138137274830564135
138,137,274,830,564,135 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138137274830564135 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 576 divisors.
138137274830564135 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 138137274830564135:
5 × 73 × 19 × 313 × 792 × 1512
(5 × 7 × 7 × 7 × 19 × 31 × 31 × 31 × 79 × 79 × 151 × 151)See below for interesting mathematical facts about the number 138137274830564135 from the Numbermatics database.
Names of 138137274830564135
- Cardinal: 138137274830564135 can be written as One hundred thirty-eight quadrillion, one hundred thirty-seven trillion, two hundred seventy-four billion, eight hundred thirty million, five hundred sixty-four thousand, one hundred thirty-five.
Scientific notation
- Scientific notation: 1.38137274830564135 × 1017
Factors of 138137274830564135
Divisors of 138137274830564135
- Number of divisors d(n): 576
-
Complete list of divisors:
1 5 7 19 31 35 49 79 95 133 151 155 217 245 343 395 553 589 665 755 931 961 1057 1085 1501 1519 1715 2449 2765 2869 2945 3871 4123 4655 4681 4805 5285 6241 6517 6727 7399 7505 7595 10507 10633 11929 12245 14345 17143 18259 19355 20083 20615 22801 23405 27097 28861 29791 31205 32585 32767 33635 36995 43687 46531 47089 51793 52535 53165 59645 73549 75919 83503 85715 88939 91295 100415 114005 118579 120001 127813 135485 140581 144305 145111 148955 159607 163835 193471 202027 208537 218435 226651 229369 232655 235445 258965 305809 325717 329623 367745 369799 379595 417515 433219 444695 514843 531433 566029 584521 592895 600005 622573 639065 702905 706831 725555 798035 830053 840007 894691 942391 967355 984067 1010135 1015777 1042685 1117249 1133255 1146845 1354297 1442461 1459759 1529045 1586557 1605583 1628585 1648115 1801279 1848995 2140663 2166095 2280019 2353489 2574215 2588593 2657165 2757109 2830145 2922605 3032533 3112865 3534155 3675949 3720031 3962203 4091647 4150265 4200035 4358011 4473455 4498441 4711955 4920335 4947817 5078885 5586245 5810371 5997601 6262837 6596737 6771485 7026181 7110439 7212305 7298795 7820743 7932785 8027915 9006395 9480079 10097227 10218313 10703315 11105899 11400095 11463769 11767445 12608953 12942965 13429789 13785545 15162665 15960133 16474423 17905429 18120151 18379745 18600155 19299763 19811015 20458235 21227731 21790055 21911761 22492205 24739085 25731643 26040217 27735421 29051855 29214121 29988005 30506077 31314185 31489087 32983685 34224301 34634719 35130905 35552195 39103715 40672597 41983207 44716291 46177159 47400395 49183267 49773073 50486135 51091565 55529495 55839649 57318845 63044765 66360553 67148945 70680589 77741293 79800665 80246383 82372115 85470379 88262671 89527145 90600755 94008523 96498815 106138655 109558805 113954419 115320961 125338003 126841057 128658215 130201085 135098341 138677105 142301041 146070605 148594117 152530385 153382327 157445435 171121505 173173595 180121501 185925631 194147947 203362985 204498847 209916035 217811611 220423609 223581455 230885795 239570107 242443033 245916335 248865365 279198245 293882449 313014037 323240113 331802765 344282869 353402945 355376839 388706465 390877543 401231915 416323459 427351895 441313355 470042615 494764123 555068299 561724681 569772095 576604805 598292653 617838697 626690015 634205285 658059661 675491705 679264591 711505205 742970585 766911635 797680933 807246727 877366021 900607505 905637751 929628155 945688387 970739735 996107287 1022494235 1060953331 1073676289 1089058055 1102118045 1197850535 1212215165 1260850507 1301479417 1431491929 1469412245 1524681277 1542965263 1565070185 1616200565 1676990749 1721414345 1731029119 1776884195 1954387715 2057177143 2081617295 2191098259 2409980083 2473820615 2487637873 2703719779 2736142801 2775341495 2808623405 2914264213 2991463265 3089193485 3290298305 3396322955 3532586989 3885478093 3932072767 3988404665 4036233635 4188048571 4386830105 4411332271 4528188755 4606417627 4728441935 4754852137 4980536435 5304766655 5368381445 5583766531 6141562147 6304252535 6339464257 6507397085 6752159941 6972751009 7157459645 7426673317 7515734023 7623406385 7714826315 8384953745 8655145595 9110355919 10020443503 10285885715 10672768939 10955491295 11738935243 12049900415 12117203833 12438189365 12906027229 13518598895 13680714005 14571321065 15337687813 17207117269 17413465111 17662934945 18926038453 19152999607 19427390465 19660363835 20399849491 20940242855 22056661355 23032088135 23774260685 24728108923 27198346651 27918832655 28074770281 29316339997 30707810735 30879325897 31697321285 32889553261 33283964959 33760799705 34863755045 37133366585 37578670115 39086365717 44376249799 45551779595 47265119587 48809257063 50102217515 51986713219 53363844695 53661902689 58694676215 60586019165 63772491433 64530136145 74709382573 76688439065 83815313149 84820426831 86035586345 87067325555 90342190603 94630192265 95764998035 101999247455 120449820883 121894255777 123640544615 132482269171 135991733255 136751300401 140373851405 142798946437 146581699985 154396629485 164447766305 166419824795 173096762461 190388426557 195431828585 196523391967 216155281279 221881248995 230226872827 232987754713 236325597935 244046285315 259933566095 268309513445 310633748593 318862457165 330855837109 363906992533 373546912865 375633318823 419076565745 424102134155 451710953015 533420635339 586707192043 593742987817 602249104415 609471278885 632395334221 662411345855 683756502005 713994732185 843148746181 865483812305 927375884197 951942132785 957259102807 982616959835 1019576151091 1080776406395 1151134364135 1164938773565 1211677337227 1375663743769 1513086968953 1553168742965 1611588109789 1654279185545 1819534962665 1878166594115 2315990859763 2598274707619 2629433231761 2667103176695 2933535960215 2968714939085 3161976671105 3733944447373 4106950344301 4215743730905 4239290312431 4426767339547 4636879420985 4786295514035 5097880755455 5902041223267 6058386686135 6700813719649 6878318718845 7137033057637 7565434844765 8057940548945 9629646206383 11281116768523 11579954298815 12991373538095 13147166158805 18187922953333 18406032622327 18669722236865 20534751721505 21196451562155 22133836697735 26137611131611 28748652410107 29510206116335 29675032187017 33504068598245 35685165288185 46905696037543 48148231031915 49959231403459 56405583842615 80546515936189 90939614766665 92030163111635 127315460673331 130688055658055 143743262050535 148375160935085 182963277921277 207725225309119 234528480187715 249796157017295 349714619824213 402732579680945 563825611553323 636577303366655 891208224713317 914816389606385 1038626126545595 1454076577163833 1748573099121065 2819128057766615 3946779280873261 4456041123566585 7270382885819165 19733896404366305 27627454966112827 138137274830564135
- Sum of all divisors σ(n): 214383587798016000
- Sum of proper divisors (its aliquot sum) s(n): 76246312967451865
- 138137274830564135 is a deficient number, because the sum of its proper divisors (76246312967451865) is less than itself. Its deficiency is 61890961863112270
Bases of 138137274830564135
- Binary: 1111010101100001100011110100111001000010000101011001001112
- Hexadecimal: 0x1EAC31E9C842B27
- Base-36: 11S5KRZNDH5Z
Squares and roots of 138137274830564135
- 138137274830564135 squared (1381372748305641352) is 19081906697614807671972762348298225
- 138137274830564135 cubed (1381372748305641353) is 2635922589779599164295752890307176443913533969160375
-
The
square root of 138137274830564135 is 371668232.2052345315 -
The
cube root of 138137274830564135 is 516936.2182521327
Scales and comparisons
How big is 138137274830564135?- 138,137,274,830,564,135 seconds is equal to 4,392,338,052 years, 50 weeks, 1 day, 16 hours, 15 minutes, 35 seconds.
-
To count from 1 to 138,137,274,830,564,135 would take you about thirteen billion, one hundred seventy-seven million, fourteen thousand, one hundred fifty-eight 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 138137274830564135 cubic inches would be around 43078 feet tall.
Recreational maths with 138137274830564135
- 138137274830564135 backwards is 531465038472731831
- The number of decimal digits it has is: 18
- The sum of 138137274830564135's digits is 71
- More coming soon!
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