138330451438240512
138,330,451,438,240,512 is an even composite number composed of six prime numbers multiplied together.
What does the number 138330451438240512 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1728 divisors.
138330451438240512 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138330451438240512:
28 × 3 × 11 × 233 × 373 × 1632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 11 × 23 × 23 × 23 × 37 × 37 × 37 × 163 × 163)See below for interesting mathematical facts about the number 138330451438240512 from the Numbermatics database.
Names of 138330451438240512
- Cardinal: 138330451438240512 can be written as One hundred thirty-eight quadrillion, three hundred thirty trillion, four hundred fifty-one billion, four hundred thirty-eight million, two hundred forty thousand, five hundred twelve.
Scientific notation
- Scientific notation: 1.38330451438240512 × 1017
Factors of 138330451438240512
Divisors of 138330451438240512
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 6 8 11 12 16 22 23 24 32 33 37 44 46 48 64 66 69 74 88 92 96 111 128 132 138 148 163 176 184 192 222 253 256 264 276 296 326 352 368 384 407 444 489 506 528 529 552 592 652 704 736 759 768 814 851 888 978 1012 1056 1058 1104 1184 1221 1304 1369 1408 1472 1518 1587 1628 1702 1776 1793 1956 2024 2112 2116 2208 2368 2442 2553 2608 2738 2816 2944 3036 3174 3256 3404 3552 3586 3749 3912 4048 4107 4224 4232 4416 4736 4884 5106 5216 5379 5476 5819 5888 6031 6072 6348 6512 6808 7104 7172 7498 7824 8096 8214 8448 8464 8832 9361 9472 9768 10212 10432 10758 10952 11247 11638 12062 12144 12167 12696 13024 13616 14208 14344 14996 15059 15648 16192 16428 16928 17457 17664 18093 18722 19536 19573 20424 20864 21516 21904 22494 23276 24124 24288 24334 25392 26048 26569 27232 28083 28416 28688 29992 30118 31296 31487 32384 32856 33856 34914 36186 36501 37444 39072 39146 40848 41239 41728 43032 43808 44988 45177 46552 48248 48576 48668 50653 50784 52096 53138 54464 56166 57376 58719 59984 60236 62592 62974 64768 65712 66341 67712 69828 72372 73002 74888 78144 78292 79707 81696 82478 86064 86227 87616 89976 90354 93104 94461 96496 97152 97336 101306 101568 104192 106276 108928 112332 114752 117438 119968 120472 123717 125184 125948 131424 132682 133837 135424 138713 139656 144744 146004 149776 151959 156288 156584 159414 163392 164956 172128 172454 175232 179952 180708 186208 188922 192992 194304 194672 199023 202612 203136 212552 215303 217856 223147 224664 229504 234876 239936 240944 247434 251896 258681 262848 265364 267674 277426 279312 289488 292008 292259 299552 303918 312576 313168 318828 326784 329912 344256 344908 346357 350464 359904 361416 372416 377844 385984 389344 398046 401511 405224 406272 416139 425104 430606 446294 449328 450179 459008 469752 479872 481888 494868 503792 517362 525696 530728 535348 554852 557183 558624 578976 584016 584518 599104 607836 611087 626336 637656 645909 653568 659824 669441 688512 689816 692714 719808 722832 724201 744832 755688 771968 778688 796092 803022 810448 832278 850208 861212 876777 892588 898656 900358 939504 948497 959744 963776 983053 989736 1007584 1034724 1039071 1051392 1061456 1070696 1109704 1114366 1117248 1157952 1165019 1168032 1169036 1198208 1215672 1222174 1252672 1275312 1291818 1319648 1338882 1350537 1377024 1379632 1385428 1439616 1445664 1448402 1489664 1511376 1525843 1543936 1557376 1592184 1606044 1620896 1664556 1671549 1700416 1722424 1753554 1785176 1797312 1800716 1833261 1879008 1896994 1927552 1966106 1979472 1983221 2015168 2069448 2078142 2122912 2141392 2172603 2219408 2228732 2234496 2315904 2330038 2336064 2338072 2396416 2431344 2444348 2454617 2505344 2550624 2583636 2639296 2677764 2701074 2759264 2770856 2845491 2879232 2891328 2896804 2949159 3022752 3051686 3114752 3184368 3190399 3212088 3241792 3329112 3343098 3400832 3444848 3495057 3507108 3570352 3594624 3601432 3666522 3758016 3793988 3855104 3932212 3958944 3966442 4030336 4138896 4156284 4245824 4282784 4345206 4438816 4457464 4468992 4577529 4631808 4660076 4672128 4676144 4862688 4888696 4909234 4951969 5010688 5101248 5132381 5167272 5278592 5355528 5402148 5518528 5541712 5690982 5782656 5793608 5898318 5949663 6045504 6103372 6368736 6380798 6424176 6483584 6658224 6686196 6721957 6801664 6889696 6990114 7014216 7140704 7189248 7202864 7333044 7363851 7516032 7587976 7864424 7917888 7932884 7966211 8060672 8256439 8277792 8312568 8491648 8565568 8690412 8877632 8914928 9155058 9320152 9344256 9352288 9571197 9725376 9777392 9818468 9903938 10202496 10264762 10334544 10557184 10711056 10804296 10813583 11037056 11083424 11381964 11565312 11587216 11796636 11899326 12091008 12206744 12737472 12761596 12815209 12848352 12967168 13316448 13372392 13443914 13779392 13980228 14028432 14055001 14281408 14405728 14666088 14727702 14855907 15032064 15175952 15397143 15728848 15835776 15865768 15932422 16512878 16555584 16625136 16656623 16983296 17131136 17380824 17755264 17829856 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1421164332192 1423855931306 1433535601872 1464418664192 1485762710928 1530983148928 1537414993312 1578826372332 1604259123456 1607297493008 1677179992704 1693234080472 1735486863616 1766852953536 1770199265948 1847164451424 1894885776256 1911380802496 1981016947904 2042923727526 2085142693632 2105101829776 2135783896959 2196627996288 2210034052886 2296474723392 2306122489968 2355803938048 2410946239512 2462885935232 2539851120708 2603230295424 2655298898922 2723898303368 2730942914304 2842328664384 2847711862612 2867071203744 2971525421856 3061966297856 3074829986624 3157652744664 3214594986016 3315051079329 3354359985408 3386468160944 3533705907072 3540398531896 3694328902848 3789771552512 3822761604992 3962033895808 4085847455052 4210203659552 4271567793918 4393255992576 4420068105772 4592949446784 4612244979936 4821892479024 4868047981357 4925771870464 5079702241416 5206460590848 5310597797844 5447796606736 5684657328768 5695423725224 5734142407488 5943050843712 6149659973248 6315305489328 6429189972032 6630102158658 6772936321888 7067411814144 7080797063792 7388657805696 7645523209984 7831207622183 7924067791616 8171694910104 8420407319104 8543135587836 8840136211544 9185898893568 9224489959872 9643784958048 9736095962714 10159404482832 10621195595688 10895593213472 11369314657536 11390847450448 11468284814976 11886101687424 12299319946496 12630610978656 12858379944064 13260204317316 13545872643776 14161594127584 14604143944071 14777315611392 15662415244366 16343389820208 16374343210019 16840814638208 17086271175672 17680272423088 18448979919744 19287569916096 19472191925428 20318808965664 21242391191376 21791186426944 22781694900896 22936569629952 23493622866549 23772203374848 25261221957312 25716759888128 26520408634632 27091745287552 28323188255168 29208287888142 31324830488732 32686779640416 32748686420038 33681629276416 34172542351344 35360544846176 36897959839488 38575139832192 38944383850856 40637617931328 42484782382752 43582372853888 45563389801792 46987245733098 49123029630057 50522443914624 53040817269264 54183490575104 56646376510336 58416575776284 62649660977464 65373559280832 65497372840076 68345084702688 70721089692352 77150279664384 77888767701712 81275235862656 84969564765504 87164745707776 91126779603584 93974491466196 98246059260114 101044887829248 106081634538528 113292753020672 116833151552568 125299321954928 130747118561664 130994745680152 136690169405376 141442179384704 155777535403424 162550471725312 169939129531008 180117775310209 182253559207168 187948982932392 196492118520228 212163269077056 233666303105136 250598643909856 261494237123328 261989491360304 273380338810752 282884358769408 311555070806848 339878259062016 360235550620418 375897965864784 392984237040456 424326538154112 467332606210272 501197287819712 523978982720608 540353325930627 546760677621504 623110141613696 720471101240836 751795931729568 785968474080912 848653076308224 934665212420544 1002394575639424 1047957965441216 1080706651861254 1246220283227392 1440942202481672 1503591863459136 1571936948161824 1869330424841088 2004789151278848 2095915930882432 2161413303722508 2881884404963344 3007183726918272 3143873896323648 3738660849682176 4191831861764864 4322826607445016 5763768809926688 6014367453836544 6287747792647296 8645653214890032 11527537619853376 12575495585294592 17291306429780064 23055075239706752 34582612859560128 46110150479413504 69165225719120256 138330451438240512
- Sum of all divisors σ(n): 434211289555276800
- Sum of proper divisors (its aliquot sum) s(n): 295880838117036288
- 138330451438240512 is an abundant number, because the sum of its proper divisors (295880838117036288) is greater than itself. Its abundance is 157550386678795776
Bases of 138330451438240512
- Binary: 1111010110111001011010000000010111001100010000011000000002
- Hexadecimal: 0x1EB72D00B988300
- Base-36: 11U21W3JWUTC
Squares and roots of 138330451438240512
- 138330451438240512 squared (1383304514382405122) is 19135313795107416534916570358022144
- 138330451438240512 cubed (1383304514382405123) is 2646996595689600237568403742257538318490591693897728
-
The
square root of 138330451438240512 is 371928019.1626338227 -
The
cube root of 138330451438240512 is 517177.0740045025
Scales and comparisons
How big is 138330451438240512?- 138,330,451,438,240,512 seconds is equal to 4,398,480,471 years, 28 weeks, 6 days, 7 hours, 15 minutes, 12 seconds.
-
To count from 1 to 138,330,451,438,240,512 would take you about thirteen billion, one hundred ninety-five million, four hundred forty-one thousand, four hundred fourteen 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 138330451438240512 cubic inches would be around 43098.1 feet tall.
Recreational maths with 138330451438240512
- 138330451438240512 backwards is 215042834154033831
- The number of decimal digits it has is: 18
- The sum of 138330451438240512's digits is 57
- More coming soon!
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Cite this page
MLA style:
"Number 138330451438240512 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 138330451438240512 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/138330451438240512/
Chicago style:
Numbermatics. 2024. "Number 138330451438240512 - Facts about the integer". https://numbermatics.com/n/138330451438240512/
The information we have on file for 138330451438240512 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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