2138216400320
2,138,216,400,320 is an even composite number composed of seven prime numbers multiplied together.
2138216400320 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, five hundred twelve divisors.
Prime factorization of 2138216400320:
26 × 5 × 7 × 112 × 13 × 192 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 11 × 11 × 13 × 19 × 19 × 41 × 41)See below for interesting mathematical facts about the number 2138216400320 from the Numbermatics database.
Names of 2138216400320
- Cardinal: 2138216400320 can be written as Two trillion, one hundred thirty-eight billion, two hundred sixteen million, four hundred thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.13821640032 × 1012
Factors of 2138216400320
Divisors of 2138216400320
- Number of divisors d(n): 1512
-
Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 19 20 22 26 28 32 35 38 40 41 44 52 55 56 64 65 70 76 77 80 82 88 91 95 104 110 112 121 130 133 140 143 152 154 160 164 176 182 190 205 208 209 220 224 242 247 260 266 280 286 287 304 308 320 328 352 361 364 380 385 410 416 418 440 448 451 455 484 494 520 532 533 560 572 574 605 608 616 656 665 704 715 722 728 760 770 779 820 832 836 847 880 902 910 968 988 1001 1040 1045 1064 1066 1120 1144 1148 1210 1216 1232 1235 1312 1330 1430 1435 1444 1456 1463 1520 1540 1558 1573 1640 1672 1681 1694 1729 1760 1804 1805 1820 1936 1976 2002 2080 2090 2128 2132 2240 2255 2288 2296 2299 2420 2464 2470 2527 2624 2660 2665 2717 2860 2870 2888 2912 2926 3040 3080 3116 3146 3157 3280 3344 3362 3388 3458 3520 3608 3610 3640 3731 3872 3895 3952 3971 4004 4160 4180 4235 4256 4264 4510 4576 4592 4598 4693 4840 4928 4940 4961 5005 5054 5320 5330 5434 5453 5720 5740 5776 5824 5852 5863 6080 6160 6232 6292 6314 6560 6688 6724 6776 6916 7216 7220 7280 7315 7462 7744 7790 7865 7904 7942 8008 8360 8405 8470 8512 8528 8569 8645 9020 9152 9184 9196 9386 9680 9880 9922 10010 10108 10127 10640 10660 10868 10906 11011 11440 11480 11495 11552 11704 11726 11767 12320 12464 12584 12628 12635 13120 13376 13448 13552 13585 13832 14432 14440 14560 14630 14801 14924 15580 15730 15785 15808 15884 16016 16093 16720 16810 16940 17056 17138 17290 18040 18368 18392 18491 18655 18772 19019 19360 19760 19844 19855 20020 20216 20254 21280 21320 21736 21812 21853 22022 22880 22960 22990 23104 23408 23452 23465 23534 24640 24805 24928 25168 25256 25270 26896 27104 27170 27265 27664 27797 28864 28880 29120 29260 29315 29602 29848 29887 31160 31460 31570 31768 31939 32032 32186 32851 33440 33620 33880 34112 34276 34580 34727 36080 36784 36982 37310 37544 38038 38720 39520 39688 39710 40040 40432 40508 41041 42560 42640 42845 43472 43624 43681 43706 44044 45760 45920 45980 46816 46904 46930 47068 49610 49856 50336 50512 50540 50635 51623 53792 54208 54340 54530 55055 55328 55594 57760 58520 58630 58835 59204 59696 59774 59983 62320 62920 63140 63536 63878 64064 64372 64493 65702 66880 67240 67760 68552 69160 69454 70889 72160 73568 73964 74005 74620 75088 76076 79040 79376 79420 80080 80465 80864 81016 82082 85280 85690 86944 87248 87362 87412 88088 91840 91960 92455 93632 93808 93860 94136 94259 95095 99220 100672 101024 101080 101270 103246 103607 107584 108680 109060 109265 110110 110656 111188 111397 115520 117040 117260 117670 118408 119392 119548 119966 124640 125840 126280 127072 127756 128744 128986 129437 131404 134480 135520 137104 138320 138908 138985 141778 144320 147136 147928 148010 149240 149435 150176 152152 152971 158752 158840 159695 160160 160930 161728 162032 162811 164164 164255 170560 171380 173635 173888 174496 174724 174824 176176 183920 184910 187616 187720 188272 188518 190190 192413 198440 202048 202160 202540 203401 205205 206492 207214 209209 217360 218120 218405 218530 220220 222376 222794 223573 234080 234520 235340 236816 238784 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830414 836836 869440 872480 873620 874120 880880 889504 891176 894292 902902 938080 941360 942590 947264 956384 959728 961532 962065 1010240 1017005 1022048 1029952 1031888 1032460 1035496 1036070 1046045 1051232 1111264 1111880 1113970 1117865 1134224 1135706 1139677 1183424 1184080 1193920 1195480 1199660 1201915 1213682 1217216 1223068 1223768 1225367 1270720 1277560 1287440 1289860 1294370 1302488 1313312 1314040 1319626 1346891 1371040 1389080 1397792 1398592 1405316 1417780 1423807 1445444 1479280 1501760 1508144 1521520 1528835 1529710 1539304 1559558 1587520 1620320 1627208 1628110 1641640 1651936 1657712 1660828 1673672 1682681 1744960 1747240 1748240 1756645 1761760 1779008 1782352 1788584 1790921 1805804 1806805 1876160 1882720 1885180 1912768 1919456 1923064 1924130 2034010 2044096 2063776 2064920 2070992 2072140 2076035 2092090 2102464 2116543 2222528 2223760 2227940 2235730 2257255 2268448 2271412 2279354 2368160 2390960 2399320 2403830 2427364 2446136 2447536 2450734 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67307240 67729376 67966192 68620552 71543360 71636840 72232160 72939328 73076432 73427761 74037964 74079005 76922560 77292380 78423488 78697696 78889330 79499420 84614816 84661720 84957740 85775690 86201024 86778263 90856480 91123648 91174160 91345540 92547455 93006368 93127892 93453514 97094560 97845440 98029360 98372120 100291576 100480094 105570080 105768520 106804016 107691584 107751280 108209332 110445062 112425280 113904560 114618944 115635520 116257960 116409865 118526408 123667808 124764640 125364470 126222928 127199072 127883756 132866240 133505020 134614480 135261665 135458752 135932384 137241104 143273680 144464320 146152864 146855522 148075928 148158010 154584760 157395392 157778660 158998840 159854695 162973811 169229632 169323440 169915480 171551380 173556526 181712960 182348320 182691080 185094910 186012736 186255784 186907028 194189120 196058720 196744240 200583152 200960188 211140160 211537040 213608032 215502560 216418664 220890124 227809120 232515920 232819730 233633785 237052816 247335616 249529280 250728940 251200235 252445856 254398144 255767512 267010040 269228960 270523330 271864768 274482208 276112655 286547360 292305728 293711044 296151856 296316020 309169520 315557320 317997680 319709390 325947622 338646880 339830960 343102760 347113052 351680329 364696640 365382160 367138805 370189820 372511568 373814056 392117440 393488480 401166304 401920376 423074080 427216064 431005120 432837328 433891315 441780248 455618240 465031840 465639460 467267570 474105632 501457880 502400470 504891712 511535024 513994327 534020080 538457920 541046660 548964416 552225310 573094720 587422088 592303712 592632040 607447841 618339040 631114640 635995360 639418780 651895244 677293760 679661920 686205520 694226104 703360658 730764320 734277610 740379640 745023136 747628112 786976960 802332608 803840752 814869055 846148160 865674656 867782630 883560496 930063680 931278920 934535140 948211264 954560893 1002915760 1004800940 1023070048 1027988654 1068040160 1082093320 1104450620 1174844176 1184607424 1185264080 1214895682 1236678080 1262229280 1271990720 1278837560 1303790488 1359323840 1372411040 1388452208 1406721316 1461528640 1468555220 1480759280 1490046272 1495256224 1607681504 1629738110 1731349312 1735565260 1758401645 1767120992 1862557840 1869070280 1909121786 2005831520 2009601880 2046140096 2055977308 2136080320 2164186640 2208901240 2349688352 2370528160 2429791364 2524458560 2557675120 2569971635 2607580976 2744822080 2776904416 2813442632 2937110440 2961518560 2990512448 3037239205 3215363008 3259476220 3471130520 3516803290 3534241984 3725115680 3738140560 3818243572 4011663040 4019203760 4111954616 4328373280 4417802480 4699376704 4741056320 4772804465 4859582728 5115350240 5139943270 5215161952 5553808832 5626885264 5874220880 5923037120 6074478410 6518952440 6681926251 6942261040 7033606580 7450231360 7476281120 7636487144 8038407520 8223909232 8656746560 8835604960 9545608930 9719165456 10230700480 10279886540 10430323904 11253770528 11748441760 12148956820 13037904880 13363852502 13884522080 14067213160 14952562240 15272974288 16076815040 16447818464 17671209920 19091217860 19438330912 20559773080 22507541056 23496883520 24297913640 26075809760 26727705004 27769044160 28134426320 30545948576 32895636928 33409631255 38182435720 38876661824 41119546160 48595827280 52151619520 53455410008 56268852640 61091897152 66819262510 76364871440 82239092320 97191654560 106910820016 112537705280 133638525020 152729742880 164478184640 194383309120 213821640032 267277050040 305459485760 427643280064 534554100080 1069108200160 2138216400320
- Sum of all divisors σ(n): 7451348710176
- Sum of proper divisors (its aliquot sum) s(n): 5313132309856
- 2138216400320 is an abundant number, because the sum of its proper divisors (5313132309856) is greater than itself. Its abundance is 3174915909536
Bases of 2138216400320
- Binary: 111110001110101111010000100000101110000002
- Hexadecimal: 0x1F1D7A105C0
- Base-36: RAA6U5KW
Squares and roots of 2138216400320
- 2138216400320 squared (21382164003202) is 4571969374597418496102400
- 2138216400320 cubed (21382164003203) is 9775859898524973825900661678112768000
-
The
square root of 2138216400320 is 1462264.1349359561 -
The
cube root of 2138216400320 is 12883.0062880835
Scales and comparisons
How big is 2138216400320?- 2,138,216,400,320 seconds is equal to 67,988 years, 34 weeks, 5 days, 5 minutes, 20 seconds.
-
To count from 1 to 2,138,216,400,320 would take you about one hundred sixty-nine thousand, nine hundred seventy-one 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 2138216400320 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138216400320
- 2138216400320 backwards is 0230046128312
- 2138216400320 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138216400320's digits is 32
- More coming soon!
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"Number 2138216400320 - Facts about the integer". Numbermatics.com. 2024. Web. 24 May 2024.
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Numbermatics. (2024). Number 2138216400320 - Facts about the integer. Retrieved 24 May 2024, from https://numbermatics.com/n/2138216400320/
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The information we have on file for 2138216400320 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 2138216400320, math, Factors of 2138216400320, curriculum, school, college, exams, university, Prime factorization of 2138216400320, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-eight billion, two hundred sixteen million, four hundred thousand, three hundred twenty.