138411248972416
138,411,248,972,416 is an even composite number composed of five prime numbers multiplied together.
What does the number 138411248972416 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 960 divisors.
138411248972416 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 138411248972416:
27 × 74 × 173 × 292 × 109
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 7 × 17 × 17 × 17 × 29 × 29 × 109)See below for interesting mathematical facts about the number 138411248972416 from the Numbermatics database.
Names of 138411248972416
- Cardinal: 138411248972416 can be written as One hundred thirty-eight trillion, four hundred eleven billion, two hundred forty-eight million, nine hundred seventy-two thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.38411248972416 × 1014
Factors of 138411248972416
Divisors of 138411248972416
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 7 8 14 16 17 28 29 32 34 49 56 58 64 68 98 109 112 116 119 128 136 196 203 218 224 232 238 272 289 343 392 406 436 448 464 476 493 544 578 686 763 784 812 833 841 872 896 928 952 986 1088 1156 1372 1421 1526 1568 1624 1666 1682 1744 1853 1856 1904 1972 2023 2176 2312 2401 2744 2842 3052 3136 3161 3248 3332 3364 3451 3488 3706 3712 3808 3944 4046 4624 4802 4913 5341 5488 5684 5831 5887 6104 6272 6322 6496 6664 6728 6902 6976 7412 7616 7888 8092 8381 9248 9604 9826 9947 10682 10976 11368 11662 11774 12208 12644 12971 12992 13328 13456 13804 13952 14161 14297 14824 15232 15776 16184 16762 18496 19208 19652 19894 21364 21952 22127 22736 23324 23548 24157 24416 25288 25942 25984 26656 26912 27608 28322 28594 29648 31501 31552 32368 33524 34391 36992 37387 38416 39304 39788 40817 41209 42728 43904 44254 45472 46648 47096 48314 48832 50576 51884 53312 53737 53824 55216 56644 57188 58667 59296 63002 63104 64736 67048 68782 69629 74774 76832 78608 79576 81634 82418 85456 88508 90797 90944 91669 93296 94192 96628 97664 99127 100079 101152 103768 106624 107474 107648 110432 113288 114376 117334 118592 126004 129472 134096 137564 139258 142477 149548 153664 154889 157216 159152 163268 164836 169099 170912 177016 181594 181888 183338 186592 188384 193256 198254 200158 202304 207536 214948 220507 220864 226576 228752 234668 237184 240737 243049 252008 258944 261709 268192 275128 278516 284954 288463 299096 307328 309778 314432 318304 326536 329672 338198 341824 354032 363188 366676 373184 376159 376768 386512 396508 400316 404608 410669 415072 429896 441014 441728 453152 457504 469336 481474 486098 504016 523418 535517 536384 550256 557032 569908 576926 598192 619556 628864 635579 636608 641683 653072 659344 676396 683648 693889 700553 708064 726376 733352 746368 752318 753536 773024 793016 800632 821338 830144 859792 882028 906304 913529 915008 938672 962948 972196 997339 1008032 1046836 1071034 1072768 1084223 1100512 1114064 1139816 1153852 1183693 1196384 1239112 1271158 1273216 1283366 1306144 1318688 1352792 1387778 1401106 1416128 1452752 1466704 1504636 1543549 1546048 1558373 1586032 1601264 1642676 1660288 1685159 1701343 1719584 1764056 1812608 1827058 1830016 1877344 1925896 1944392 1994678 2016064 2019241 2093672 2142068 2168446 2201024 2228128 2279632 2307704 2367386 2392768 2478224 2542316 2566732 2612288 2633113 2637376 2705584 2775556 2802212 2832256 2874683 2905504 2933408 3009272 3087098 3092096 3116746 3172064 3202528 3285352 3370318 3402686 3439168 3528112 3654116 3748619 3754688 3851792 3888784 3989356 4032128 4038482 4131833 4187344 4284136 4336892 4402048 4449053 4456256 4491781 4559264 4615408 4734772 4785536 4903871 4956448 5084632 5133464 5224576 5266226 5274752 5411168 5551112 5604424 5749366 5811008 5866816 6018544 6174196 6233492 6344128 6394703 6405056 6570704 6740636 6805372 6878336 6981373 7056224 7308232 7497238 7509376 7589561 7703584 7777568 7978712 8076964 8263666 8374688 8568272 8673784 8898106 8912512 8983562 9118528 9230816 9469544 9807742 9912896 10169264 10266928 10532452 10804843 10822336 10908611 11102224 11208848 11498732 11622016 11733632 11796113 11909401 12037088 12348392 12466984 12688256 12789406 12810112 13141408 13481272 13610744 13962746 14112448 14616464 14994476 15179122 15407168 15529993 15555136 15957424 16153928 16527332 16749376 17136544 17347568 17796212 17967124 18237056 18431791 18461632 18939088 19615484 19825792 20122781 20338528 20533856 21064904 21609686 21644672 21817222 22204448 22417696 22997464 23592226 23818802 24074176 24696784 24933968 25578812 26240333 26282816 26492341 26962544 27221488 27925492 28224896 28922831 29232928 29988952 30358244 30814336 31059986 31110272 31442467 31914848 32307856 33054664 33498752 34273088 34327097 34695136 35592424 35934248 36863582 36923264 37878176 39230968 40245562 40677056 41067712 42129808 43219372 43634444 44408896 44762921 44835392 45994928 47184452 47637604 48148352 48869611 49393568 49867936 51157624 52480666 52565632 52984682 53925088 54442976 55850984 57845662 58465856 59977904 60716488 62119972 62884934 63829696 64615712 66109328 68546176 68654194 69390272 71184848 71868496 73727164 75633901 75756352 76360277 78461936 80491124 81354112 82135424 83365807 84259616 86438744 87268888 88817792 89525842 89670784 91989856 94368904 95275208 97739222 98787136 99735872 102315248 104961332 105969364 107850176 108709951 108885952 111701968 115691324 116931712 119955808 121432976 124239944 125769868 127659392 129022537 129231424 132218656 137308388 138780544 142369696 143736992 147454328 151267802 151512704 152720554 156923872 160982248 166731614 168519232 172877488 174537776 179051684 183682331 183979712 185446387 188737808 190550416 195478444 197574272 199471744 202459817 204630496 209922664 211938728 215700352 217419902 217771904 220097269 223403936 231382648 239911616 242865952 248479888 251539736 258045074 258462848 264437312 274616776 284739392 287473984 294908656 302535604 305441108 313340447 313847744 321964496 333463228 337038464 342087277 345754976 349075552 358103368 367364662 367959424 370892774 377475616 381100832 390956888 404919634 409260992 419845328 423877456 434839804 440194538 446807872 450369797 462765296 479823232 485731904 496959776 503079472 516090148 528874624 534521939 549233552 569478784 574947968 583560649 589817312 605071208 610882216 626680894 627695488 643928992 666926456 684174554 691509952 698151104 716206736 734729324 741785548 754951232 760969657 762201664 781913776 809839268 818521984 839690656 847754912 869679608 880389076 893615744 900739594 925530592 971463808 993919552 1006158944 1032180296 1069043878 1098467104 1167121298 1179634624 1210142416 1221764432 1253361788 1285776317 1287857984 1298124709 1333852912 1368349108 1383019904 1396302208 1417218719 1432413472 1469458648 1483571096 1509902464 1521939314 1524403328 1563827552 1619678536 1679381312 1695509824 1739359216 1760778152 1801479188 1851061184 1987839104 2012317888 2064360592 2138087756 2193383129 2196934208 2334242596 2359269248 2420284832 2443528864 2506723576 2571552634 2575715968 2596249418 2667705824 2736698216 2834437438 2864826944 2938917296 2967142192 3043878628 3127655104 3152588579 3239357072 3358762624 3391019648 3478718432 3521556304 3602958376 3702122368 3741653573 4024635776 4128721184 4276175512 4386766258 4393868416 4668485192 4840569664 4887057728 5013447152 5143105268 5192498836 5326787599 5335411648 5473396432 5668874876 5729653888 5877834592 5934284384 6087757256 6255310208 6305177158 6478714144 6957436864 7043112608 7205916752 7483307146 8257442368 8552351024 8773532516 9086872963 9336970384 9681139328 9774115456 9920531033 10026894304 10286210536 10384997672 10653575198 10670823296 10946792864 11337749752 11755669184 11868568768 12175514512 12610354316 12957428288 13914873728 14086225216 14411833504 14966614292 16514884736 17104702048 17547065032 18173745926 18673940768 19841062066 20053788608 20572421072 20769995344 21307150396 21893585728 22068120053 22675499504 23511338368 23737137536 24351029024 25220708632 25914856576 28172450432 28823667008 29933228584 34209404096 35094130064 36347491852 37287513193 37347881536 39682124132 40107577216 41144842144 41539990688 42614300792 43787171456 44136240106 45350999008 48702058048 50441417264 57647334016 59866457168 63608110741 68418808192 70188260128 72694983704 74575026386 74695763072 79364248264 82289684288 83079981376 85228601584 88272480212 90701998016 97404116096 100882834528 119732914336 127216221482 140376520256 145389967408 149150052772 154476840371 158728496528 164579368576 166159962752 170457203168 176544960424 181403996032 201765669056 239465828672 254432442964 280753040512 290779934816 298300105544 308953680742 317456993056 340914406336 353089920848 403531338112 478931657344 508864885928 581559869632 596600211088 617907361484 634913986112 681828812672 706179841696 1017729771856 1081337882597 1163119739264 1193200422176 1235814722968 1269827972224 1412359683392 2035459543712 2162675765194 2386400844352 2471629445936 2824719366784 4070919087424 4325351530388 4772801688704 4943258891872 8141838174848 8650703060776 9886517783744 17301406121552 19773035567488 34602812243104 69205624486208 138411248972416
- Sum of all divisors σ(n): 357219067491000
- Sum of proper divisors (its aliquot sum) s(n): 218807818518584
- 138411248972416 is an abundant number, because the sum of its proper divisors (218807818518584) is greater than itself. Its abundance is 80396569546168
Bases of 138411248972416
- Binary: 111110111100010011000010101001111110010100000002
- Hexadecimal: 0x7DE26153F280
- Base-36: 1D298ZYRGG
Squares and roots of 138411248972416
- 138411248972416 squared (1384112489724162) is 19157673842104129215928877056
- 138411248972416 cubed (1384112489724163) is 2651637563891816037573506268196220799287296
-
The
square root of 138411248972416 is 11764831.0218386049 -
The
cube root of 138411248972416 is 51727.7747184289
Scales and comparisons
How big is 138411248972416?- 138,411,248,972,416 seconds is equal to 4,401,049 years, 30 weeks, 2 days, 7 hours, 16 seconds.
-
To count from 1 to 138,411,248,972,416 would take you about eleven million, two thousand, six hundred twenty-three 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 138411248972416 cubic inches would be around 4310.6 feet tall.
Recreational maths with 138411248972416
- 138411248972416 backwards is 614279842114831
- The number of decimal digits it has is: 15
- The sum of 138411248972416's digits is 61
- More coming soon!
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The information we have on file for 138411248972416 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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