138163993796983518
138,163,993,796,983,518 is an even composite number composed of five prime numbers multiplied together.
What does the number 138163993796983518 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1280 divisors.
138163993796983518 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138163993796983518:
2 × 39 × 73 × 133 × 1673
(2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 13 × 13 × 167 × 167 × 167)See below for interesting mathematical facts about the number 138163993796983518 from the Numbermatics database.
Names of 138163993796983518
- Cardinal: 138163993796983518 can be written as One hundred thirty-eight quadrillion, one hundred sixty-three trillion, nine hundred ninety-three billion, seven hundred ninety-six million, nine hundred eighty-three thousand, five hundred eighteen.
Scientific notation
- Scientific notation: 1.38163993796983518 × 1017
Factors of 138163993796983518
Divisors of 138163993796983518
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 167 169 182 189 234 243 273 294 334 338 343 351 378 441 486 501 507 546 567 637 686 702 729 819 882 1002 1014 1029 1053 1134 1169 1183 1274 1323 1458 1503 1521 1638 1701 1911 2058 2106 2171 2187 2197 2338 2366 2457 2646 3006 3042 3087 3159 3402 3507 3549 3822 3969 4342 4374 4394 4459 4509 4563 4914 5103 5733 6174 6318 6513 6561 6591 7014 7098 7371 7938 8183 8281 8918 9018 9126 9261 9477 10206 10521 10647 11466 11907 13026 13122 13182 13377 13527 13689 14742 15197 15309 15379 16366 16562 17199 18522 18954 19539 19683 19773 21042 21294 22113 23814 24549 24843 26754 27054 27378 27783 27889 28223 28431 30394 30618 30758 31563 31941 34398 35721 39078 39366 39546 40131 40581 41067 44226 45591 45927 46137 49098 49686 51597 55566 55778 56446 56862 57281 57967 58617 59319 63126 63882 66339 71442 73647 74529 80262 81162 82134 83349 83667 84669 85293 91182 91854 92274 94689 95823 103194 106379 107163 107653 114562 115934 117234 118638 120393 121743 123201 132678 136773 137781 138411 147294 149058 154791 166698 167334 169338 170586 171843 173901 175851 177957 189378 191646 195223 197561 199017 212758 214326 215306 220941 223587 240786 243486 246402 250047 251001 254007 255879 273546 275562 276822 284067 287469 309582 319137 321489 322959 343686 347802 351702 355914 361179 362557 365229 366899 369603 390446 395122 398034 410319 415233 441882 447174 464373 500094 502002 508014 511758 515529 521703 527553 533871 568134 574938 585669 592683 597051 638274 642978 645918 662823 670761 722358 725114 730458 733798 739206 744653 750141 753003 753571 762021 820638 830466 852201 862407 928746 957411 964467 968877 1031058 1043406 1055106 1067742 1083537 1087671 1095687 1100697 1108809 1171338 1185366 1194102 1230957 1245699 1325646 1341522 1366561 1382927 1393119 1489306 1500282 1506006 1507142 1524042 1546587 1565109 1582659 1601613 1704402 1724814 1757007 1778049 1791153 1914822 1928934 1937754 1988469 2012283 2167074 2175342 2191374 2201394 2217618 2233959 2250423 2259009 2260713 2286063 2461914 2491398 2537899 2556603 2568293 2587221 2733122 2765854 2786238 2872233 2906631 3093174 3130218 3165318 3203226 3250611 3263013 3287061 3302091 3326427 3514014 3556098 3582306 3692871 3737097 3976938 4024566 4099683 4148781 4179357 4467918 4500846 4518018 4521426 4572126 4639761 4657463 4695327 4713241 4747977 4804839 5075798 5113206 5136586 5174442 5271021 5334147 5744466 5813262 5965407 6036849 6501222 6526026 6574122 6604182 6652854 6701877 6751269 6777027 6782139 6858189 7385742 7474194 7613697 7669809 7704879 7761663 8199366 8297562 8358714 8616699 8719893 9279522 9314926 9390654 9426482 9495954 9565927 9609678 9680489 9751833 9789039 9906273 10542042 10668294 11078613 11211291 11930814 12073698 12299049 12446343 12538071 13403754 13502538 13554054 13564278 13716378 13919283 13972389 14085981 14139723 14243931 14414517 15227394 15339618 15409758 15523326 15813063 16002441 17233398 17439786 17765293 17896221 17978051 18110547 19131854 19360978 19503666 19578078 19812546 20105631 20331081 20346417 20574567 22157226 22422582 22841091 23009427 23114637 23284989 24598098 24892686 25076142 25850097 26159679 27838566 27944778 28171962 28279446 28487862 28697781 28829034 29041467 29255499 29367117 29718819 31626126 32004882 32602241 32992687 33235839 33633873 35530586 35792442 35956102 36221094 36897147 37339029 40211262 40662162 40692834 41149134 41757849 41917167 42257943 42419169 42731793 43243551 45682182 46018854 46229274 46569978 47439189 48007323 51700194 52319358 53295879 53688663 53934153 54331641 57395562 58082934 58510998 58734234 59437638 60316893 60547019 60993243 61039251 61272133 61723701 65204482 65985374 66471678 67267746 68523273 69343911 73794294 74678058 77550291 78479037 83515698 83834334 84515886 84838338 85463586 86093343 86487102 87124401 87766497 88101351 89156457 94878378 96014646 97806723 98978061 99707517 100901619 106591758 107377326 107868306 108663282 110691441 112017087 120633786 121094038 121986486 122078502 122544266 123447402 124357051 125273547 125751501 125846357 126773829 127257507 137046546 138687822 142317567 144021969 155100582 156958074 159887637 161065989 161802459 162994923 172186686 174248802 175532994 176202702 178312914 180950679 181641057 182979729 183117753 183816399 185171103 195613446 197956122 199415034 201803238 205569819 208031733 221382882 224034174 228215687 230948809 232650873 235437111 248714102 250547094 251503002 251692714 253547658 254515014 258280029 261373203 264304053 267469371 284635134 288043938 293420169 296934183 299122551 302704857 319775274 322131978 323604918 325989846 332074323 336051261 361901358 363282114 365959458 366235506 367632798 370342206 373071153 375820641 377254503 377539071 380321487 381772521 411139638 416063466 423829133 426952701 428904931 432065907 456431374 461897618 465301746 470874222 479662911 485407377 516560058 522746406 528608106 534938742 542852037 544923171 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1283419819206 1289288222586 1298790116442 1338876231147 1441866710466 1459134575262 1497323122407 1504169593017 1515255135849 1619874946326 1631813223222 1651355896554 1657656286182 1682177828877 1702323671139 1721412297189 1853828627742 1876030168194 1933932333879 2082696359562 2162800065699 2188701862893 2329169301522 2357063544654 2383493949954 2412038787678 2429812419489 2447719834833 2477033844831 2486484429273 2677752462294 2780742941613 2814045252291 2994646244814 3008339186034 3030510271698 3124044539343 3364355657754 3404647342278 3442824594378 3493753952283 3509729050373 3535595316981 3867864667758 4016628693441 4325600131398 4377403725786 4491969367221 4512508779051 4545765407547 4859624838978 4895439669666 4954067689662 4972968858546 5046533486631 5106971013417 5164236891567 5561485883226 5628090504582 5801797001637 6248089078686 6488400197097 6566105588679 6987507904566 7019458100746 7071190633962 7289437258467 7459453287819 8033257386882 8342228824839 8442135756873 8983938734442 9025017558102 9091530815094 9372133618029 10093066973262 10213942026834 10328473783134 10481261856849 10529187151119 10606785950943 11603594003274 12049886080323 12976800394194 13132211177358 13537526337153 14578874516934 14918906575638 15139600459893 15320913040251 15492710674701 16684457649678 16884271513746 17405391004911 18744267236058 19465200591291 19698316766037 20962523713698 21058374302238 21213571901886 21868311775401 22378359863457 24099772160646 27075052674306 28116400854087 30279200919786 30641826080502 30985421349402 31443785570547 31587561453357 31820357852829 34810782009822 36149658240969 38930401182582 39396633532074 40612579011459 43736623550802 44756719726914 45418801379679 45962739120753 52216173014733 56232801708174 58395601773873 59094950298111 62887571141094 63175122906714 63640715705658 65604935326203 67135079590371 72299316481938 81225158022918 84349202562261 90837602759358 91925478241506 94762684360071 104432346029466 108448974722907 116791203547746 118189900596222 121837737034377 131209870652406 134270159180742 136256404139037 137888217362259 156648519044199 168698405124522 189525368720142 196814805978609 201405238771113 216897949445814 243675474068754 253047607686783 272512808278074 275776434724518 284288053080213 313297038088398 365513211103131 393629611957218 402810477542226 408769212417111 413664652086777 469945557132597 506095215373566 568576106160426 590444417935827 731026422206262 759142823060349 817538424834222 827329304173554 852864159240639 939891114265194 1096539633309393 1180888835871654 1409836671397791 1518285646120698 1705728318481278 1771333253807481 2193079266618786 2558592477721917 2819673342795582 3289618899928179 3542666507614962 5117184955443834 5313999761422443 6579237799856358 7675777433165751 9868856699784537 10627999522844886 15351554866331502 19737713399569074 23027332299497253 46054664598994506 69081996898491759 138163993796983518
- Sum of all divisors σ(n): 395085595322880000
- Sum of proper divisors (its aliquot sum) s(n): 256921601525896482
- 138163993796983518 is an abundant number, because the sum of its proper divisors (256921601525896482) is greater than itself. Its abundance is 118757607728912964
Bases of 138163993796983518
- Binary: 1111010101101101101101011100110110000010010111010110111102
- Hexadecimal: 0x1EADB6B9B04BADE
- Base-36: 11SF1QII47VI
Squares and roots of 138163993796983518
- 138163993796983518 squared (1381639937969835182) is 19089289181932900039317475963656324
- 138163993796983518 cubed (1381639937969835183) is 2637452432121401775838184187097860915936989244467832
-
The
square root of 138163993796983518 is 371704175.1137368085 -
The
cube root of 138163993796983518 is 516969.5452718145
Scales and comparisons
How big is 138163993796983518?- 138,163,993,796,983,518 seconds is equal to 4,393,187,633 years, 23 weeks, 3 days, 4 hours, 45 minutes, 18 seconds.
-
To count from 1 to 138,163,993,796,983,518 would take you about thirteen billion, one hundred seventy-nine million, five hundred sixty-two thousand, nine hundred 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 138163993796983518 cubic inches would be around 43080.8 feet tall.
Recreational maths with 138163993796983518
- 138163993796983518 backwards is 815389697399361831
- The number of decimal digits it has is: 18
- The sum of 138163993796983518's digits is 99
- More coming soon!
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"Number 138163993796983518 - Facts about the integer". Numbermatics.com. 2024. Web. 29 May 2024.
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Numbermatics. (2024). Number 138163993796983518 - Facts about the integer. Retrieved 29 May 2024, from https://numbermatics.com/n/138163993796983518/
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The information we have on file for 138163993796983518 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!
Keywords: Divisors of 138163993796983518, math, Factors of 138163993796983518, curriculum, school, college, exams, university, Prime factorization of 138163993796983518, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, one hundred sixty-three trillion, nine hundred ninety-three billion, seven hundred ninety-six million, nine hundred eighty-three thousand, five hundred eighteen.