2138390668800
2,138,390,668,800 is an even composite number composed of six prime numbers multiplied together.
2138390668800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 2138390668800:
29 × 35 × 52 × 17 × 37 × 1093
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 17 × 37 × 1093)See below for interesting mathematical facts about the number 2138390668800 from the Numbermatics database.
Names of 2138390668800
- Cardinal: 2138390668800 can be written as Two trillion, one hundred thirty-eight billion, three hundred ninety million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 2.1383906688 × 1012
Factors of 2138390668800
Divisors of 2138390668800
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 25 27 30 32 34 36 37 40 45 48 50 51 54 60 64 68 72 74 75 80 81 85 90 96 100 102 108 111 120 128 135 136 144 148 150 153 160 162 170 180 185 192 200 204 216 222 225 240 243 255 256 270 272 288 296 300 306 320 324 333 340 360 370 384 400 405 408 425 432 444 450 459 480 486 510 512 540 544 555 576 592 600 612 629 640 648 666 675 680 720 740 765 768 800 810 816 850 864 888 900 918 925 960 972 999 1020 1080 1088 1093 1110 1152 1184 1200 1215 1224 1258 1275 1280 1296 1332 1350 1360 1377 1440 1480 1530 1536 1600 1620 1632 1665 1700 1728 1776 1800 1836 1850 1887 1920 1944 1998 2025 2040 2160 2176 2186 2220 2295 2304 2368 2400 2430 2448 2516 2550 2560 2592 2664 2700 2720 2754 2775 2880 2960 2997 3060 3145 3200 3240 3264 3279 3330 3400 3456 3552 3600 3672 3700 3774 3825 3840 3888 3996 4050 4080 4131 4320 4352 4372 4440 4590 4608 4736 4800 4860 4896 4995 5032 5100 5184 5328 5400 5440 5465 5508 5550 5661 5760 5920 5994 6075 6120 6290 6400 6480 6528 6558 6660 6800 6885 6912 7104 7200 7344 7400 7548 7650 7680 7776 7992 8100 8160 8262 8325 8640 8704 8744 8880 8991 9180 9435 9472 9600 9720 9792 9837 9990 10064 10200 10368 10656 10800 10880 10930 11016 11100 11322 11475 11520 11840 11988 12150 12240 12580 12800 12960 13056 13116 13320 13600 13770 13824 14208 14400 14688 14800 14985 15096 15300 15552 15725 15984 16200 16320 16395 16524 16650 16983 17280 17488 17760 17982 18360 18581 18870 18944 19200 19440 19584 19674 19980 20128 20400 20655 20736 21312 21600 21760 21860 22032 22200 22644 22950 23040 23680 23976 24300 24480 24975 25160 25920 26112 26232 26640 27200 27325 27540 28305 28416 28800 29376 29511 29600 29970 30192 30600 31104 31450 31968 32400 32640 32790 33048 33300 33966 34425 34560 34976 35520 35964 36720 37162 37740 38400 38880 39168 39348 39960 40256 40441 40800 41310 41472 42624 43200 43520 43720 44064 44400 44955 45288 45900 47175 47360 47952 48600 48960 49185 49950 50320 50949 51840 52464 53280 54400 54650 55080 55743 56610 56832 57600 58752 59022 59200 59940 60384 61200 62208 62900 63936 64800 65280 65580 66096 66600 67932 68850 69120 69952 71040 71928 73440 74324 74925 75480 77760 78336 78696 79920 80512 80882 81600 81975 82620 84915 85248 86400 87440 88128 88533 88800 89910 90576 91800 92905 94350 94720 95904 97200 97920 98370 99900 100640 101898 103275 103680 104928 106560 108800 109300 110160 111486 113220 115200 117504 118044 118400 119880 120768 121323 122400 124416 125800 127872 129600 130560 131160 132192 133200 135864 137700 139904 141525 142080 143856 146880 147555 148648 149850 150960 152847 155520 157392 159840 161024 161764 163200 163950 165240 167229 169830 170496 172800 174880 176256 177066 177600 179820 181152 183600 185810 188700 191808 194400 195840 196740 199800 201280 202205 203796 206550 207360 209856 213120 217600 218600 220320 222972 224775 226440 235008 236088 236800 239760 241536 242646 244800 245925 251600 254745 255744 259200 262320 264384 265599 266400 271728 275400 278715 279808 283050 284160 287712 293760 295110 297296 299700 301920 305694 311040 314784 319680 322048 323528 326400 327900 330480 334458 339660 345600 349760 352512 354132 355200 359640 362304 363969 367200 371620 377400 383616 388800 391680 393480 399600 402560 404410 407592 413100 419712 424575 426240 437200 440640 442665 445944 449550 452880 464525 472176 473600 479520 483072 485292 489600 491850 501687 503200 509490 511488 518400 524640 528768 531198 532800 543456 550800 557430 559616 566100 575424 587520 590220 594592 599400 603840 606615 611388 622080 629568 639360 647056 652800 655800 660960 668916 679320 687497 699520 705024 708264 710400 719280 724608 727938 734400 737775 743240 754800 764235 767232 777600 786960 799200 805120 808820 815184 826200 836145 839424 849150 852480 874400 881280 885330 891888 899100 905760 929050 944352 959040 966144 970584 979200 983700 1003374 1006400 1011025 1018980 1036800 1049280 1057536 1062396 1065600 1086912 1091907 1101600 1114860 1132200 1150848 1175040 1180440 1189184 1198800 1207680 1213230 1222776 1259136 1273725 1278720 1294112 1311600 1321920 1327995 1337832 1358640 1374994 1393575 1399040 1416528 1420800 1438560 1449216 1455876 1468800 1475550 1486480 1505061 1509600 1528470 1534464 1555200 1573920 1598400 1610240 1617640 1630368 1652400 1672290 1678848 1698300 1748800 1762560 1770660 1783776 1798200 1811520 1819845 1858100 1888704 1918080 1941168 1958400 1967400 2006748 2012800 2022050 2037960 2062491 2098560 2115072 2124792 2131200 2173824 2183814 2203200 2213325 2229720 2264400 2301696 2360880 2378368 2397600 2415360 2426460 2445552 2508435 2518272 2547450 2557440 2588224 2623200 2643840 2655990 2675664 2717280 2749988 2787150 2798080 2833056 2877120 2898432 2911752 2937600 2951100 2972960 3010122 3019200 3033075 3056940 3110400 3147840 3196800 3235280 3260736 3275721 3304800 3344580 3396600 3437485 3497600 3525120 3541320 3567552 3596400 3623040 3639690 3716200 3777408 3821175 3836160 3882336 3934800 4013496 4025600 4044100 4075920 4124982 4180725 4197120 4249584 4262400 4347648 4367628 4406400 4426650 4459440 4515183 4528800 4603392 4721760 4756736 4795200 4830720 4852920 4891104 5016870 5036544 5094900 5176448 5246400 5287680 5311980 5351328 5434560 5459535 5499976 5574300 5666112 5754240 5823504 5875200 5902200 5945920 6020244 6038400 6066150 6113880 6187473 6295680 6393600 6470560 6521472 6551442 6609600 6639975 6689160 6793200 6874970 6995200 7082640 7135104 7192800 7246080 7279380 7432400 7525305 7554816 7642350 7672320 7764672 7869600 8026992 8051200 8088200 8151840 8249964 8361450 8394240 8499168 8695296 8735256 8812800 8853300 8918880 9030366 9057600 9099225 9443520 9513472 9590400 9705840 9782208 9827163 10033740 10189800 10312455 10352896 10492800 10575360 10623960 10702656 10869120 10919070 10999952 11148600 11332224 11508480 11647008 11804400 11891840 12040488 12076800 12132300 12227760 12374946 12542175 12591360 12787200 12941120 13042944 13102884 13219200 13279950 13378320 13586400 13749940 13990400 14165280 14270208 14385600 14492160 14558760 14864800 15050610 15109632 15284700 15529344 15739200 16053984 16176400 16303680 16378605 16499928 16722900 16998336 17187425 17470512 17625600 17706600 17837760 18060732 18115200 18198450 18562419 18887040 19180800 19411680 19564416 19654326 20067480 20379600 20624910 20705792 20985600 21247920 21405312 21738240 21838140 21999904 22297200 22575915 22664448 23016960 23294016 23608800 23783680 24080976 24153600 24264600 24455520 24749892 25084350 25182720 25882240 26085888 26205768 26438400 26559900 26756640 27172800 27297675 27499880 28330560 28540416 28771200 29117520 29729600 30101220 30569400 30937365 31058688 31478400 32107968 32352800 32607360 32757210 32999856 33445800 33996672 34374850 34941024 35413200 35675520 36121464 36230400 36396900 37124838 37626525 37774080 38361600 38823360 39128832 39308652 40134960 40759200 41249820 41971200 42495840 42810624 43476480 43676280 43999808 44594400 45151830 45328896 46588032 47217600 47567360 48161952 48529200 48911040 49135815 49499784 50168700 51562275 51764480 52411536 52876800 53119800 53513280 54345600 54595350 54999760 55687257 56661120 57542400 58235040 59459200 60202440 61138800 61874730 62117376 62956800 64215936 64705600 65214720 65514420 65999712 66891600 67993344 68749700 69882048 70826400 71351040 72242928 72460800 72793800 74249676 75253050 75548160 77646720 78257664 78617304 80269920 81518400 81893025 82499640 84991680 85621248 87352560 87999616 89188800 90303660 92812095 93176064 94435200 96323904 97058400 97822080 98271630 98999568 100337400 103124550 103528960 104823072 106239600 107026560 108691200 109190700 109999520 111374514 112879575 113322240 115084800 116470080 118918400 120404880 122277600 123749460 125913600 128431872 129411200 130429440 131028840 131999424 133783200 135986688 137499400 139764096 141652800 142702080 144485856 145587600 148499352 150506100 154686825 155293440 157234608 160539840 163036800 163786050 164999280 167061771 169983360 174705120 175999232 178377600 180607320 185624190 186352128 188870400 192647808 194116800 195644160 196543260 197999136 200674800 206249100 209646144 212479200 214053120 217382400 218381400 219999040 222749028 225759150 226644480 232940160 237836800 240809760 244555200 245679075 247498920 256863744 258822400 262057680 263998848 267566400 274998800 278436285 279528192 283305600 288971712 291175200 296998704 301012200 309373650 310586880 314469216 321079680 326073600 327572100 329998560 334123542 339966720 349410240 351998464 356755200 361214640 371248380 377740800 385295616 388233600 391288320 393086520 395998272 401349600 412498200 419292288 424958400 428106240 436762800 439998080 445498056 451518300 464060475 465880320 481619520 489110400 491358150 494997840 517644800 524115360 527997696 535132800 549997600 556872570 559056384 566611200 577943424 582350400 593997408 602024400 618747300 628938432 642159360 652147200 655144200 659997120 668247084 679933440 698820480 713510400 722429280 742496760 770591232 776467200 786173040 791996544 802699200 824996400 835308855 838584576 849916800 873525600 879996160 890996112 903036600 928120950 931760640 963239040 978220800 982716300 989995680 1048230720 1055995392 1070265600 1099995200 1113745140 1133222400 1155886848 1164700800 1187994816 1204048800 1237494600 1257876864 1284318720 1310288400 1319994240 1336494168 1392181425 1397640960 1444858560 1484993520 1552934400 1572346080 1583993088 1605398400 1649992800 1670617710 1677169152 1699833600 1747051200 1759992320 1781992224 1806073200 1856241900 1926478080 1956441600 1965432600 1979991360 2096461440 2140531200 2199990400 2227490280 2311773696 2329401600 2375989632 2408097600 2474989200 2515753728 2620576800 2639988480 2672988336 2784362850 2795281920 2889717120 2969987040 3144692160 3167986176 3210796800 3299985600 3341235420 3399667200 3494102400 3563984448 3612146400 3712483800 3852956160 3930865200 3959982720 4176544275 4192922880 4399980800 4454980560 4658803200 4751979264 4816195200 4949978400 5031507456 5241153600 5279976960 5345976672 5568725700 5779434240 5939974080 6289384320 6421593600 6599971200 6682470840 6988204800 7127968896 7224292800 7424967600 7861730400 7919965440 8353088550 8385845760 8799961600 8909961120 9503958528 9632390400 9899956800 10482307200 10691953344 11137451400 11558868480 11879948160 12578768640 13199942400 13364941680 13976409600 14255937792 14448585600 14849935200 15723460800 15839930880 16706177100 17819922240 19264780800 19799913600 20964614400 21383906688 22274902800 23759896320 25157537280 26399884800 26729883360 28511875584 28897171200 29699870400 31446921600 33412354200 35639844480 39599827200 41929228800 42767813376 44549805600 47519792640 53459766720 57794342400 59399740800 62893843200 66824708400 71279688960 79199654400 85535626752 89099611200 106919533440 118799481600 125787686400 133649416800 142559377920 178199222400 213839066880 237598963200 267298833600 356398444800 427678133760 534597667200 712796889600 1069195334400 2138390668800
- Sum of all divisors σ(n): 8637978821472
- Sum of proper divisors (its aliquot sum) s(n): 6499588152672
- 2138390668800 is an abundant number, because the sum of its proper divisors (6499588152672) is greater than itself. Its abundance is 4361197483872
Bases of 2138390668800
- Binary: 111110001111000100000010000100110000000002
- Hexadecimal: 0x1F1E2042600
- Base-36: RAD2LC00
Squares and roots of 2138390668800
- 2138390668800 squared (21383906688002) is 4572714652410911293440000
- 2138390668800 cubed (21383906688003) is 9778250343800528133196634652672000000
-
The
square root of 2138390668800 is 1462323.7222995457 -
The
cube root of 2138390668800 is 12883.3562746319
Scales and comparisons
How big is 2138390668800?- 2,138,390,668,800 seconds is equal to 67,994 years, 10 weeks, 6 days.
-
To count from 1 to 2,138,390,668,800 would take you about one hundred sixty-nine thousand, nine hundred eighty-five 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 2138390668800 cubic inches would be around 1073.6 feet tall.
Recreational maths with 2138390668800
- 2138390668800 backwards is 0088660938312
- 2138390668800 is a
Harshad number . - The number of decimal digits it has is: 13
- The sum of 2138390668800's digits is 54
- More coming soon!
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The information we have on file for 2138390668800 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 2138390668800, math, Factors of 2138390668800, curriculum, school, college, exams, university, Prime factorization of 2138390668800, STEM, science, technology, engineering, physics, economics, calculator, two trillion, one hundred thirty-eight billion, three hundred ninety million, six hundred sixty-eight thousand, eight hundred.