138042670048560
138,042,670,048,560 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138042670048560 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 1280 divisors.
138042670048560 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, two hundred eighty divisors.
Prime factorization of 138042670048560:
24 × 33 × 5 × 17 × 29 × 61 × 449 × 4733
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 29 × 61 × 449 × 4733)See below for interesting mathematical facts about the number 138042670048560 from the Numbermatics database.
Names of 138042670048560
- Cardinal: 138042670048560 can be written as One hundred thirty-eight trillion, forty-two billion, six hundred seventy million, forty-eight thousand, five hundred sixty.
Scientific notation
- Scientific notation: 1.3804267004856 × 1014
Factors of 138042670048560
Divisors of 138042670048560
- Number of divisors d(n): 1280
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 29 30 34 36 40 45 48 51 54 58 60 61 68 72 80 85 87 90 102 108 116 120 122 135 136 144 145 153 170 174 180 183 204 216 232 240 244 255 261 270 272 290 305 306 340 348 360 366 408 432 435 449 459 464 488 493 510 522 540 549 580 610 612 680 696 720 732 765 783 816 870 898 915 918 976 986 1020 1037 1044 1080 1098 1160 1220 1224 1305 1347 1360 1392 1464 1479 1530 1566 1647 1740 1769 1796 1830 1836 1972 2040 2074 2088 2160 2196 2245 2295 2320 2440 2448 2465 2610 2694 2745 2928 2958 3060 3111 3132 3294 3480 3538 3592 3660 3672 3915 3944 4041 4080 4148 4176 4392 4437 4490 4590 4733 4880 4930 5185 5220 5307 5388 5490 5916 6120 6222 6264 6588 6735 6960 7076 7184 7320 7344 7395 7633 7830 7888 8082 8235 8296 8784 8845 8874 8980 9180 9333 9466 9860 10370 10440 10614 10776 10980 11832 12123 12240 12444 12528 13021 13176 13311 13470 14152 14199 14640 14790 15266 15555 15660 15921 16164 16470 16592 17690 17748 17960 18360 18666 18932 19720 20205 20740 20880 21228 21552 21960 22185 22899 23664 23665 24246 24888 26042 26352 26535 26622 26940 27389 27999 28304 28398 29580 30073 30532 31110 31320 31842 32328 32940 35380 35496 35920 36720 37332 37864 38165 39063 39440 40410 41480 42456 42597 43920 44370 45798 46665 47330 47763 48492 49776 52084 53070 53244 53880 54778 55998 56796 59160 60146 60615 61064 62220 62640 63684 64656 65105 65880 66555 68697 70760 70992 70995 74664 75728 76330 78126 79605 80461 80820 82167 82960 84912 85194 88740 90219 91596 93330 94660 95526 96984 104168 106140 106488 107760 109556 111996 113592 114495 117189 118320 120292 121230 122128 124440 127368 127791 130210 131760 133110 136945 137257 137394 139995 141520 141990 149328 150365 152660 156252 159210 160922 161640 164334 170388 177480 180438 183192 186660 189320 191052 193968 195315 206091 208336 212280 212976 212985 219112 221357 223992 227184 228990 234378 238815 240584 241383 242460 246501 248880 254736 255582 260420 266220 270657 273890 274514 274788 279990 283980 288713 300730 305320 312504 318420 321844 323280 328668 340776 343485 351567 354960 360876 366384 373320 378640 382104 390630 402305 410835 411771 412182 424560 425970 438224 442714 447984 451095 457980 465613 468756 477630 481168 482766 484920 493002 511164 520840 532440 541314 547780 549028 549576 559980 567960 577426 585945 601460 610640 625008 636840 638955 643688 657336 664071 681552 686285 686970 703134 721752 724149 739503 746640 764208 781260 794281 804610 811971 821670 823542 824364 851940 866139 885428 902190 915960 931226 937512 955260 965532 969840 986004 1022328 1030455 1041680 1064880 1082628 1095560 1098056 1099152 1106785 1119960 1135920 1154852 1171890 1202920 1206915 1232505 1235313 1273680 1277910 1287376 1314672 1328142 1353285 1372570 1373940 1396839 1406268 1443504 1443565 1448298 1479006 1562520 1588562 1609220 1623942 1643340 1647084 1648728 1703880 1732278 1757835 1770856 1804380 1831920 1862452 1875024 1910520 1931064 1972008 1992213 2044656 2058855 2060910 2125117 2165256 2172447 2191120 2196112 2213570 2239920 2309704 2328065 2333369 2343780 2382843 2405840 2413830 2465010 2470626 2555820 2598417 2656284 2706570 2745140 2747880 2793678 2812536 2887130 2896596 2958012 3125040 3177124 3218440 3247884 3286680 3294168 3297456 3320355 3407760 3464556 3515670 3541712 3608760 3620745 3697515 3705939 3724904 3821040 3862128 3944016 3971405 3984426 4059855 4117710 4121820 4190517 4250234 4330512 4330695 4344894 4427140 4619408 4656130 4666738 4687560 4765686 4827660 4908121 4930020 4941252 5111640 5196834 5312568 5413140 5490280 5495760 5587356 5625072 5774260 5793192 5916024 5976639 6176565 6354248 6375351 6436880 6495768 6573360 6588336 6640710 6929112 6984195 7000107 7031340 7148529 7217520 7241490 7395030 7411878 7449808 7795251 7942810 7968852 8119710 8235420 8243640 8372677 8381034 8500468 8661390 8689788 8854280 9312260 9333476 9375120 9531372 9655320 9816242 9860040 9882504 9961065 10223280 10393668 10625136 10625585 10826280 10862235 10980560 11174712 11548520 11586384 11666845 11832048 11914215 11953278 12353130 12571551 12708496 12750702 12991536 12992085 13281420 13502777 13858224 13968390 14000214 14062680 14297058 14482980 14724363 14790060 14823756 15590502 15885620 15937704 16239420 16470840 16487280 16745354 16762068 17000936 17322780 17379576 17708560 18529695 18624520 18666952 19062744 19126053 19310640 19632484 19720080 19765008 19922130 20787336 20952585 21000321 21251170 21445587 21652560 21724470 22349424 23097040 23333690 23828430 23906556 24540605 24706260 25118031 25143102 25501404 25984170 26562840 27005554 27936780 28000428 28125360 28594116 28965960 29448726 29580120 29647512 29883195 31181004 31771240 31875408 31876755 32478840 32941680 33490708 33524136 34001872 34645560 34759152 35000535 35742645 36126989 37059390 37249040 37333904 38125488 38252106 38976255 39264968 39844260 40508331 41574672 41863385 41905170 42000642 42502340 42891174 43448940 44173089 46667380 47656860 47813112 49081210 49412520 50236062 50286204 51002808 51968340 53125680 54011108 55873560 56000856 57188232 57378159 57931920 58897452 59160240 59295024 59766390 61628393 62362008 62857755 63000963 63542480 63753510 64957680 66981416 67048272 67513885 69291120 70001070 71485290 72253978 73621815 74118780 75354093 76504212 77952510 78529936 79688520 81016662 83726770 83810340 84001284 85004680 85782348 86897880 88346178 93334760 95313720 95626224 95630265 98162420 98825040 100472124 100572408 102005616 103936680 105001605 107227935 108022216 108380967 111747120 112001712 114376464 114756318 117794904 119532780 121524993 123256786 124724016 125590155 125715510 126001926 127507020 129632137 132519267 133962832 135027770 140002140 142335509 142970580 144507956 147243630 148237560 150708186 153008424 155905020 159377040 162033324 167453540 167620680 168002568 170009360 171564696 173795760 176692356 180634945 184885179 186669520 190627440 191260530 196324840 200944248 201144816 202541655 207873360 210003210 214455870 216044432 216761934 220865445 226062279 229512636 235589808 239065560 243049986 246513572 251180310 251431020 252003852 255014040 259264274 265038534 270055540 280004280 284671018 285941160 286890795 289015912 294487260 296475120 301416372 306016848 308141965 311810040 315004815 324066648 325142901 334907080 335241360 336005136 343129392 353384712 361269890 364574979 369770358 376770465 382521060 388896411 392649680 401888496 405083310 420006420 427006527 428911740 433523868 441730890 452124558 459025272 478131120 486099972 493027144 502360620 502862040 504007704 510028080 518528548 530077068 540111080 541904835 554655537 560008560 569342036 571882320 573781590 578031824 588974520 602832744 607624965 616283930 623620080 630009630 648133296 648160685 650285802 662596335 669814160 706769424 711677545 722539780 729149958 739540716 753540930 765042120 777792822 810166620 840012840 854013054 857823480 867047736 883461780 904249116 918050544 924425895 972199944 975428703 986054288 1004721240 1005724080 1008015408 1037057096 1047682681 1060154136 1080222160 1083809670 1109311074 1130311395 1138684072 1147563180 1166689233 1177949040 1205665488 1215249930 1232567860 1260019260 1281019581 1296321370 1300571604 1325192670 1423355090 1445079560 1458299916 1479081432 1507081860 1530084240 1555585644 1620333240 1625714505 1663966611 1680025680 1708026108 1715646960 1734095472 1766923560 1808498232 1822874895 1848851790 1944399888 1944482055 1950857406 2009442480 2074114192 2095365362 2120308272 2135032635 2167619340 2203746329 2218622148 2260622790 2277368144 2295126360 2333378466 2430499860 2465135720 2520038520 2562039162 2592642740 2601143208 2650385340 2773277685 2846710180 2890159120 2916599832 2958162864 3014163720 3111171288 3143048043 3240666480 3251429010 3327933222 3416052216 3500067699 3533847120 3616996464 3645749790 3697703580 3759331973 3843058743 3888964110 3901714812 4190730724 4270065270 4335238680 4407492658 4437244296 4521245580 4590252720 4666756932 4860999720 4877143515 4930271440 5040077040 5124078324 5185285480 5202286416 5238413405 5300770680 5546555370 5693420360 5833199664 5833446165 6028327440 6222342576 6286096086 6405097905 6502858020 6611238987 6655866444 6832104432 7000135398 7291499580 7395407160 7518663946 7686117486 7777928220 7803429624 8319833055 8381461448 8540130540 8670477360 8814985316 8874488592 9042491160 9333513864 9429144129 9721999440 9754287030 10248156648 10370570960 10476826810 10601541360 11018731645 11093110740 11277995919 11386840720 11666892330 12572192172 12810195810 13005716040 13222477974 13311732888 14000270796 14582999160 14790814320 15037327892 15372234972 15555856440 15606859248 15715240215 16639666110 16762922896 17080261080 17500338495 17629970632 18084982320 18667027728 18796659865 18858288258 19215293715 19508574060 19833716961 20496313296 20953653620 22037463290 22186221480 22555991838 23333784660 25144384344 25620391620 26011432080 26444955948 26623465776 28000541592 28287432387 29165998320 30074655784 30744469944 31111712880 31430480430 33056194935 33279332220 33833987757 34160522160 35000676990 35259941264 37593319730 37716576516 38430587430 39017148120 39667433922 41907307240 44074926580 44372442960 45111983676 46667569320 47145720645 50288768688 51240783240 52889911896 56001083184 56389979595 56574864774 59501150883 60149311568 61488939888 62860960860 63908643541 66112389870 66558664440 67667975514 70001353980 75186639460 75433153032 76861174860 78034296240 79334867844 83814614480 88149853160 90223967352 93335138640 94291441290 99168584805 101501963271 102481566480 105779823792 112779959190 113149729548 119002301766 125721921720 127817287082 132224779740 133117328880 135335951028 140002707960 141437161935 150373278920 150866306064 153722349720 158669735688 169169938785 176299706320 180447934704 188582882580 191725930623 198337169610 203003926542 225559918380 226299459096 238004603532 251443843440 255634574164 264449559480 270671902056 280005415920 282874323870 297505754415 300746557840 307444699440 317339471376 319543217705 338339877570 377165765160 383451861246 396674339220 406007853084 451119836760 452598918192 476009207064 507509816355 511269148328 528899118960 541343804112 565748647740 575177791869 595011508830 639086435410 676679755140 754331530320 766903722492 793348678440 812015706168 902239673520 952018414128 958629653115 1015019632710 1022538296656 1131497295480 1150355583738 1190023017660 1278172870820 1353359510280 1533807444984 1586697356880 1624031412336 1725533375607 1917259306230 2030039265420 2262994590960 2300711167476 2380046035320 2556345741640 2706719020560 2875888959345 3067614889968 3451066751214 3834518612460 4060078530840 4601422334952 4760092070640 5112691483280 5751777918690 6902133502428 7669037224920 8120157061680 8627666878035 9202844669904 11503555837380 13804267004856 15338074449840 17255333756070 23007111674760 27608534009712 34510667512140 46014223349520 69021335024280 138042670048560
- Sum of all divisors σ(n): 530638983360000
- Sum of proper divisors (its aliquot sum) s(n): 392596313311440
- 138042670048560 is an abundant number, because the sum of its proper divisors (392596313311440) is greater than itself. Its abundance is 254553643262880
Bases of 138042670048560
- Binary: 111110110001100100100000100111111100101001100002
- Hexadecimal: 0x7D8C904FE530
- Base-36: 1CXJXDL9O0
Squares and roots of 138042670048560
- 138042670048560 squared (1380426700485602) is 19055778754135604112758073600
- 138042670048560 cubed (1380426700485603) is 2630510579075500950088930479516044054016000
-
The
square root of 138042670048560 is 11749156.1419771759 -
The
cube root of 138042670048560 is 51681.8181545929
Scales and comparisons
How big is 138042670048560?- 138,042,670,048,560 seconds is equal to 4,389,329 years, 47 weeks, 3 days, 12 hours, 36 minutes.
-
To count from 1 to 138,042,670,048,560 would take you about ten million, nine hundred seventy-three thousand, three hundred twenty-four 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 138042670048560 cubic inches would be around 4306.8 feet tall.
Recreational maths with 138042670048560
- 138042670048560 backwards is 065840076240831
- 138042670048560 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138042670048560's digits is 54
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138042670048560 - Facts about the integer". Numbermatics.com. 2024. Web. 31 May 2024.
APA style:
Numbermatics. (2024). Number 138042670048560 - Facts about the integer. Retrieved 31 May 2024, from https://numbermatics.com/n/138042670048560/
Chicago style:
Numbermatics. 2024. "Number 138042670048560 - Facts about the integer". https://numbermatics.com/n/138042670048560/
The information we have on file for 138042670048560 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!
Keywords: Divisors of 138042670048560, math, Factors of 138042670048560, curriculum, school, college, exams, university, Prime factorization of 138042670048560, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, forty-two billion, six hundred seventy million, forty-eight thousand, five hundred sixty.