2138972341401600
2,138,972,341,401,600 is an even composite number composed of six prime numbers multiplied together.
What does the number 2138972341401600 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1296 divisors.
2138972341401600 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 2138972341401600:
211 × 3 × 52 × 892 × 109 × 1272
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 89 × 89 × 109 × 127 × 127)See below for interesting mathematical facts about the number 2138972341401600 from the Numbermatics database.
Names of 2138972341401600
- Cardinal: 2138972341401600 can be written as Two quadrillion, one hundred thirty-eight trillion, nine hundred seventy-two billion, three hundred forty-one million, four hundred one thousand, six hundred.
Scientific notation
- Scientific notation: 2.1389723414016 × 1015
Factors of 2138972341401600
Divisors of 2138972341401600
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 89 96 100 109 120 127 128 150 160 178 192 200 218 240 254 256 267 300 320 327 356 381 384 400 436 445 480 508 512 534 545 600 635 640 654 712 762 768 800 872 890 960 1016 1024 1068 1090 1200 1270 1280 1308 1335 1424 1524 1536 1600 1635 1744 1780 1905 1920 2032 2048 2136 2180 2225 2400 2540 2560 2616 2670 2725 2848 3048 3072 3175 3200 3270 3488 3560 3810 3840 4064 4272 4360 4450 4800 5080 5120 5232 5340 5450 5696 6096 6144 6350 6400 6540 6675 6976 7120 7620 7680 7921 8128 8175 8544 8720 8900 9525 9600 9701 10160 10240 10464 10680 10900 11303 11392 12192 12700 12800 13080 13350 13843 13952 14240 15240 15360 15842 16129 16256 16350 17088 17440 17800 19050 19200 19402 20320 20928 21360 21800 22606 22784 23763 24384 25400 25600 26160 26700 27686 27904 28480 29103 30480 30720 31684 32258 32512 32700 33909 34176 34880 35600 38100 38400 38804 39605 40640 41529 41856 42720 43600 45212 45568 47526 48387 48505 48768 50800 51200 52320 53400 55372 55808 56515 56960 58206 60960 63368 64516 65024 65400 67818 68352 69215 69760 71200 76200 76800 77608 79210 80645 81280 83058 83712 85440 87200 90424 91136 95052 96774 97010 97536 101600 104640 106800 110744 111616 113030 113920 116412 118815 121920 126736 129032 130048 130800 135636 136704 138430 139520 142400 145515 152400 153600 155216 158420 161290 162560 166116 167424 169545 170880 174400 180848 182272 190104 193548 194020 195072 198025 203200 207645 209280 213600 221488 223232 226060 227840 232824 237630 241935 242525 243840 253472 258064 260096 261600 271272 273408 276860 279040 282575 284800 291030 304800 310432 316840 322580 325120 332232 334848 339090 341760 346075 348800 361696 380208 387096 388040 390144 396050 403225 406400 415290 418560 427200 442976 452120 455680 465648 475260 483870 485050 487680 506944 516128 523200 542544 546816 553720 558080 565150 569600 582060 594075 609600 620864 633680 645160 650240 664464 669696 678180 683520 692150 697600 723392 727575 760416 774192 776080 780288 792100 806450 812800 830580 837120 847725 854400 863389 885952 904240 911360 931296 950520 967740 970100 975360 1005967 1013888 1032256 1038225 1046400 1085088 1107440 1116160 1130300 1139200 1164120 1188150 1209675 1219200 1232027 1241728 1267360 1290320 1300480 1328928 1356360 1367040 1384300 1395200 1435481 1446784 1455150 1520832 1548384 1552160 1584200 1612900 1625600 1661160 1674240 1695450 1708800 1726778 1758061 1771904 1808480 1862592 1901040 1935480 1940200 1950720 2011934 2027776 2064512 2076450 2092800 2170176 2214880 2260600 2278400 2328240 2376300 2419350 2438400 2464054 2483456 2534720 2580640 2590167 2657856 2712720 2734080 2768600 2790400 2870962 2893568 2910300 3017901 3041664 3096768 3104320 3168400 3225800 3251200 3322320 3348480 3390900 3417600 3453556 3516122 3543808 3616960 3696081 3725184 3802080 3870960 3880400 3901440 4023868 4055552 4129024 4152900 4185600 4306443 4316945 4340352 4429760 4521200 4556800 4656480 4752600 4838700 4876800 4928108 4966912 5029835 5069440 5161280 5180334 5274183 5315712 5425440 5537200 5580800 5741924 5787136 5820600 6035802 6083328 6160135 6193536 6208640 6336800 6451600 6502400 6644640 6781800 6835200 6907112 7032244 7087616 7177405 7233920 7392162 7450368 7604160 7741920 7760800 8047736 8111104 8258048 8305800 8371200 8612886 8633890 8680704 8790305 8859520 9042400 9312960 9505200 9677400 9753600 9856216 9933824 10059670 10138880 10322560 10360668 10548366 10631424 10850880 11074400 11483848 11574272 11641200 12071604 12166656 12320270 12387072 12417280 12673600 12903200 12950835 13289280 13563600 13670400 13814224 14064488 14175232 14354810 14467840 14784324 14900736 15089505 15208320 15483840 15521600 16095472 16222208 16516096 16611600 16742400 17225772 17267780 17361408 17580610 17719040 18084800 18480405 18625920 19010400 19354800 19507200 19712432 19867648 20119340 20277760 20645120 20721336 21096732 21262848 21532215 21584725 21701760 22148800 22967696 23148544 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6750954240 6890308800 7017625792 7349662720 7510436592 7569573888 7665468540 7725826560 7823371450 7884972800 8176499776 8223780225 8288534400 8438692800 8772032240 8819595264 8841103360 9001272320 9187078400 9388045740 9461967360 9581835675 9657283200 10013915456 10220624720 10301102080 10526438688 10801526784 10965040300 11024494080 11051379200 11251590400 11735057175 11827459200 12264749664 12517394320 12615956480 12775780900 12876377600 13158048360 13261655040 13501908480 13780617600 13925601181 14035251584 14699325440 15020873184 15330937080 15451653120 15646742900 15769945600 16352999552 16447560450 16577068800 16877385600 17544064480 18002544640 18374156800 18776091480 18923934720 19163671350 19314566400 20027830912 20441249440 21052877376 21930080600 22048988160 22102758400 22503180800 23470114350 23654918400 24529499328 25034788640 25551561800 25752755200 26316096720 26523310080 27003816960 27561235200 27851202362 28070503168 30041746368 30661874160 30903306240 31293485800 31539891200 32705999104 32895120900 33154137600 33754771200 35088128960 36748313600 37552182960 37847869440 38327342700 38629132800 40055661824 40882498880 41776803543 42105754752 43860161200 44097976320 44205516800 45006361600 46940228700 47309836800 49058998656 50069577280 51103123600 51505510400 52632193440 54007633920 55122470400 55702404724 56141006336 60083492736 61323748320 62586971600 63079782400 65411998208 65790241800 66308275200 67509542400 69628005905 70176257920 73496627200 75104365920 76654685400 77258265600 80111323648 81764997760 83553607086 84211509504 87720322400 90012723200 93880457400 94619673600 98117997312 100139154560 102206247200 105264386880 110244940800 111404809448 112282012672 120166985472 122647496640 125173943200 130823996416 131580483600 132616550400 135019084800 139256011810 140352515840 150208731840 153309370800 154516531200 160222647296 163529995520 167107214172 168423019008 175440644800 187760914800 189239347200 196235994624 200278309120 204412494400 208884017715 210528773760 220489881600 222809618896 224564025344 240333970944 245294993280 250347886400 261647992832 263160967200 270038169600 278512023620 280705031680 300417463680 306618741600 320445294592 327059991040 334214428344 336846038016 348140029525 350881289600 375521829600 392471989248 400556618240 408824988800 417768035430 421057547520 445619237792 480667941888 490589986560 500695772800 526321934400 557024047240 561410063360 600834927360 613237483200 654119982080 668428856688 673692076032 696280059050 701762579200 751043659200 784943978496 801113236480 817649977600 835536070860 842115095040 891238475584 961335883776 981179973120 1001391545600 1044420088575 1052643868800 1114048094480 1122820126720 1201669854720 1226474966400 1308239964160 1336857713376 1392560118100 1403525158400 1502087318400 1602226472960 1635299955200 1671072141720 1684230190080 1782476951168 1962359946240 2002783091200 2088840177150 2105287737600 2228096188960 2403339709440 2452949932800 2673715426752 2785120236200 2807050316800 3004174636800 3270599910400 3342144283440 3368460380160 3564953902336 3924719892480 4005566182400 4177680354300 4210575475200 4456192377920 4806679418880 4905899865600 5347430853504 5570240472400 5614100633600 6008349273600 6541199820800 6684288566880 7129907804672 8011132364800 8355360708600 8421150950400 8912384755840 9811799731200 10694861707008 11140480944800 12016698547200 13368577133760 14259815609344 16710721417200 16842301900800 17824769511680 19623599462400 21389723414016 22280961889600 24033397094400 26737154267520 28519631218688 33421442834400 35649539023360 42779446828032 44561923779200 53474308535040 66842885668800 71299078046720 85558893656064 89123847558400 106948617070080 133685771337600 142598156093440 178247695116800 213897234140160 267371542675200 356495390233600 427794468280320 534743085350400 712990780467200 1069486170700800 2138972341401600
- Sum of all divisors σ(n): 7274370449946600
- Sum of proper divisors (its aliquot sum) s(n): 5135398108545000
- 2138972341401600 is an abundant number, because the sum of its proper divisors (5135398108545000) is greater than itself. Its abundance is 2996425767143400
Bases of 2138972341401600
- Binary: 1111001100101100010010011101001011111111000000000002
- Hexadecimal: 0x799624E97F800
- Base-36: L27ABTFVUO
Squares and roots of 2138972341401600
- 2138972341401600 squared (21389723414016002) is 4575202677281042865452482560000
- 2138972341401600 cubed (21389723414016003) is 9786231983010701168034311460390589956096000000
-
The
square root of 2138972341401600 is 46249025.3021790721 -
The
cube root of 2138972341401600 is 128845.2432062885
Scales and comparisons
How big is 2138972341401600?- 2,138,972,341,401,600 seconds is equal to 68,012,704 years, 9 weeks, 2 days, 18 hours, 40 minutes.
-
To count from 1 to 2,138,972,341,401,600 would take you about two hundred four million, thirty-eight thousand, one hundred twelve 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 2138972341401600 cubic inches would be around 10737.1 feet tall.
Recreational maths with 2138972341401600
- 2138972341401600 backwards is 0061041432798312
- The number of decimal digits it has is: 16
- The sum of 2138972341401600's digits is 51
- More coming soon!
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"Number 2138972341401600 - Facts about the integer". Numbermatics.com. 2024. Web. 19 June 2024.
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Numbermatics. (2024). Number 2138972341401600 - Facts about the integer. Retrieved 19 June 2024, from https://numbermatics.com/n/2138972341401600/
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The information we have on file for 2138972341401600 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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