138034424024640
138,034,424,024,640 is an even composite number composed of eight prime numbers multiplied together.
What does the number 138034424024640 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 2016 divisors.
138034424024640 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of two thousand and sixteen divisors.
Prime factorization of 138034424024640:
26 × 32 × 5 × 112 × 13 × 61 × 457 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 13 × 61 × 457 × 1093)See below for interesting mathematical facts about the number 138034424024640 from the Numbermatics database.
Names of 138034424024640
- Cardinal: 138034424024640 can be written as One hundred thirty-eight trillion, thirty-four billion, four hundred twenty-four million, twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 1.3803442402464 × 1014
Factors of 138034424024640
Divisors of 138034424024640
- Number of divisors d(n): 2016
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 26 30 32 33 36 39 40 44 45 48 52 55 60 61 64 65 66 72 78 80 88 90 96 99 104 110 117 120 121 122 130 132 143 144 156 160 165 176 180 183 192 195 198 208 220 234 240 242 244 260 264 286 288 305 312 320 330 352 360 363 366 390 396 416 429 440 457 468 480 484 488 495 520 528 549 572 576 585 605 610 624 660 671 704 715 720 726 732 780 792 793 832 858 880 914 915 936 960 968 976 990 1040 1056 1089 1093 1098 1144 1170 1210 1220 1248 1287 1320 1342 1371 1430 1440 1452 1464 1560 1573 1584 1586 1716 1760 1815 1828 1830 1872 1936 1952 1980 2013 2080 2112 2145 2178 2186 2196 2285 2288 2340 2379 2420 2440 2496 2574 2640 2684 2742 2745 2860 2880 2904 2928 3120 3146 3168 3172 3279 3355 3432 3520 3630 3656 3660 3744 3872 3904 3960 3965 4026 4113 4160 4290 4356 4372 4392 4570 4576 4680 4719 4758 4840 4880 5027 5148 5280 5368 5445 5465 5484 5490 5720 5808 5856 5941 6039 6240 6292 6336 6344 6435 6558 6710 6855 6864 7137 7260 7312 7320 7381 7488 7744 7865 7920 7930 8052 8226 8580 8712 8723 8744 8784 9140 9152 9360 9438 9516 9680 9760 9837 10054 10065 10296 10560 10736 10890 10930 10968 10980 11440 11616 11712 11882 11895 12023 12078 12480 12584 12688 12870 13116 13420 13710 13728 14157 14209 14274 14520 14624 14640 14762 15081 15730 15840 15860 16104 16395 16452 17160 17424 17446 17488 17568 17823 18280 18720 18876 19032 19360 19520 19674 20108 20130 20565 20592 21472 21780 21860 21936 21960 22143 22880 23232 23595 23764 23790 24046 24156 25135 25168 25376 25740 26169 26232 26840 27420 27456 27877 28314 28418 28548 29040 29248 29280 29524 29705 30162 30195 31460 31680 31720 32208 32790 32904 34320 34848 34892 34976 35136 35646 35685 36069 36560 36905 37440 37752 38064 38720 39348 40216 40260 41130 41184 42627 42944 43560 43615 43720 43872 43920 44286 45243 45760 47190 47528 47580 48092 48312 49185 50270 50336 50752 51480 52338 52464 53469 53680 54840 55297 55754 56628 56836 57096 58080 58560 59048 59410 60115 60324 60390 62920 63440 64416 65351 65580 65808 66429 66673 68640 69696 69784 69952 70785 71045 71292 71370 72138 73120 73810 75405 75504 76128 78507 78696 80432 80520 82260 82368 83631 85254 87120 87230 87440 87744 87840 88572 89115 90486 94380 95056 95160 95953 96184 96624 98370 100540 100672 102960 104676 104928 106938 107360 108207 109680 110594 110715 111508 113256 113672 114192 116160 118096 118820 120230 120648 120780 125840 126880 127881 128832 130702 130845 131160 131616 132253 132858 133346 137280 139385 139568 141570 142090 142584 142740 144276 146240 147620 150810 151008 152256 156299 157014 157392 160864 161040 164520 165891 167262 170508 174240 174460 174880 175680 177144 178230 180345 180972 188760 190112 190320 191906 192368 193248 196053 196740 200019 201080 205920 209352 209856 213135 213876 214720 216414 219360 221188 221430 223016 226215 226512 227344 228384 236192 237640 240460 241296 241560 250893 251680 253760 255762 261404 261690 262320 263232 264506 265716 266692 267345 276485 278770 279136 283140 284180 285168 285480 287859 288552 295240 301620 302016 306647 312598 314028 314784 321728 322080 326755 329040 331782 332145 333365 334524 341016 348480 348920 349760 354288 356460 360690 361944 362401 377520 380224 380640 383812 384736 386496 392106 392535 393480 396759 400038 402160 411840 418155 418704 426270 427752 432828 438720 442376 442860 446032 452430 453024 454688 456768 468897 472384 475280 479765 480920 482592 483120 497673 499501 501786 503360 511524 522808 523380 524640 529012 531432 533384 534690 541035 552970 557540 558272 566280 568360 570336 570960 575718 577104 588159 590480 600057 603240 613294 625196 628056 629568 639405 644160 653510 658080 661265 663564 664290 666730 669048 682032 697840 708576 712920 718861 721380 723888 724802 733403 755040 761280 767624 769472 781495 784212 785070 786960 793518 800076 804320 829455 836310 837408 852540 855504 863577 865656 866749 884752 885720 892064 904860 906048 909376 919941 937794 950560 959530 961840 965184 966240 980265 995346 999002 1000095 1003572 1023048 1045616 1046760 1049280 1058024 1062864 1066768 1069380 1082070 1087203 1105940 1115080 1132560 1136720 1140672 1141920 1151436 1154208 1176318 1180960 1190277 1200114 1206480 1226588 1250392 1254465 1256112 1278810 1307020 1316160 1322530 1327128 1328580 1333460 1338096 1364064 1395680 1406691 1417152 1425840 1437722 1439295 1442760 1447776 1449604 1466806 1498503 1510080 1533235 1535248 1562990 1568424 1570140 1573920 1587036 1600152 1608640 1658910 1672620 1674816 1705080 1711008 1719289 1727154 1731312 1733498 1769504 1771440 1784128 1809720 1812005 1839882 1875588 1901120 1919060 1923680 1932480 1960530 1983795 1990692 1998004 2000190 2007144 2046096 2091232 2093520 2116048 2125728 2133536 2138760 2156583 2164140 2174406 2200209 2211880 2230160 2265120 2273440 2283840 2302872 2308416 2344485 2352636 2361920 2380554 2400228 2412960 2453176 2488365 2497505 2500784 2508930 2512224 2557620 2600247 2614040 2645060 2654256 2657160 2666920 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12585195480 12628950048 12675337376 12857155740 13071441669 13406606840 13714299456 13729304160 14032166720 14142871314 14259754548 14505509040 14625389280 14747267524 15082432695 15102234576 15714301460 15786187560 15824191680 15844171720 16087928208 16780260640 17142874320 17406610848 17428588892 17550467136 17824693185 18434084405 18701317440 18857161752 18877793220 19013006064 19340678720 20109910260 20136312768 20571449184 21048250080 21450570944 21758263560 21785736115 21938083920 22120901286 22857165760 23234207040 23571452190 23766257580 24131892312 25142882336 25170390960 25257900096 25350674752 25714311480 26142883338 26813213680 27458608320 28285742628 28519509096 29011018080 29250778560 29494535048 30164865390 30204469152 31428602920 31572375120 31688343440 32175856416 33181351929 33560521280 34285748640 34813221696 34857177784 35357178285 35649386370 36868168810 37714323504 37755586440 38026012128 39214325007 40219820520 41142898368 42096500160 43516527120 43571472230 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239643097265 241318923120 251428823360 261428833380 265450815432 278857422272 282857426280 285195090960 287571716718 294945350480 302044691520 313714600056 321758564160 331813519290 348571777840 353934420576 377143235040 380260121280 383428955624 392143250070 418286133408 431357575077 442418025720 452571882048 479286194530 482637846240 522857666760 530901630864 565714852560 570390181920 575143433436 589890700960 627429200112 663627038580 697143555680 707868841152 718929291795 754286470080 766857911248 784286500140 836572266816 862715150154 884836051440 958572389060 965275692480 1045715333520 1061803261728 1131429705120 1140780363840 1150286866872 1179781401920 1254858400224 1327254077160 1394287111360 1437858583590 1533715822496 1568573000280 1725430300308 1769672102880 1917144778120 2091430667040 2123606523456 2156787875385 2262859410240 2300573733744 2509716800448 2654508154320 2875717167180 3067431644992 3137146000560 3450860600616 3539344205760 3834289556240 4182861334080 4313575750770 4601147467488 5309016308640 5751434334360 6274292001120 6901721201232 7668579112480 8627151501540 9202294934976 10618032617280 11502868668720 12548584002240 13803442402464 15337158224960 17254303003080 23005737337440 27606884804928 34508606006160 46011474674880 69017212012320 138034424024640
- Sum of all divisors σ(n): 572997186853728
- Sum of proper divisors (its aliquot sum) s(n): 434962762829088
- 138034424024640 is an abundant number, because the sum of its proper divisors (434962762829088) is greater than itself. Its abundance is 296928338804448
Bases of 138034424024640
- Binary: 111110110001010101001001100111110001110010000002
- Hexadecimal: 0x7D8AA4CF8E40
- Base-36: 1CXG504CW0
Squares and roots of 138034424024640
- 138034424024640 squared (1380344240246402) is 19053502215814112415327129600
- 138034424024640 cubed (1380344240246403) is 2630039204012102992918588835823010873344000
-
The
square root of 138034424024640 is 11748805.2168992911 -
The
cube root of 138034424024640 is 51680.7890573467
Scales and comparisons
How big is 138034424024640?- 138,034,424,024,640 seconds is equal to 4,389,067 years, 37 weeks, 1 day, 10 hours, 24 minutes.
-
To count from 1 to 138,034,424,024,640 would take you about ten million, nine hundred seventy-two thousand, six hundred sixty-nine 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 138034424024640 cubic inches would be around 4306.7 feet tall.
Recreational maths with 138034424024640
- 138034424024640 backwards is 046420424430831
- 138034424024640 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138034424024640's digits is 45
- More coming soon!
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Cite this page
MLA style:
"Number 138034424024640 - Facts about the integer". Numbermatics.com. 2024. Web. 17 June 2024.
APA style:
Numbermatics. (2024). Number 138034424024640 - Facts about the integer. Retrieved 17 June 2024, from https://numbermatics.com/n/138034424024640/
Chicago style:
Numbermatics. 2024. "Number 138034424024640 - Facts about the integer". https://numbermatics.com/n/138034424024640/
The information we have on file for 138034424024640 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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