138393990859464704
138,393,990,859,464,704 is an even composite number composed of five prime numbers multiplied together.
What does the number 138393990859464704 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1176 divisors.
138393990859464704 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred seventy-six divisors.
Prime factorization of 138393990859464704:
213 × 7 × 136 × 31 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 13 × 13 × 13 × 13 × 13 × 31 × 127 × 127)See below for interesting mathematical facts about the number 138393990859464704 from the Numbermatics database.
Names of 138393990859464704
- Cardinal: 138393990859464704 can be written as One hundred thirty-eight quadrillion, three hundred ninety-three trillion, nine hundred ninety billion, eight hundred fifty-nine million, four hundred sixty-four thousand, seven hundred four.
Scientific notation
- Scientific notation: 1.38393990859464704 × 1017
Factors of 138393990859464704
Divisors of 138393990859464704
- Number of divisors d(n): 1176
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 31 32 52 56 62 64 91 104 112 124 127 128 169 182 208 217 224 248 254 256 338 364 403 416 434 448 496 508 512 676 728 806 832 868 889 896 992 1016 1024 1183 1352 1456 1612 1651 1664 1736 1778 1792 1984 2032 2048 2197 2366 2704 2821 2912 3224 3302 3328 3472 3556 3584 3937 3968 4064 4096 4394 4732 5239 5408 5642 5824 6448 6604 6656 6944 7112 7168 7874 7936 8128 8192 8788 9464 10478 10816 11284 11557 11648 12896 13208 13312 13888 14224 14336 15379 15748 15872 16129 16256 17576 18928 20956 21463 21632 22568 23114 23296 25792 26416 26624 27559 27776 28448 28561 28672 30758 31496 31744 32258 32512 35152 36673 37856 41912 42926 43264 45136 46228 46592 51181 51584 52832 53248 55118 55552 56896 57122 57344 61516 62992 63488 64516 65024 68107 70304 73346 75712 83824 85852 86528 90272 92456 93184 102362 103168 105664 106496 110236 111104 112903 113792 114244 123032 125984 126976 129032 130048 136214 140608 146692 150241 151424 167648 171704 173056 180544 184912 186368 199927 204724 206336 209677 211328 220472 222208 225806 227584 228488 246064 251968 253952 258064 260096 272428 279019 281216 293384 300482 302848 335296 343408 346112 358267 361088 369824 371293 372736 399854 409448 412672 419354 422656 440944 444416 451612 455168 456976 476749 492128 499999 503936 516128 520192 544856 558038 562432 586768 600964 605696 665353 670592 686816 692224 716534 722176 739648 742586 745472 799708 818896 825344 838708 845312 881888 885391 888832 903224 910336 913952 953498 984256 999998 1007872 1032256 1040384 1089712 1116076 1124864 1173536 1201928 1211392 1330706 1341184 1373632 1384448 1433068 1444352 1467739 1479296 1485172 1599416 1637792 1650688 1677416 1690624 1763776 1770782 1777664 1806448 1820672 1827904 1906996 1953133 1968512 1999996 2015744 2064512 2179424 2232152 2249728 2347072 2403856 2422784 2599051 2661412 2682368 2725801 2747264 2866136 2888704 2935478 2958592 2970344 3198832 3275584 3301376 3354832 3381248 3499993 3527552 3541564 3612896 3627247 3641344 3655808 3813992 3906266 3937024 3999992 4031488 4129024 4358848 4464304 4499456 4657471 4694144 4807712 4826809 4845568 5198102 5322824 5364736 5451602 5494528 5732272 5777408 5870956 5917184 5940688 6197737 6397664 6499987 6551168 6709664 6762496 6999986 7055104 7083128 7225792 7254494 7282688 7311616 7627984 7812532 7874048 7999984 8062976 8258048 8649589 8717696 8928608 8998912 9314942 9388288 9615424 9653618 9691136 10396204 10645648 10729472 10903204 10989056 11464544 11510083 11554816 11741912 11834368 11881376 12395474 12795328 12999974 13102336 13419328 13524992 13999972 14110208 14166256 14451584 14508988 14623232 15255968 15625064 15748096 15999968 16125952 16516096 17299178 17435392 17857216 17997824 18629884 18776576 19080607 19230848 19307236 20792408 21291296 21458944 21806408 21978112 22929088 23020166 23109632 23483824 23668736 23762752 24790948 25390729 25590656 25999948 26204672 26838656 27999944 28220416 28332512 28903168 29017976 29246464 30511936 31250128 31496192 31999936 32251904 33032192 33787663 34598356 34870784 35435413 35714432 37259768 37553152 38161214 38461696 38614472 41584816 42582592 42917888 43612816 43956224 45499909 45858176 46040332 46967648 47154211 47337472 47525504 49581896 50781458 51181312 51999896 52409344 53677312 55999888 56440832 56665024 57806336 58035952 58492928 60547123 61023872 62500256 62992384 63999872 66064384 67575326 69196712 69741568 70870826 71428864 74519536 75106304 76322428 76923392 77228944 80570581 83169632 84499831 85165184 87225632 87912448 90999818 91716352 92080664 93935296 94308422 94674944 95051008 99163792 101562916 102362624 103999792 104818688 107354624 111999776 112444657 112881664 113330048 115612672 116071904 116985856 121094246 122047744 125000512 125984768 127999744 132128768 135150652 138393424 139483136 141741652 142857728 149039072 149631079 150212608 152644856 153846784 154457888 161141162 166339264 168999662 170330368 174451264 175824896 181999636 183432704 184161328 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4769250304 4788194528 4884635392 4904037944 4942652416 5156517184 5281271632 5322856448 5407989184 5450571776 5582440448 5823988352 5847122164 5893162496 5988584797 6011858944 6035739008 6296900792 6346482688 6449245166 6500026624 6655986688 7167985664 7196458048 7253123072 7370565904 7428601856 7689484621 7750031744 7937532512 8000032768 8379340424 8582066402 8649641728 8787982424 8857179136 9071465728 9463981072 9538500608 9576389056 9769270784 9808075888 9885304832 10232463787 10313034368 10562543264 10645712896 10815978368 11164880896 11647976704 11694244328 11786324992 11977169594 12023717888 12071478016 12593801584 12692965376 12898490332 13000053248 13311973376 14280471439 14335971328 14392916096 14741131808 14857203712 15378969242 15500063488 15875065024 16000065536 16758680848 17164132804 17299283456 17575964848 17714358272 18142931456 18927962144 19003147033 19077001216 19152778112 19538541568 19616151776 19770609664 20464927574 20626068736 21125086528 21291425792 21631956736 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123031753936 124000507904 127000520192 133022029231 134069446784 137313062432 138394267648 140607718784 145143451648 151423697152 152025176264 153222224896 155703204722 156308332544 156929214208 163719420592 165008549888 167680374316 169000692224 173055653888 185646128707 186367627264 187107909248 191634713504 193143648256 199926600146 201500825344 206375845312 208000851968 228487543024 230286657536 235858108928 246063507872 248001015808 254001040384 266044058462 268138893568 274626124864 276788535296 281215437568 290286903296 302847394304 304050352528 306444449792 311406409444 313858428416 327438841184 330017099776 335360748632 338001384448 346111307776 371292257414 372735254528 374215818496 383269427008 386287296512 399853200292 403001650688 412751690624 456975086048 460573315072 471716217856 492127015744 496002031616 508002080768 532088116924 536277787136 544961216527 549252249728 562430875136 605694788608 608100705056 612888899584 622812818888 627716856832 654877682368 660034199552 670721497264 676002768896 692222615552 742584514828 748431636992 766538854016 799706400584 806003301376 825503381248 913950172096 921146630144 943432435712 984254031488 1016004161536 1064176233848 1072555574272 1089922433054 1098504499456 1124861750272 1211389577216 1216201410112 1225777799168 1245625637776 1255433713664 1299522900949 1309755364736 1341442994528 1352005537792 1485169029656 1496863273984 1533077708032 1599412801168 1612006602752 1651006762496 1827900344192 1886864871424 1968508062976 2032008323072 2128352467696 2145111148544 2179844866108 2197008998912 2249723500544 2413399673191 2422779154432 2432402820224 2491251275552 2510867427328 2599045801898 2619510729472 2682885989056 2704011075584 2970338059312 2993726547968 3066155416064 3198825602336 3224013205504 3302013524992 3655800688384 3773729742848 3937016125952 4256704935392 4290222297088 4359689732216 4394017997824 4499447001088 4826799346382 4845558308864 4864805640448 4982502551104 5021734854656 5198091603796 5239021458944 5365771978112 5940676118624 5987453095936 6132310832128 6397651204672 6448026411008 6604027049984 7311601376768 7874032251904 8513409870784 8580444594176 8719379464432 8788035995648 8998894002176 9653598692764 9729611280896 9965005102208 10396183207592 10478042917888 10731543956224 11881352237248 11974906191872 12264621664256 12795302409344 13208054099968 14623202753536 15748064503808 16893797712337 17026819741568 17438758928864 17576071991296 19307197385528 19459222561792 19930010204416 20792366415184 20956085835776 21463087912448 23762704474496 24529243328512 25590604818688 26416108199936 29246405507072 31496129007616 33787595424674 34053639483136 34877517857728 35152143982592 38614394771056 38918445123584 39860020408832 41584732830368 41912171671552 42926175824896 47525408948992 49058486657024 51181209637376 58492811014144 62992258015232 67575190849348 68107278966272 69755035715456 77228789542112 77836890247168 79720040817664 83169465660736 83824343343104 85852351649792 95050817897984 102362419274752 116985622028288 135150381698696 136214557932544 139510071430912 154457579084224 155673780494336 159440081635328 166338931321472 171704703299584 190101635795968 204724838549504 270300763397392 272429115865088 279020142861824 308915158168448 318880163270656 332677862642944 343409406599168 380203271591936 409449677099008 540601526794784 544858231730176 558040285723648 617830316336896 637760326541312 665355725285888 760406543183872 818899354198016 1081203053589568 1089716463460352 1116080571447296 1235660632673792 1330711450571776 1520813086367744 2162406107179136 2232161142894592 2471321265347584 2661422901143552 4324812214358272 4464322285789184 4942642530695168 5322845802287104 8649624428716544 9885285061390336 10645691604574208 17299248857433088 19770570122780672 34598497714866176 69196995429732352 138393990859464704
- Sum of all divisors σ(n): 356529947712392448
- Sum of proper divisors (its aliquot sum) s(n): 218135956852927744
- 138393990859464704 is an abundant number, because the sum of its proper divisors (218135956852927744) is greater than itself. Its abundance is 79741965993463040
Bases of 138393990859464704
- Binary: 1111010111010110010011001111110000011101000100000000000002
- Hexadecimal: 0x1EBAC99F83A2000
- Base-36: 11UOKPPERQBK
Squares and roots of 138393990859464704
- 138393990859464704 squared (1383939908594647042) is 19152896706009600040137497421807616
- 138393990859464704 cubed (1383939908594647043) is 2650645811663764226031904336473831331562485830385664
-
The
square root of 138393990859464704 is 372013428.3321836005 -
The
cube root of 138393990859464704 is 517256.2469836963
Scales and comparisons
How big is 138393990859464704?- 138,393,990,859,464,704 seconds is equal to 4,400,500,828 years, 31 weeks, 5 days, 4 hours, 11 minutes, 44 seconds.
-
To count from 1 to 138,393,990,859,464,704 would take you about thirteen billion, two hundred one million, five hundred two thousand, four hundred eighty-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 138393990859464704 cubic inches would be around 43104.7 feet tall.
Recreational maths with 138393990859464704
- 138393990859464704 backwards is 407464958099393831
- The number of decimal digits it has is: 18
- The sum of 138393990859464704's digits is 92
- More coming soon!
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"Number 138393990859464704 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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The information we have on file for 138393990859464704 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 138393990859464704, math, Factors of 138393990859464704, curriculum, school, college, exams, university, Prime factorization of 138393990859464704, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight quadrillion, three hundred ninety-three trillion, nine hundred ninety billion, eight hundred fifty-nine million, four hundred sixty-four thousand, seven hundred four.