137074416729250
137,074,416,729,250 is an even composite number composed of seven prime numbers multiplied together.
What does the number 137074416729250 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 864 divisors.
137074416729250 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 137074416729250:
2 × 53 × 7 × 112 × 132 × 19 × 4492
(2 × 5 × 5 × 5 × 7 × 11 × 11 × 13 × 13 × 19 × 449 × 449)See below for interesting mathematical facts about the number 137074416729250 from the Numbermatics database.
Names of 137074416729250
- Cardinal: 137074416729250 can be written as One hundred thirty-seven trillion, seventy-four billion, four hundred sixteen million, seven hundred twenty-nine thousand, two hundred fifty.
Scientific notation
- Scientific notation: 1.3707441672925 × 1014
Factors of 137074416729250
Divisors of 137074416729250
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 5 7 10 11 13 14 19 22 25 26 35 38 50 55 65 70 77 91 95 110 121 125 130 133 143 154 169 175 182 190 209 242 247 250 266 275 286 325 338 350 385 418 449 455 475 494 550 605 650 665 715 770 845 847 875 898 910 950 1001 1045 1183 1210 1235 1330 1375 1430 1463 1573 1625 1690 1694 1729 1750 1859 1925 2002 2090 2245 2275 2299 2366 2375 2470 2717 2750 2926 3025 3143 3146 3211 3250 3325 3458 3575 3718 3850 4225 4235 4490 4550 4598 4750 4939 5005 5225 5434 5837 5915 6050 6175 6286 6422 6650 7150 7315 7865 8450 8470 8531 8645 9295 9625 9878 10010 10450 11011 11225 11375 11495 11674 11830 12350 13013 13585 14630 15125 15715 15730 16055 16093 16625 17062 17290 17875 18590 19019 19250 20449 21125 21175 22022 22450 22477 22750 22990 24695 25025 26026 26125 27170 29185 29575 29887 30250 30875 31430 32110 32186 33250 34573 35321 35750 36575 38038 39325 40859 40898 42250 42350 42655 43225 44954 46475 49390 50050 52250 54329 55055 56125 57475 58370 59150 59717 59774 61750 64207 65065 67925 69146 70642 73150 75881 78575 78650 80275 80465 81718 85310 86450 92950 93841 95095 102245 105875 108658 110110 110903 112250 112385 114950 119434 123475 125125 128414 130130 135850 143143 145925 147875 149435 151762 157150 160550 160930 172865 176605 182875 187682 190190 196625 201601 204295 204490 209209 211750 213275 216125 221806 224770 232375 246950 247247 250250 271645 275275 286286 287375 291850 295750 298585 298870 321035 325325 339625 345730 353210 365750 379405 380303 388531 392875 393250 401375 402325 403202 408590 418418 426550 432250 449449 464750 469205 475475 494494 511225 531167 543290 550550 554515 561925 574750 597170 617375 642070 650650 656887 679250 706277 715715 729625 747175 758810 760606 776321 777062 785750 802750 804650 834691 864325 883025 898898 938410 950950 1008005 1021475 1022450 1032251 1046045 1062334 1066375 1109030 1123850 1219933 1234750 1236235 1313774 1358225 1376375 1411207 1412554 1431430 1441739 1459250 1492925 1494350 1552642 1605175 1626625 1669382 1728650 1766050 1897025 1901515 1942655 2011625 2016010 2042950 2064502 2092090 2132750 2217611 2247245 2346025 2377375 2439866 2472470 2556125 2620813 2655835 2716450 2719717 2752750 2772575 2809625 2822414 2883478 2985850 3210350 3253250 3284435 3531385 3578575 3735875 3794050 3803030 3830419 3881605 3885310 4023250 4173455 4321625 4415125 4435222 4494490 4692050 4754750 4943939 5040025 5107375 5112250 5161255 5230225 5241626 5311670 5439434 5545150 5619250 5842837 6099665 6181175 6568870 6791125 7056035 7062770 7157150 7208695 7225757 7464625 7471750 7660838 7763210 8025875 8346910 8539531 8643250 8830250 9181601 9485125 9507575 9713275 9887878 10080050 10092173 10214750 10322510 10460450 11088055 11236225 11685674 11730125 12199330 12362350 13104065 13279175 13419263 13582250 13598585 13862875 14112070 14417390 14451514 14929250 15523277 15859129 16051750 16422175 17079062 17656925 17892875 18345691 18363202 18970250 19015150 19152095 19408025 19426550 20184346 20867275 22176110 22472450 23460250 24393721 24719695 25200125 25806275 26151125 26208130 26558350 26812933 26838526 27197170 27725750 28828943 29214185 30498325 30905875 31046554 31718258 32844350 34070569 35280175 35313850 35785750 36043475 36128785 36691382 38304190 38816050 41734550 42134609 42697655 45908005 47537875 48566375 48787442 49439390 49795447 50400250 50460865 51612550 52302250 53625866 55440275 56181125 57657886 58428370 60996650 61811750 64271207 65520325 66395875 67096315 67992925 68141138 70560350 72086950 72257570 77616385 79295645 82110875 84269218 85395310 88284625 91728455 91816010 93934841 95075750 95760475 97040125 97132750 99590894 100921730 104336375 110880550 111013903 112362250 121968605 123598475 128542414 129031375 131040650 132791750 134064665 134192630 135985850 144144715 146070925 152491625 155232770 158591290 164221750 170352845 170756047 174450419 176400875 176569250 180217375 180643925 183456910 187869682 191520950 194080250 201802601 208672750 210673045 213488275 222027806 229540025 238493983 243937210 247196950 248977235 252304325 258062750 268129330 277201375 288289430 292141850 294942263 304983250 317118373 321356035 327601625 335481575 339964625 340705690 341512094 348568129 348900838 352801750 360434750 361287850 374776259 388081925 396478225 403605202 421346090 426976550 458642275 459080050 463480699 469674205 476987966 478802375 497954470 504608650 547749917 554402750 555069515 589884526 609843025 617992375 634236746 642712070 647340811 655203250 670323325 670963150 679929250 697136258 720723575 730354625 749552518 776163850 792956450 851764225 853780235 872252095 903219625 917284550 926961398 939348410 957604750 1009013005 1053365225 1067441375 1095499834 1110139030 1147700125 1192469915 1219686050 1221152933 1235984750 1244886175 1261521625 1294681622 1340646650 1441447150 1460709250 1474711315 1585591865 1606780175 1677407875 1703528450 1707560470 1742840645 1744504190 1806439250 1873881295 1940409625 1982391125 2018026010 2106730450 2134882750 2219828611 2293211375 2295400250 2317403495 2348371025 2384939830 2442305866 2489772350 2523043250 2623433813 2738749585 2775347575 2949422630 3049215125 3171183730 3213560350 3236704055 3244364893 3351616625 3354815750 3485681290 3603617875 3747762590 3834249419 3880819250 3964782250 4122538849 4258821125 4268901175 4361260475 4439657222 4531385677 4586422750 4634806990 4696742050 5045065025 5246867626 5266826125 5477499170 5550695150 5962349575 6025249087 6098430250 6105764665 6224430875 6473408110 6488729786 6703233250 7120748921 7207235750 7373556575 7668498838 7927959325 8033900875 8245077698 8517642250 8537802350 8714203225 8722520950 9062771354 9369406475 10090130050 10533652250 11099143055 11587017475 11741855125 11924699150 12050498174 12211529330 12448861750 13117169065 13693747925 13876737875 14241497842 14747113150 15855918650 16067801750 16183520275 16221824465 17428406450 18738812950 19171247095 20612694245 21344505875 21806302375 22198286110 22656928385 23174034950 23483710250 25225325125 26234338130 27387495850 27753475750 28857771943 29811747875 30126245435 30528823325 32367040550 32443648930 35603744605 36867782875 38342494190 39639796625 41225388490 42176743609 42689011750 43571016125 43612604750 45313856770 46847032375 49845242447 50450650250 55495715275 57715543886 57935087375 59623495750 60252490870 61057646650 65585845325 68468739625 71207489210 73735565750 78328238131 79279593250 80917601375 81109122325 84353487218 87142032250 93694064750 95856235475 99690484894 103063471225 110991430550 113284641925 115870174750 131171690650 136937479250 144288859715 150631227175 152644116625 156656476262 161835202750 162218244650 178018723025 191712470950 206126942450 210883718045 226569283850 249226212235 277478576375 288577719430 301262454350 305288233250 327929226625 356037446050 391641190655 405545611625 421767436090 479281177375 498452424470 515317356125 548297666917 554957152750 566423209625 655858453250 721444298575 753156135875 783282381310 811091223250 890093615125 958562354750 1030634712250 1054418590225 1096595333834 1132846419250 1246131061175 1442888597150 1506312271750 1780187230250 1958205953275 2108837180450 2492262122350 2741488334585 3607221492875 3916411906550 5272092951125 5482976669170 6230655305875 7214442985750 9791029766375 10544185902250 12461310611750 13707441672925 19582059532750 27414883345850 68537208364625 137074416729250
- Sum of all divisors σ(n): 368238820360320
- Sum of proper divisors (its aliquot sum) s(n): 231164403631070
- 137074416729250 is an abundant number, because the sum of its proper divisors (231164403631070) is greater than itself. Its abundance is 94089986901820
Bases of 137074416729250
- Binary: 111110010101011000111111110101010111100101000102
- Hexadecimal: 0x7CAB1FEABCA2
- Base-36: 1CL748KAZM
Squares and roots of 137074416729250
- 137074416729250 squared (1370744167292502) is 18789395721664092267805562500
- 137074416729250 cubed (1370744167292503) is 2575545459242170825803102367536206453125000
-
The
square root of 137074416729250 is 11707878.4042733379 -
The
cube root of 137074416729250 is 51560.6996899131
Scales and comparisons
How big is 137074416729250?- 137,074,416,729,250 seconds is equal to 4,358,542 years, 23 weeks, 3 days, 21 hours, 14 minutes, 10 seconds.
-
To count from 1 to 137,074,416,729,250 would take you about ten million, eight hundred ninety-six thousand, three hundred fifty-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 137074416729250 cubic inches would be around 4296.7 feet tall.
Recreational maths with 137074416729250
- 137074416729250 backwards is 052927614470731
- The number of decimal digits it has is: 15
- The sum of 137074416729250's digits is 58
- More coming soon!
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The information we have on file for 137074416729250 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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