1338106130212320
1,338,106,130,212,320 is an even composite number composed of five prime numbers multiplied together.
What does the number 1338106130212320 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1008 divisors.
1338106130212320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 1338106130212320:
25 × 33 × 5 × 72 × 436
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 7 × 43 × 43 × 43 × 43 × 43 × 43)See below for interesting mathematical facts about the number 1338106130212320 from the Numbermatics database.
Names of 1338106130212320
- Cardinal: 1338106130212320 can be written as One quadrillion, three hundred thirty-eight trillion, one hundred six billion, one hundred thirty million, two hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.33810613021232 × 1015
Factors of 1338106130212320
Divisors of 1338106130212320
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 43 45 48 49 54 56 60 63 70 72 80 84 86 90 96 98 105 108 112 120 126 129 135 140 144 147 160 168 172 180 189 196 210 215 216 224 240 245 252 258 270 280 288 294 301 315 336 344 360 378 387 392 420 430 432 441 480 490 504 516 540 560 588 602 630 645 672 688 720 735 756 774 784 840 860 864 882 903 945 980 1008 1032 1080 1120 1161 1176 1204 1260 1290 1323 1376 1440 1470 1505 1512 1548 1568 1680 1720 1764 1806 1849 1890 1935 1960 2016 2064 2107 2160 2205 2322 2352 2408 2520 2580 2646 2709 2940 3010 3024 3096 3360 3440 3528 3612 3698 3780 3870 3920 4128 4214 4320 4410 4515 4644 4704 4816 5040 5160 5292 5418 5547 5805 5880 6020 6048 6192 6321 6615 6880 7056 7224 7396 7560 7740 7840 8127 8428 8820 9030 9245 9288 9632 10080 10320 10535 10584 10836 11094 11610 11760 12040 12384 12642 12943 13230 13545 14112 14448 14792 15120 15480 16254 16641 16856 17640 18060 18490 18576 18963 20640 21070 21168 21672 22188 23220 23520 24080 25284 25886 26460 27090 27735 28896 29584 30240 30960 31605 32508 33282 33712 35280 36120 36980 37152 37926 38829 40635 42140 42336 43344 44376 46440 48160 49923 50568 51772 52920 54180 55470 56889 59168 61920 63210 64715 65016 66564 67424 70560 72240 73960 75852 77658 79507 81270 83205 84280 86688 88752 90601 92880 94815 99846 101136 103544 105840 108360 110940 113778 116487 126420 129430 130032 133128 144480 147920 151704 155316 159014 162540 166410 168560 177504 181202 185760 189630 194145 199692 202272 207088 211680 216720 221880 227556 232974 238521 249615 252840 258860 260064 266256 271803 284445 295840 303408 310632 318028 325080 332820 337120 349461 362404 379260 388290 397535 399384 414176 433440 443760 453005 455112 465948 477042 499230 505680 517720 532512 543606 556549 568890 582435 606816 621264 636056 650160 665640 698922 715563 724808 758520 776580 795070 798768 815409 887520 906010 910224 931896 954084 998460 1011360 1035440 1087212 1113098 1137780 1164870 1192605 1242528 1272112 1300320 1331280 1359015 1397844 1431126 1449616 1517040 1553160 1590140 1597536 1630818 1669647 1747305 1812020 1820448 1863792 1908168 1996920 2070880 2146689 2174424 2226196 2275560 2329740 2385210 2446227 2544224 2662560 2718030 2782745 2795688 2862252 2899232 3034080 3106320 3180280 3261636 3339294 3418801 3494610 3577815 3624040 3727584 3816336 3895843 3993840 4077045 4293378 4348848 4452392 4551120 4659480 4770420 4892454 5008941 5436060 5565490 5591376 5724504 6212640 6360560 6523272 6678588 6837602 6989220 7155630 7248080 7632672 7791686 7987680 8154090 8348235 8586756 8697696 8904784 9102240 9318960 9540840 9784908 10017882 10256403 10733445 10872120 11130980 11182752 11449008 11687529 12231135 12721120 13046544 13357176 13675204 13978440 14311260 14496160 15026823 15583372 16308180 16696470 17094005 17173512 17809568 18637920 19081680 19479215 19569816 20035764 20512806 21466890 21744240 22261960 22898016 23375058 23931607 24462270 25044705 26093088 26714352 27350408 27956880 28622520 30053646 30769209 31166744 32616360 33392940 34188010 34347024 35062587 38163360 38958430 39139632 40071528 41025612 42933780 43488480 44523920 46750116 47863214 48924540 50089410 51282015 53428704 54700816 55913760 57245040 58437645 60107292 61538418 62333488 65232720 66785880 68376020 68694048 70125174 71794821 75134115 77916860 78279264 80143056 82051224 85867560 89047840 92307627 93500232 95726428 97849080 100178820 102564030 105187761 109401632 114490080 116875290 119658035 120214584 123076836 124666976 130465440 133571760 136752040 140250348 143589642 147008443 150268230 153846045 155833720 160286112 164102448 167521249 171735120 175312935 184615254 187000464 191452856 195698160 200357640 205128060 210375522 215384463 233750580 239316070 240429168 246153672 267143520 273504080 280500696 287179284 294016886 300536460 307692090 311667440 328204896 335042498 343470240 350625870 358974105 369230508 374000928 382905712 391396320 400715280 410256120 420751044 430768926 441025329 461538135 467501160 478632140 480858336 492307344 502563747 525938805 547008160 561001392 574358568 588033772 601072920 615384180 623334880 646153389 670084996 701251740 717948210 735042215 738461016 765811424 801430560 820512240 837606245 841502088 861537852 882050658 923076270 935002320 957264280 984614688 1005127494 1029059101 1051877610 1076922315 1122002784 1148717136 1176067544 1202145840 1230768360 1292306778 1323075987 1340169992 1402503480 1435896420 1470084430 1476922032 1507691241 1641024480 1675212490 1683004176 1723075704 1764101316 1846152540 1870004640 1914528560 2010254988 2058118202 2103755220 2153844630 2205126645 2297434272 2352135088 2404291680 2461536720 2512818735 2584613556 2646151974 2680339984 2805006960 2871792840 2940168860 2953844064 3015382482 3087177303 3230766945 3350424980 3366008352 3446151408 3528202632 3692305080 3829057120 3969227961 4020509976 4116236404 4207510440 4307689260 4410253290 4523073723 4704270176 4923073440 5025637470 5145295505 5169227112 5292303948 5360679968 5610013920 5743585680 5880337720 6030764964 6174354606 6321363049 6461533890 6615379935 6700849960 6892302816 7056405264 7203413707 7384610160 7538456205 7938455922 8041019952 8232472808 8415020880 8615378520 8820506580 9046147446 9261531909 10051274940 10290591010 10338454224 10584607896 11487171360 11760675440 12061529928 12348709212 12642726098 12923067780 13230759870 13401699920 14112810528 14406827414 14769220320 15076912410 15435886515 15876911844 16082039904 16464945616 16830041760 17230757040 17641013160 18092294892 18523063818 18964089147 19846139805 20102549880 20581182020 20676908448 21169215792 21610241121 22615368615 23521350880 24123059856 24697418424 25285452196 25846135560 26461519740 26803399840 27784595727 28813654828 30153824820 30871773030 31606815245 31753823688 32929891232 34461514080 35282026320 36017068535 36184589784 37046127636 37928178294 39692279610 40205099760 41162364040 42338431584 43220482242 44249541343 45230737230 46307659545 48246119712 49394836848 50570904392 51692271120 52923039480 55569191454 56892267441 57627309656 60307649640 61743546060 63213630490 63507647376 64830723363 70564052640 72034137070 72369179568 74092255272 75856356588 79384559220 80410199520 82324728080 86440964484 88499082686 90461474460 92615319090 94820445735 98789673696 101141808784 103384542240 105846078960 108051205605 111138382908 113784534882 115254619312 120615299280 123487092120 126427260980 127015294752 129661446726 132748624029 138922978635 144068274140 144738359136 148184510544 151712713176 158769118440 164649456160 170676802323 172881928968 176998165372 180922948920 185230638180 189640891470 194492170089 202283617568 211692157920 216102411210 221247706715 222276765816 227569069764 230509238624 241230598560 246974184240 252854521960 259322893452 265497248058 277845957270 284461337205 288136548280 296369021088 303425426352 309746789401 317538236880 324153616815 341353604646 345763857936 353996330744 361845897840 370461276360 379281782940 388984340178 398245872087 432204822420 442495413430 444553531632 455138139528 493948368480 505709043920 518645786904 530994496116 555691914540 568922674410 576273096560 606850852704 619493578802 635076473760 648307233630 663743120145 682707209292 691527715872 707992661488 723691795680 740922552720 758563565880 777968680356 796491744174 853384011615 864409644840 884990826860 889107063264 910276279056 929240368203 972460850445 1011418087840 1037291573808 1061988992232 1111383829080 1137845348820 1152546193120 1194737616261 1238987157604 1296614467260 1327486240290 1365414418584 1415985322976 1481845105440 1517127131760 1548733947005 1555937360712 1592983488348 1706768023230 1728819289680 1769981653720 1820552558112 1858480736406 1944921700890 1991229360435 2074583147616 2123977984464 2222767658160 2275690697640 2389475232522 2477974315208 2593228934520 2654972480580 2730828837168 2787721104609 3034254263520 3097467894010 3111874721424 3185966976696 3413536046460 3457638579360 3539963307440 3716961472812 3889843401780 3982458720870 4247955968928 4445535316320 4551381395280 4646201841015 4778950465044 4955948630416 5186457869040 5309944961160 5461657674336 5575442209218 5973688081305 6194935788020 6223749442848 6371933953392 6827072092920 7079926614880 7433922945624 7779686803560 7964917441740 8363163313827 9102762790560 9292403682030 9557900930088 9911897260832 10372915738080 10619889922320 11150884418436 11947376162610 12389871576040 12743867906784 13654144185840 13938605523045 14867845891248 15559373607120 15929834883480 16726326627654 18584807364060 19115801860176 21239779844640 22301768836872 23894752325220 24779743152080 27308288371680 27877211046090 29735691782496 31118747214240 31859669766960 33452653255308 37169614728120 38231603720352 41815816569135 44603537673744 47789504650440 49559486304160 55754422092180 63719339533920 66905306510616 74339229456240 83631633138270 89207075347488 95579009300880 111508844184360 133810613021232 148678458912480 167263266276540 191158018601760 223017688368720 267621226042464 334526532553080 446035376737440 669053065106160 1338106130212320
- Sum of all divisors σ(n): 5577717899895120
- Sum of proper divisors (its aliquot sum) s(n): 4239611769682800
- 1338106130212320 is an abundant number, because the sum of its proper divisors (4239611769682800) is greater than itself. Its abundance is 2901505639470480
Bases of 1338106130212320
- Binary: 1001100000100000000000111001001000000100101111000002
- Hexadecimal: 0x4C1001C9025E0
- Base-36: D6BHGX1VC0
Squares and roots of 1338106130212320
- 1338106130212320 squared (13381061302123202) is 1790528015711790287088279782400
- 1338106130212320 cubed (13381061302123203) is 2395916514140847804723214341739089675399168000
-
The
square root of 1338106130212320 is 36580132.9988331235 -
The
cube root of 1338106130212320 is 110195.4138067961 - Being both a perfect square and a perfect cube, 1338106130212320 is also a
perfect sixth number .
Scales and comparisons
How big is 1338106130212320?- 1,338,106,130,212,320 seconds is equal to 42,547,635 years, 47 weeks, 1 day, 1 hour, 12 minutes.
-
To count from 1 to 1,338,106,130,212,320 would take you about one hundred twenty-seven million, six hundred forty-two thousand, nine 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 1338106130212320 cubic inches would be around 9183 feet tall.
Recreational maths with 1338106130212320
- 1338106130212320 backwards is 0232120316018331
- 1338106130212320 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 1338106130212320's digits is 36
- More coming soon!
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The information we have on file for 1338106130212320 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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