42103704406400
42,103,704,406,400 is an even composite number composed of five prime numbers multiplied together.
42103704406400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 42103704406400:
27 × 52 × 73 × 132 × 613
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 61 × 61 × 61)See below for interesting mathematical facts about the number 42103704406400 from the Numbermatics database.
Names of 42103704406400
- Cardinal: 42103704406400 can be written as Forty-two trillion, one hundred three billion, seven hundred four million, four hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 4.21037044064 × 1013
Factors of 42103704406400
Divisors of 42103704406400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 32 35 40 49 50 52 56 61 64 65 70 80 91 98 100 104 112 122 128 130 140 160 169 175 182 196 200 208 224 244 245 260 280 305 320 325 338 343 350 364 392 400 416 427 448 455 488 490 520 560 610 637 640 650 676 686 700 728 784 793 800 832 845 854 896 910 976 980 1040 1120 1183 1220 1225 1274 1300 1352 1372 1400 1456 1525 1568 1586 1600 1664 1690 1708 1715 1820 1952 1960 2080 2135 2240 2275 2366 2440 2450 2548 2600 2704 2744 2800 2912 2989 3050 3136 3172 3185 3200 3380 3416 3430 3640 3721 3904 3920 3965 4160 4225 4270 4459 4480 4550 4732 4880 4900 5096 5200 5408 5488 5551 5600 5824 5915 5978 6100 6272 6344 6370 6760 6832 6860 7280 7442 7808 7840 7930 8281 8320 8450 8540 8575 8918 9100 9464 9760 9800 10192 10309 10400 10675 10816 10976 11102 11200 11648 11830 11956 12200 12688 12740 13520 13664 13720 14560 14884 14945 15680 15860 15925 16562 16900 17080 17150 17836 18200 18605 18928 19520 19600 19825 20384 20618 20800 20923 21350 21632 21952 22204 22295 22400 23660 23912 24400 25376 25480 26047 27040 27328 27440 27755 29120 29575 29768 29890 31360 31720 31850 33124 33800 34160 34300 35672 36400 37210 37856 38857 39040 39200 39650 40768 41236 41405 41600 41846 42700 43904 44408 44590 47320 47824 48373 48800 50752 50960 51545 52094 54080 54656 54880 55510 57967 58240 59150 59536 59780 63440 63700 66248 67600 68320 68600 71344 72163 72800 74420 74725 75712 77714 78400 79300 81536 82472 82810 83692 85400 88816 89180 93025 94640 95648 96746 97600 101504 101920 103090 104188 104615 108160 109760 111020 111475 115934 118300 119072 119560 126880 127400 130235 132496 135200 136640 137200 138775 142688 144326 145600 148840 149450 151424 155428 156800 158600 164944 165620 167384 170800 177632 178360 182329 186050 189280 191296 193492 194285 195200 203840 206180 207025 208376 209230 219520 222040 222950 226981 231868 236600 238144 239120 241865 253760 254800 257725 260470 264992 270400 271999 273280 274400 277550 285376 288652 289835 291200 297680 298900 310856 317200 329888 331240 334768 338611 341600 355264 356720 360815 364658 372100 378560 382592 386984 388570 407680 412360 414050 416752 418460 444080 445900 453962 463736 473200 476288 478240 483730 505141 507520 509600 515450 520940 523075 529984 540800 543998 548800 555100 570752 577304 579670 595360 597800 621712 628849 634400 651175 659776 662480 669536 677222 683200 710528 713440 721630 729316 744200 757120 773968 777140 824720 828100 833504 836920 888160 891800 907924 911645 927472 946400 956480 967460 971425 1010282 1019200 1030900 1041880 1046150 1059968 1087996 1097600 1110200 1134905 1154608 1159340 1190720 1195600 1209325 1243424 1257698 1268800 1276303 1302350 1319552 1324960 1339072 1354444 1359995 1366400 1426880 1443260 1449175 1458632 1488400 1547936 1554280 1588867 1649440 1656200 1667008 1673840 1693055 1776320 1783600 1804075 1815848 1823290 1854944 1892800 1912960 1934920 1942850 2020564 2038400 2061800 2083760 2092300 2175992 2220400 2269810 2309216 2318680 2370277 2381440 2391200 2418650 2486848 2515396 2525705 2537600 2552606 2604700 2649920 2678144 2708888 2719990 2853760 2886520 2898350 2917264 2950753 2976800 3095872 3108560 3144245 3177734 3298880 3312400 3334016 3347680 3386110 3535987 3552640 3567200 3608150 3631696 3646580 3709888 3785600 3869840 3885700 4041128 4123600 4167520 4184600 4351984 4401943 4440800 4539620 4558225 4618432 4637360 4740554 4782400 4837300 4973696 5030792 5051410 5105212 5209400 5299840 5417776 5439980 5674525 5773040 5796700 5834528 5901506 5953600 6191744 6217120 6288490 6355468 6381515 6597760 6624800 6695360 6772220 6799975 7071974 7134400 7216300 7263392 7293160 7419776 7739680 7771400 7944335 8082256 8247200 8335040 8369200 8465275 8703968 8803886 8881600 9079240 9116450 9236864 9274720 9481108 9564800 9674600 10061584 10102820 10210424 10418800 10835552 10879960 11122069 11349050 11546080 11593400 11669056 11803012 11851385 11907200 12434240 12576980 12628525 12710936 12763030 13249600 13390720 13544440 13599950 14143948 14268800 14432600 14526784 14586320 14753765 15479360 15542800 15721225 15888670 16164512 16494400 16591939 16670080 16738400 16930550 17407936 17607772 17679935 17763200 18158480 18232900 18549440 18962216 19349200 20123168 20205640 20420848 20655271 20837600 21671104 21759920 22009715 22244138 22698100 23092160 23186800 23338112 23606024 23702770 24868480 25153960 25257050 25421872 25526060 26499200 27088880 27199900 28287896 28865200 29053568 29172640 29507530 30813601 30958720 31085600 31442450 31777340 31907575 32329024 32988800 33183878 33476800 33861100 34815872 35215544 35359870 36316960 36465800 37098880 37924432 38359789 38698400 39721675 40246336 40411280 40841696 41310542 41675200 43342208 43519840 44019430 44488276 45396200 46184320 46373600 47212048 47405540 50307920 50514100 50843744 51052120 54177760 54399800 55610345 56575792 57730400 58345280 59015060 59256925 61627202 62171200 62884900 63554680 63815150 64658048 66367756 66953600 67722200 70431088 70719740 72633920 72931600 73768825 75848864 76719578 77396800 77854483 79443350 80492672 80822560 81683392 82621084 82959695 83350400 87039680 88038860 88399675 88976552 90792400 92747200 94424096 94811080 100615840 101028200 101687488 102104240 103276355 108355520 108799600 110048575 111220690 113151584 115460800 116690560 118030120 118513850 123254404 124342400 125769800 127109360 127630300 132735512 135444400 140862176 141439480 144586897 145267840 145863200 147537650 151697728 153439156 154068005 154793600 155708966 158886700 161645120 163366784 165242168 165919390 174079360 176077720 176799350 177953104 181584800 185494400 188848192 189622160 191798945 201231680 202056400 203374976 204208480 206552710 215695207 216711040 217599200 220097150 222441380 226303168 230921600 236060240 237027700 246508808 251539600 254218720 255260600 265471024 268518523 270888800 278051725 281724352 282878960 289173794 291726400 295075300 303395456 306878312 308136010 311417932 317773400 323290240 330484336 331838780 352155440 353598700 355906208 363169600 377696384 379244320 383597890 389272415 402463360 404112800 408416960 413105420 414798475 431390414 435198400 440194300 444882760 452606336 472120480 474055400 493017616 503079200 508437440 510521200 516381775 530942048 537037046 541777600 556103450 563448704 565757920 578347588 583452800 590150600 613756624 616272020 622835864 635546800 660968672 663677560 704310880 707197400 711812416 722934485 726339200 758488640 767195780 770340025 778544830 808225600 816833920 826210840 829596950 862780828 870396800 880388600 889765520 944240960 948110800 958994725 986035232 1006158400 1012108279 1016874880 1021042400 1032763550 1061884096 1074074092 1078476035 1083555200 1112206900 1131515840 1156695176 1180301200 1227513248 1232544040 1245671728 1271093600 1321937344 1327355120 1342592615 1408621760 1414394800 1423624832 1445868970 1516977280 1534391560 1540680050 1557089660 1616451200 1652421680 1659193900 1725561656 1760777200 1779531040 1879629661 1888481920 1896221600 1917989450 1946362075 1972070464 2012316800 2024216558 2042084800 2065527100 2123768192 2148148184 2156952070 2224413800 2263031680 2313390352 2360602400 2455026496 2465088080 2491343456 2542187200 2643874688 2654710240 2685185230 2817243520 2828789600 2891737940 3068783120 3081360100 3114179320 3304843360 3318387800 3451123312 3521554400 3559062080 3614672425 3759259322 3792443200 3835978900 3892724150 3944140928 4048433116 4084169600 4131054200 4296296368 4313904140 4448827600 4626780704 4721204800 4910052992 4930176160 4982686912 5060541395 5084374400 5309420480 5370370460 5392380175 5657579200 5783475880 6137566240 6162720200 6228358640 6609686720 6636775600 6712963075 6902246624 7043108800 7118124160 7229344850 7518518644 7584886400 7671957800 7785448300 8096866232 8262108400 8592592736 8627808280 8897655200 9253561408 9398148305 9442409600 9860352320 9965373824 10121082790 10618840960 10740740920 10784760350 11315158400 11566951760 12275132480 12325440400 12456717280 13157407627 13219373440 13273551200 13425926150 13804493248 14086217600 14458689700 15037037288 15343915600 15570896600 16193732464 16524216800 17185185472 17255616560 17795310400 18507122816 18796296610 19720704640 20242165580 21481481840 21569520700 23133903520 24550264960 24650880800 24913434560 25302706975 26314815254 26547102400 26851852300 27608986496 28917379400 30074074576 30687831200 31141793200 32387464928 33048433600 34370370944 34511233120 35590620800 37592593220 40484331160 42962963680 43139041400 46267807040 46990741525 49301761600 49826869120 50605413950 52629630508 53094204800 53703704600 57834758800 60148149152 61375662400 62283586400 64774929856 65787038135 66096867200 69022466240 75185186440 80968662320 85925927360 86278082800 92535614080 93981483050 98603523200 101210827900 105259261016 107407409200 115669517600 120296298304 122751324800 124567172800 129549859712 131574076270 138044932480 150370372880 161937324640 171851854720 172556165600 187962966100 202421655800 210518522032 214814818400 231339035200 240592596608 249134345600 263148152540 300740745760 323874649280 328935190675 345112331200 375925932200 404843311600 421037044064 429629636800 462678070400 526296305080 601481491520 647749298560 657870381350 690224662400 751851864400 809686623200 842074088128 859259273600 1052592610160 1202962983040 1315740762700 1503703728800 1619373246400 1684148176256 2105185220320 2631481525400 3007407457600 3238746492800 4210370440640 5262963050800 6014814915200 8420740881280 10525926101600 21051852203200 42103704406400
- Sum of all divisors σ(n): 133530665544000
- Sum of proper divisors (its aliquot sum) s(n): 91426961137600
- 42103704406400 is an abundant number, because the sum of its proper divisors (91426961137600) is greater than itself. Its abundance is 49323256731200
Bases of 42103704406400
- Binary: 10011001001011000010000101100001001001100000002
- Hexadecimal: 0x264B08584980
- Base-36: EXA6AINI8
Squares and roots of 42103704406400
- 42103704406400 squared (421037044064002) is 1772721924741506776360960000
- 42103704406400 cubed (421037044064003) is 74638159914060868040844410908934144000000
-
The
square root of 42103704406400 is 6488736.7342495873 -
The
cube root of 42103704406400 is 34788.8524007203
Scales and comparisons
How big is 42103704406400?- 42,103,704,406,400 seconds is equal to 1,338,767 years, 29 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 42,103,704,406,400 would take you about three million, three hundred forty-six thousand, nine hundred eighteen 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 42103704406400 cubic inches would be around 2899.1 feet tall.
Recreational maths with 42103704406400
- 42103704406400 backwards is 00460440730124
- 42103704406400 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42103704406400's digits is 35
- More coming soon!
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The information we have on file for 42103704406400 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!
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