138144434749440
138,144,434,749,440 is an even composite number composed of six prime numbers multiplied together.
138144434749440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138144434749440:
217 × 3 × 5 × 73 × 127 × 1613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 7 × 127 × 1613)See below for interesting mathematical facts about the number 138144434749440 from the Numbermatics database.
Names of 138144434749440
- Cardinal: 138144434749440 can be written as One hundred thirty-eight trillion, one hundred forty-four billion, four hundred thirty-four million, seven hundred forty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3814443474944 × 1014
Factors of 138144434749440
Divisors of 138144434749440
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 49 56 60 64 70 80 84 96 98 105 112 120 127 128 140 147 160 168 192 196 210 224 240 245 254 256 280 294 320 336 343 381 384 392 420 448 480 490 508 512 560 588 635 640 672 686 735 762 768 784 840 889 896 960 980 1016 1024 1029 1120 1176 1270 1280 1344 1372 1470 1524 1536 1568 1613 1680 1715 1778 1792 1905 1920 1960 2032 2048 2058 2240 2352 2540 2560 2667 2688 2744 2940 3048 3072 3136 3226 3360 3430 3556 3584 3810 3840 3920 4064 4096 4116 4445 4480 4704 4839 5080 5120 5145 5334 5376 5488 5880 6096 6144 6223 6272 6452 6720 6860 7112 7168 7620 7680 7840 8065 8128 8192 8232 8890 8960 9408 9678 10160 10240 10290 10668 10752 10976 11291 11760 12192 12288 12446 12544 12904 13335 13440 13720 14224 14336 15240 15360 15680 16130 16256 16384 16464 17780 17920 18669 18816 19356 20320 20480 20580 21336 21504 21952 22582 23520 24195 24384 24576 24892 25088 25808 26670 26880 27440 28448 28672 30480 30720 31115 31360 32260 32512 32768 32928 33873 35560 35840 37338 37632 38712 40640 40960 41160 42672 43008 43561 43904 45164 47040 48390 48768 49152 49784 50176 51616 53340 53760 54880 56455 56896 57344 60960 61440 62230 62720 64520 65024 65536 65856 67746 71120 71680 74676 75264 77424 79037 81280 81920 82320 85344 86016 87122 87808 90328 93345 94080 96780 97536 98304 99568 100352 103232 106680 107520 109760 112910 113792 114688 121920 122880 124460 125440 129040 130048 130683 131072 131712 135492 142240 143360 149352 150528 154848 158074 162560 163840 164640 169365 170688 172032 174244 175616 180656 186690 188160 193560 195072 196608 199136 200704 204851 206464 213360 215040 217805 219520 225820 227584 229376 237111 243840 245760 248920 250880 258080 260096 261366 263424 270984 284480 286720 298704 301056 309696 316148 325120 327680 329280 338730 341376 344064 348488 351232 361312 373380 376320 387120 390144 393216 395185 398272 401408 409702 412928 426720 430080 435610 439040 451640 455168 458752 474222 487680 491520 497840 501760 516160 520192 522732 526848 541968 553259 568960 573440 597408 602112 614553 619392 632296 650240 653415 655360 658560 677460 682752 688128 696976 702464 722624 746760 752640 774240 780288 790370 796544 802816 819404 825856 853440 860160 871220 878080 903280 910336 917504 948444 975360 983040 995680 1003520 1024255 1032320 1040384 1045464 1053696 1083936 1106518 1137920 1146880 1185555 1194816 1204224 1229106 1238784 1264592 1300480 1306830 1317120 1354920 1365504 1376256 1393952 1404928 1433957 1445248 1493520 1505280 1548480 1560576 1580740 1593088 1605632 1638808 1651712 1659777 1706880 1720320 1742440 1756160 1806560 1820672 1896888 1950720 1966080 1991360 2007040 2048510 2064640 2080768 2090928 2107392 2167872 2213036 2275840 2293760 2371110 2389632 2408448 2458212 2477568 2529184 2600960 2613660 2634240 2709840 2731008 2752512 2766295 2787904 2809856 2867914 2890496 2987040 3010560 3072765 3096960 3121152 3161480 3186176 3211264 3277616 3303424 3319554 3413760 3440640 3484880 3512320 3613120 3641344 3793776 3901440 3982720 4014080 4097020 4129280 4161536 4181856 4214784 4301871 4335744 4426072 4551680 4587520 4742220 4779264 4816896 4916424 4955136 5058368 5201920 5227320 5268480 5419680 5462016 5532590 5575808 5619712 5735828 5780992 5974080 6021120 6145530 6193920 6242304 6322960 6372352 6422528 6555232 6606848 6639108 6827520 6881280 6969760 7024640 7169785 7226240 7282688 7587552 7802880 7965440 8028160 8194040 8258560 8298885 8323072 8363712 8429568 8603742 8671488 8852144 9103360 9484440 9558528 9633792 9832848 9910272 10037699 10116736 10403840 10454640 10536960 10839360 10924032 11065180 11151616 11239424 11471656 11561984 11948160 12042240 12291060 12387840 12484608 12645920 12744704 13110464 13213696 13278216 13655040 13762560 13939520 14049280 14339570 14452480 14565376 15175104 15605760 15930880 16056320 16388080 16517120 16597770 16646144 16727424 16859136 17207484 17342976 17704288 18206720 18968880 19117056 19267584 19665696 19820544 20075398 20233472 20807680 20909280 21073920 21509355 21678720 21848064 22130360 22303232 22478848 22943312 23123968 23896320 24084480 24582120 24775680 24969216 25291840 25489408 26220928 26427392 26556432 27310080 27879040 28098560 28679140 28904960 29130752 30113097 30350208 31211520 31861760 32112640 32776160 33034240 33195540 33454848 33718272 34414968 34685952 35408576 36413440 37937760 38234112 39331392 39641088 40150796 40466944 41615360 41818560 42147840 43018710 43357440 43696128 44260720 44606464 44957696 45886624 46247936 47792640 48168960 49164240 49551360 49938432 50188495 50583680 50978816 52441856 52854784 53112864 54620160 55758080 56197120 57358280 57809920 58261504 60226194 60700416 62423040 63723520 65552320 66068480 66391080 66909696 67436544 68829936 69371904 70263893 70817152 72826880 75875520 76468224 78662784 79282176 80301592 80933888 83230720 83637120 84295680 86037420 86714880 87392256 88521440 89212928 91773248 92495872 95585280 96337920 98328480 99102720 100376990 101167360 101957632 104883712 105709568 106225728 109240320 111516160 112394240 114716560 115619840 116523008 120452388 121400832 124846080 127447040 131104640 132136960 132782160 133819392 134873088 137659872 138743808 140527786 141634304 145653760 150565485 151751040 152936448 157325568 158564352 160603184 161867776 167274240 168591360 172074840 173429760 174784512 177042880 178425856 183546496 184991744 191170560 196656960 198205440 200753980 202334720 203915264 209767424 210791679 211419136 212451456 218480640 223032320 224788480 229433120 231239680 240904776 242801664 249692160 254894080 262209280 264273920 265564320 267638784 275319744 277487616 281055572 283268608 291307520 301130970 303502080 305872896 314651136 317128704 321206368 323735552 334548480 337182720 344149680 346859520 349569024 351319465 354085760 356851712 367092992 369983488 382341120 393313920 396410880 401507960 404669440 407830528 419534848 421583358 424902912 436961280 446064640 458866240 462479360 481809552 485603328 509788160 524418560 528547840 531128640 535277568 550639488 554975232 562111144 566537216 582615040 602261940 607004160 611745792 629302272 634257408 642412736 647471104 669096960 674365440 688299360 693719040 702638930 708171520 713703424 734185984 739966976 764682240 786627840 792821760 803015920 809338880 815661056 839069696 843166716 849805824 873922560 892129280 917732480 924958720 963619104 971206656 1019576320 1048837120 1053958395 1057095680 1062257280 1070555136 1101278976 1109950464 1124222288 1133074432 1204523880 1214008320 1223491584 1258604544 1284825472 1294942208 1338193920 1376598720 1387438080 1405277860 1416343040 1427406848 1468371968 1479933952 1529364480 1573255680 1585643520 1606031840 1618677760 1678139392 1686333432 1699611648 1747845120 1784258560 1835464960 1849917440 1927238208 1942413312 2039152640 2097674240 2107916790 2124514560 2141110272 2202557952 2219900928 2248444576 2266148864 2409047760 2428016640 2446983168 2517209088 2569650944 2589884416 2676387840 2753197440 2774876160 2810555720 2832686080 2854813696 2936743936 3058728960 3146511360 3171287040 3212063680 3237355520 3356278784 3372666864 3399223296 3568517120 3670929920 3699834880 3854476416 3884826624 4078305280 4195348480 4215833580 4249029120 4282220544 4405115904 4439801856 4496889152 4532297728 4818095520 4856033280 5034418176 5139301888 5179768832 5352775680 5506394880 5549752320 5621111440 5665372160 5709627392 5873487872 6117457920 6293022720 6424127360 6474711040 6712557568 6745333728 6798446592 7137034240 7341859840 7399669760 7708952832 7769653248 8390696960 8431667160 8498058240 8564441088 8810231808 8993778304 9064595456 9636191040 9712066560 10068836352 10278603776 10359537664 10705551360 11012789760 11099504640 11242222880 11330744320 11746975744 12234915840 12586045440 12848254720 12949422080 13425115136 13490667456 13596893184 14274068480 14683719680 15417905664 15539306496 16781393920 16863334320 16996116480 17128882176 17620463616 17987556608 18129190912 19272382080 19424133120 20137672704 20557207552 21411102720 22025579520 22199009280 22484445760 22661488640 23493951488 25172090880 25696509440 25898844160 26850230272 26981334912 27193786368 28548136960 29367439360 30835811328 31078612992 33562787840 33726668640 33992232960 35240927232 35975113216 36258381824 38544764160 38848266240 40275345408 41114415104 42822205440 44051159040 44968891520 45322977280 46987902976 50344181760 51393018880 51797688320 53962669824 54387572736 58734878720 61671622656 67125575680 67453337280 67984465920 70481854464 71950226432 72516763648 77089528320 77696532480 80550690816 82228830208 85644410880 88102318080 89937783040 90645954560 93975805952 100688363520 102786037760 107925339648 108775145472 117469757440 123343245312 134251151360 134906674560 135968931840 140963708928 143900452864 154179056640 155393064960 164457660416 176204636160 179875566080 181291909120 187951611904 201376727040 205572075520 215850679296 217550290944 234939514880 246686490624 269813349120 271937863680 281927417856 287800905728 308358113280 328915320832 352409272320 359751132160 362583818240 402753454080 411144151040 431701358592 469879029760 493372981248 539626698240 543875727360 563854835712 575601811456 616716226560 657830641664 704818544640 719502264320 822288302080 863402717184 939758059520 986745962496 1079253396480 1087751454720 1151203622912 1233432453120 1315661283328 1409637089280 1439004528640 1644576604160 1726805434368 1973491924992 2158506792960 2302407245824 2466864906240 2819274178560 2878009057280 3289153208320 3453610868736 3946983849984 4317013585920 4604814491648 4933729812480 5756018114560 6578306416640 6907221737472 8634027171840 9209628983296 9867459624960 11512036229120 13814443474944 17268054343680 19734919249920 23024072458240 27628886949888 34536108687360 46048144916480 69072217374720 138144434749440
- Sum of all divisors σ(n): 519903807897600
- Sum of proper divisors (its aliquot sum) s(n): 381759373148160
- 138144434749440 is an abundant number, because the sum of its proper divisors (381759373148160) is greater than itself. Its abundance is 243614938398720
Bases of 138144434749440
- Binary: 111110110100100010000011111011000000000000000002
- Hexadecimal: 0x7DA441F60000
- Base-36: 1CYUODNZEO
Squares and roots of 138144434749440
- 138144434749440 squared (1381444347494402) is 19083884852242285795580313600
- 138144434749440 cubed (1381444347494403) is 2636332485736410865761140790454212624384000
-
The
square root of 138144434749440 is 11753486.0679476707 -
The
cube root of 138144434749440 is 51694.5149361775
Scales and comparisons
How big is 138144434749440?- 138,144,434,749,440 seconds is equal to 4,392,565 years, 37 weeks, 1 day, 17 hours, 4 minutes.
-
To count from 1 to 138,144,434,749,440 would take you about ten million, nine hundred eighty-one thousand, four hundred fourteen 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 138144434749440 cubic inches would be around 4307.9 feet tall.
Recreational maths with 138144434749440
- 138144434749440 backwards is 044947434441831
- 138144434749440 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138144434749440's digits is 60
- More coming soon!
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The information we have on file for 138144434749440 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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