13821150134439954432
13,821,150,134,439,954,432 is an even composite number composed of six prime numbers multiplied together.
13821150134439954432 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 13821150134439954432:
211 × 33 × 7 × 19 × 223 × 8427406913
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 19 × 223 × 8427406913)See below for interesting mathematical facts about the number 13821150134439954432 from the Numbermatics database.
Names of 13821150134439954432
- Cardinal: 13821150134439954432 can be written as Thirteen quintillion, eight hundred twenty-one quadrillion, one hundred fifty trillion, one hundred thirty-four billion, four hundred thirty-nine million, nine hundred fifty-four thousand, four hundred thirty-two.
Scientific notation
- Scientific notation: 1.3821150134439954432 × 1019
Factors of 13821150134439954432
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 8427407167
Divisors of 13821150134439954432
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 32 36 38 42 48 54 56 57 63 64 72 76 84 96 108 112 114 126 128 133 144 152 168 171 189 192 216 223 224 228 252 256 266 288 304 336 342 378 384 399 432 446 448 456 504 512 513 532 576 608 669 672 684 756 768 798 864 892 896 912 1008 1024 1026 1064 1152 1197 1216 1338 1344 1368 1512 1536 1561 1596 1728 1784 1792 1824 2007 2016 2048 2052 2128 2304 2394 2432 2676 2688 2736 3024 3072 3122 3192 3456 3568 3584 3591 3648 4014 4032 4104 4237 4256 4608 4683 4788 4864 5352 5376 5472 6021 6048 6144 6244 6384 6912 7136 7168 7182 7296 8028 8064 8208 8474 8512 9216 9366 9576 9728 10704 10752 10944 12042 12096 12488 12711 12768 13824 14049 14272 14336 14364 14592 16056 16128 16416 16948 17024 18432 18732 19152 19456 21408 21504 21888 24084 24192 24976 25422 25536 27648 28098 28544 28728 29184 29659 32112 32256 32832 33896 34048 37464 38133 38304 38912 42147 42816 43008 43776 48168 48384 49952 50844 51072 55296 56196 57088 57456 58368 59318 64224 64512 65664 67792 68096 74928 76266 76608 84294 85632 87552 88977 96336 96768 99904 101688 102144 112392 114176 114399 114912 116736 118636 128448 129024 131328 135584 136192 149856 152532 153216 168588 171264 175104 177954 192672 193536 199808 203376 204288 224784 228352 228798 229824 237272 256896 262656 266931 271168 272384 299712 305064 306432 337176 342528 350208 355908 385344 387072 399616 406752 408576 449568 456704 457596 459648 474544 513792 525312 533862 542336 599424 610128 612864 674352 685056 711816 770688 799232 800793 813504 817152 899136 915192 919296 949088 1027584 1050624 1067724 1084672 1198848 1220256 1225728 1348704 1370112 1423632 1541376 1598464 1601586 1627008 1798272 1830384 1838592 1898176 2055168 2135448 2169344 2397696 2440512 2451456 2697408 2847264 3082752 3196928 3203172 3254016 3596544 3660768 3677184 3796352 4110336 4270896 4338688 4795392 4881024 5394816 5694528 6165504 6406344 6508032 7193088 7321536 7354368 7592704 8541792 8677376 9590784 9762048 10789632 11389056 12331008 12812688 13016064 14386176 14643072 15185408 17083584 19524096 21579264 22778112 25625376 26032128 28772352 29286144 30370816 34167168 39048192 43158528 45556224 51250752 58572288 60741632 68334336 78096384 86317056 91112448 102501504 117144576 136668672 182224896 205003008 234289152 273337344 410006016 546674688 820012032 1640024064 8427406913 16854813826 25282220739 33709627652 50564441478 58991848391 67419255304 75846662217 101128882956 117983696782 134838510608 151693324434 160120731347 176975545173 202257765912 227539986651 235967393564 269677021216 303386648868 320241462694 353951090346 404515531824 455079973302 471934787128 480362194041 530926635519 539354042432 606773297736 640482925388 707902180692 809031063648 910159946604 943869574256 960724388082 1061853271038 1078708084864 1120845119429 1213546595472 1280965850776 1415804361384 1441086582123 1592779906557 1618062127296 1820319893208 1879311741599 1887739148512 1921448776164 2123706542076 2157416169728 2241690238858 2427093190944 2561931701552 2831608722768 2882173164246 3185559813114 3236124254592 3362535358287 3640639786416 3758623483198 3775478297024 3842897552328 4247413084152 4314832339456 4323259746369 4483380477716 4854186381888 5123863403104 5637935224797 5663217445536 5764346328492 6371119626228 6472248509184 6725070716574 7281279572832 7517246966396 7550956594048 7685795104656 8494826168304 8629664678912 8646519492738 8966760955432 9708372763776 10087606074861 10247726806208 11275870449594 11326434891072 11528692656984 12742239252456 12944497018368 13155182191193 13450141433148 14562559145664 15034493932792 15101913188096 15371590209312 16913805674391 16989652336608 17259329357824 17293038985476 17933521910864 19416745527552 20175212149722 20495453612416 22551740899188 22652869782144 23057385313968 25484478504912 25888994036736 26310364382386 26900282866296 29125118291328 30068987865584 30203826376192 30262818224583 30743180418624 33827611348782 33979304673216 34586077970952 35706923090381 35867043821728 38833491055104 39465546573579 40350424299444 40990907224832 45103481798376 45305739564288 46114770627936 50741417023173 50968957009824 51777988073472 52620728764772 53800565732592 58250236582656 60137975731168 60407652752384 60525636449166 61486360837248 67655222697564 67958609346432 69172155941904 71413846180762 71734087643456 77666982110208 78931093147158 80700848598888 81981814449664 90206963596752 90611479128576 92229541255872 101482834046346 101937914019648 105241457529544 107120769271143 107601131465184 116500473165312 118396639720737 120275951462336 120815305504768 121051272898332 122972721674496 135310445395128 135917218692864 138344311883808 142827692361524 143468175286912 155333964220416 157862186294316 161401697197776 163963628899328 180413927193504 181222958257152 184459082511744 202965668092692 203875828039296 210482915059088 214241538542286 215202262930368 233000946330624 236793279441474 240551902924672 242102545796664 245945443348992 249948461632667 270620890790256 271834437385728 276688623767616 285655384723048 286936350573824 315724372588632 321362307813429 322803394395552 327927257798656 355189919162211 360827854387008 362445916514304 368918165023488 405931336185384 407751656078592 420965830118176 428483077084572 430404525860736 466001892661248 473586558882948 481103805849344 484205091593328 491890886697984 499896923265334 541241781580512 543668874771456 553377247535232 571310769446096 573872701147648 631448745177264 642724615626858 645606788791104 710379838324422 721655708774016 737836330046976 749845384898001 811862672370768 815503312157184 841931660236352 856966154169144 860809051721472 947173117765896 962207611698688 964086923440287 968410183186656 983781773395968 999793846530668 1082483563161024 1087337749542912 1106754495070464 1142621538892192 1147745402295296 1262897490354528 1285449231253716 1291213577582208 1420759676648844 1443311417548032 1475672660093952 1499690769796002 1623725344741536 1631006624314368 1683863320472704 1713932308338288 1721618103442944 1894346235531792 1924415223397376 1928173846880574 1936820366373312 1999587693061336 2164967126322048 2213508990140928 2249536154694003 2285243077784384 2295490804590592 2525794980709056 2570898462507432 2582427155164416 2841519353297688 2886622835096064 2951345320187904 2999381539592004 3247450689483072 3262013248628736 3367726640945408 3427864616676576 3443236206885888 3788692471063584 3848830446794752 3856347693761148 3873640732746624 3999175386122672 4329934252644096 4427017980281856 4499072309388006 4570486155568768 5051589961418112 5141796925014864 5164854310328832 5683038706595376 5773245670192128 5998763079184008 6494901378966144 6735453281890816 6748608464082009 6855729233353152 6886472413771776 7577384942127168 7712695387522296 7747281465493248 7998350772245344 8659868505288192 8854035960563712 8998144618776012 9140972311137536 10103179922836224 10283593850029728 10329708620657664 11366077413190752 11546491340384256 11997526158368016 12989802757932288 13470906563781632 13497216928164018 13711458466706304 15154769884254336 15425390775044592 15494562930986496 15996701544490688 17319737010576384 17996289237552024 18281944622275072 20206359845672448 20567187700059456 20659417241315328 22732154826381504 23995052316736032 25979605515864576 26941813127563264 26994433856328036 27422916933412608 30309539768508672 30850781550089184 30989125861972992 31993403088981376 34639474021152768 35992578475104048 36563889244550144 40412719691344896 41134375400118912 45464309652763008 47990104633472064 51959211031729152 53988867712656072 54845833866825216 60619079537017344 61701563100178368 61978251723945984 63986806177962752 71985156950208096 73127778489100288 80825439382689792 82268750800237824 90928619305526016 95980209266944128 103918422063458304 107977735425312144 109691667733650432 121238159074034688 123403126200356736 127973612355925504 143970313900416192 164537501600475648 181857238611052032 191960418533888256 215955470850624288 219383335467300864 242476318148069376 246806252400713472 255947224711851008 287940627800832384 329075003200951296 363714477222104064 383920837067776512 431910941701248576 493612504801426944 511894449423702016 575881255601664768 658150006401902592 727428954444208128 767841674135553024 863821883402497152 987225009602853888 1151762511203329536 1535683348271106048 1727643766804994304 1974450019205707776 2303525022406659072 3455287533609988608 4607050044813318144 6910575067219977216 13821150134439954432
- Sum of all divisors σ(n): 49473867610073088000
- Sum of proper divisors (its aliquot sum) s(n): 35652717475633133568
- 13821150134439954432 is an abundant number, because the sum of its proper divisors (35652717475633133568) is greater than itself. Its abundance is 21831567341193179136
Bases of 13821150134439954432
- Binary: 10111111110011101001011011010001110101101010001011001000000000002
- Hexadecimal: 0xBFCE96D1D6A2C800
- Base-36: 2X08KTPZW0LC0
Squares and roots of 13821150134439954432
- 13821150134439954432 squared (138211501344399544322) is 191024191038729570469774947678236442624
- 13821150134439954432 cubed (138211501344399544323) is 2640174023656220741554796219230534408129989144492342509568
-
The
square root of 13821150134439954432 is 3717680746.7075429919 -
The
cube root of 13821150134439954432 is 2399835.0658901021
Scales and comparisons
How big is 13821150134439954432?- 13,821,150,134,439,954,432 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,821,150,134,439,954,432 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13821150134439954432 cubic inches would be around 199986.3 feet tall.
Recreational maths with 13821150134439954432
- 13821150134439954432 backwards is 23445993443105112831
- 13821150134439954432 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 13821150134439954432's digits is 72
- More coming soon!
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The information we have on file for 13821150134439954432 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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