138301379527680
138,301,379,527,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138301379527680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1056 divisors.
138301379527680 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 138301379527680:
210 × 33 × 5 × 1372 × 151 × 353
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 137 × 137 × 151 × 353)See below for interesting mathematical facts about the number 138301379527680 from the Numbermatics database.
Names of 138301379527680
- Cardinal: 138301379527680 can be written as One hundred thirty-eight trillion, three hundred one billion, three hundred seventy-nine million, five hundred twenty-seven thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3830137952768 × 1014
Factors of 138301379527680
Divisors of 138301379527680
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 137 144 151 160 180 192 216 240 256 270 274 288 302 320 353 360 384 411 432 453 480 512 540 548 576 604 640 685 706 720 755 768 822 864 906 960 1024 1059 1080 1096 1152 1208 1233 1280 1359 1370 1412 1440 1510 1536 1644 1728 1765 1812 1920 2055 2118 2160 2192 2265 2304 2416 2466 2560 2718 2740 2824 2880 3020 3072 3177 3288 3456 3530 3624 3699 3840 4077 4110 4236 4320 4384 4530 4608 4832 4932 5120 5295 5436 5480 5648 5760 6040 6165 6354 6576 6795 6912 7060 7248 7398 7680 8154 8220 8472 8640 8768 9060 9216 9531 9664 9864 10590 10872 10960 11296 11520 12080 12330 12708 13152 13590 13824 14120 14496 14796 15360 15885 16308 16440 16944 17280 17536 18120 18495 18769 19062 19328 19728 20385 20687 21180 21744 21920 22592 23040 24160 24660 25416 26304 27180 27648 28240 28992 29592 31770 32616 32880 33888 34560 35072 36240 36990 37538 38124 38656 39456 40770 41374 42360 43488 43840 45184 46080 47655 48320 48361 49320 50832 52608 53303 54360 56307 56480 57984 59184 62061 63540 65232 65760 67776 69120 70144 72480 73980 75076 76248 77312 78912 81540 82748 84720 86976 87680 90368 93845 95310 96640 96722 98640 101664 103435 105216 106606 108720 112614 112960 115968 118368 124122 127080 130464 131520 135552 138240 140288 144960 145083 147960 150152 152496 154624 157824 159909 163080 165496 168921 169440 173952 175360 180736 186183 187690 190620 193280 193444 197280 203328 206870 210432 213212 217440 225228 225920 231936 236736 241805 248244 254160 260928 263040 266515 271104 281535 289920 290166 295920 300304 304992 310305 315648 319818 326160 330992 337842 338880 347904 350720 361472 372366 375380 381240 386560 386888 394560 406656 413740 420864 426424 434880 435249 450456 451840 463872 473472 479727 483610 496488 506763 508320 521856 526080 533030 542208 558549 563070 579840 580332 591840 600608 609984 620610 631296 639636 652320 661984 675684 677760 695808 701440 725415 744732 750760 762480 773120 773776 789120 799545 813312 827480 844605 852848 869760 870498 900912 903680 930915 946944 959454 967220 992976 1013526 1016640 1043712 1052160 1066060 1084416 1117098 1126140 1159680 1160664 1183680 1201216 1219968 1241220 1262592 1279272 1304640 1305747 1323968 1351368 1355520 1391616 1439181 1450830 1489464 1501520 1524960 1547552 1578240 1599090 1626624 1654960 1689210 1705696 1739520 1740996 1801824 1807360 1861830 1893888 1918908 1934440 1985952 2027052 2033280 2087424 2104320 2132120 2176245 2234196 2252280 2319360 2321328 2367360 2398635 2402432 2439936 2482440 2533815 2558544 2609280 2611494 2647936 2702736 2711040 2792745 2834119 2878362 2901660 2978928 3003040 3049920 3095104 3156480 3198180 3253248 3309920 3378420 3411392 3479040 3481992 3603648 3723660 3787776 3837816 3868880 3971904 4054104 4066560 4174848 4264240 4352490 4468392 4504560 4642656 4734720 4797270 4804864 4879872 4964880 5067630 5117088 5218560 5222988 5295872 5405472 5422080 5585490 5668238 5756724 5803320 5957856 6006080 6099840 6190208 6312960 6396360 6528735 6619840 6625457 6756840 6822784 6958080 6963984 7195905 7207296 7302511 7447320 7675632 7737760 7943808 8108208 8133120 8502357 8528480 8704980 8936784 9009120 9285312 9469440 9594540 9609728 9759744 9929760 10135260 10234176 10437120 10445976 10591744 10810944 11170980 11336476 11513448 11606640 11915712 12012160 12199680 12380416 12792720 13057470 13239680 13250914 13513680 13645568 13927968 14170595 14391810 14414592 14605022 14894640 15351264 15475520 15887616 16216416 16266240 17004714 17056960 17409960 17873568 18018240 18570624 18938880 19189080 19219456 19859520 19876371 20270520 20468352 20874240 20891952 21183488 21621888 21907533 22341960 22672952 23026896 23213280 23831424 24024320 24399360 24760832 25507071 25585440 26114940 26479360 26501828 27027360 27291136 27855936 28341190 28783620 28829184 29210044 29789280 30702528 30951040 31775232 32432832 33127285 34009428 34113920 34819920 35747136 36036480 36512555 37141248 38378160 39719040 39752742 40541040 40936704 41783904 42511785 43243776 43815066 44683920 45345904 46053792 46426560 47662848 48048640 48798720 49521664 51014142 51170880 52229880 52958720 53003656 54054720 54582272 55711872 56682380 57567240 57658368 58420088 59578560 59629113 61405056 61902080 63550464 64865664 65722599 66254570 68018856 68227840 69639840 71494272 72072960 73025110 74282496 76521213 76756320 79438080 79505484 81082080 81873408 83567808 85023570 86487552 87630132 89367840 90691808 92107584 92853120 95325696 96097280 99381855 102028284 102341760 104459760 105917440 106007312 108109440 109537665 111423744 113364760 115134480 116840176 119157120 119258226 122810112 123804160 127535355 129731328 131445198 132509140 136037712 136455680 139279680 142988544 144145920 146050220 148564992 153042426 153512640 158876160 159010968 162164160 163746816 167135616 170047140 172975104 175260264 178735680 178887339 181383616 184215168 185706240 190651392 197167797 198763710 204056568 204683520 208919520 212014624 216218880 219075330 222847488 226729520 230268960 233680352 238314240 238516452 245620224 247608320 255070710 259462656 262890396 265018280 272075424 272911360 278559360 285977088 288291840 292100440 298145565 306084852 307025280 317752320 318021936 324328320 328612995 334271232 340094280 350520528 357471360 357774678 362767232 368430336 371412480 382606065 394335594 397527420 408113136 409367040 417839040 424029248 432437760 438150660 445694976 453459040 460537920 467360704 476628480 477032904 491240448 510141420 518925312 525780792 530036560 544150848 557118720 571954176 584200880 596291130 612169704 614050560 636043872 648656640 657225990 668542464 680188560 701041056 714942720 715549356 725534464 736860672 742824960 765212130 788671188 795054840 816226272 818734080 835678080 848058496 864875520 876301320 894436695 906918080 921075840 934721408 953256960 954065808 985838985 1000444007 1020282840 1051561584 1060073120 1088301696 1114237440 1168401760 1192582260 1224339408 1228101120 1272087744 1297313280 1314451980 1337084928 1360377120 1402082112 1429885440 1431098712 1451068928 1473721344 1530424260 1577342376 1590109680 1632452544 1671356160 1696116992 1752602640 1788873390 1813836160 1842151680 1869442816 1908131616 1971677970 2000888014 2040565680 2103123168 2120146240 2176603392 2228474880 2336803520 2385164520 2448678816 2456202240 2544175488 2594626560 2628903960 2720754240 2804164224 2859770880 2862197424 2902137856 3001332021 3060848520 3154684752 3180219360 3264905088 3342712320 3392233984 3505205280 3577746780 3627672320 3684303360 3738885632 3816263232 3943355940 4001776028 4081131360 4206246336 4240292480 4353206784 4673607040 4770329040 4897357632 5002220035 5088350976 5257807920 5441508480 5608328448 5724394848 6002664042 6121697040 6309369504 6360438720 6529810176 6685424640 6784467968 7010410560 7155493560 7255344640 7368606720 7477771264 7632526464 7886711880 8003552056 8162262720 8412492672 8480584960 8706413568 9003996063 9347214080 9540658080 9794715264 10004440070 10176701952 10515615840 10883016960 11216656896 11448789696 12005328084 12243394080 12618739008 12720877440 13059620352 14020821120 14310987120 14510689280 15006660105 15265052928 15773423760 16007104112 16324525440 16824985344 16961169920 18007992126 18694428160 19081316160 19589430528 20008880140 20353403904 21031231680 21766033920 22433313792 22897579392 24010656168 24486788160 25237478016 25441754880 26119240704 27011988189 28041642240 28621974240 30013320210 30530105856 31546847520 32014208224 32649050880 33649970688 33922339840 36015984252 37388856320 38162632320 39178861056 40017760280 42062463360 43532067840 45019980315 45795158784 48021312336 48973576320 50474956032 50883509760 54023976378 56083284480 57243948480 60026640420 61060211712 63093695040 64028416448 65298101760 67299941376 72031968504 76325264640 78357722112 80035520560 84124926720 90039960630 91590317568 96042624672 97947152640 100949912064 101767019520 108047952756 112166568960 114487896960 120053280840 126187390080 128056832896 130596203520 135059940945 144063937008 152650529280 160071041120 168249853440 180079921260 183180635136 192085249344 195894305280 201899824128 216095905512 228975793920 240106561680 252374780160 256113665792 270119881890 288127874016 305301058560 320142082240 336499706880 360159842520 384170498688 391788610560 432191811024 457951587840 480213123360 504749560320 512227331584 540239763780 576255748032 640284164480 720319685040 768340997376 864383622048 915903175680 960426246720 1009499120640 1024454663168 1080479527560 1152511496064 1280568328960 1440639370080 1536681994752 1728767244096 1920852493440 2160959055120 2305022992128 2561136657920 2881278740160 3073363989504 3457534488192 3841704986880 4321918110240 4610045984256 5122273315840 5762557480320 6915068976384 7683409973760 8643836220480 9220091968512 11525114960640 13830137952768 15366819947520 17287672440960 23050229921280 27660275905536 34575344881920 46100459842560 69150689763840 138301379527680
- Sum of all divisors σ(n): 499802654695680
- Sum of proper divisors (its aliquot sum) s(n): 361501275168000
- 138301379527680 is an abundant number, because the sum of its proper divisors (361501275168000) is greater than itself. Its abundance is 223199895640320
Bases of 138301379527680
- Binary: 111110111001000110011001001100101000100000000002
- Hexadecimal: 0x7DC8CC994400
- Base-36: 1D0URYJ9C0
Squares and roots of 138301379527680
- 138301379527680 squared (1383013795276802) is 19127271579259384619886182400
- 138301379527680 cubed (1383013795276803) is 2645328046012159358565241925187070328832000
-
The
square root of 138301379527680 is 11760160.6931061959 -
The
cube root of 138301379527680 is 51714.0841010985
Scales and comparisons
How big is 138301379527680?- 138,301,379,527,680 seconds is equal to 4,397,556 years, 3 weeks, 6 days, 4 hours, 48 minutes.
-
To count from 1 to 138,301,379,527,680 would take you about ten million, nine hundred ninety-three thousand, eight hundred ninety 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 138301379527680 cubic inches would be around 4309.5 feet tall.
Recreational maths with 138301379527680
- 138301379527680 backwards is 086725973103831
- The number of decimal digits it has is: 15
- The sum of 138301379527680's digits is 63
- More coming soon!
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The information we have on file for 138301379527680 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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