138229348932292688
138,229,348,932,292,688 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138229348932292688 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
138229348932292688 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138229348932292688:
24 × 7 × 372 × 41 × 151 × 1741 × 83641
(2 × 2 × 2 × 2 × 7 × 37 × 37 × 41 × 151 × 1741 × 83641)See below for interesting mathematical facts about the number 138229348932292688 from the Numbermatics database.
Names of 138229348932292688
- Cardinal: 138229348932292688 can be written as One hundred thirty-eight quadrillion, two hundred twenty-nine trillion, three hundred forty-eight billion, nine hundred thirty-two million, two hundred ninety-two thousand, six hundred eighty-eight.
Scientific notation
- Scientific notation: 1.38229348932292688 × 1017
Factors of 138229348932292688
Divisors of 138229348932292688
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 4 7 8 14 16 28 37 41 56 74 82 112 148 151 164 259 287 296 302 328 518 574 592 604 656 1036 1057 1148 1208 1369 1517 1741 2072 2114 2296 2416 2738 3034 3482 4144 4228 4592 5476 5587 6068 6191 6964 8456 9583 10619 10952 11174 12136 12187 12382 13928 16912 19166 21238 21904 22348 24272 24374 24764 27856 38332 39109 42476 43337 44696 48748 49528 56129 64417 71381 76664 78218 83641 84952 86674 89392 97496 99056 112258 128834 142762 153328 156436 167282 169904 173348 194992 206719 224516 229067 257668 262891 285524 312872 334564 346696 392903 413438 449032 450919 458134 499667 515336 525782 571048 585487 625744 669128 693392 785806 826876 898064 901838 916268 999334 1030672 1051564 1142096 1170974 1338256 1447033 1571612 1603469 1653752 1803676 1832536 1840237 1998668 2103128 2341948 2383429 2641097 2894066 3094717 3143224 3206938 3307504 3429281 3607352 3665072 3680474 3997336 4206256 4683896 4766858 5282194 5788132 6189434 6286448 6413876 6858562 7214704 7360948 7994672 8475479 9367792 9533716 9726967 10564388 10778531 11576264 12378868 12629791 12827752 13717124 14721896 16684003 16950958 18487679 19067432 19453934 21128776 21557062 21663019 23152528 24004967 24757736 25259582 25655504 27434248 29443792 33368006 33901916 36975358 38134864 38907868 42257552 43114124 43326038 48009934 49515472 50519164 54868496 59328353 66736012 67803832 68088769 73950716 75449717 77815736 86228248 86652076 88408537 96019868 97720589 101038328 114504529 118656706 126883397 133472024 135607664 136177538 145618981 147901432 150899434 155631472 172456496 173304152 176817074 192039736 195441178 202076656 229009058 237313412 253766794 266944048 272355076 291237962 295802864 301798868 346608304 353634148 359897779 384079472 390882356 398805647 458018116 467302267 474626824 507533588 517821431 544710152 582475924 603597736 684044123 707268296 719795558 781764712 797611294 801531703 888183779 916036232 934604534 949253648 1015067176 1019332867 1035642862 1089420304 1164951848 1207195472 1368088246 1414536592 1439591116 1563529424 1595222588 1603063406 1776367558 1832072464 1869209068 2030134352 2038665734 2071285724 2329903696 2519284453 2736176492 2791639529 2879182232 3190445176 3206126812 3271115869 3552735116 3624750017 3738418136 4077331468 4142571448 4694685689 5038568906 5387902297 5472352984 5583279058 5758364464 5970378221 6380890352 6412253624 6542231738 7105470232 7249500034 7476836272 8154662936 8285142896 9389371378 10077137812 10775804594 10944705968 11166558116 11940756442 12824507248 13084463476 14210940464 14499000068 14755808939 16309325872 17290183879 18778742756 19159392947 20154275624 21551609188 21988466131 22333116232 23881512884 26168926952 28998000136 29511617878 32862799823 34580367758 37557485512 37715316079 38318785894 40308551248 41792647547 43103218376 43976932262 44666232464 47763025768 52337853904 57996000272 59023235756 65725599646 69160735516 75114971024 75430632158 76637571788 83585295094 86206436752 87953864524 95526051536 103290662573 118046471512 121031287153 131451199292 134115750629 138321471032 150861264316 153275143576 153919262917 167170590188 175907729048 199352384989 206581325146 220903994177 236092943024 242062574306 262902398584 268231501258 276642942064 301722528632 306550287152 307838525834 334341180376 351815458096 398704769978 413162650292 441807988354 484125148612 525804797168 536463002516 603445057264 615677051668 668682360752 708897539039 797409539956 813573246847 826325300584 883615976708 901527111371 968250297224 1072926005032 1231354103336 1395466694923 1417795078078 1546327959239 1594819079912 1627146493694 1652650601168 1767231953416 1803054222742 1936500594448 2145852010064 2462708206672 2790933389846 2835590156156 3092655918478 3189638159824 3254292987388 3534463906832 3606108445484 4962282773273 5581866779692 5671180312312 5695012727929 6185311836956 6310689779597 6508585974776 7212216890968 8173447784549 9924565546546 11163733559384 11342360624624 11390025455858 12370623673912 12621379559194 13017171949552 14424433781936 16346895569098 19849131093092 22327467118768 22780050911716 24741247347824 25242759118388 30102210133339 32693791138196 33356503120727 39698262186184 45560101823432 50485518236776 57214134491843 60204420266678 65387582276392 66713006241454 79396524372368 91120203646864 100971036473552 114428268983686 120408840533356 130775164552784 133426012482908 210715470933373 228856537967372 233495521845089 240817681066712 266852024965816 421430941866746 457713075934744 466991043690178 481635362133424 533704049931632 842861883733492 915426151869488 933982087380356 1234190615466899 1685723767466984 1867964174760712 2468381230933798 3371447534933968 3735928349521424 4936762461867596 8639334308268293 9873524923735192 17278668616536586 19747049847470384 34557337233073172 69114674466146344 138229348932292688
- Sum of all divisors σ(n): 324572122955598336
- Sum of proper divisors (its aliquot sum) s(n): 186342774023305648
- 138229348932292688 is an abundant number, because the sum of its proper divisors (186342774023305648) is greater than itself. Its abundance is 48113425091012960
Bases of 138229348932292688
- Binary: 1111010110001011011011100010010001010010010010000010100002
- Hexadecimal: 0x1EB16DC48A49050
- Base-36: 11T27Q8Y9DU8
Squares and roots of 138229348932292688
- 138229348932292688 squared (1382293489322926882) is 19107352906245525683984504098265344
- 138229348932292688 cubed (1382293489322926883) is 2641196952049869544742685171501498308234525695004672
-
The
square root of 138229348932292688 is 371792077.5545018093 -
The
cube root of 138229348932292688 is 517051.0457354773
Scales and comparisons
How big is 138229348932292688?- 138,229,348,932,292,688 seconds is equal to 4,395,265,724 years, 31 weeks, 9 hours, 18 minutes, 8 seconds.
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To count from 1 to 138,229,348,932,292,688 would take you about thirteen billion, one hundred eighty-five million, seven hundred ninety-seven thousand, one hundred seventy-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 138229348932292688 cubic inches would be around 43087.6 feet tall.
Recreational maths with 138229348932292688
- 138229348932292688 backwards is 886292239843922831
- The number of decimal digits it has is: 18
- The sum of 138229348932292688's digits is 89
- More coming soon!
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The information we have on file for 138229348932292688 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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