138705728974848
138,705,728,974,848 is an even composite number composed of six prime numbers multiplied together.
138705728974848 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred four divisors.
Prime factorization of 138705728974848:
212 × 32 × 72 × 19 × 1072 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 7 × 19 × 107 × 107 × 353)See below for interesting mathematical facts about the number 138705728974848 from the Numbermatics database.
Names of 138705728974848
- Cardinal: 138705728974848 can be written as One hundred thirty-eight trillion, seven hundred five billion, seven hundred twenty-eight million, nine hundred seventy-four thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.38705728974848 × 1014
Factors of 138705728974848
Divisors of 138705728974848
- Number of divisors d(n): 1404
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 49 56 57 63 64 72 76 84 96 98 107 112 114 126 128 133 144 147 152 168 171 192 196 214 224 228 252 256 266 288 294 304 321 336 342 353 384 392 399 428 441 448 456 504 512 532 576 588 608 642 672 684 706 749 768 784 798 856 882 896 912 931 963 1008 1024 1059 1064 1152 1176 1197 1216 1284 1344 1368 1412 1498 1536 1568 1596 1712 1764 1792 1824 1862 1926 2016 2033 2048 2118 2128 2247 2304 2352 2394 2432 2471 2568 2688 2736 2793 2824 2996 3072 3136 3177 3192 3424 3528 3584 3648 3724 3852 4032 4066 4096 4236 4256 4494 4608 4704 4788 4864 4942 5136 5243 5376 5472 5586 5648 5992 6099 6144 6272 6354 6384 6707 6741 6848 7056 7168 7296 7413 7448 7704 8064 8132 8379 8472 8512 8988 9216 9408 9576 9728 9884 10272 10486 10752 10944 11172 11296 11449 11984 12198 12288 12544 12708 12768 13414 13482 13696 14112 14231 14336 14592 14826 14896 15408 15729 16128 16264 16758 16944 17024 17297 17976 18297 18432 18816 19152 19456 19768 20121 20544 20972 21504 21888 22239 22344 22592 22898 23968 24396 25088 25416 25536 26828 26964 27392 28224 28462 28672 29184 29652 29792 30816 31458 32256 32528 33516 33888 34048 34347 34594 35952 36594 36864 37632 37771 38304 38912 39536 40242 41088 41944 42693 43008 43776 44478 44688 45184 45796 46949 47187 47936 48792 50176 50832 51072 51891 53656 53928 54784 56448 56924 58368 59304 59584 60363 61632 62916 64512 65056 67032 67776 68096 68694 69188 71904 73188 75264 75542 76608 77824 79072 80143 80484 82176 83888 85386 86016 87552 88956 89376 90368 91592 93898 94374 95872 97584 99617 100352 101664 102144 103041 103782 107312 107856 109568 112896 113313 113848 116736 118608 119168 120726 123264 125832 128079 129024 130112 134064 135552 136192 137388 138376 140847 143808 146376 150528 151084 153216 155673 158144 160286 160968 164352 167776 170772 175104 177912 178752 180736 183184 187796 188748 191744 195168 199234 200704 203328 204288 206082 207564 214624 215712 217531 219136 225792 226626 227696 233472 237216 238336 240429 241452 246528 251664 256158 258048 260224 264397 268128 271104 272384 274776 276752 281694 287616 292752 298851 301056 302168 306432 311346 316288 320572 321936 328643 328704 335552 339939 341544 350208 355824 357504 361472 366368 375592 377496 383488 390336 398468 406656 408576 412164 415128 422541 429248 431424 435062 438272 451584 453252 455392 474432 476672 480858 482904 493056 503328 512316 520448 528794 536256 542208 544768 549552 553504 561001 563388 575232 585504 597702 602112 604336 612864 622692 632576 641144 643872 652593 657286 657408 671104 679878 683088 700416 711648 715008 717649 721287 722944 732736 751184 754992 766976 780672 793191 796936 813312 817152 824328 830256 845082 858496 862848 870124 896553 903168 906504 910784 948864 953344 961716 965808 985929 986112 1006656 1024632 1040896 1057588 1072512 1084416 1099104 1107008 1122002 1126776 1150464 1171008 1195404 1208672 1225728 1245384 1265152 1282288 1287744 1305186 1314572 1314816 1342208 1359756 1366176 1423296 1430016 1435298 1442574 1445888 1465472 1502368 1509984 1522717 1533952 1561344 1586382 1593872 1626624 1634304 1648656 1660512 1683003 1690164 1716992 1725696 1740248 1793106 1806336 1813008 1821568 1850779 1897728 1906688 1923432 1931616 1957779 1971858 1972224 2013312 2049264 2081792 2115176 2145024 2152947 2168832 2198208 2214016 2244004 2253552 2300928 2342016 2379573 2390808 2417344 2451456 2490768 2530304 2564576 2575488 2610372 2629144 2684416 2719512 2732352 2846592 2860032 2870596 2885148 2930944 2957787 3004736 3019968 3045434 3067904 3122688 3172764 3187744 3253248 3297312 3321024 3366006 3380328 3433984 3451392 3480496 3586212 3626016 3643136 3701558 3795456 3813376 3846864 3863232 3915558 3943716 3944448 4026624 4041497 4098528 4163584 4230352 4290048 4305894 4337664 4396416 4428032 4488008 4507104 4568151 4601856 4684032 4759146 4781616 4834688 4902912 4981536 5023543 5049009 5060608 5129152 5150976 5220744 5258288 5368832 5439024 5464704 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3762633707 3790395392 3858081024 4009531392 4038365184 4073828976 4093063296 4138492928 4264194816 4300152808 4409235456 4501094528 4655804544 4677786624 4752800472 4837671909 4873365504 4914460352 5063731344 5144108032 5170185216 5431771968 5457417728 5528767896 5685593088 5787121536 6057547776 6139594944 6207739392 6237048832 6337067296 6450229212 6613853184 6751641792 6893580288 7016679936 7129200708 7242362624 7371690528 7525267414 7580790784 7716162048 8019062784 8147657952 8186126592 8276985856 8528389632 8600305616 8818470912 9002189056 9311609088 9355573248 9505600944 9675343818 9746731008 9828920704 10127462688 10288216064 10340370432 10863543936 10914835456 11057535792 11287901121 11371186176 11574243072 12115095552 12279189888 12415478784 12674134592 12900458424 13227706368 13503283584 14033359872 14258401416 14484725248 14743381056 15050534828 15432324096 16295315904 16372253184 16553971712 17056779264 17200611232 18004378112 18623218176 18711146496 19011201888 19350687636 19657841408 20254925376 20576432128 20680740864 21727087872 21829670912 22115071584 22575802242 22742372352 23148486144 24558379776 24830957568 25348269184 25800916848 26455412736 27006567168 28066719744 28516802832 28969450496 29486762112 30101069656 30864648192 32590631808 32744506368 33863703363 34113558528 34401222464 36008756224 37246436352 38022403776 38701375272 39315682816 40509850752 43454175744 43659341824 44230143168 45151604484 46296972288 49116759552 49661915136 50696538368 51601833696 54013134336 56133439488 57033605664 57938900992 58973524224 60202139312 61729296384 65181263616 65489012736 67727406726 68227117056 68802444928 72017512448 74492872704 76044807552 77402750544 78631365632 81019701504 86908351488 88460286336 90303208968 92593944576 98233519104 101393076736 103203667392 108026268672 114067211328 115877801984 117947048448 120404278624 130362527232 130978025472 135454813452 137604889856 144035024896 148985745408 152089615104 154805501088 157262731264 162039403008 173816702976 176920572672 180606417936 185187889152 196467038208 202786153472 206407334784 216052537344 228134422656 235894096896 240808557248 260725054464 270909626904 275209779712 304179230208 309611002176 314525462528 324078806016 347633405952 353841145344 361212835872 392934076416 405572306944 412814669568 432105074688 456268845312 471788193792 481617114496 521450108928 541819253808 550419559424 608358460416 619222004352 648157612032 707682290688 722425671744 811144613888 825629339136 912537690624 943576387584 963234228992 1042900217856 1083638507616 1100839118848 1216716920832 1238444008704 1296315224064 1415364581376 1444851343488 1651258678272 1825075381248 1926468457984 2167277015232 2201678237696 2433433841664 2476888017408 2830729162752 2889702686976 3302517356544 3650150762496 3852936915968 4334554030464 4953776034816 5779405373952 6605034713088 7300301524992 7705873831936 8669108060928 9907552069632 11558810747904 15411747663872 17338216121856 19815104139264 23117621495808 34676432243712 46235242991616 69352864487424 138705728974848
- Sum of all divisors σ(n): 496630633950360
- Sum of proper divisors (its aliquot sum) s(n): 357924904975512
- 138705728974848 is an abundant number, because the sum of its proper divisors (357924904975512) is greater than itself. Its abundance is 219219176000664
Bases of 138705728974848
- Binary: 111111000100110111100011011010000110000000000002
- Hexadecimal: 0x7E26F1B43000
- Base-36: 1D60J5R7K0
Squares and roots of 138705728974848
- 138705728974848 squared (1387057289748482) is 19239279250443988009016623104
- 138705728974848 cubed (1387057289748483) is 2668598253383500578750742094355776711688192
-
The
square root of 138705728974848 is 11777339.6391055989 -
The
cube root of 138705728974848 is 51764.4336006337
Scales and comparisons
How big is 138705728974848?- 138,705,728,974,848 seconds is equal to 4,410,413 years, 7 weeks, 15 hours, 40 minutes, 48 seconds.
-
To count from 1 to 138,705,728,974,848 would take you about eleven million, twenty-six thousand and thirty-two 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 138705728974848 cubic inches would be around 4313.7 feet tall.
Recreational maths with 138705728974848
- 138705728974848 backwards is 848479827507831
- The number of decimal digits it has is: 15
- The sum of 138705728974848's digits is 81
- More coming soon!
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"Number 138705728974848 - Facts about the integer". Numbermatics.com. 2024. Web. 16 June 2024.
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Numbermatics. (2024). Number 138705728974848 - Facts about the integer. Retrieved 16 June 2024, from https://numbermatics.com/n/138705728974848/
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The information we have on file for 138705728974848 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 138705728974848, math, Factors of 138705728974848, curriculum, school, college, exams, university, Prime factorization of 138705728974848, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, seven hundred five billion, seven hundred twenty-eight million, nine hundred seventy-four thousand, eight hundred forty-eight.