138505132029264
138,505,132,029,264 is an even composite number composed of six prime numbers multiplied together.
What does the number 138505132029264 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1200 divisors.
138505132029264 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred divisors.
Prime factorization of 138505132029264:
24 × 3 × 74 × 11 × 133 × 2232
(2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 7 × 11 × 13 × 13 × 13 × 223 × 223)See below for interesting mathematical facts about the number 138505132029264 from the Numbermatics database.
Names of 138505132029264
- Cardinal: 138505132029264 can be written as One hundred thirty-eight trillion, five hundred five billion, one hundred thirty-two million, twenty-nine thousand, two hundred sixty-four.
Scientific notation
- Scientific notation: 1.38505132029264 × 1014
Factors of 138505132029264
Divisors of 138505132029264
- Number of divisors d(n): 1200
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 49 52 56 66 77 78 84 88 91 98 104 112 132 143 147 154 156 168 169 176 182 196 208 223 231 264 273 286 294 308 312 336 338 343 364 392 429 446 462 507 528 539 546 572 588 616 624 637 669 676 686 728 784 858 892 924 1001 1014 1029 1078 1092 1144 1176 1183 1232 1274 1338 1352 1372 1456 1561 1617 1716 1784 1848 1859 1911 2002 2028 2058 2156 2184 2197 2288 2352 2366 2401 2453 2548 2676 2704 2744 2899 3003 3122 3234 3432 3549 3568 3696 3718 3773 3822 4004 4056 4116 4312 4368 4394 4459 4683 4732 4802 4906 5096 5352 5488 5577 5798 6006 6244 6468 6591 6864 7007 7098 7203 7359 7436 7546 7644 8008 8112 8232 8281 8624 8697 8788 8918 9366 9464 9604 9812 10192 10704 10927 11154 11319 11596 12012 12488 12936 13013 13182 13377 14014 14196 14406 14718 14872 15092 15288 15379 16016 16464 16562 17171 17394 17576 17836 18732 18928 19208 19624 20293 21021 21854 22308 22638 23192 24024 24167 24843 24976 25872 26026 26364 26411 26754 28028 28392 28812 29436 29744 30184 30576 30758 31213 31889 32781 33124 34342 34788 35152 35672 37464 37687 38416 39039 39248 40586 42042 43708 44616 45276 46137 46384 48048 48334 49049 49686 49729 51513 52052 52728 52822 53508 56056 56784 57624 57967 58872 60368 60879 61516 62426 63778 65562 66248 68684 69576 71344 72501 74928 75374 76489 78078 79233 81172 84084 87416 89232 90552 91091 92274 93639 95667 96668 98098 99372 99458 103026 104104 105456 105644 107016 107653 112112 113061 115248 115934 117744 120197 121758 123032 124852 127556 131124 132496 137368 139152 142051 145002 147147 149187 150748 152978 156156 158466 162344 168168 169169 173901 174832 181104 182182 184548 187278 191334 193336 196196 198744 198916 206052 208208 211288 214032 215306 223223 226122 229467 231868 240394 243516 246064 249704 255112 262248 263809 273273 274736 284102 290004 294294 298374 301496 305956 312312 316932 322959 324688 336336 338338 343343 347802 348103 360591 364364 369096 374556 382668 386672 392392 397488 397832 405769 412104 414557 422576 426153 430612 446446 452244 458934 463736 480788 487032 489931 499408 507507 510224 524496 527618 535423 546546 547019 568204 580008 588588 596748 602992 611912 624624 633864 637637 645918 646477 669669 676676 686686 695604 696206 721182 728728 738192 749112 753571 765336 784784 791427 795664 811538 824208 829114 841379 852306 861224 892892 904488 917868 927472 961576 974064 979862 994357 1015014 1030029 1044309 1055236 1070846 1093092 1094038 1136408 1160016 1177176 1184183 1193496 1217307 1223824 1243671 1267728 1275274 1291836 1292954 1339338 1353352 1373372 1391208 1392412 1442364 1457456 1469793 1498224 1507142 1530672 1562561 1582854 1606269 1623076 1641057 1658228 1682758 1704612 1722448 1785784 1808976 1835736 1846663 1912911 1923152 1939431 1959724 1988714 2030028 2060058 2088618 2110472 2141692 2186184 2188076 2260713 2272816 2354352 2368366 2386992 2434614 2436721 2487342 2524137 2550548 2583672 2585908 2678676 2706704 2746744 2782416 2784824 2884728 2901899 2939586 2983071 3014284 3125122 3165708 3212538 3246152 3282114 3316456 3365516 3409224 3429517 3552549 3571568 3671472 3693326 3825822 3829133 3878862 3919448 3977428 4060056 4120116 4177236 4220944 4283384 4372368 4376152 4463459 4521426 4525339 4687683 4736732 4869228 4873442 4974684 5048274 5101096 5167344 5171816 5274997 5357352 5389241 5493488 5539989 5569648 5769456 5803798 5879172 5889653 5966142 6028568 6250244 6331416 6425076 6492304 6564228 6632912 6731032 6818448 6859034 6960499 7105098 7111247 7310163 7386652 7651644 7658266 7757724 7838896 7954856 8120112 8240232 8289281 8354472 8404201 8566768 8705697 8752304 8926918 9042852 9050678 9375366 9473464 9738456 9746884 9949368 10096548 10202192 10288551 10343632 10549994 10714704 10778482 10937927 11079978 11487399 11607596 11758344 11779306 11932284 12057136 12500488 12662832 12850152 12926641 13128456 13390377 13462064 13576017 13718068 13920998 14210196 14222494 14620326 14773304 15303288 15316532 15515448 15824991 15909712 16167723 16480464 16578562 16708944 16808402 17057047 17411394 17668959 17853836 18085704 18101356 18750732 18946928 19476912 19493768 19898736 20193096 20313293 20577102 20881497 21099988 21333741 21556964 21875854 22159956 22974798 23215192 23516688 23558612 23864568 24006619 24867843 25000976 25212603 25700304 25853282 26256912 26780754 26803931 27152034 27436136 27841996 28420392 28444988 29240652 29546608 30606576 30633064 31030896 31649982 31677373 32335446 32813781 33157124 33616804 34114094 34822788 35337918 35707672 36171408 36202712 37501464 37724687 38779923 38987536 40386192 40626586 41154204 41762994 42199976 42667482 43113928 43751708 44319912 45949596 46430384 47117224 47729136 48013238 49735686 49778729 50425206 51171141 51706564 53561508 53607862 54304068 54872272 55683992 56840784 56889976 58024967 58481304 58829407 60939879 61266128 63299964 63354746 64670892 65627562 66314248 67233608 68228188 69645576 70675836 71415344 72019857 72405424 75002928 75449374 76565489 77559846 80411793 81253172 82308408 83525988 84399952 85334964 86227856 87503416 88639824 90486487 91899192 92446211 94234448 95032119 96026476 99471372 99557458 100850412 102342282 103413128 107123016 107215724 108608136 109254613 111367984 113174061 113779952 116049934 116962608 117658814 119399329 121879758 126599928 126709492 129341784 131255124 132628496 134467216 136456376 139291152 141351672 142193051 144039714 149336187 150898748 153130978 155119692 160823586 162506344 164616816 167051976 168046333 170669928 174074901 175006832 176488221 180972974 183798384 184892422 187627517 190064238 192052952 198942744 199114916 201700824 204684564 206826256 214246032 214431448 217216272 218509226 221741611 226348122 229696467 232099868 235317628 238798658 243759516 253199856 253418984 258683568 262510248 264072809 271459461 272912752 277338633 282703344 284386102 288079428 298672374 301797496 306261956 310239384 321647172 325012688 327763839 334103952 336092666 341339856 348149802 348451103 352976442 358197987 361945948 369784844 375255034 380128476 384105904 397885488 398229832 403401648 409369128 411805849 426579153 428862896 437018452 443483222 452696244 459392934 464199736 470635256 477597316 487519032 504138999 506837968 525020496 528145618 542918922 554677266 562882551 568772204 576158856 597344748 603594992 612523912 620478768 643294344 647123477 655527678 665224833 672185332 696299604 696902206 705952884 716395974 723891896 739569688 750510068 760256952 764782291 792218427 796459664 818738256 823611698 853158306 874036904 886966444 905392488 918785868 928399472 941270512 955194632 975038064 995351357 1008277998 1045353309 1056291236 1085837844 1109354532 1125765102 1137544408 1152317712 1176324331 1194689496 1201800743 1225047824 1235417547 1286588688 1294246954 1311055356 1313392619 1330449666 1344370664 1392599208 1393804412 1411905768 1432791948 1447783792 1479139376 1501020136 1520513904 1529564582 1552191277 1584436854 1647223396 1706316612 1748073808 1773932888 1810784976 1837571736 1848509663 1910389264 1941370431 1990702714 2016555996 2090706618 2112582472 2171675688 2218709064 2251530204 2275088816 2294346873 2352648662 2389378992 2403601486 2439157721 2470835094 2588493908 2622110712 2626785238 2660899332 2688741328 2785198416 2787608824 2823811536 2865583896 2882640943 2986054071 3002040272 3059129164 3104382554 3168873708 3294446792 3412633224 3528972993 3547865776 3605402229 3675143472 3697019326 3882740862 3940177857 3981405428 4033111992 4181413236 4225164944 4343351376 4437418128 4503060408 4529864339 4588693746 4656573831 4705297324 4807202972 4878315442 4941670188 5176987816 5244221424 5253570476 5321798664 5353476037 5545528989 5575217648 5731167792 5765281886 5972108142 6118258328 6208765108 6337747416 6588893584 6825266448 7057945986 7210804458 7317473163 7394038652 7765481724 7880355714 7962810856 8066223984 8362826472 8412605201 8647922829 9006120816 9059728678 9177387492 9313147662 9410594648 9614405944 9756630884 9883340376 10353975632 10507140952 10643597328 10706952074 11091057978 11530563772 11944216284 12236516656 12417530216 12675494832 12939567641 13589593017 14115891972 14421608916 14634946326 14788077304 15530963448 15760711428 15925621712 16060428111 16725652944 16825210402 17074104047 17295845658 18119457356 18354774984 18626295324 18821189296 19228811888 19513261768 19766680752 20178486601 21014281904 21413904148 22182115956 23061127544 23888432568 24835060432 25237815603 25879135282 27179186034 28231783944 28843217832 29269892652 29576154608 31061926896 31521422856 31709050373 32120856222 33650420804 34148208094 34591691316 36238914712 36709549968 37252590648 37474332259 38818702923 39026523536 40356973202 42827808296 44364231912 46122255088 47776865136 50475631206 51222312141 51758270564 54358372068 56463567888 57686435664 58539785304 58888236407 60535459803 63042845712 63418100746 64241712444 67300841608 68296416188 69183382632 72477829424 74505181296 74948664518 77637405846 80713946404 85655616592 88728463824 95127151119 100951262412 102444624282 103516541128 108716744136 112422996777 117079570608 117776472814 121070919606 126836201492 128483424888 134601683216 136592832376 138366765264 149897329036 155274811692 161427892808 176664709221 190254302238 201902524824 204889248564 207033082256 217433488272 221963352611 224845993554 235552945628 242141839212 253672402984 256966849776 262320325813 273185664752 299794658072 310549623384 322855785616 353329418442 380508604476 403805049648 409778497128 412217654849 443926705222 449691987108 471105891256 484283678424 507344805968 524640651626 599589316144 621099246768 665890057833 706658836884 761017208952 786960977439 819556994256 824435309698 887853410444 899383974216 942211782512 968567356848 1049281303252 1236652964547 1331780115666 1413317673768 1522034417904 1573921954878 1648870619396 1775706820888 1798767948432 2098562606504 2473305929094 2663560231332 2826635347536 2885523583943 3147843909756 3297741238792 3551413641776 4197125213008 4946611858188 5327120462664 5771047167886 6295687819512 6595482477584 8656570751829 9893223716376 10654240925328 11542094335772 12591375639024 17313141503658 19786447432752 23084188671544 34626283007316 46168377343088 69252566014632 138505132029264
- Sum of all divisors σ(n): 495512452048320
- Sum of proper divisors (its aliquot sum) s(n): 357007320019056
- 138505132029264 is an abundant number, because the sum of its proper divisors (357007320019056) is greater than itself. Its abundance is 218502187989792
Bases of 138505132029264
- Binary: 111110111111000001111010011000110110101010100002
- Hexadecimal: 0x7DF83D31B550
- Base-36: 1D3GDNIHQO
Squares and roots of 138505132029264
- 138505132029264 squared (1385051320292642) is 19183671598443852366552381696
- 138505132029264 cubed (1385051320292643) is 2657036967548507732274710907373652769951744
-
The
square root of 138505132029264 is 11768820.3329502825 -
The
cube root of 138505132029264 is 51739.4675638583
Scales and comparisons
How big is 138505132029264?- 138,505,132,029,264 seconds is equal to 4,404,034 years, 40 weeks, 1 day, 17 hours, 54 minutes, 24 seconds.
-
To count from 1 to 138,505,132,029,264 would take you about eleven million, ten thousand and eighty-six 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 138505132029264 cubic inches would be around 4311.6 feet tall.
Recreational maths with 138505132029264
- 138505132029264 backwards is 462920231505831
- The number of decimal digits it has is: 15
- The sum of 138505132029264's digits is 51
- More coming soon!
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"Number 138505132029264 - Facts about the integer". Numbermatics.com. 2024. Web. 15 June 2024.
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The information we have on file for 138505132029264 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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