13978144002240
13,978,144,002,240 is an even composite number composed of seven prime numbers multiplied together.
13978144002240 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 13978144002240:
26 × 34 × 5 × 11 × 31 × 532 × 563
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 11 × 31 × 53 × 53 × 563)See below for interesting mathematical facts about the number 13978144002240 from the Numbermatics database.
Names of 13978144002240
- Cardinal: 13978144002240 can be written as Thirteen trillion, nine hundred seventy-eight billion, one hundred forty-four million, two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.397814400224 × 1013
Factors of 13978144002240
Divisors of 13978144002240
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 27 30 31 32 33 36 40 44 45 48 53 54 55 60 62 64 66 72 80 81 88 90 93 96 99 106 108 110 120 124 132 135 144 155 159 160 162 165 176 180 186 192 198 212 216 220 240 248 264 265 270 279 288 297 310 318 320 324 330 341 352 360 372 396 405 424 432 440 465 477 480 495 496 528 530 540 558 563 576 583 594 620 636 648 660 682 704 720 744 792 795 810 837 848 864 880 891 930 954 960 990 992 1023 1056 1060 1080 1116 1126 1166 1188 1240 1272 1296 1320 1364 1395 1431 1440 1485 1488 1584 1590 1620 1643 1674 1689 1696 1705 1728 1749 1760 1782 1860 1908 1980 1984 2046 2112 2120 2160 2232 2252 2332 2376 2385 2480 2511 2544 2592 2640 2728 2790 2809 2815 2862 2880 2915 2970 2976 3069 3168 3180 3240 3286 3348 3378 3392 3410 3498 3520 3564 3720 3816 3960 4092 4185 4240 4293 4320 4455 4464 4504 4664 4752 4770 4929 4960 5022 5067 5088 5115 5184 5247 5280 5456 5580 5618 5630 5724 5830 5940 5952 6138 6193 6336 6360 6480 6572 6696 6756 6820 6996 7128 7155 7440 7632 7920 8184 8215 8370 8427 8445 8480 8586 8640 8745 8910 8928 9008 9207 9328 9504 9540 9858 9920 10044 10134 10176 10230 10494 10560 10912 11160 11236 11260 11448 11660 11880 12276 12386 12555 12720 12960 13144 13392 13512 13640 13992 14045 14256 14310 14787 14880 15201 15264 15345 15741 15840 16368 16430 16740 16854 16890 16960 17172 17453 17490 17820 17856 18016 18073 18414 18579 18656 19008 19080 19716 20088 20268 20460 20988 21465 21824 22320 22472 22520 22896 23320 23760 24552 24645 24772 25110 25281 25335 25440 25920 26235 26288 26784 27024 27280 27621 27984 28090 28512 28620 29574 29760 29839 30402 30528 30690 30899 30965 31482 31680 32736 32860 33480 33708 33780 34344 34906 34980 35640 36032 36146 36828 37158 37312 38160 39432 40176 40536 40920 41976 42135 42930 44361 44640 44944 45040 45603 45792 46035 46640 47223 47520 49104 49290 49544 50220 50562 50670 50880 52359 52470 52576 53568 54048 54219 54560 55242 55737 55968 56180 57024 57240 59148 59678 60804 61380 61798 61930 62964 65472 65720 66960 67416 67560 68688 69812 69960 71280 72292 73656 73935 74316 75843 76005 76320 78705 78864 80352 81072 81840 83952 84270 85860 87079 87265 88722 89280 89517 89888 90080 90365 91206 91584 92070 92697 92895 93280 94446 95040 98208 98580 99088 100440 101124 101340 104718 104940 105152 108096 108438 109120 110484 111474 111936 112360 114480 118296 119356 121608 122760 123596 123860 125928 126405 131440 133083 133920 134832 135120 137376 138105 139624 139920 142560 144584 147312 147870 148632 149195 151686 152010 152640 154495 157077 157410 157728 160704 162144 162657 163680 167211 167904 168540 171720 174158 174530 177444 179034 179776 180160 180730 182412 184140 185394 185790 186560 188892 191983 196416 197160 198176 200880 202248 202680 209436 209880 216876 220968 221805 222948 224720 227529 228015 228960 236115 236592 238712 243216 245520 247192 247720 251856 252810 261237 261795 262880 266166 267840 268551 269664 270240 271095 274752 276210 278091 278685 279248 279840 285120 289168 294624 295740 297264 298390 303372 304020 308990 314154 314820 315456 324288 325314 327360 328229 334422 335808 337080 343440 348316 349060 354888 358068 361460 364824 368280 370788 371580 377784 379215 383966 394320 396352 401760 404496 405360 418872 419760 433752 435395 441936 443610 445896 447585 449440 455058 456030 457920 463485 471231 472230 473184 477424 486432 487971 491040 494384 495440 501633 503712 505620 522474 523590 525760 532332 537102 539328 540480 542190 552420 556182 557370 558496 559680 575949 578336 589248 591480 594528 596780 606744 608040 617980 628308 629640 650628 656458 665415 668844 674160 686880 696632 698120 709776 716136 722920 729648 736560 741576 743160 755568 758430 767932 783711 785385 788640 803520 805653 808992 810720 813285 834273 836055 837744 839520 867504 870790 883872 887220 891792 895170 898880 910116 912060 925009 926970 942462 944460 946368 954848 957869 959915 972864 975942 982080 984687 988768 990880 1003266 1007424 1011240 1044948 1047180 1064664 1074204 1084380 1104840 1112364 1114740 1116992 1137645 1151898 1156672 1182960 1189056 1193560 1213488 1216080 1235960 1256616 1259280 1301256 1306185 1312916 1330830 1337688 1342755 1348320 1373760 1390455 1393264 1396240 1413693 1419552 1432272 1445840 1459296 1463913 1473120 1483152 1486320 1511136 1516860 1535864 1567422 1570770 1577280 1581467 1611306 1617984 1621440 1626570 1641145 1668546 1672110 1675488 1679040 1727847 1735008 1741580 1767744 1774440 1783584 1790340 1820232 1824120 1850018 1853940 1884924 1888920 1909696 1915738 1919830 1951884 1969374 1977536 1981760 2006532 2022480 2089896 2094360 2129328 2148408 2168760 2209680 2224728 2229480 2275290 2303796 2351133 2356155 2365920 2387120 2416959 2426976 2432160 2439855 2471920 2502819 2508165 2513232 2518560 2602512 2612370 2625832 2661660 2675376 2685510 2696640 2775027 2780910 2786528 2792480 2827386 2839104 2864544 2873607 2879745 2891680 2918592 2927826 2946240 2954061 2966304 2972640 3022272 3033720 3071728 3134844 3141540 3162934 3222612 3253140 3282290 3337092 3344220 3350976 3455694 3470016 3483160 3548880 3567168 3580680 3640464 3648240 3700036 3707880 3769848 3777840 3831476 3839660 3903768 3918555 3938748 4013064 4028265 4044960 4171365 4179792 4188720 4258656 4296816 4337520 4419360 4449456 4458960 4550580 4607592 4625045 4702266 4712310 4731840 4744401 4774240 4789345 4833918 4853952 4864320 4879710 4923435 4943840 5005638 5016330 5026464 5037120 5183541 5205024 5224740 5251664 5323320 5350752 5371020 5550054 5561820 5573056 5584960 5654772 5729088 5747214 5759490 5783360 5855652 5908122 5932608 5945280 6067440 6143456 6269688 6283080 6325868 6445224 6506280 6564580 6674184 6688440 6911388 6966320 7053399 7068465 7097760 7161360 7280928 7296480 7319565 7400072 7415760 7539696 7555680 7662952 7679320 7807536 7837110 7877496 7907335 8026128 8056530 8089920 8325081 8342730 8359584 8377440 8517312 8593632 8620821 8639235 8675040 8838720 8862183 8898912 8917920 9101160 9215184 9250090 9404532 9424620 9488802 9548480 9578690 9667836 9759420 9846870 9887680 10011276 10032660 10052928 10175099 10367082 10410048 10449480 10503328 10646640 10701504 10742040 11100108 11123640 11309544 11494428 11518980 11711304 11755665 11816244 12084795 12134880 12286912 12514095 12539376 12566160 12651736 12890448 13012560 13129160 13348368 13376880 13822776 13875135 13932640 14106798 14136930 14195520 14233203 14322720 14368035 14561856 14592960 14639130 14770305 14800144 14831520 15079392 15111360 15325904 15358640 15550623 15615072 15674220 15754992 15814670 16052256 16113060 16650162 16685460 16719168 16754880 17187264 17241642 17278470 17350080 17396137 17724366 17797824 17835840 18202320 18430368 18500180 18809064 18849240 18977604 19157380 19335672 19518840 19693740 20022552 20065320 20350198 20734164 20898960 21006656 21293280 21484080 22200216 22247280 22619088 22988856 23037960 23422608 23511330 23632488 23722005 24169590 24269760 24975243 25028190 25078752 25132320 25303472 25780896 25862463 25917705 26025120 26258320 26586549 26696736 26753760 27645552 27750270 27865280 28213596 28273860 28466406 28645440 28736070 29278260 29540610 29600288 29663040 30158784 30525297 30651808 30717280 31101246 31230144 31348440 31509984 31629340 32104512 32226120 33300324 33370920 34483284 34556940 34792274 35266995 35448732 36404640 36860736 37000360 37618128 37698480 37955208 38314760 38671344 39037680 39387480 40045104 40130640 40700396 41468328 41625405 41797920 42586560 42699609 42968160 43104105 44310915 44400432 44494560 45238176 45977712 46075920 46845216 47022660 47264976 47444010 48339180 49025477 49950486 50056380 50157504 50264640 50606944 50875495 51561792 51724926 51835410 52050240 52188411 52516640 53173098 53393472 53507520 55291104 55500540 56427192 56547720 56932812 57472140 58556520 59081220 59200576 61050594 61303616 61434560 62202492 62696880 63019968 63258680 64452240 66600648 66741840 68966568 69113880 69584548 70533990 70897464 71166015 72809280 74000720 74925729 75236256 75396960 75910416 76629520 77342688 77587389 77753115 78075360 78774960 80090208 80261280 81400792 82936656 83250810 83595840 85399218 85936320 86208210 86980685 88621830 88800864 88989120 90476352 91575891 91955424 92151840 93690432 94045320 94529952 94888020 96678360 98050954 99900972 100112760 101213888 101750990 103449852 103670820 104376822 105033280 106346196 110582208 111001080 112854384 113095440 113865624 114944280 117113040 118162440 122101188 124404984 124876215 125393760 126517360 128098827 128904480 129312315 132932745 133201296 133483680 137933136 138227760 139169096 141067980 141794928 142332030 147076431 148001440 149851458 150472512 150793920 151820832 152626485 153259040 154685376 155174778 155506230 156150720 156565233 157549920 160180416 160522560 162801584 165873312 166501620 170798436 172416420 173961370 177243660 177601728 183151782 183910848 184303680 188090640 189059904 189776040 193356720 196101908 199801944 200225520 203501980 206899704 207341640 208753644 212692392 213498045 222002160 225708768 226190880 227731248 229888560 234226080 236324880 244202376 245127385 248809968 249752430 250787520 253034720 256197654 257808960 258624630 260942055 265865490 266402592 266967360 274727673 275866272 276455520 278338192 282135960 283589856 284664060 294152862 296002880 299702916 303641664 305252970 306518080 310349556 311012460 313130466 315099840 325603168 331746624 333003240 341596872 344832840 347922740 354487320 366303564 374628645 376181280 379552080 386713440 387936945 392203816 399603888 400451040 407003960 413799408 414683280 417507288 425384784 426996090 441229293 444004320 451417536 452381760 455462496 457879455 459777120 468452160 469695699 472649760 488404752 490254770 497619936 499504860 506069440 512395308 517249260 521884110 531730980 532805184 539280247 549455346 551732544 552911040 556676384 564271920 567179712 569328120 588305724 599405832 610505940 620699112 622024920 626260932 640494135 651206336 666006480 683193744 689665680 695845480 708974640 732607128 735382155 749257290 752362560 759104160 773426880 775873890 782826165 784407632 799207776 800902080 814007920 824183019 827598816 829366560 835014576 850769568 853992180 882458586 888008640 910924992 915758910 919554240 939391398 945299520 976809504 980509540 995239872 999009720 1024790616 1034498520 1043768220 1063461960 1078560494 1098910692 1113352768 1128543840 1138656240 1176611448 1198811664 1221011880 1241398224 1244049840 1252521864 1280988270 1323687879 1332012960 1366387488 1373638365 1379331360 1391690960 1409087097 1417949280 1465214256 1470764310 1498514580 1518208320 1551747780 1565652330 1568815264 1598415552 1617840741 1628015840 1648366038 1655197632 1658733120 1670029152 1701539136 1707984360 1764917172 1831517820 1878782796 1953619008 1961019080 1998019440 2049581232 2068997040 2087536440 2126923920 2157120988 2197821384 2206146465 2257087680 2277312480 2348478495 2353222896 2397623328 2442023760 2482796448 2488099680 2505043728 2561976540 2647375758 2664025920 2696401235 2732774976 2747276730 2758662720 2783381920 2818174194 2835898560 2930428512 2941528620 2997029160 3103495560 3131304660 3137630528 3235681482 3256031680 3296732076 3340058304 3415968720 3529834344 3663035640 3757565592 3922038160 3971063637 3996038880 4099162464 4120915095 4137994080 4175072880 4253847840 4314241976 4395642768 4412292930 4554624960 4696956990 4706445792 4795246656 4853522223 4884047520 4965592896 4976199360 5010087456 5123953080 5294751516 5392802470 5494553460 5566763840 5636348388 5860857024 5883057240 5994058320 6206991120 6262609320 6471362964 6593464152 6618439395 6831937440 7045435485 7059668688 7326071280 7515131184 7844076320 7942127274 7992077760 8089203705 8198324928 8241830190 8275988160 8350145760 8507695680 8628483952 8791285536 8824585860 9393913980 9412891584 9707044446 9768095040 10020174912 10247906160 10589503032 10785604940 10989106920 11272696776 11766114480 11988116640 12413982240 12525218640 12942725928 13186928304 13236878790 13663874880 14090870970 14119337376 14560566669 14652142560 15030262368 15688152640 15884254548 16178407410 16483660380 16700291520 17256967904 17582571072 17649171720 18787827960 19414088892 19855318185 20495812320 21179006064 21571209880 21978213840 22545393552 23532228960 23976233280 24267611115 24827964480 25050437280 25885451856 26373856608 26473757580 28181741940 28238674752 29121133338 29304285120 30060524736 31768509096 32356814820 32967320760 34513935808 35298343440 37575655920 38828177784 39710636370 40991624640 42358012128 43142419760 43681700007 43956427680 45090787104 47064457920 48535222230 50100874560 51770903712 52747713216 52947515160 56363483880 58242266676 63537018192 64713629640 65934641520 70596686880 72802833345 75151311840 77656355568 79421272740 84716024256 86284839520 87363400014 87912855360 90181574208 97070444460 103541807424 105895030320 112726967760 116484533352 127074036384 129427259280 131869283040 141193373760 145605666690 150302623680 155312711136 158842545480 172569679040 174726800028 194140888920 211790060640 218408500035 225453935520 232969066704 254148072768 258854518560 263738566080 291211333380 310625422272 317685090960 349453600056 388281777840 423580121280 436817000070 450907871040 465938133408 517709037120 582422666760 635370181920 698907200112 776563555680 873634000140 931876266816 1164845333520 1270740363840 1397814400224 1553127111360 1747268000280 2329690667040 2795628800448 3494536000560 4659381334080 6989072001120 13978144002240
- Sum of all divisors σ(n): 57170503627776
- Sum of proper divisors (its aliquot sum) s(n): 43192359625536
- 13978144002240 is an abundant number, because the sum of its proper divisors (43192359625536) is greater than itself. Its abundance is 29214215623296
Bases of 13978144002240
- Binary: 110010110110100010100100111011010000110000002
- Hexadecimal: 0xCB68A4ED0C0
- Base-36: 4YDGY1800
Squares and roots of 13978144002240
- 13978144002240 squared (139781440022402) is 195388509747358085125017600
- 13978144002240 cubed (139781440022403) is 2731168725631645195275836126014439424000
-
The
square root of 13978144002240 is 3738735.6154507635 -
The
cube root of 13978144002240 is 24088.8741895275
Scales and comparisons
How big is 13978144002240?- 13,978,144,002,240 seconds is equal to 444,461 years, 38 weeks, 4 days, 2 hours, 24 minutes.
-
To count from 1 to 13,978,144,002,240 would take you about one million, one hundred eleven thousand, one hundred fifty-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 13978144002240 cubic inches would be around 2007.4 feet tall.
Recreational maths with 13978144002240
- 13978144002240 backwards is 04220044187931
- 13978144002240 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 13978144002240's digits is 45
- More coming soon!
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"Number 13978144002240 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 13978144002240 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/13978144002240/
Chicago style:
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The information we have on file for 13978144002240 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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