138059037196704
138,059,037,196,704 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138059037196704 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 960 divisors.
138059037196704 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138059037196704:
25 × 34 × 13 × 19 × 61 × 181 × 19531
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 13 × 19 × 61 × 181 × 19531)See below for interesting mathematical facts about the number 138059037196704 from the Numbermatics database.
Names of 138059037196704
- Cardinal: 138059037196704 can be written as One hundred thirty-eight trillion, fifty-nine billion, thirty-seven million, one hundred ninety-six thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38059037196704 × 1014
Factors of 138059037196704
Divisors of 138059037196704
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 32 36 38 39 48 52 54 57 61 72 76 78 81 96 104 108 114 117 122 144 152 156 162 171 181 183 208 216 228 234 244 247 288 304 312 324 342 351 362 366 416 432 456 468 488 494 513 543 549 608 624 648 684 702 724 732 741 793 864 912 936 976 988 1026 1053 1086 1098 1159 1248 1296 1368 1404 1448 1464 1482 1539 1586 1629 1647 1824 1872 1952 1976 2052 2106 2172 2196 2223 2318 2353 2379 2592 2736 2808 2896 2928 2964 3078 3172 3258 3294 3439 3477 3744 3952 4104 4212 4344 4392 4446 4636 4706 4758 4887 4941 5472 5616 5792 5856 5928 6156 6344 6516 6588 6669 6878 6954 7059 7137 7904 8208 8424 8688 8784 8892 9272 9412 9516 9774 9882 10317 10431 11041 11232 11856 12312 12688 13032 13176 13338 13756 13908 14118 14274 14661 15067 16416 16848 17376 17568 17784 18544 18824 19032 19531 19548 19764 20007 20634 20862 21177 21411 22082 23712 24624 25376 26064 26352 26676 27512 27816 28236 28548 29322 30134 30951 31293 33123 33696 35568 37088 37648 38064 39062 39096 39528 40014 41268 41724 42354 42822 44164 44707 45201 49248 52128 52704 53352 55024 55632 56472 57096 58593 58644 60268 61902 62586 63531 64233 66246 71136 75296 76128 78124 78192 79056 80028 82536 83448 84708 85644 88328 89414 90402 92853 93879 99369 106704 110048 111264 112944 114192 117186 117288 120536 123804 125172 127062 128466 132492 134121 135603 143533 156248 156384 158112 160056 165072 166896 169416 171288 175779 176656 178828 180804 185706 187758 190593 198738 209779 213408 225888 228384 234372 234576 241072 247608 250344 253903 254124 256932 264984 268242 271206 278559 287066 298107 312496 320112 330144 333792 338832 342576 351558 353312 357656 361608 371089 371412 375516 381186 397476 402363 406809 419558 430599 468744 469152 482144 495216 500688 507806 508248 513864 527337 529968 536484 542412 557118 574132 596214 624992 629337 640224 677664 685152 703116 715312 723216 742178 742824 751032 761709 762372 794952 804726 813618 839116 861198 894321 937488 990432 1001376 1015612 1016496 1027728 1054674 1059936 1072968 1084824 1113267 1114236 1148264 1191391 1192428 1207089 1220427 1258674 1291797 1406232 1430624 1446432 1484356 1485648 1502064 1523418 1524744 1582011 1589904 1609452 1627236 1678232 1722396 1788642 1874976 1888011 2031224 2032992 2055456 2109348 2145936 2169648 2226534 2228472 2285127 2296528 2382782 2384856 2414178 2440854 2517348 2583594 2727127 2812464 2968712 2971296 3004128 3046836 3049488 3164022 3179808 3218904 3254472 3339801 3356464 3444792 3535111 3574173 3577284 3621267 3776022 3875391 4062448 4218696 4291872 4339296 4453068 4456944 4570254 4593056 4765564 4769712 4824157 4828356 4881708 5034696 5167188 5454254 5624928 5664033 5937424 6093672 6098976 6328044 6437808 6508944 6679602 6712928 6855381 6889584 7070222 7148346 7154568 7242534 7552044 7750782 8124896 8181381 8437392 8906136 8913888 9140508 9531128 9539424 9648314 9656712 9763416 10019403 10069392 10334376 10605333 10722519 10908508 11328066 11626173 11874848 12187344 12656088 12875616 13017888 13359204 13710762 13779168 14140444 14296692 14309136 14472471 14485068 15104088 15488083 15501564 16362762 16874784 16992099 17812272 18281016 19062256 19296628 19313424 19526832 20038806 20138784 20566143 20668752 21210666 21445038 21817016 22636429 22656132 23252346 24374688 24544143 25312176 26718408 27421524 28280888 28593384 28618272 28944942 28970136 30058209 30208176 30976166 31003128 31815999 32167557 32725524 33984198 35624544 36562032 38124512 38593256 38626848 39053664 40077612 41132286 41337504 42421332 42890076 43417413 43634032 45272858 45312264 45956443 46464249 46504692 49088286 50624352 53436816 54843048 56561776 57186768 57889884 57940272 60116418 60416352 61952332 62006256 63631998 64335114 65451048 67167109 67909287 67968396 73124064 73632429 77186512 80155224 82264572 84842664 85780152 86834826 87268064 90545716 90624528 91912886 92928498 93009384 95447997 96502671 98176572 106873632 109686096 113123552 114373536 115779768 115880544 120232836 123904664 124012512 127263996 128670228 130252239 130902096 134334218 135818574 135936792 137869329 139392747 147264858 154373024 160310448 164529144 169685328 171560304 173669652 181091432 181249056 183825772 185856996 186018768 190895994 193005342 196353144 201501327 203727861 215641771 219372192 220897287 231559536 240465672 247809328 254527992 257340456 260504478 261804192 268668436 271637148 271873584 275738658 278785494 286343991 294273577 294529716 320620896 329058288 339370656 343120608 347339304 362182864 367651544 371713992 372037536 381791988 386010684 390756717 392706288 403002654 407455722 413607987 418178241 431283542 441794574 463119072 480931344 495618656 509055984 514680912 521008956 537336872 543274296 543747168 551477316 557570988 572687982 588547154 589059432 604503981 611183583 646925313 658116576 694678608 724365728 735303088 743427984 763583976 772021368 781513434 785412576 806005308 814911444 827215974 836356482 862567084 873172417 882820731 883589148 961862688 1018111968 1029361824 1042017912 1074673744 1086548592 1102954632 1115141976 1145375964 1177094308 1178118864 1209007962 1222367166 1240823961 1254534723 1293850626 1389357216 1470606176 1486855968 1527167952 1544042736 1563026868 1612010616 1629822888 1654431948 1672712964 1725134168 1746344834 1765641462 1767178296 1813511943 1833550749 1940775939 2084035824 2149347488 2173097184 2205909264 2230283952 2290751928 2354188616 2356237728 2418015924 2444734332 2481647922 2509069446 2587701252 2619517251 2648462193 2803343023 3054335904 3088085472 3126053736 3224021232 3259645776 3308863896 3345425928 3450268336 3492689668 3531282924 3534356592 3627023886 3667101498 3722471883 3881551878 4097193649 4168071648 4411818528 4460567904 4581503856 4708377232 4836031848 4889468664 4963295844 5018138892 5175402504 5239034502 5296924386 5440535829 5606686046 5822327817 6252107472 6448042464 6519291552 6617727792 6690851856 6900536672 6985379336 7062565848 7068713184 7254047772 7334202996 7444943766 7763103756 7858551753 7945386579 8194387298 8410029069 9163007712 9416754464 9672063696 9778937328 9926591688 10036277784 10350805008 10478069004 10593848772 10881071658 11213372092 11644655634 12291580947 12504214944 13235455584 13381703712 13970758672 14125131696 14508095544 14668405992 14889887532 15526207512 15717103506 15890773158 16388774596 16820058138 17466983451 19344127392 19557874656 19853183376 20072555568 20701610016 20956138008 21187697544 21762143316 22426744184 23289311268 23575655259 23836159737 24583161894 25230087207 27941517344 28250263392 29016191088 29336811984 29779775064 31052415024 31434207012 31781546316 32777549192 33640116276 34933966902 36874742841 39706366752 40145111136 41912276016 42375395088 43524286632 44853488368 46578622536 47151310518 47672319474 49166323788 50460174414 53263517437 58032382176 58673623968 59559550128 62104830048 62868414024 63563092632 65555098384 67280232552 69867933804 70726965777 73749485682 75690261621 83824552032 84750790176 87048573264 89706976736 93157245072 94302621036 95344638948 98332647576 100920348828 106527034874 110624228523 119119100256 125736828048 127126185264 131110196768 134560465104 139735867608 141453931554 147498971364 151380523242 159790552311 174097146528 186314490144 188605242072 190689277896 196665295152 201840697656 213054069748 221248457046 227070784863 251473656096 254252370528 269120930208 279471735216 282907863108 294997942728 302761046484 319581104622 331872685569 377210484144 381378555792 393330590304 403681395312 426108139496 442496914092 454141569726 479371656933 558943470432 565815726216 589995885456 605522092968 639162209244 663745371138 754420968288 762757111584 807362790624 852216278992 884993828184 908283139452 958743313866 1131631452432 1179991770912 1211044185936 1278324418488 1327490742276 1438114970799 1704432557984 1769987656368 1816566278904 1917486627732 2263262904864 2422088371872 2556648836976 2654981484552 2876229941598 3539975312736 3633132557808 3834973255464 4314344912397 5113297673952 5309962969104 5752459883196 7266265115616 7669946510928 8628689824794 10619925938208 11504919766392 15339893021856 17257379649588 23009839532784 34514759299176 46019679065568 69029518598352 138059037196704
- Sum of all divisors σ(n): 470428629390720
- Sum of proper divisors (its aliquot sum) s(n): 332369592194016
- 138059037196704 is an abundant number, because the sum of its proper divisors (332369592194016) is greater than itself. Its abundance is 194310554997312
Bases of 138059037196704
- Binary: 111110110010000010111111101111011000001101000002
- Hexadecimal: 0x7D905FDEC1A0
- Base-36: 1CXRG26200
Squares and roots of 138059037196704
- 138059037196704 squared (1380590371967042) is 19060297751680898666788463616
- 138059037196704 cubed (1380590371967043) is 2631446356279566810178038660886455739121664
-
The
square root of 138059037196704 is 11749852.6457442863 -
The
cube root of 138059037196704 is 51683.8606403089
Scales and comparisons
How big is 138059037196704?- 138,059,037,196,704 seconds is equal to 4,389,850 years, 17 weeks, 4 days, 2 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,059,037,196,704 would take you about ten million, nine hundred seventy-four thousand, six hundred twenty-five 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 138059037196704 cubic inches would be around 4307 feet tall.
Recreational maths with 138059037196704
- 138059037196704 backwards is 407691730950831
- The number of decimal digits it has is: 15
- The sum of 138059037196704's digits is 63
- More coming soon!
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The information we have on file for 138059037196704 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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