2137404818400
2,137,404,818,400 is an even composite number composed of eight prime numbers multiplied together.
2137404818400 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 2137404818400:
25 × 3 × 52 × 17 × 43 × 53 × 127 × 181
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 43 × 53 × 127 × 181)See below for interesting mathematical facts about the number 2137404818400 from the Numbermatics database.
Names of 2137404818400
- Cardinal: 2137404818400 can be written as Two trillion, one hundred thirty-seven billion, four hundred four million, eight hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.1374048184 × 1012
Factors of 2137404818400
Divisors of 2137404818400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 32 34 40 43 48 50 51 53 60 68 75 80 85 86 96 100 102 106 120 127 129 136 150 159 160 170 172 181 200 204 212 215 240 254 255 258 265 272 300 318 340 344 362 381 400 408 424 425 430 480 508 510 516 530 543 544 600 635 636 645 680 688 724 731 762 795 800 816 848 850 860 901 905 1016 1020 1032 1060 1075 1086 1200 1270 1272 1275 1290 1325 1360 1376 1448 1462 1524 1590 1632 1696 1700 1720 1802 1810 1905 2032 2040 2064 2120 2150 2159 2172 2193 2279 2400 2540 2544 2550 2580 2650 2703 2715 2720 2896 2924 3048 3077 3175 3180 3225 3400 3440 3604 3620 3655 3810 3975 4064 4080 4128 4240 4300 4318 4344 4386 4505 4525 4558 5080 5088 5100 5160 5300 5406 5430 5461 5792 5848 6096 6154 6350 6360 6450 6477 6731 6800 6837 6880 7208 7240 7310 7620 7783 7950 8160 8480 8600 8636 8688 8772 9010 9050 9116 9231 9525 9593 10160 10200 10320 10600 10795 10812 10860 10922 10965 11395 11696 12192 12308 12700 12720 12900 12954 13462 13515 13575 13600 13674 14416 14480 14620 15240 15385 15566 15900 16383 17200 17272 17376 17544 18020 18100 18232 18275 18462 19050 19186 20193 20320 20400 20640 21200 21590 21624 21720 21844 21930 22525 22790 22987 23349 23392 24616 25400 25440 25800 25908 26924 27030 27150 27305 27348 28779 28832 28960 29240 30480 30770 31132 31800 32385 32766 33655 34185 34400 34544 35088 36040 36200 36464 36550 36924 38100 38372 38743 38915 40386 40800 42400 43180 43248 43440 43688 43860 45050 45580 45974 46155 46698 47965 49232 50800 51600 51816 53848 53975 54060 54300 54610 54696 54825 56975 57558 58480 60960 61540 62264 63600 64770 65532 67310 67575 68370 68961 69088 70176 72080 72400 72928 73100 73848 76200 76744 76925 77486 77830 80772 81915 86360 86496 86880 87376 87720 90100 91160 91948 92310 92837 93396 95930 98464 100965 101600 103200 103632 107696 107950 108120 108600 109220 109392 109650 113950 114427 114935 115116 116229 116745 116960 123080 124528 127200 129540 131064 132311 134620 135150 136525 136740 137922 143895 144160 144800 146200 147696 152400 153488 153850 154972 155660 161544 161925 163081 163830 168275 170925 172720 174752 175440 180200 182320 183896 184620 185674 186792 191860 193715 194575 201930 207264 215392 215900 216240 217200 218440 218784 219300 227900 228854 229870 230232 230775 232458 233490 239825 246160 249056 259080 262128 264622 269240 270300 273050 273480 275844 278511 287790 289433 292400 295392 304800 306976 307700 309944 311320 323088 323850 326162 327660 336550 341850 343281 344805 345440 350880 360400 364640 367792 369240 371348 373584 383720 387430 389150 390779 396933 403860 409575 412499 431800 432480 434400 436880 438600 455800 457708 459740 460464 461550 464185 464916 466980 479650 489243 492320 504825 518160 524256 529244 538480 540600 546100 546960 551688 557022 572135 574675 575580 578866 581145 583725 584800 615400 619888 622640 646176 647700 652324 655320 661555 673100 683700 686562 689610 719475 720800 735584 738480 742696 747168 767440 774860 778300 781558 793866 807720 815405 819150 824998 863600 868299 873760 877200 911600 915416 919480 920928 923100 928370 929832 933960 959300 968575 978486 988441 1009650 1036320 1058488 1076960 1081200 1092200 1093920 1103376 1114044 1144270 1149350 1151160 1157732 1162290 1167450 1172337 1218311 1230800 1237497 1239776 1245280 1295400 1304648 1310640 1323110 1346200 1367400 1373124 1379220 1392555 1438950 1447165 1476960 1485392 1534880 1549720 1556600 1563116 1587732 1615440 1630810 1638300 1649996 1716405 1724025 1727200 1736598 1754400 1823200 1830832 1838960 1846200 1856740 1859664 1867920 1918600 1937150 1953895 1956972 1976882 1984665 2019300 2062495 2116976 2162400 2184400 2206752 2228088 2288540 2298700 2302320 2315464 2320925 2324580 2334900 2344674 2436622 2446215 2461600 2474994 2590800 2609296 2621280 2646220 2692400 2734800 2746248 2758440 2785110 2860675 2877900 2894330 2905725 2965323 2970784 3099440 3113200 3126232 3175464 3230880 3261620 3276600 3299992 3307775 3432810 3448050 3473196 3654933 3661664 3677920 3692400 3713480 3719328 3735840 3837200 3874300 3907790 3913944 3953764 3969330 4038600 4077025 4124990 4233952 4341495 4368800 4456176 4577080 4597400 4604640 4630928 4641850 4649160 4669800 4689348 4873244 4892430 4920361 4942205 4949988 5181600 5218592 5292440 5384800 5469600 5492496 5516880 5570220 5721350 5755800 5788660 5811450 5861685 5930646 6091555 6187485 6198880 6226400 6252464 6350928 6523240 6553200 6599984 6615550 6865620 6896100 6946392 6962775 7012483 7235825 7309866 7384800 7426960 7674400 7748600 7815580 7827888 7907528 7938660 8077200 8154050 8249980 8582025 8682990 8912352 9154160 9194800 9261856 9283700 9298320 9339600 9378696 9746488 9769475 9784860 9840722 9884410 9899976 9923325 10312475 10584880 10984992 11033760 11140440 11442700 11511600 11577320 11622900 11723370 11861292 12183110 12231075 12374970 12504928 12701856 13046480 13106400 13199968 13231100 13731240 13792200 13892784 13925550 14024966 14471650 14619732 14761083 14826615 14853920 15497200 15631160 15655776 15815056 15877320 16154400 16308100 16499960 16803497 17164050 17365980 18274665 18308320 18389600 18567400 18596640 18679200 18757392 19492976 19538950 19569720 19681444 19768820 19799952 19846650 20624950 20711287 21037449 21169760 21707475 22280880 22885400 23023200 23154640 23245800 23446740 23722584 24366220 24462150 24601805 24711025 24749940 26092960 26462200 27462480 27584400 27785568 27851100 28049932 28943300 29239464 29308425 29522166 29653230 30457775 30937425 30994400 31262320 31630112 31754640 32616200 32999920 33606994 34328100 34731960 35062415 36549330 37134800 37514784 38985952 39077900 39139440 39362888 39537640 39599904 39693300 41249900 41422574 42074898 43414950 44561760 45770800 46309280 46491600 46893480 47445168 48732440 48924300 49203610 49422050 49499880 50410491 52387373 52924400 54924960 55168800 55702200 56099864 57886600 58478928 58616850 59044332 59306460 60915550 61874850 62133861 62524640 63509280 65232400 65999840 67213988 68656200 69463920 70124830 73098660 73805415 74133075 74269600 78155800 78278880 78725776 79075280 79386600 82499800 82845148 84017485 84149796 86829900 91373325 91541600 92983200 93786960 94890336 97464880 97848600 98407220 98844100 98999760 100820982 103556435 104774746 105187245 105848800 111404400 112199728 115773200 116957856 117233700 118088664 118612920 121831100 123009025 123749700 124267722 130464800 134427976 137312400 138927840 140249660 146197320 147610830 148266150 156311600 157162119 157451552 158150560 158773200 164999600 165690296 168034970 168299592 173659800 175312075 182746650 187573920 194929760 195697200 196814440 197688200 197999520 201641964 207112870 209549492 210374490 222808800 224399456 231546400 234467400 236177328 237225840 243662200 246018050 247499400 248535444 252052455 261936865 268855952 274624800 280499320 292394640 295221660 296532300 310669305 312623200 314324238 317546400 329999200 331380592 336069940 336599184 347319600 350624150 365493300 369027075 391394400 393628880 395376400 403283928 414225740 419098984 420087425 420748980 468934800 472354656 474451680 487324400 492036100 494998800 497070888 504104910 517782175 523873730 525936225 537711904 560998640 584789280 590443320 593064600 621338610 628648476 662761184 672139880 673198368 694639200 701248300 730986600 738054150 785810595 787257760 790752800 806567856 828451480 838197968 840174850 841497960 890585341 937869600 974648800 984072200 989997600 994141776 1008209820 1035564350 1047747460 1051872450 1121997280 1180886640 1186129200 1242677220 1257296952 1260262275 1309684325 1344279760 1402496600 1461973200 1476108300 1553346525 1571621190 1613135712 1656902960 1676395936 1680349700 1682995920 1781170682 1968144400 1988283552 2016419640 2071128700 2095494920 2103744900 2361773280 2372258400 2485354440 2514593904 2520524550 2619368650 2671756023 2688559520 2804993200 2923946400 2952216600 3106693050 3143242380 3313805920 3360699400 3365991840 3562341364 3929052975 3936288800 4032839280 4142257400 4190989840 4207489800 4452926705 4970708880 5029187808 5041049100 5238737300 5343512046 5609986400 5904433200 6213386100 6286484760 6721398800 7124682728 7858105950 8065678560 8284514800 8381979680 8414979600 8905853410 9941417760 10082098200 10477474600 10687024092 11808866400 12426772200 12572969520 13358780115 13442797600 14249365456 15716211900 16569029600 16829959200 17811706820 20164196400 20954949200 21374048184 22264633525 24853544400 25145939040 26717560230 28498730912 31432423800 35623413640 40328392800 41909898400 42748096368 44529267050 49707088800 53435120460 62864847600 66793900575 71246827280 85496192736 89058534100 106870240920 125729695200 133587801150 142493654560 178117068200 213740481840 267175602300 356234136400 427480963680 534351204600 712468272800 1068702409200 2137404818400
- Sum of all divisors σ(n): 7783277838336
- Sum of proper divisors (its aliquot sum) s(n): 5645873019936
- 2137404818400 is an abundant number, because the sum of its proper divisors (5645873019936) is greater than itself. Its abundance is 3508468201536
Bases of 2137404818400
- Binary: 111110001101001110100000101000011111000002
- Hexadecimal: 0x1F1A74143E0
- Base-36: R9WRN4YO
Squares and roots of 2137404818400
- 2137404818400 squared (21374048184002) is 4568499357719536978560000
- 2137404818400 cubed (21374048184003) is 9764732540047043573791121493504000000
-
The
square root of 2137404818400 is 1461986.5999385905 -
The
cube root of 2137404818400 is 12881.3761228515
Scales and comparisons
How big is 2137404818400?- 2,137,404,818,400 seconds is equal to 67,962 years, 44 weeks, 5 days, 16 hours, 40 minutes.
-
To count from 1 to 2,137,404,818,400 would take you about one hundred sixty-nine thousand, nine hundred seven 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 2137404818400 cubic inches would be around 1073.4 feet tall.
Recreational maths with 2137404818400
- 2137404818400 backwards is 0048184047312
- The number of decimal digits it has is: 13
- The sum of 2137404818400's digits is 42
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 2137404818400 - Facts about the integer". Numbermatics.com. 2024. Web. 26 September 2024.
APA style:
Numbermatics. (2024). Number 2137404818400 - Facts about the integer. Retrieved 26 September 2024, from https://numbermatics.com/n/2137404818400/
Chicago style:
Numbermatics. 2024. "Number 2137404818400 - Facts about the integer". https://numbermatics.com/n/2137404818400/
The information we have on file for 2137404818400 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 2137404818400, math, Factors of 2137404818400, curriculum, school, college, exams, university, Prime factorization of 2137404818400, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-seven billion, four hundred four million, eight hundred eighteen thousand, four hundred.