2142678938400
2,142,678,938,400 is an even composite number composed of six prime numbers multiplied together.
2142678938400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, eight hundred eighty-eight divisors.
Prime factorization of 2142678938400:
25 × 35 × 52 × 72 × 113 × 132
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 7 × 11 × 11 × 11 × 13 × 13)See below for interesting mathematical facts about the number 2142678938400 from the Numbermatics database.
Names of 2142678938400
- Cardinal: 2142678938400 can be written as Two trillion, one hundred forty-two billion, six hundred seventy-eight million, nine hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.1426789384 × 1012
Factors of 2142678938400
Divisors of 2142678938400
- Number of divisors d(n): 3888
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 18 20 21 22 24 25 26 27 28 30 32 33 35 36 39 40 42 44 45 48 49 50 52 54 55 56 60 63 65 66 70 72 75 77 78 80 81 84 88 90 91 96 98 99 100 104 105 108 110 112 117 120 121 126 130 132 135 140 143 144 147 150 154 156 160 162 165 168 169 175 176 180 182 189 195 196 198 200 208 210 216 220 224 225 231 234 240 242 243 245 252 260 264 270 273 275 280 286 288 294 297 300 308 312 315 324 325 330 336 338 350 351 352 360 363 364 378 385 390 392 396 400 405 416 420 429 432 440 441 450 455 462 468 480 484 486 490 495 504 507 520 525 528 539 540 546 550 560 567 572 585 588 594 600 605 616 624 630 637 648 650 660 672 675 676 693 700 702 715 720 726 728 735 756 770 780 784 792 800 810 819 825 840 845 847 858 864 880 882 891 900 910 924 936 945 968 972 975 980 990 1001 1008 1014 1040 1050 1053 1056 1078 1080 1089 1092 1100 1120 1134 1144 1155 1170 1176 1183 1188 1200 1210 1215 1225 1232 1248 1260 1274 1287 1296 1300 1320 1323 1331 1350 1352 1365 1386 1400 1404 1430 1440 1452 1456 1470 1485 1512 1521 1540 1560 1568 1573 1575 1584 1617 1620 1638 1650 1680 1690 1694 1701 1716 1755 1760 1764 1782 1800 1815 1820 1848 1859 1872 1890 1911 1925 1936 1944 1950 1960 1980 2002 2016 2025 2028 2079 2080 2100 2106 2145 2156 2160 2178 2184 2200 2205 2268 2275 2288 2310 2340 2352 2366 2376 2400 2420 2430 2450 2457 2464 2475 2520 2535 2541 2548 2574 2592 2600 2640 2646 2662 2673 2695 2700 2704 2730 2772 2800 2808 2835 2860 2904 2912 2925 2940 2970 3003 3024 3025 3042 3080 3120 3146 3150 3159 3168 3185 3234 3240 3267 3276 3300 3360 3380 3388 3402 3432 3465 3510 3528 3549 3564 3575 3600 3630 3640 3675 3696 3718 3744 3780 3822 3850 3861 3872 3888 3900 3920 3960 3969 3993 4004 4050 4056 4095 4158 4200 4212 4225 4235 4290 4312 4320 4356 4368 4400 4410 4455 4536 4550 4563 4576 4620 4680 4704 4719 4725 4732 4752 4840 4851 4860 4900 4914 4950 5005 5040 5070 5082 5096 5148 5200 5265 5280 5292 5324 5346 5390 5400 5408 5445 5460 5544 5577 5600 5616 5670 5720 5733 5775 5808 5850 5880 5915 5929 5940 6006 6048 6050 6075 6084 6160 6237 6240 6292 6300 6318 6370 6435 6468 6480 6534 6552 6600 6615 6655 6760 6776 6804 6825 6864 6930 7007 7020 7056 7098 7128 7150 7200 7260 7280 7350 7371 7392 7425 7436 7560 7605 7623 7644 7700 7722 7776 7800 7840 7865 7920 7938 7986 8008 8085 8100 8112 8190 8281 8316 8400 8424 8450 8470 8505 8580 8624 8712 8736 8775 8800 8820 8910 9009 9072 9075 9100 9126 9240 9295 9317 9360 9438 9450 9464 9504 9555 9680 9702 9720 9800 9801 9828 9900 10010 10080 10140 10164 10192 10296 10395 10400 10530 10584 10647 10648 10692 10725 10780 10800 10890 10920 11011 11025 11088 11154 11232 11340 11440 11466 11550 11583 11616 11700 11760 11830 11858 11880 11907 11979 12012 12100 12150 12168 12285 12320 12474 12584 12600 12636 12675 12705 12740 12870 12936 12960 13013 13068 13104 13200 13230 13310 13365 13475 13520 13552 13608 13650 13689 13728 13860 14014 14040 14112 14157 14175 14196 14256 14300 14520 14553 14560 14700 14742 14850 14872 15015 15120 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140873040 141711570 142702560 144074700 144288144 145345200 145760472 147162015 147232800 147567420 149837688 150300150 150935400 151159008 151351200 151833825 152612460 152895600 154594440 156080925 156525600 156972816 157457300 158107950 158482170 159011424 160320160 160982640 161956080 162324162 163513350 163963800 164656800 165330165 165636900 166486320 168185160 168648480 169047648 169569400 170053884 170270100 171771600 173918745 174414240 176091300 176352176 177080904 178378200 178869600 179951200 180360180 180694800 181122480 182200590 183134952 184459275 184984800 185513328 186872400 187297110 188948760 190765575 192099600 193243050 194347296 194594400 196216020 196756560 198396198 198764280 199783584 200400200 201228300 201247200 202445100 203483280 206026821 206125920 208107900 210231450 210810600 211309560 212567355 214053840 216432216 218017800 218618400 218640708 220440220 220849200 221351130 224246880 225450225 226403100 226738512 227026800 228918690 229975200 230519520 231891660 234788400 235459224 236107872 236185950 237837600 240480240 242934120 243486243 244179936 245270025 245945700 248455350 249729480 251931680 252972720 253571472 254354100 255080826 257657400 258746400 261621360 264136950 264528264 265019040 267567300 268304400 269926800 270540270 272432160 273300885 274702428 275550275 277477200 278269992 280308600 281080800 281746080 283423140 288149400 288576288 289864575 290690400 291520944 294324030 295134840 297594297 299675376 300600300 301870800 303667650 305224920 305791200 309188880 312161850 313945632 314914600 316215900 316964340 321965280 323912160 324648324 327026700 327927600 330660330 331273800 332972640 336370320 339138800 340107768 340540200 343378035 343543200 347837490 352182600 352704352 354161808 354278925 356756400 360720360 361389600 362244960 364401180 366269904 368918550 371026656 373744800 374594220 377897520 381531150 382621239 384199200 386486100 392432040 393513120 396205425 396792396 397528560 400800400 402456600 404890200 405810405 406966560 412053642 416215800 420462900 421621200 422619120 425134710 428107680 432864432 436035600 437281416 440880440 441698400 442702260 450900450 452806200 453477024 454053600 455501475 457837380 463783320 468242775 469576800 470918448 472371900 480960480 485868240 486972486 490540050 491891400 495990495 496910700 499458960 505945440 507142944 508708200 510161652 515314800 523242720 528273900 529056528 535134600 536608800 539853600 541080540 546601770 549404856 551100550 553377825 554954400 556539984 560617200 566846280 572296725 576298800 579729150 583041888 588648060 590269680 595188594 599350752 601200600 603741600 607335300 610449840 618377760 624323700 629829200 632431800 633928680 637702065 649296648 654053400 655855200 661320660 662547600 672740640 676350675 678277600 680215536 681080400 686756070 695674980 704365200 708323616 708557850 713512800 721440720 728802360 732539808 735810075 737837100 749188440 755795040 763062300 765242478 772972200 784864080 792410850 793584792 795057120 801600800 804913200 809780400 811620810 824107284 826650825 832431600 840925800 843242400 845238240 850269420 865728864 869593725 872071200 874562832 881760880 885404520 892782891 901800900 905612400 911002950 915674760 927566640 936485550 941836896 944743800 971736480 973944972 981080100 983782800 991980990 993821400 998917920 1017416400 1020323304 1030134105 1030629600 1056547800 1058113056 1062836775 1070269200 1082161080 1093203540 1098809712 1102201100 1106755650 1113079968 1121234400 1133692560 1144593450 1152597600 1159458300 1177296120 1180539360 1190377188 1202401200 1214670600 1217431215 1220899680 1248647400 1259658400 1264863600 1267857360 1275404130 1298593296 1308106800 1322641320 1325095200 1352701350 1360431072 1362160800 1366504425 1373512140 1391349960 1408730400 1417115700 1442881440 1457604720 1471620150 1475674200 1487971485 1498376880 1526124600 1530484956 1545944400 1569728160 1584821700 1587169584 1609826400 1619560800 1623241620 1648214568 1653301650 1664863200 1681851600 1700538840 1716890175 1739187450 1749125664 1763521760 1770809040 1785565782 1803601800 1811224800 1822005900 1831349520 1855133280 1872971100 1889487600 1913106195 1947889944 1962160200 1967565600 1983961980 1987642800 2029052025 2034832800 2040646608 2060268210 2113095600 2125673550 2140538400 2164322160 2186407080 2197619424 2204402200 2213511300 2267385120 2289186900 2318916600 2354592240 2380754376 2404802400 2429341200 2434862430 2479952475 2497294800 2529727200 2535714720 2550808260 2597186592 2616213600 2645282640 2678348673 2705402700 2733008850 2747024280 2782699920 2834231400 2915209440 2943240300 2951348400 2975942970 2996753760 3052249200 3060969912 3091888800 3169643400 3174339168 3188510325 3246483240 3296429136 3306603300 3363703200 3401077680 3433780350 3478374900 3541618080 3571131564 3607203600 3644011800 3662699040 3745942200 3778975200 3826212390 3895779888 3924320400 3967923960 3975285600 4058104050 4081293216 4120536420 4226191200 4251347100 4328644320 4372814160 4408804400 4427022600 4463914455 4578373800 4637833200 4709184480 4761508752 4858682400 4869724860 4959904950 4994589600 5101616520 5150670525 5290565280 5356697346 5410805400 5466017700 5494048560 5565399840 5668462800 5886480600 5902696800 5951885940 6087156075 6104498400 6121939824 6339286800 6377020650 6492966480 6592858272 6613206600 6802155360 6867560700 6956749800 7142263128 7214407200 7288023600 7439857425 7491884400 7652424780 7791559776 7848640800 7935847920 8116208100 8241072840 8502694200 8745628320 8817608800 8854045200 8927828910 9156747600 9275666400 9523017504 9565530975 9739449720 9919809900 10203233040 10301341050 10713394692 10821610800 10932035400 10988097120 11336925600 11772961200 11903771880 12174312150 12243879648 12678573600 12754041300 12985932960 13226413200 13391743365 13735121400 13913499600 14284526256 14576047200 14879714850 14983768800 15304849560 15871695840 16232416200 16482145680 17005388400 17708090400 17855657820 18313495200 19131061950 19478899440 19839619800 20406466080 20602682100 21426789384 21643221600 21864070800 22319572275 23545922400 23807543760 24348624300 25508082600 26452826400 26783486730 27470242800 27826999200 28569052512 29759429700 30609699120 32464832400 32964291360 34010776800 35711315640 38262123900 38957798880 39679239600 41205364200 42853578768 43728141600 44639144550 47615087520 48697248600 51016165200 53566973460 54940485600 59518859400 61219398240 64929664800 66958716825 71422631280 76524247800 79358479200 82410728400 85707157536 89278289100 97394497200 102032330400 107133946920 119037718800 133917433650 142845262560 153048495600 164821456800 178556578200 194788994400 214267893840 238075437600 267834867300 306096991200 357113156400 428535787680 535669734600 714226312800 1071339469200 2142678938400
- Sum of all divisors σ(n): 10856020357728
- Sum of proper divisors (its aliquot sum) s(n): 8713341419328
- 2142678938400 is an abundant number, because the sum of its proper divisors (8713341419328) is greater than itself. Its abundance is 6570662480928
Bases of 2142678938400
- Binary: 111110010111000011001110111110011001000002
- Hexadecimal: 0x1F2E19DF320
- Base-36: RCBZPU00
Squares and roots of 2142678938400
- 2142678938400 squared (21426789384002) is 4591073033062950994560000
- 2142678938400 cubed (21426789384003) is 9837195492600191937395044975104000000
-
The
square root of 2142678938400 is 1463789.2397473073 -
The
cube root of 2142678938400 is 12891.9624999395
Scales and comparisons
How big is 2142678938400?- 2,142,678,938,400 seconds is equal to 68,130 years, 29 weeks, 1 day, 18 hours.
-
To count from 1 to 2,142,678,938,400 would take you about one hundred seventy thousand, three hundred twenty-six 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 2142678938400 cubic inches would be around 1074.3 feet tall.
Recreational maths with 2142678938400
- 2142678938400 backwards is 0048398762412
- 2142678938400 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2142678938400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 2142678938400 - Facts about the integer". Numbermatics.com. 2024. Web. 5 May 2024.
APA style:
Numbermatics. (2024). Number 2142678938400 - Facts about the integer. Retrieved 5 May 2024, from https://numbermatics.com/n/2142678938400/
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Numbermatics. 2024. "Number 2142678938400 - Facts about the integer". https://numbermatics.com/n/2142678938400/
The information we have on file for 2142678938400 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 2142678938400, math, Factors of 2142678938400, curriculum, school, college, exams, university, Prime factorization of 2142678938400, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred forty-two billion, six hundred seventy-eight million, nine hundred thirty-eight thousand, four hundred.