138445948410508800
138,445,948,410,508,800 is an even composite number composed of five prime numbers multiplied together.
138445948410508800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred twenty divisors.
Prime factorization of 138445948410508800:
29 × 32 × 52 × 412 × 595
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 41 × 41 × 59 × 59 × 59 × 59 × 59)See below for interesting mathematical facts about the number 138445948410508800 from the Numbermatics database.
Names of 138445948410508800
- Cardinal: 138445948410508800 can be written as One hundred thirty-eight quadrillion, four hundred forty-five trillion, nine hundred forty-eight billion, four hundred ten million, five hundred eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.384459484105088 × 1017
Factors of 138445948410508800
Divisors of 138445948410508800
- Number of divisors d(n): 1620
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 41 45 48 50 59 60 64 72 75 80 82 90 96 100 118 120 123 128 144 150 160 164 177 180 192 200 205 225 236 240 246 256 288 295 300 320 328 354 360 369 384 400 410 450 472 480 492 512 531 576 590 600 615 640 656 708 720 738 768 800 820 885 900 944 960 984 1025 1062 1152 1180 1200 1230 1280 1312 1416 1440 1475 1476 1536 1600 1640 1681 1770 1800 1845 1888 1920 1968 2050 2124 2304 2360 2400 2419 2460 2560 2624 2655 2832 2880 2950 2952 3075 3200 3280 3362 3481 3540 3600 3690 3776 3840 3936 4100 4248 4425 4608 4720 4800 4838 4920 5043 5248 5310 5664 5760 5900 5904 6150 6400 6560 6724 6962 7080 7200 7257 7380 7552 7680 7872 8200 8405 8496 8850 9225 9440 9600 9676 9840 10086 10443 10496 10620 11328 11520 11800 11808 12095 12300 12800 13120 13275 13448 13924 14160 14400 14514 14760 15104 15129 15744 16400 16810 16992 17405 17700 18450 18880 19200 19352 19680 20172 20886 20992 21240 21771 22656 23040 23600 23616 24190 24600 25215 26240 26550 26896 27848 28320 28800 29028 29520 30208 30258 31329 31488 32800 33620 33984 34810 35400 36285 36900 37760 38400 38704 39360 40344 41772 42025 42480 43542 45312 47200 47232 48380 49200 50430 52215 52480 53100 53792 55696 56640 57600 58056 59040 60475 60516 62658 62976 65600 67240 67968 69620 70800 72570 73800 75520 75645 77408 78720 80688 83544 84050 84960 87025 87084 90624 94400 94464 96760 98400 99179 100860 104430 104960 106200 107584 108855 111392 113280 115200 116112 118080 120950 121032 125316 126075 131200 134480 135936 139240 141600 142721 145140 147600 151040 151290 154816 156645 157440 161376 167088 168100 169920 174050 174168 181425 188800 188928 193520 196800 198358 201720 205379 208860 212400 215168 217710 222784 226560 232224 236160 241900 242064 250632 252150 261075 262400 268960 271872 278480 283200 285442 290280 295200 297537 302580 309632 313290 314880 322752 334176 336200 339840 348100 348336 362850 377600 378225 387040 393600 396716 403440 410758 417720 424800 428163 430336 435420 445568 453120 464448 472320 483800 484128 495895 501264 504300 522150 524800 537920 544275 556960 566400 570884 580560 590400 595074 605160 616137 619264 626580 645504 668352 672400 679680 696200 696672 713605 725700 755200 756450 774080 783225 787200 793432 806880 821516 835440 849600 856326 860672 870840 891136 892611 928896 944640 967600 968256 991790 1002528 1008600 1026895 1044300 1075840 1088550 1113920 1132800 1141768 1161120 1180800 1190148 1210320 1232274 1238528 1253160 1284489 1291008 1336704 1344800 1359360 1392400 1393344 1427210 1451400 1487685 1512900 1548160 1566450 1574400 1586864 1613760 1643032 1670880 1699200 1712652 1741680 1782272 1785222 1848411 1857792 1935200 1936512 1983580 2005056 2017200 2053790 2088600 2140815 2151680 2177100 2227840 2265600 2283536 2322240 2361600 2380296 2420640 2464548 2479475 2506320 2568978 2582016 2673408 2689600 2784800 2786688 2854420 2902800 2975370 3025800 3080685 3096320 3132900 3173728 3227520 3286064 3341760 3398400 3425304 3483360 3568025 3570444 3696822 3715584 3870400 3873024 3967160 4010112 4034400 4107580 4177200 4281630 4303360 4354200 4455680 4463055 4567072 4644480 4723200 4760592 4841280 4929096 4958950 5012640 5134475 5137956 5346816 5379200 5569600 5573376 5708840 5805600 5851561 5950740 6051600 6161370 6192640 6265800 6347456 6422445 6455040 6572128 6683520 6796800 6850608 6966720 7136050 7140888 7393644 7438425 7740800 7746048 7934320 8020224 8068800 8215160 8354400 8420539 8563260 8708400 8911360 8926110 9134144 9242055 9288960 9521184 9682560 9858192 9917900 10025280 10268950 10275912 10704075 10758400 11139200 11146752 11417680 11611200 11703122 11901480 12103200 12117361 12322740 12531600 12694912 12844890 12910080 13144256 13367040 13701216 13933440 14272100 14281776 14787288 14876850 15403425 15481600 15868640 16040448 16137600 16430320 16708800 16841078 17126520 17416800 17554683 17852220 18268288 18484110 18577920 19042368 19365120 19716384 19835800 20050560 20537900 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29081666400 29311896259 29808708060 30313940400 31020444160 31071788910 31795955264 32171593455 32334869760 33143241504 33704991360 34316366352 34524209900 34897999680 35746214950 35770449672 37260885075 37449990400 38775555200 38801843712 39744944080 40418587200 40738567682 41429051880 42131239200 42895457940 43622499600 44190988672 44713062090 44939988480 45755155136 46530666240 47693932896 48502304640 49681180100 49714862256 51474549528 51786314850 53619322425 53891449600 55238735840 55836799488 56174985600 57193943920 58163332800 58623792518 59617416120 60627880800 61107851523 62143577820 63591910528 64343186910 64669739520 66286483008 67409982720 68632732704 69048419800 69795999360 71492429900 71540899344 74521770150 74899980800 77551110400 77679472275 79489888160 80837174400 81477135364 82858103760 84262478400 85790915880 87244999200 87935688777 88381977344 89426124180 91510310272 93061332480 95387865792 97004609280 99362360200 99429724512 101846419205 102949099056 103572629700 107238644850 107782899200 110477471680 111782655225 112349971200 114387887840 116326665600 117247585036 119234832240 121255761600 122215703046 124287155640 127183821056 128686373820 132572966016 134819965440 137265465408 138096839600 139591998720 142984859800 143081798688 146559481295 149043540300 155102220800 155358944550 158979776320 160857967275 161674348800 162954270728 165716207520 168524956800 171581831760 174489998400 175871377554 176763954688 178852248360 183020620544 183323554569 190775731584 194009218560 198724720400 198859449024 203692838410 205898198112 207145259400 214477289700 220954943360 223565310450 224699942400 228775775680 232653331200 234495170072 238469664480 242511523200 244431406092 248574311280 254367642112 257372747640 263807066331 265145932032 274530930816 276193679200 279183997440 285969719600 286163597376 293118962590 298087080600 305539257615 310717889100 317959552640 321715934550 323348697600 325908541456 331432415040 337049913600 343163663520 348979996800 351742755108 357704496720 366041241088 366647109138 381551463168 397449440800 397718898048 407385676820 411796396224 414290518800 428954579400 439678443885 441909886720 447130620900 457551551360 465306662400 468990340144 476939328960 485023046400 488862812184 497148622560 509232096025 514745495280 527614132662 530291864064 549061861632 552387358400 571939439200 572327194752 586237925180 596174161200 611078515230 621435778200 635919105280 643431869100 651817082912 662864830080 674099827200 686327327040 697959993600 703485510216 715408993440 732797406475 733294218276 763102926336 794898881600 795437796096 814771353640 823592792448 828581037600 857909158800 879356887770 883819773440 894261241800 915103102720 916617772845 937980680288 953878657920 970046092800 977725624368 994297245120 1018464192050 1029490990560 1055228265324 1098123723264 1104774716800 1143878878400 1144654389504 1172475850360 1192348322400 1201787746619 1222157030460 1242871556400 1271838210560 1286863738200 1303634165824 1319035331655 1325729660160 1372654654080 1395919987200 1406971020432 1430817986880 1465594812950 1466588436552 1527696288075 1589797763200 1590875592192 1629542707280 1647185584896 1657162075200 1715818317600 1758713775540 1788522483600 1830206205440 1833235545690 1875961360576 1907757315840 1955451248736 1988594490240 2036928384100 2058981981120 2110456530648 2198392219425 2209549433600 2287757756800 2289308779008 2344951700720 2384696644800 2403575493238 2444314060920 2485743112800 2573727476400 2607268331648 2638070663310 2651459320320 2745309308160 2813942040864 2861635973760 2931189625900 2933176873104 3055392576150 3179595526400 3259085414560 3294371169792 3314324150400 3431636635200 3517427551080 3577044967200 3605363239857 3666471091380 3751922721152 3815514631680 3910902497472 3977188980480 4073856768200 4117963962240 4220913061296 4396784438850 4419098867200 4575515513600 4583088864225 4689903401440 4769393289600 4807150986476 4888628121840 4971486225600 5147454952800 5214536663296 5276141326620 5490618616320 5627884081728 5723271947520 5862379251800 5866353746208 6008938733095 6110785152300 6359191052800 6518170829120 6595176658275 6628648300800 6863273270400 7034855102160 7154089934400 7210726479714 7332942182760 7503845442304 7821804994944 7954377960960 8147713536400 8235927924480 8441826122592 8793568877700 9151031027200 9166177728450 9379806802880 9538786579200 9614301972952 9777256243680 9942972451200 10294909905600 10429073326592 10552282653240 10816089719571 11255768163456 11446543895040 11724758503600 11732707492416 12017877466190 12221570304600 13036341658240 13190353316550 13257296601600 13726546540800 14069710204320 14308179868800 14421452959428 14665884365520 15007690884608 15643609989888 16295427072800 16471855848960 16883652245184 17587137755400 18026816199285 18332355456900 18759613605760 19077573158400 19228603945904 19554512487360 19885944902400 20589819811200 21104565306480 21632179439142 22511536326912 23449517007200 23465414984832 24035754932380 24443140609200 26072683316480 26380706633100 27453093081600 28139420408640 28616359737600 28842905918856 29331768731040 30044693665475 31287219979776 32590854145600 33767304490368 35174275510800 36053632398570 36664710913800 37519227211520 38457207891808 39109024974720 39771889804800 41179639622400 42209130612960 43264358878284 45023072653824 46899034014400 46930829969664 48071509864760 48886281218400 52145366632960 52761413266200 54080448597855 56278840817280 57232719475200 57685811837712 58663537462080 60089387330950 65181708291200 67534608980736 70348551021600 72107264797140 73329421827600 75038454423040 76914415783616 78218049949440 82359279244800 84418261225920 86528717756568 90134080996425 93798068028800 93861659939328 96143019729520 97772562436800 105522826532400 108160897195710 112557681634560 115371623675424 117327074924160 120178774661900 130363416582400 135069217961472 140697102043200 144214529594280 146658843655200 153828831567232 156436099898880 168836522451840 173057435513136 180268161992850 187596136057600 192286039459040 195545124873600 211045653064800 216321794391420 225115363269120 230743247350848 234654149848320 240357549323800 260726833164800 270402242989275 281394204086400 288429059188560 293317687310400 307657663134464 337673044903680 346114871026272 360536323985700 375192272115200 384572078918080 391090249747200 422091306129600 432643588782840 461486494701696 469308299696640 480715098647600 540804485978550 562788408172800 576858118377120 586635374620800 615315326268928 675346089807360 692229742052544 721072647971400 769144157836160 782180499494400 844182612259200 865287177565680 922972989403392 961430197295200 1081608971957100 1125576816345600 1153716236754240 1173270749241600 1384459484105088 1442145295942800 1538288315672320 1688365224518400 1730574355131360 1845945978806784 1922860394590400 2163217943914200 2307432473508480 2346541498483200 2768918968210176 2884290591885600 3076576631344640 3376730449036800 3461148710262720 3845720789180800 4326435887828400 4614864947016960 5537837936420352 5768581183771200 6922297420525440 7691441578361600 8652871775656800 9229729894033920 11537162367542400 13844594841050880 15382883156723200 17305743551313600 23074324735084800 27689189682101760 34611487102627200 46148649470169600 69222974205254400 138445948410508800
- Sum of all divisors σ(n): 516594803917652460
- Sum of proper divisors (its aliquot sum) s(n): 378148855507143660
- 138445948410508800 is an abundant number, because the sum of its proper divisors (378148855507143660) is greater than itself. Its abundance is 239702907096634860
Bases of 138445948410508800
- Binary: 1111010111101101111011011010001111001100110110110000000002
- Hexadecimal: 0x1EBDBDB4799B600
- Base-36: 11V6ZQOB5OG0
Squares and roots of 138445948410508800
- 138445948410508800 squared (1384459484105088002) is 19167280631285264125202274877440000
- 138445948410508800 cubed (1384459484105088003) is 2653632345448664221456175870883600230328041472000000
-
The
square root of 138445948410508800 is 372083254.6763006371 -
The
cube root of 138445948410508800 is 517320.9704231503
Scales and comparisons
How big is 138445948410508800?- 138,445,948,410,508,800 seconds is equal to 4,402,152,918 years, 6 days, 16 hours.
-
To count from 1 to 138,445,948,410,508,800 would take you about thirteen billion, two hundred six million, four hundred fifty-eight thousand, seven hundred fifty-four 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 138445948410508800 cubic inches would be around 43110.1 feet tall.
Recreational maths with 138445948410508800
- 138445948410508800 backwards is 008805014849544831
- 138445948410508800 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138445948410508800's digits is 72
- More coming soon!
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"Number 138445948410508800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
APA style:
Numbermatics. (2024). Number 138445948410508800 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138445948410508800/
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Numbermatics. 2024. "Number 138445948410508800 - Facts about the integer". https://numbermatics.com/n/138445948410508800/
The information we have on file for 138445948410508800 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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