2138740243200
2,138,740,243,200 is an even composite number composed of six prime numbers multiplied together.
2138740243200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 2138740243200:
28 × 33 × 52 × 113 × 17 × 547
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 11 × 11 × 11 × 17 × 547)See below for interesting mathematical facts about the number 2138740243200 from the Numbermatics database.
Names of 2138740243200
- Cardinal: 2138740243200 can be written as Two trillion, one hundred thirty-eight billion, seven hundred forty million, two hundred forty-three thousand, two hundred.
Scientific notation
- Scientific notation: 2.1387402432 × 1012
Factors of 2138740243200
Divisors of 2138740243200
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 20 22 24 25 27 30 32 33 34 36 40 44 45 48 50 51 54 55 60 64 66 68 72 75 80 85 88 90 96 99 100 102 108 110 120 121 128 132 135 136 144 150 153 160 165 170 176 180 187 192 198 200 204 216 220 225 240 242 255 256 264 270 272 275 288 297 300 306 320 330 340 352 360 363 374 384 396 400 408 425 432 440 450 459 480 484 495 510 528 540 544 547 550 561 576 594 600 605 612 640 660 675 680 704 720 726 748 765 768 792 800 816 825 850 864 880 900 918 935 960 968 990 1020 1056 1080 1088 1089 1094 1100 1122 1152 1188 1200 1210 1224 1275 1280 1320 1331 1350 1360 1408 1440 1452 1485 1496 1530 1584 1600 1632 1641 1650 1683 1700 1728 1760 1800 1815 1836 1870 1920 1936 1980 2040 2057 2112 2160 2176 2178 2188 2200 2244 2295 2304 2376 2400 2420 2448 2475 2550 2640 2662 2700 2720 2735 2805 2816 2880 2904 2970 2992 3025 3060 3168 3200 3264 3267 3282 3300 3366 3400 3456 3520 3600 3630 3672 3740 3825 3840 3872 3960 3993 4080 4114 4224 4320 4352 4356 4376 4400 4488 4590 4675 4752 4800 4840 4896 4923 4950 5049 5100 5280 5324 5400 5440 5445 5470 5610 5760 5808 5940 5984 6017 6050 6120 6171 6336 6400 6528 6534 6564 6600 6655 6732 6800 6912 7040 7200 7260 7344 7425 7480 7650 7744 7920 7986 8160 8205 8228 8415 8448 8640 8712 8752 8800 8976 9075 9180 9299 9350 9504 9600 9680 9792 9846 9900 10098 10200 10285 10560 10648 10800 10880 10890 10940 11220 11475 11520 11616 11880 11968 11979 12034 12100 12240 12342 12672 13056 13068 13128 13200 13310 13464 13600 13675 14025 14080 14400 14520 14688 14769 14850 14960 15300 15488 15840 15972 16320 16335 16410 16456 16830 17280 17424 17504 17600 17952 18051 18150 18360 18513 18598 18700 19008 19200 19360 19584 19692 19800 19965 20196 20400 20570 21120 21296 21600 21760 21780 21880 22440 22627 22950 23232 23760 23936 23958 24068 24200 24480 24615 24684 25245 25344 26136 26256 26400 26620 26928 27200 27225 27350 27897 28050 28800 29040 29376 29538 29700 29920 30085 30600 30855 30976 31680 31944 32640 32670 32820 32912 33275 33660 34560 34848 35008 35200 35904 35937 36102 36300 36720 37026 37196 37400 38016 38720 39168 39384 39600 39930 40392 40800 41025 41140 42075 42240 42592 43200 43560 43760 44880 45254 45900 46464 46495 47520 47872 47916 48136 48400 48960 49230 49368 50490 51425 52272 52512 52800 53240 53856 54153 54400 54450 54700 55539 55794 56100 57600 58080 58752 59076 59400 59840 59895 60170 61200 61710 63360 63888 65280 65340 65640 65824 66187 66550 67320 67881 69696 70016 70400 71808 71874 72204 72600 73440 73845 74052 74392 74800 76032 77440 78768 79200 79860 80784 81600 81675 82050 82280 83691 84150 85184 86400 87120 87520 89760 90255 90508 91800 92565 92928 92990 95040 95832 96272 96800 97920 98460 98736 99825 100980 102289 102850 104544 105024 105600 106480 107712 108306 108800 108900 109400 111078 111588 112200 113135 116160 117504 118152 118800 119680 119790 120340 122400 123075 123420 126225 126720 127776 130680 131280 131648 132374 133100 134640 135762 139392 139485 140032 143616 143748 144408 145200 146880 147690 148104 148784 149600 150425 154275 154880 157536 158400 159720 161568 162459 163200 163350 164100 164560 167382 168300 170368 172800 174240 175040 179520 179685 180510 181016 183600 185130 185980 190080 191664 192544 193600 195840 196920 197472 198561 199650 201960 203643 204578 205700 209088 210048 211200 212960 215424 216612 217800 218800 222156 223176 224400 226270 232320 232475 236304 237600 239360 239580 240680 244800 246150 246840 251073 252450 255552 261360 262560 263296 264748 266200 269280 270765 271524 277695 278784 278970 287496 288816 290400 293760 295380 296208 297568 299200 299475 300850 306867 308550 315072 316800 319440 323136 324918 326400 326700 328200 329120 330935 334764 336600 339405 340736 348480 350080 359040 359370 361020 362032 367200 369225 370260 371960 380160 383328 385088 387200 393840 394944 397122 399300 403920 407286 409156 411400 418176 418455 420096 425920 430848 433224 435600 437600 444312 446352 448800 451275 452540 462825 464640 464950 472608 475200 479160 481360 489600 492300 493680 502146 504900 511104 511445 522720 525120 526592 529496 532400 538560 541530 543048 555390 557940 565675 574992 577632 580800 587520 590760 592416 595136 595683 598400 598950 601700 610929 613734 617100 630144 633600 638880 646272 649836 653400 656400 658240 661870 669528 673200 678810 696960 697425 700160 718080 718740 722040 724064 728057 734400 738450 740520 743920 766656 770176 774400 787680 789888 794244 798600 807840 812295 814572 818312 822800 836352 836910 851840 866448 871200 875200 888624 892704 897600 898425 902550 905080 920601 925650 929900 945216 950400 958320 962720 979200 984600 987360 992805 1004292 1009800 1018215 1022208 1022890 1045440 1050240 1058992 1064800 1077120 1083060 1086096 1110780 1115880 1125179 1131350 1149984 1155264 1161600 1181520 1184832 1190272 1191366 1196800 1197900 1203400 1221858 1227468 1234200 1255365 1260288 1277760 1292544 1299672 1306800 1312800 1316480 1323740 1339056 1346400 1353825 1357620 1388475 1393920 1394850 1437480 1444080 1448128 1456114 1468800 1476900 1481040 1487840 1533312 1534335 1540352 1575360 1579776 1588488 1597200 1615680 1624590 1629144 1636624 1645600 1654675 1673820 1697025 1703680 1732896 1742400 1750400 1777248 1785408 1787049 1795200 1796850 1805100 1810160 1841202 1851300 1859800 1890432 1900800 1916640 1925440 1969200 1974720 1985610 2008584 2019600 2036430 2045780 2090880 2092275 2100480 2117984 2129600 2154240 2166120 2172192 2184171 2221560 2231760 2250358 2262700 2299968 2310528 2323200 2363040 2369664 2380544 2382732 2395800 2406800 2443716 2454936 2468400 2510730 2555520 2557225 2599344 2613600 2625600 2632960 2647480 2678112 2692800 2707650 2715240 2761803 2776950 2789700 2874960 2888160 2896256 2912228 2937600 2953800 2962080 2975680 2978415 3054645 3066624 3068670 3150720 3176976 3194400 3231360 3249180 3258288 3273248 3291200 3309350 3347640 3375537 3394050 3465792 3484800 3500800 3554496 3570816 3574098 3590400 3593700 3610200 3620320 3640285 3682404 3702600 3719600 3780864 3833280 3850880 3938400 3949440 3971220 4017168 4039200 4061475 4072860 4091560 4181760 4184550 4235968 4259200 4332240 4344384 4368342 4443120 4463520 4500716 4525400 4599936 4603005 4621056 4726080 4739328 4765464 4791600 4813600 4887432 4909872 4936800 4964025 5021460 5091075 5111040 5114450 5198688 5227200 5251200 5294960 5356224 5385600 5415300 5430480 5523606 5553900 5579400 5625895 5749920 5776320 5792512 5824456 5907600 5924160 5951360 5956830 6109290 6137340 6276825 6301440 6353952 6388800 6462720 6498360 6516576 6546496 6552513 6582400 6618700 6695280 6751074 6788100 6931584 6969600 7108992 7141632 7148196 7187400 7220400 7240640 7280570 7364808 7405200 7439200 7666560 7671675 7701760 7876800 7898880 7942440 8034336 8078400 8122950 8145720 8183120 8369100 8471936 8518400 8664480 8688768 8736684 8886240 8927040 8935245 9001432 9050800 9199872 9206010 9452160 9530928 9583200 9627200 9774864 9819744 9873600 9928050 10042920 10126611 10182150 10228900 10397376 10454400 10502400 10589920 10712448 10771200 10830600 10860960 10920855 11047212 11107800 11158800 11251790 11499840 11552640 11648912 11815200 11848320 11902720 11913660 12218580 12274680 12376969 12553650 12707904 12777600 12996720 13033152 13092992 13105026 13164800 13237400 13390560 13502148 13576200 13809015 13863168 14217984 14296392 14374800 14440800 14481280 14561140 14729616 14810400 14878400 14892075 15273225 15333120 15343350 15753600 15884880 16068672 16156800 16245900 16291440 16366240 16738200 16877685 16943872 17328960 17377536 17473368 17772480 17854080 17870490 18002864 18101600 18201425 18412020 18904320 19061856 19166400 19254400 19549728 19639488 19657539 19747200 19856100 20085840 20253222 20364300 20457800 20794752 20908800 21179840 21424896 21661200 21721920 21841710 22094424 22215600 22317600 22503580 22999680 23015025 23105280 23297824 23630400 23696640 23827320 24437160 24549360 24753938 25107300 25415808 25555200 25993440 26066304 26185984 26210052 26474800 26781120 27004296 27152400 27618030 28129475 28592784 28749600 28881600 28962560 29122280 29459232 29620800 29756800 29784150 30379833 30546450 30686700 31507200 31769760 32137344 32313600 32491800 32582880 32732480 32762565 33476400 33755370 34657920 34946736 35544960 35708160 35740980 36005728 36203200 36402850 36824040 37130907 38123712 38332800 38508800 39099456 39278976 39315078 39494400 39712200 40171680 40506444 40728600 40915600 41589504 42359680 43322400 43443840 43683420 44188848 44431200 44635200 44676225 45007160 45999360 46030050 46595648 47260800 47654640 48874320 49098720 49507876 50214600 50633055 50831616 51986880 52132608 52420104 52949600 53562240 54008592 54304800 54604275 55236060 56258950 57185568 57499200 57763200 58244560 58918464 59241600 59513600 59568300 60759666 61092900 61373400 61884845 63539520 64274688 64983600 65165760 65464960 65525130 66952800 67510740 69045075 69315840 69893472 71089920 71481960 72011456 72406400 72805700 73648080 74261814 76247424 76665600 78198912 78557952 78630156 79424400 80343360 81012888 81457200 81831200 84388425 84719360 86644800 86887680 87366840 88377696 88862400 89270400 89352450 90014320 92060100 93191296 94521600 95309280 97748640 98197440 98287695 99015752 100429200 101266110 103973760 104840208 105899200 107124480 108017184 108609600 109208550 110472120 111392721 112517900 114371136 114998400 115526400 116489120 117836928 118483200 119136600 121519332 122185800 122746800 123769690 127079040 129967200 130331520 130929920 131050260 133905600 135021480 138090150 139786944 142963920 144022912 144812800 145611400 147296160 148523628 151899165 152494848 156397824 157260312 158848800 160686720 162025776 162914400 163662400 163812825 168776850 173289600 174733680 176755392 177724800 178540800 178704900 180028640 184120200 185654535 186382592 190618560 195497280 196394880 196575390 198031504 200858400 202532220 207947520 209680416 211798400 216034368 217219200 218417100 220944240 222785442 225035800 228742272 229996800 232978240 235673856 238273200 243038664 244371600 245493600 247539380 253165275 254158080 259934400 260663040 262100520 267811200 270042960 276180300 279573888 285927840 288045824 291222800 294592320 297047256 303798330 309424225 314520624 317697600 321373440 324051552 325828800 327324800 327625650 334178163 337553700 346579200 349467360 353510784 355449600 357409800 360057280 368240400 371309070 381237120 390994560 392789760 393150780 396063008 401716800 405064440 419360832 423596800 432068736 434438400 436834200 441888480 445570884 450071600 457484544 465956480 476546400 486077328 488743200 490987200 491438475 495078760 506330550 519868800 524201040 535622400 540085920 552360600 556963605 559147776 571855680 582445600 589184640 594094512 607596660 618848450 629041248 635395200 648103104 651657600 654649600 655251300 668356326 675107400 698934720 707021568 714819600 720114560 736480800 742618140 759495825 762474240 781989120 786301560 792126016 803433600 810128880 838721664 864137472 873668400 883776960 891141768 900143200 928272675 931912960 953092800 972154656 977486400 981974400 982876950 990157520 1012661100 1039737600 1048402080 1080171840 1104721200 1113927210 1143711360 1164891200 1178369280 1188189024 1215193320 1237696900 1258082496 1270790400 1296206208 1303315200 1310502600 1336712652 1350214800 1397869440 1429639200 1440229120 1472961600 1485236280 1518991650 1572603120 1584252032 1606867200 1620257760 1670890815 1677443328 1747336800 1767553920 1782283536 1800286400 1856545350 1906185600 1944309312 1954972800 1963948800 1965753900 1980315040 2025322200 2096804160 2160343680 2209442400 2227854420 2287422720 2329782400 2376378048 2430386640 2475393800 2516164992 2592412416 2621005200 2673425304 2700429600 2784818025 2795738880 2859278400 2945923200 2970472560 3037983300 3145206240 3168504064 3240515520 3341781630 3494673600 3535107840 3564567072 3600572800 3713090700 3812371200 3888618624 3909945600 3931507800 3960630080 4050644400 4193608320 4320687360 4418884800 4455708840 4659564800 4752756096 4860773280 4950787600 5032329984 5242010400 5346850608 5400859200 5569636050 5718556800 5891846400 5940945120 6075966600 6290412480 6481031040 6683563260 6989347200 7129134144 7201145600 7426181400 7777237248 7863015600 7921260160 8101288800 8354454075 8387216640 8837769600 8911417680 9505512192 9721546560 9901575200 10484020800 10693701216 10801718400 11139272100 11437113600 11881890240 12151933200 12580824960 12962062080 13367126520 13978694400 14258268288 14852362800 15726031200 15842520320 16202577600 16708908150 17675539200 17822835360 19443093120 19803150400 20968041600 21387402432 21603436800 22278544200 23763780480 24303866400 25161649920 26734253040 28516536576 29704725600 31452062400 32405155200 33417816300 35645670720 38886186240 39606300800 41936083200 42774804864 44557088400 47527560960 48607732800 53468506080 59409451200 62904124800 64810310400 66835632600 71291341440 79212601600 85549609728 89114176800 97215465600 106937012160 118818902400 125808249600 133671265200 142582682880 178228353600 194430931200 213874024320 237637804800 267342530400 356456707200 427748048640 534685060800 712913414400 1069370121600 2138740243200
- Sum of all divisors σ(n): 9150329341440
- Sum of proper divisors (its aliquot sum) s(n): 7011589098240
- 2138740243200 is an abundant number, because the sum of its proper divisors (7011589098240) is greater than itself. Its abundance is 4872848855040
Bases of 2138740243200
- Binary: 111110001111101101101101000111011000000002
- Hexadecimal: 0x1F1F6DA3B00
- Base-36: RAIUPXC0
Squares and roots of 2138740243200
- 2138740243200 squared (21387402432002) is 4574209827883195146240000
- 2138740243200 cubed (21387402432003) is 9783046639734734928262397165568000000
-
The
square root of 2138740243200 is 1462443.2444371987 -
The
cube root of 2138740243200 is 12884.0582739147
Scales and comparisons
How big is 2138740243200?- 2,138,740,243,200 seconds is equal to 68,005 years, 16 weeks, 6 days.
-
To count from 1 to 2,138,740,243,200 would take you about one hundred seventy thousand and thirteen 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 2138740243200 cubic inches would be around 1073.7 feet tall.
Recreational maths with 2138740243200
- 2138740243200 backwards is 0023420478312
- 2138740243200 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138740243200's digits is 36
- More coming soon!
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"Number 2138740243200 - Facts about the integer". Numbermatics.com. 2024. Web. 28 May 2024.
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Numbermatics. (2024). Number 2138740243200 - Facts about the integer. Retrieved 28 May 2024, from https://numbermatics.com/n/2138740243200/
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The information we have on file for 2138740243200 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 2138740243200, math, Factors of 2138740243200, curriculum, school, college, exams, university, Prime factorization of 2138740243200, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-eight billion, seven hundred forty million, two hundred forty-three thousand, two hundred.