soon!
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"Number 137372128820136 - Facts about the integer". Numbermatics.com. 2024. Web. 22 May 2024.
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The information we have on file for 137372128820136 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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