138343344789890625
138,343,344,789,890,625 is an odd composite number composed of five prime numbers multiplied together.
What does the number 138343344789890625 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1400 divisors.
138343344789890625 is an odd composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred divisors.
Prime factorization of 138343344789890625:
3 × 56 × 74 × 113 × 314
(3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 11 × 11 × 11 × 31 × 31 × 31 × 31)See below for interesting mathematical facts about the number 138343344789890625 from the Numbermatics database.
Names of 138343344789890625
- Cardinal: 138343344789890625 can be written as One hundred thirty-eight quadrillion, three hundred forty-three trillion, three hundred forty-four billion, seven hundred eighty-nine million, eight hundred ninety thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38343344789890625 × 1017
Factors of 138343344789890625
Divisors of 138343344789890625
- Number of divisors d(n): 1400
-
Complete list of divisors:
1 3 5 7 11 15 21 25 31 33 35 49 55 75 77 93 105 121 125 147 155 165 175 217 231 245 275 341 343 363 375 385 465 525 539 605 625 651 735 775 825 847 875 961 1023 1029 1085 1155 1225 1331 1375 1519 1617 1705 1715 1815 1875 1925 2325 2387 2401 2541 2625 2695 2883 3025 3125 3255 3675 3751 3773 3875 3993 4125 4235 4375 4557 4805 5115 5145 5425 5775 5929 6125 6655 6727 6875 7161 7203 7595 8085 8525 8575 9075 9317 9375 9625 10571 10633 11253 11319 11625 11935 12005 12705 13125 13475 14415 15125 15625 16275 16709 17787 18375 18755 18865 19375 19965 20181 20625 21175 21875 22785 24025 25575 25725 26257 26411 27125 27951 28875 29645 29791 30625 31713 31899 33275 33635 34375 35805 36015 37975 40425 41261 41503 42625 42875 45375 46585 46875 47089 48125 50127 52855 53165 56265 56595 58125 59675 60025 63525 65219 65625 67375 72075 73997 74431 75625 78771 79233 81375 83545 88935 89373 91875 93775 94325 96875 99825 100905 103125 105875 109375 113925 116281 116963 120125 123783 124509 127875 128625 131285 132055 135625 139755 141267 144375 148225 148955 153125 158565 159495 166375 168175 171875 179025 180075 183799 189875 195657 202125 206305 207515 208537 213125 214375 221991 223293 226875 232925 235445 240625 250635 264275 265825 281325 282975 288827 290521 290625 298375 300125 317625 326095 327701 328125 329623 336875 348843 350889 360375 369985 372155 378125 393855 396165 406875 417725 444675 446865 456533 459375 468875 471625 484375 499125 504525 515625 517979 529375 551397 569625 581405 584815 600625 618915 622545 625611 639375 643125 656425 660275 678125 698775 706335 721875 741125 744775 765625 792825 797475 813967 818741 831875 840875 866481 871563 895125 900375 918995 923521 949375 978285 983103 988869 1010625 1031525 1037575 1042685 1065625 1071875 1109955 1116465 1134375 1164625 1177225 1203125 1253175 1279091 1286593 1321375 1329125 1369599 1406625 1414875 1444135 1452605 1453125 1459759 1491875 1500625 1553937 1588125 1630475 1638505 1648115 1684375 1744215 1754445 1801875 1849925 1860775 1890625 1969275 1980825 2021789 2034375 2088625 2223375 2234325 2282665 2293907 2296875 2307361 2344375 2358125 2441901 2456223 2495625 2522625 2589895 2646875 2756985 2770563 2848125 2907025 2924075 3003125 3094575 3112725 3128055 3195731 3196875 3215625 3282125 3301375 3390625 3493875 3531675 3604711 3609375 3625853 3705625 3723875 3837273 3859779 3964125 3987375 4069835 4093705 4159375 4204375 4332405 4357815 4379277 4475625 4501875 4594975 4617605 4746875 4891425 4915515 4944345 5053125 5157625 5187875 5213425 5328125 5359375 5549775 5582325 5671875 5697769 5823125 5886125 6065367 6265875 6395455 6432965 6464647 6606875 6645625 6847995 6881721 6922083 7033125 7074375 7220675 7263025 7298795 7459375 7503125 7769685 7940625 8152375 8192525 8240575 8421875 8721075 8772225 8953637 9006151 9009375 9249625 9303875 9587193 9846375 9904125 10108945 10158731 10171875 10218313 10443125 10814133 10877559 11116875 11171625 11413325 11469535 11536805 11721875 11790625 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3172621375 3258390625 3357613875 3377306625 3393939675 3468609375 3484444733 3488953125 3561105625 3687619353 3709247619 3790854375 3809524125 3831867375 3911111435 3934050505 3997159375 4020603125 4040404375 4163441205 4187860215 4279996875 4301075625 4326301875 4415770975 4512921875 4539390625 4561746875 4700659425 4751515545 4856053125 4956477625 4985547875 5120328125 5150359375 5307196125 5333333775 5364614325 5450671875 5475556009 5482640625 5596023125 5628844375 5656566125 5828817687 5991995625 6021505875 6146032255 6182079365 6318090625 6349206875 6386445625 6580923195 6652121763 6758833125 6798474375 6939068675 6979767025 7133328125 7168459375 7210503125 7430074575 7466667285 7630940625 7675696875 7834432375 7919192575 8093421875 8380953075 8430108225 8604445157 8615578125 8654911111 8658009375 8845326875 8888889625 8941023875 9213292473 9462366375 9517864125 9714696145 9775171875 9986659375 10035843125 10453334199 10683316875 10968205325 11086869605 11264721875 11330790625 11733334305 11802151515 11991478125 12061809375 12121213125 12383457625 12444445475 12718234375 12792828125 13247312925 13538765625 13600574603 13618171875 13685240625 13968255125 14050180375 14430015625 14869432875 14956643625 15355487455 15360984375 15451078125 15770610625 15863106875 16426668027 16788069375 16886533125 16969698375 17422223665 17805528125 18438096765 18546238095 18954271875 19047620625 19159336875 19555557175 19670252525 19985796875 20103015625 20202021875 20817206025 20939301075 21399984375 21505378125 21631509375 22078854875 22808734375 23503297125 23757577725 24280265625 24391113131 24782388125 24927739375 25813335471 25964733333 26535980625 26666668875 26823071625 27377780045 27980115625 28144221875 28282830625 29144088435 29959978125 30107529375 30730161275 30910396825 31590453125 31746034375 31932228125 32904615975 33260608815 33794165625 33992371875 34695343375 34898835125 35842296875 36052515625 37150372875 37333336425 38154703125 38328892063 38378484375 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154551984125 158730171875 159661140625 164523079875 166303044075 168970828125 169961859375 173476716875 174494175625 180693348297 185751864375 186666682125 191644460315 195860809375 197979814375 204008619045 209523826875 210752705625 215111128925 216372777775 221133171875 222222240625 223525596875 230332311825 236559159375 237946603125 242867403625 250896078125 261333354975 267082921875 268302244441 274205133125 277171740125 285612066663 293333357625 295053787875 301155580495 303030328125 309586440625 311111136875 331182823125 340014365075 349206378125 351254509375 365866696965 371735821875 373916090625 383887186375 394265265625 396577671875 410666700675 419701734375 421617812693 422163328125 424242459375 435555591625 460952419125 463655952375 476020111105 476190515625 478983421875 488888929375 491756313125 520430150625 523482526875 551971371875 574933380945 587582428125 593939443125 609777828275 619559703125 623193484375 645333386775 649118333325 663399515625 666666721875 670576790625 684444501125 707070765625 728602210875 752688234375 768254031875 772759920625 804906733323 822615399375 831515220375 867383584375 872470878125 903466741485 928759321875 933333410625 958222301575 979304046875 989899071875 1020043095225 1047619134375 1053763528125 1075555644625 1081863888875 1111111203125 1117627984375 1151661559125 1182795796875 1189733015625 1214337018125 1264853438079 1306666774875 1341511222205 1371025665625 1385858700625 1428060333315 1466666788125 1475268939375 1505777902475 1547932203125 1555555684375 1655914115625 1700071825375 1746031890625 1756272546875 1829333484825 1858679109375 1869580453125 1919435931875 2053333503375 2108089063465 2121212296875 2177777958125 2304762095625 2318279761875 2380100555525 2444444646875 2458781565625 2602150753125 2617412634375 2759856859375 2874666904725 2937912140625 2951324688851 2969697215625 3048889141375 3226666933875 3245591666625 3333333609375 3352883953125 3422222505625 3643011054375 3841270159375 3863799603125 4024533666615 4113076996875 4157576101875 4336917921875 4362354390625 4517333707425 4643796609375 4666667053125 4791111507875 4949495359375 5100215476125 5238095671875 5268817640625 5377778223125 5409319444375 5758307795625 6071685090625 6324267190395 6533333874375 6707556111025 6855128328125 6929293503125 7140301666575 7333333940625 7376344696875 7528889512375 7777778421875 8279570578125 8500359126875 8853974066553 9146667424125 9597179659375 10266667516875 10540445317325 10888889790625 11523810478125 11591398809375 11900502777625 12222223234375 12293907828125 13010753765625 13087063171875 14373334523625 14756623444255 14848486078125 15244445706875 16133334669375 16227958333125 17111112528125 18215055271875 19206350796875 19318998015625 20122668333075 20565384984375 20787880509375 22586668537125 23333335265625 23955557539375 25501077380625 26888891115625 27046597221875 28791538978125 30358425453125 31621335951975 32666669371875 33537780555125 34646467515625 35701508332875 36666669703125 36881723484375 37644447561875 42501795634375 44269870332765 45733337120625 47985898296875 51333337584375 52702226586625 54444448953125 57619052390625 57956994046875 59502513888125 71866672618125 73783117221275 76222228534375 80666673346875 81139791665625 85555562640625 91075276359375 100613341665375 103939402546875 112933342685625 119777787696875 127505386903125 134444455578125 135232986109375 143957694890625 158106679759875 163333346859375 167688902775625 178507541664375 188222237809375 212508978171875 221349351663825 228666685603125 256666687921875 263511132933125 297512569440625 359333363090625 368915586106375 381111142671875 403333366734375 405698958328125 503066708326875 564666713428125 598888938484375 637526934515625 790533398799375 838444513878125 892537708321875 941111189046875 1106746758319125 1143333428015625 1317555664665625 1487562847203125 1796666815453125 1844577930531875 2515333541634375 2823333567140625 3952666993996875 4192222569390625 4462688541609375 5533733791595625 6587778323328125 9222889652659375 12576667708171875 19763334969984375 27668668957978125 46114448263296875 138343344789890625
- Sum of all divisors σ(n): 305721411600216480
- Sum of proper divisors (its aliquot sum) s(n): 167378066810325855
- 138343344789890625 is an abundant number, because the sum of its proper divisors (167378066810325855) is greater than itself. Its abundance is 29034722020435230
Bases of 138343344789890625
- Binary: 1111010110111111010001010000000110011110110100110010000012
- Hexadecimal: 0x1EB7E8A033DA641
- Base-36: 11U6MF80L6WX
Squares and roots of 138343344789890625
- 138343344789890625 squared (1383433447898906252) is 19138881047654557537427199462890625
- 138343344789890625 cubed (1383433447898906253) is 2647736819668377559100597167588124444492340087890625
-
The
square root of 138343344789890625 is 371945351.8863901935 -
The
cube root of 138343344789890625 is 517193.1416614535
Scales and comparisons
How big is 138343344789890625?- 138,343,344,789,890,625 seconds is equal to 4,398,890,440 years, 13 weeks, 2 days, 8 hours, 43 minutes, 45 seconds.
-
To count from 1 to 138,343,344,789,890,625 would take you about thirteen billion, one hundred ninety-six million, six hundred seventy-one thousand, three hundred twenty 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 138343344789890625 cubic inches would be around 43099.4 feet tall.
Recreational maths with 138343344789890625
- 138343344789890625 backwards is 526098987443343831
- The number of decimal digits it has is: 18
- The sum of 138343344789890625's digits is 87
- More coming soon!
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"Number 138343344789890625 - Facts about the integer". Numbermatics.com. 2024. Web. 10 June 2024.
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Numbermatics. (2024). Number 138343344789890625 - Facts about the integer. Retrieved 10 June 2024, from https://numbermatics.com/n/138343344789890625/
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The information we have on file for 138343344789890625 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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