138398457752100
138,398,457,752,100 is an even composite number composed of nine prime numbers multiplied together.
What does the number 138398457752100 look like?
This visualization shows the relationship between its 9 prime factors (large circles) and 1728 divisors.
138398457752100 is an even composite number. It is composed of nine distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 138398457752100:
22 × 32 × 52 × 7 × 13 × 31 × 53 × 941 × 1093
(2 × 2 × 3 × 3 × 5 × 5 × 7 × 13 × 31 × 53 × 941 × 1093)See below for interesting mathematical facts about the number 138398457752100 from the Numbermatics database.
Names of 138398457752100
- Cardinal: 138398457752100 can be written as One hundred thirty-eight trillion, three hundred ninety-eight billion, four hundred fifty-seven million, seven hundred fifty-two thousand, one hundred.
Scientific notation
- Scientific notation: 1.383984577521 × 1014
Factors of 138398457752100
Divisors of 138398457752100
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 25 26 28 30 31 35 36 39 42 45 50 52 53 60 62 63 65 70 75 78 84 90 91 93 100 105 106 117 124 126 130 140 150 155 156 159 175 180 182 186 195 210 212 217 225 234 252 260 265 273 279 300 310 315 318 325 350 364 371 372 390 403 420 434 450 455 465 468 477 525 530 546 558 585 620 630 636 650 651 689 700 742 775 780 795 806 819 868 900 910 930 941 954 975 1050 1060 1085 1092 1093 1113 1116 1170 1209 1260 1300 1302 1325 1365 1378 1395 1484 1550 1575 1590 1612 1638 1643 1820 1855 1860 1882 1908 1950 1953 2015 2067 2100 2170 2186 2226 2275 2325 2340 2385 2418 2604 2650 2730 2756 2790 2821 2823 2925 3100 3150 3180 3255 3276 3279 3286 3339 3445 3627 3710 3764 3900 3906 3975 4030 4095 4134 4340 4372 4452 4550 4650 4705 4770 4823 4836 4929 5300 5425 5460 5465 5565 5580 5642 5646 5850 6045 6201 6300 6510 6558 6572 6587 6678 6825 6890 6975 7254 7420 7651 7812 7950 8060 8190 8215 8268 8463 8469 9100 9275 9300 9410 9540 9646 9765 9837 9858 10075 10335 10850 10930 11130 11284 11292 11501 11700 11925 12090 12233 12402 13020 13116 13174 13356 13650 13780 13950 14105 14115 14209 14469 14508 14787 15302 15900 16275 16380 16395 16430 16695 16926 16938 17225 18135 18550 18820 19292 19530 19674 19716 19761 20150 20475 20670 21359 21700 21860 22260 22953 23002 23525 23850 24115 24180 24466 24645 24804 25389 26348 27300 27325 27825 27900 28210 28230 28418 28938 29171 29574 30225 30604 31005 32550 32790 32860 32935 33390 33852 33876 33883 34450 34503 36270 36699 37100 38255 39060 39348 39522 40300 40950 41075 41340 42315 42345 42627 42718 43407 45906 46004 47050 47700 48230 48825 48932 49185 49290 49873 50778 51675 54650 55650 56420 56460 56836 57505 57876 57929 58342 59148 59283 60450 61165 62010 64077 65100 65580 65870 66780 67766 68859 68900 69006 70525 70575 71045 72345 72540 73398 73935 76510 79044 81900 81975 82150 83475 84630 84690 85254 85436 85631 86814 87513 90675 91812 94100 96460 97650 98370 98580 98805 99463 99746 101556 101649 103350 103509 106795 109300 110097 111300 114765 115010 115858 116684 118566 120575 120900 122330 123225 124020 126945 127881 128154 131740 135532 137718 138012 141050 141150 142090 144690 145855 146796 147870 149513 149619 153020 155025 163950 164300 164675 166950 169260 169380 169415 170508 171262 172515 173628 173787 175026 181350 183495 191275 192231 195300 196740 197610 198926 199492 203298 204197 206700 207018 211575 211725 213135 213590 217035 220194 229530 230020 231716 237132 237181 241150 244660 245925 246450 249365 253890 255762 256308 256893 262539 275436 282100 282300 284180 287525 289380 289645 291710 295740 296415 298389 299026 299238 304947 305825 310050 320385 327900 329350 333900 338830 342524 344295 345030 347574 349111 350052 355225 361725 362700 366990 369675 379223 382550 384462 395220 397852 405503 406596 408394 414036 423150 423450 426270 427180 428155 434070 437565 440388 440479 448539 448857 459060 474362 482300 491850 492900 494025 497315 498730 507780 508245 511524 513786 517545 521361 525078 533975 550485 573825 575050 579290 583420 592830 596778 598052 598476 609894 611650 612591 620100 634725 639405 640770 648349 658700 677660 688590 690060 695148 698222 710450 711543 723450 729275 733980 739350 747565 748095 753077 758446 765100 768924 770679 811006 816788 846300 846900 847075 852540 856310 862575 868140 868935 875130 880958 895167 897078 897714 917475 948724 961155 983700 988050 994630 997460 1016490 1020985 1027572 1028513 1035090 1042722 1047333 1050156 1065675 1067950 1085175 1100970 1137669 1147650 1150100 1158580 1185660 1185905 1193556 1216509 1219788 1223300 1225182 1246825 1269450 1278810 1281540 1284465 1296698 1312695 1321437 1345617 1377180 1396444 1420900 1423086 1446900 1448225 1458550 1478700 1482075 1491945 1495130 1496190 1506154 1516892 1524735 1541358 1546063 1601925 1622012 1694150 1712620 1721475 1725150 1737870 1745555 1750260 1761916 1790334 1794156 1795428 1795799 1834950 1837773 1896115 1922310 1945047 1976100 1989260 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145878525 150847116 154167650 154276950 154606300 157099950 158146170 159273660 159419515 160448028 161621910 162336615 163383948 163417709 163533567 169442325 170650350 179579900 179989775 180889371 182476350 183777300 185001180 185132340 187189366 188558895 189775404 191303418 194504700 194803938 198215550 199092075 200560035 200988190 204229935 210108483 213462900 215987730 216448820 218044756 223187321 225923100 226270674 226922150 231251475 231415425 231909450 233453870 237219255 238910490 240672042 241185828 251411860 259185276 263576950 265456100 267413380 269369850 270561025 272306580 272555945 277501770 278291340 280144644 280784049 281383466 286955127 291757050 301482285 308335300 308553900 314199900 314264825 316292340 318839030 323243820 323981595 324673230 326835418 327067134 334266725 338884650 340383225 341300700 347864175 350180805 359979550 361778742 364952700 374378732 377117790 381578323 382606836 389607876 395365425 396431100 398184150 401120070 401976380 404054775 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1266225597 1295926380 1337066900 1339123926 1361532900 1362779725 1387508850 1391456700 1400723220 1403920245 1406917330 1417290914 1434775635 1470759381 1507411425 1526313292 1581461700 1594195150 1616219100 1619907975 1623366150 1634177090 1635335670 1657962956 1684704294 1688300796 1689846859 1750904025 1808893710 1871893660 1885588950 1907891615 1913034180 1948039380 1961012508 1962402804 2005600350 2008685889 2009881900 2042299350 2072453695 2101084830 2110375995 2125936371 2159877300 2231873210 2262706740 2289469938 2334538700 2339867075 2372192550 2389104900 2391292725 2406720420 2435049225 2451265635 2453003505 2486944434 2532451194 2678247852 2725559450 2775017700 2807840490 2813834660 2828383425 2834581828 2869551270 2901435173 2941518762 3008400525 3014822850 3188390300 3239815950 3246732300 3268354180 3270671340 3347809815 3369408588 3379693718 3434204907 3501808050 3517293325 3543227285 3617787420 3730416651 3771177900 3815783230 4011200700 4017371778 4084598700 4085442725 4088339175 4144907390 4202169660 4211760735 4220751990 4251872742 4463746420 4522234275 4578939876 4679734150 4744385100 4782585450 4870098450 4902531270 4906007010 4960518199 4973888868 5064902388 5069540577 5252712075 5451118900 5579683025 5615680980 5656766850 5723674845 5739102540 5802870346 5883037524 6016801050 6029645700 6217361085 6331127985 6377809113 6479631900 6695619630 6759387436 6868409814 7003616100 7019601225 7034586650 7086454570 7173878175 7353796905 7460833302 7631566460 8034743556 8170885450 8176678350 8289814780 8423521470 8441503980 8449234295 8503745484 8704305519 9044468550 9359468300 9539458075 9565170900 9740196900 9805062540 9812014020 9921036398 10043429445 10139081154 10362268475 10505424150 10551879975 10629681855 11159366050 11313533700 11447349690 11605740692 11828928013 12033602100 12256328175 12265017525 12434722170 12662255970 12755618226 13391239260 13736819628 14039202450 14069173300 14172909140 14347756350 14507175865 14707593810 14881554597 14921666604 15208621731 16341770900 16353356700 16739049075 16847042940 16898468590 17171024535 17408611038 17716136425 18088937100 18652083255 19078916150 19842072796 20086858890 20278162308 20724536950 21010848300 21058803675 21103759950 21259363710 21968009167 22318732100 22894699380 23657856026 24512656350 24530035050 24802590995 24869444340 25324511940 25347702885 25511236452 26112916557 28078404900 28618374225 28695512700 29014351730 29415187620 29763109194 30417243462 31086805425 31655639925 31889045565 33478098150 33796937180 34342049070 34817222076 35432272850 35486784039 36768984525 37304166510 38157832300 40173717780 41449073900 42117607350 42207519900 42246171475 42518727420 43521527595 43936018334 44644663791 47315712052 49025312700 49060070100 49605181990 50217147225 50695405770 52225833114 53148409275 57236748450 58028703460 59144640065 59526218388 60834486924 62173610850 63311279850 63778091130 65904027501 66956196300 68684098140 70864545700 70973568078 72535879325 73537969050 74407772985 74608333020 76043108655 84235214700 84492342950 85855122675 87043055190 87872036668 89289327582 93260416275 99210363980 100434294450 101390811540 104451666228 106296818550 106460352117 109840045835 114473496900 118289280130 124012954975 124347221700 126622559700 126738514425 127556182260 130564582785 131808055002 141947136156 145071758650 147075938100 148815545970 152086217310 153776064169 159445227825 168984685900 171710245350 174086110380 177433920195 178578655164 186520832550 197712082503 200868588900 212593637100 212920704234 217607637975 219680091670 223223318955 236578560260 248025909950 253477028850 261129165570 263616110004 290143517300 295723200325 297631091940 304172434620 307552128338 318890455650 329520137505 343420490700 354867840390 372038864925 373041665100 380215543275 395424165006 425841408468 435215275950 439360183340 446446637910 461328192507 496051819900 506954057700 522258331140 532301760585 549200229175 591446400650 615104256676 637780911300 652822913925 659040275010 709735680780 744077729850 760431086550 768880320845 790848330012 870430551900 887169600975 892893275820 922656385014 988560412515 1064603521170 1098400458350 1116116594775 1182892801300 1305645827850 1318080550020 1383984577521 1488155459700 1520862173100 1537760641690 1647600687525 1774339201950 1845312770028 1977120825030 2129207042340 2196800916700 2232233189550 2306640962535 2611291655700 2661508802925 2767969155042 3075521283380 3295201375050 3548678403900 3844401604225 3954241650060 4464466379100 4613281925070 4942802062575 5323017605850 5535938310084 6590402750100 6919922887605 7688803208450 9226563850140 9885604125150 10646035211700 11533204812675 13839845775210 15377606416900 19771208250300 23066409625350 27679691550420 34599614438025 46132819250700 69199228876050 138398457752100
- Sum of all divisors σ(n): 562643196530688
- Sum of proper divisors (its aliquot sum) s(n): 424244738778588
- 138398457752100 is an abundant number, because the sum of its proper divisors (424244738778588) is greater than itself. Its abundance is 285846281026488
Bases of 138398457752100
- Binary: 111110111011111011001101110100101101010001001002
- Hexadecimal: 0x7DDF66E96A24
- Base-36: 1D23DGEIP0
Squares and roots of 138398457752100
- 138398457752100 squared (1383984577521002) is 19154133108159808585054410000
- 138398457752100 cubed (1383984577521003) is 2650902481747755128233875641864791761000000
-
The
square root of 138398457752100 is 11764287.3881973827 -
The
cube root of 138398457752100 is 51726.1812021233
Scales and comparisons
How big is 138398457752100?- 138,398,457,752,100 seconds is equal to 4,400,642 years, 44 weeks, 5 days, 18 hours, 15 minutes.
-
To count from 1 to 138,398,457,752,100 would take you about eleven million, one thousand, six hundred seven 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 138398457752100 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138398457752100
- 138398457752100 backwards is 001257754893831
- 138398457752100 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138398457752100's digits is 63
- More coming soon!
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"Number 138398457752100 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
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Numbermatics. (2024). Number 138398457752100 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/138398457752100/
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The information we have on file for 138398457752100 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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