137698189187328
137,698,189,187,328 is an even composite number composed of six prime numbers multiplied together.
What does the number 137698189187328 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1080 divisors.
137698189187328 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eighty divisors.
Prime factorization of 137698189187328:
28 × 34 × 72 × 11 × 2143 × 5749
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 2143 × 5749)See below for interesting mathematical facts about the number 137698189187328 from the Numbermatics database.
Names of 137698189187328
- Cardinal: 137698189187328 can be written as One hundred thirty-seven trillion, six hundred ninety-eight billion, one hundred eighty-nine million, one hundred eighty-seven thousand, three hundred twenty-eight.
Scientific notation
- Scientific notation: 1.37698189187328 × 1014
Factors of 137698189187328
Divisors of 137698189187328
- Number of divisors d(n): 1080
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 32 33 36 42 44 48 49 54 56 63 64 66 72 77 81 84 88 96 98 99 108 112 126 128 132 144 147 154 162 168 176 189 192 196 198 216 224 231 252 256 264 288 294 297 308 324 336 352 378 384 392 396 432 441 448 462 504 528 539 567 576 588 594 616 648 672 693 704 756 768 784 792 864 882 891 896 924 1008 1056 1078 1134 1152 1176 1188 1232 1296 1323 1344 1386 1408 1512 1568 1584 1617 1728 1764 1782 1792 1848 2016 2079 2112 2143 2156 2268 2304 2352 2376 2464 2592 2646 2688 2772 2816 3024 3136 3168 3234 3456 3528 3564 3696 3969 4032 4158 4224 4286 4312 4536 4704 4752 4851 4928 5184 5292 5376 5544 5749 6048 6237 6272 6336 6429 6468 6912 7056 7128 7392 7938 8064 8316 8448 8572 8624 9072 9408 9504 9702 9856 10368 10584 11088 11498 12096 12474 12544 12672 12858 12936 14112 14256 14553 14784 15001 15876 16128 16632 17144 17247 17248 18144 18816 19008 19287 19404 19712 20736 21168 22176 22996 23573 24192 24948 25344 25716 25872 28224 28512 29106 29568 30002 31752 33264 34288 34494 34496 36288 37632 38016 38574 38808 40243 42336 43659 44352 45003 45992 47146 48384 49896 51432 51741 51744 56448 57024 57861 58212 59136 60004 63239 63504 66528 68576 68988 68992 70719 72576 76032 77148 77616 80486 84672 87318 88704 90006 91984 94292 99792 102864 103482 103488 105007 112896 114048 115722 116424 120008 120729 126478 127008 133056 135009 137152 137976 137984 141438 145152 154296 155223 155232 160972 165011 169344 173583 174636 177408 180012 183968 188584 189717 199584 205728 206964 206976 210014 212157 228096 231444 232848 240016 241458 252956 254016 266112 270018 274304 275952 281701 282876 308592 310446 310464 315021 321944 330022 338688 347166 349272 360024 362187 367936 377168 379434 399168 405027 411456 413928 413952 420028 424314 442673 462888 465669 465696 480032 482916 495033 505912 508032 532224 540036 548608 551904 563402 565752 569151 617184 620892 620928 630042 636471 643888 660044 694332 698544 720048 724374 735872 754336 758868 798336 810054 822912 827856 840056 845103 848628 885346 925776 931338 931392 945063 960064 965832 990066 1011824 1016064 1080072 1086561 1103808 1126804 1131504 1138302 1155077 1215081 1234368 1241784 1241856 1260084 1272942 1287776 1320088 1328019 1388664 1397088 1440096 1448748 1471744 1485099 1508672 1517736 1596672 1620108 1645824 1655712 1680112 1690206 1697256 1707453 1770692 1851552 1862676 1862784 1890126 1909413 1920128 1931664 1980132 2023648 2160144 2173122 2207616 2253608 2263008 2276604 2310154 2430162 2468736 2483568 2520168 2535309 2545884 2575552 2640176 2656038 2777328 2794176 2835189 2880192 2897496 2970198 3017344 3035472 3098711 3240216 3259683 3311424 3360224 3380412 3394512 3414906 3465231 3541384 3703104 3725352 3725568 3780252 3818826 3840256 3863328 3960264 3984057 4047296 4320288 4346244 4415232 4455297 4507216 4526016 4553208 4620308 4860324 4937472 4967136 5040336 5070618 5091768 5122359 5151104 5280352 5312076 5554656 5588352 5670378 5760384 5794992 5940396 6034688 6070944 6197422 6480432 6519366 6622848 6720448 6760824 6789024 6829812 6930462 7082768 7406208 7450704 7560504 7605927 7637652 7726656 7920528 7968114 8094592 8505567 8640576 8692488 8910594 9014432 9052032 9106416 9240616 9296133 9720648 9934272 10080672 10141236 10183536 10244718 10302208 10395693 10560704 10624152 11109312 11176704 11340756 11520768 11589984 11880792 11952171 12141888 12320107 12394844 12960864 13038732 13245696 13365891 13440896 13521648 13578048 13659624 13860924 14165536 14812416 14901408 15121008 15211854 15275304 15453312 15841056 15936228 16189184 17011134 17281152 17384976 17821188 18028864 18104064 18212832 18481232 18592266 19441296 19868544 20161344 20282472 20367072 20489436 20791386 21121408 21248304 22218624 22681512 22817781 23179968 23761584 23904342 24283776 24640214 24789688 25921728 26077464 26731782 26881792 27043296 27156096 27319248 27721848 27888399 28331072 29802816 30242016 30423708 30550608 30906624 31187079 31682112 31872456 34022268 34562304 34769952 35642376 35856513 36057728 36425664 36960321 36962464 37184532 38882592 39737088 40322688 40564944 40734144 40978872 41582772 42242816 42496608 44437248 45363024 45635562 46359936 47523168 47808684 48567552 49280428 49579376 51843456 52154928 53463564 54086592 54312192 54638496 55443696 55776798 56662144 59605632 60484032 60847416 61101216 62374158 63364224 63744912 68044536 69539904 71284752 71713026 72115456 72851328 73920642 73924928 74369064 77765184 80645376 81129888 81468288 81957744 83165544 83665197 84993216 86240749 90726048 91271124 92719872 93561237 95046336 95617368 98560856 99158752 103686912 104309856 106927128 108173184 109276992 110880963 110887392 111553596 113324288 119211264 120968064 121694832 122202432 124748316 126728448 127489824 135521177 136089072 139079808 142569504 143426052 145702656 147841284 147849856 148738128 155530368 162259776 162936576 163915488 166331088 167330394 169986432 172481498 181452096 182542248 187122474 190092672 191234736 197121712 198317504 208619712 213854256 216346368 218553984 221761926 221774784 223107192 241936128 243389664 244404864 249496632 250995591 254979648 258722247 271042354 272178144 278159616 285139008 286852104 295682568 295699712 297476256 311060736 324519552 327830976 332642889 332662176 334660788 339972864 344962996 362904192 365084496 374244948 380185344 382469472 394243424 396635008 406563531 417239424 427708512 437107968 443523852 443549568 446214384 486779328 488809728 498993264 501991182 509959296 517444494 542084708 544356288 570278016 573704208 591365136 594952512 603685243 649039104 655661952 665285778 665324352 669321576 689925992 725808384 730168992 748489896 764938944 776166741 788486848 793270016 813127062 834478848 855417024 887047704 887099136 892428768 948648239 973558656 997928667 997986528 1003982364 1019918592 1034888988 1084169416 1088712576 1140556032 1147408416 1182730272 1189905024 1207370486 1219690593 1311323904 1330571556 1330648704 1338643152 1379851984 1460337984 1496979792 1529877888 1552333482 1576973696 1626254124 1710834048 1774095408 1784857536 1811055729 1897296478 1947117312 1995857334 1995973056 2007964728 2069777976 2168338832 2177425152 2294816832 2328500223 2365460544 2379810048 2414740972 2439381186 2661143112 2661297408 2677286304 2759703968 2845944717 2920675968 2993959584 3059755776 3104666964 3153947392 3252508248 3421668096 3548190816 3569715072 3622111458 3659071779 3794592956 3991714668 3991946112 4015929456 4139555952 4336677664 4589633664 4657000446 4730921088 4829481944 4878762372 5322286224 5354572608 5433167187 5519407936 5691889434 5841351936 5987919168 6209333928 6505016496 6640537673 6985500669 7096381632 7139430144 7244222916 7318143558 7589185912 7983429336 7983892224 8031858912 8279111904 8537834151 8673355328 9179267328 9314000892 9461842176 9658963888 9757524744 10644572448 10709145216 10866334374 10977215337 11038815872 11383778868 11975838336 12418667856 13010032992 13281075346 13971001338 14192763264 14488445832 14636287116 15178371824 15966858672 16063717824 16299501561 16558223808 17075668302 17346710656 18628001784 19317927776 19515049488 19921613019 21289144896 21418290432 21732668748 21954430674 22077631744 22767557736 23951676672 24837335712 25613502453 26020065984 26562150692 27942002676 28385526528 28976891664 29272574232 30356743648 31933717344 32127435648 32599003122 33116447616 34151336604 34693421312 37256003568 38635855552 39030098976 39843226038 42578289792 43465337496 43908861348 45535115472 48898504683 49674671424 51227004906 52040131968 53124301384 55884005352 57953783328 58545148464 59764839057 60713487296 63867434688 64254871296 65198006244 66232895232 68302673208 74512007136 76840507359 77271711104 78060197952 79686452076 85156579584 86930674992 87817722696 91070230944 97797009366 99349342848 102454009812 104080263936 106248602768 111768010704 115907566656 117090296928 119529678114 121426974592 127734869376 130396012488 136605346416 149024014272 153681014718 154543422208 156120395904 159372904152 173861349984 175635445392 179294517171 182140461888 195594018732 198698685696 204908019624 212497205536 223536021408 231815133312 234180593856 239059356228 242853949184 255469738752 260792024976 273210692832 298048028544 307362029436 312240791808 318745808304 347722699968 351270890784 358589034342 364280923776 391188037464 409816039248 424994411072 447072042816 463630266624 468361187712 478118712456 521584049952 537883551513 546421385664 596096057088 614724058872 637491616608 695445399936 702541781568 717178068684 728561847552 782376074928 819632078496 849988822144 894144085632 936722375424 956237424912 1043168099904 1075767103026 1092842771328 1229448117744 1274983233216 1390890799872 1405083563136 1434356137368 1564752149856 1639264156992 1699977644288 1788288171264 1912474849824 2086336199808 2151534206052 2185685542656 2458896235488 2549966466432 2810167126272 2868712274736 3129504299712 3278528313984 3824949699648 4172672399616 4303068412104 4917792470976 5099932932864 5737424549472 6259008599424 6557056627968 7649899399296 8606136824208 9835584941952 11474849098944 12518017198848 15299798798592 17212273648416 19671169883904 22949698197888 34424547296832 45899396395776 68849094593664 137698189187328
- Sum of all divisors σ(n): 521380756512000
- Sum of proper divisors (its aliquot sum) s(n): 383682567324672
- 137698189187328 is an abundant number, because the sum of its proper divisors (383682567324672) is greater than itself. Its abundance is 245984378137344
Bases of 137698189187328
- Binary: 111110100111100010110111010011100011001000000002
- Hexadecimal: 0x7D3C5BA71900
- Base-36: 1CT5OAKW00
Squares and roots of 137698189187328
- 137698189187328 squared (1376981891873282) is 18960791305469173733075779584
- 137698189187328 cubed (1376981891873283) is 2610866628321938132041833625549593013911552
-
The
square root of 137698189187328 is 11734487.1718932823 -
The
cube root of 137698189187328 is 51638.7922625563
Scales and comparisons
How big is 137698189187328?- 137,698,189,187,328 seconds is equal to 4,378,376 years, 25 weeks, 2 days, 12 hours, 28 minutes, 48 seconds.
-
To count from 1 to 137,698,189,187,328 would take you about ten million, nine hundred forty-five thousand, nine hundred forty-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 137698189187328 cubic inches would be around 4303.2 feet tall.
Recreational maths with 137698189187328
- 137698189187328 backwards is 823781981896731
- 137698189187328 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137698189187328's digits is 81
- More coming soon!
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The information we have on file for 137698189187328 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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