136142105131200
136,142,105,131,200 is an even composite number composed of five prime numbers multiplied together.
136142105131200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred eighty-two divisors.
Prime factorization of 136142105131200:
26 × 3 × 52 × 76 × 4912
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 491 × 491)See below for interesting mathematical facts about the number 136142105131200 from the Numbermatics database.
Names of 136142105131200
- Cardinal: 136142105131200 can be written as One hundred thirty-six trillion, one hundred forty-two billion, one hundred five million, one hundred thirty-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.361421051312 × 1014
Factors of 136142105131200
Divisors of 136142105131200
- Number of divisors d(n): 882
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 140 147 150 160 168 175 192 196 200 210 224 240 245 280 294 300 320 336 343 350 392 400 420 448 480 490 491 525 560 588 600 672 686 700 735 784 800 840 960 980 982 1029 1050 1120 1176 1200 1225 1344 1372 1400 1470 1473 1568 1600 1680 1715 1960 1964 2058 2100 2240 2352 2400 2401 2450 2455 2744 2800 2940 2946 3136 3360 3430 3437 3675 3920 3928 4116 4200 4704 4800 4802 4900 4910 5145 5488 5600 5880 5892 6720 6860 6874 7203 7350 7365 7840 7856 8232 8400 8575 9408 9604 9800 9820 10290 10311 10976 11200 11760 11784 12005 12275 13720 13748 14406 14700 14730 15680 15712 16464 16800 16807 17150 17185 19208 19600 19640 20580 20622 21952 23520 23568 24010 24059 24550 25725 27440 27496 28812 29400 29460 31424 32928 33600 33614 34300 34370 36015 36825 38416 39200 39280 41160 41244 47040 47136 48020 48118 49100 50421 51450 51555 54880 54992 57624 58800 58920 60025 65856 67228 68600 68740 72030 72177 73650 76832 78400 78560 82320 82488 84035 85925 94272 96040 96236 98200 100842 102900 103110 109760 109984 115248 117600 117649 117840 120050 120295 134456 137200 137480 144060 144354 147300 153664 157120 164640 164976 168070 168413 171850 180075 192080 192472 196400 201684 205800 206220 219968 230496 235200 235298 235680 240100 240590 241081 252105 257775 268912 274400 274960 288120 288708 294600 329280 329952 336140 336826 343700 352947 360150 360885 384160 384944 392800 403368 411600 412440 420175 460992 470596 471360 480200 481180 482162 504210 505239 515550 537824 548800 549920 576240 577416 588245 589200 601475 659904 672280 673652 687400 705894 720300 721770 723243 768320 769888 785600 806736 823200 824880 840350 842065 941192 960400 962360 964324 1008420 1010478 1031100 1075648 1099840 1152480 1154832 1176490 1178400 1178891 1202950 1205405 1260525 1344560 1347304 1374800 1411788 1440600 1443540 1446486 1539776 1613472 1646400 1649760 1680700 1684130 1687567 1764735 1804425 1882384 1920800 1924720 1928648 2016840 2020956 2062200 2304960 2309664 2352980 2356800 2357782 2405900 2410810 2521050 2526195 2689120 2694608 2749600 2823576 2881200 2887080 2892972 2941225 3226944 3299520 3361400 3368260 3375134 3529470 3536673 3608850 3616215 3764768 3841600 3849440 3857296 4033680 4041912 4124400 4210325 4619328 4705960 4715564 4811800 4821620 5042100 5052390 5062701 5378240 5389216 5499200 5647152 5762400 5774160 5785944 5882450 5894455 6027025 6722800 6736520 6750268 7058940 7073346 7217700 7232430 7529536 7698880 7714592 8067360 8083824 8248800 8252237 8420650 8437835 8823675 9411920 9431128 9623600 9643240 10084200 10104780 10125402 10778432 11294304 11524800 11548320 11571888 11764900 11788910 11812969 12054050 12630975 13445600 13473040 13500536 14117880 14146692 14435400 14464860 15429184 16134720 16167648 16497600 16504474 16841300 16875670 17647350 17683365 18081075 18823840 18862256 19247200 19286480 20168400 20209560 20250804 22588608 23096640 23143776 23529800 23577820 23625938 24108100 24756711 25261950 25313505 26891200 26946080 27001072 28235760 28293384 28870800 28929720 29472275 32335296 33008948 33682600 33751340 35294700 35366730 35438907 36162150 37647680 37724512 38494400 38572960 40336800 40419120 40501608 41261185 42189175 46287552 47059600 47155640 47251876 48216200 49513422 50523900 50627010 53892160 54002144 56471520 56586768 57741600 57765659 57859440 58944550 59064845 66017896 67365200 67502680 70589400 70733460 70877814 72324300 75449024 77145920 80673600 80838240 81003216 82522370 82690783 84378350 88416825 94119200 94311280 94503752 96432400 99026844 101047800 101254020 108004288 112943040 113173536 115483200 115531318 115718880 117889100 118129690 123783555 126567525 132035792 134730400 135005360 141178800 141466920 141755628 144648600 161676480 162006432 165044740 165381566 168756700 173296977 176833650 177194535 188238400 188622560 189007504 192864800 198053688 202095600 202508040 206305925 226347072 231062636 231437760 235778200 236259380 247567110 248072349 253135050 264071584 269460800 270010720 282357600 282933840 283511256 288828295 289297200 295324225 324012864 330089480 330763132 337513400 346593954 353667300 354389070 377245120 378015008 385729600 396107376 404191200 405016080 412611850 413453915 462125272 471556400 472518760 495134220 496144698 506270100 528143168 540021440 564715200 565867680 567022512 577656590 578594400 578835481 590648450 618917775 660178960 661526264 675026800 693187908 707334600 708778140 756030016 792214752 808382400 810032160 825223700 826907830 866484885 885972675 924250544 943112800 945037520 990268440 992289396 1012540200 1131735360 1134045024 1155313180 1157188800 1157670962 1181296900 1237835550 1240361745 1320357920 1323052528 1350053600 1386375816 1414669200 1417556280 1444141475 1584429504 1620064320 1650447400 1653815660 1732969770 1736506443 1771945350 1848501088 1886225600 1890075040 1980536880 1984578792 2025080400 2067269575 2268090048 2310626360 2315341924 2362593800 2475671100 2480723490 2640715840 2646105056 2700107200 2772751632 2829338400 2835112560 2888282950 2894177405 3300894800 3307631320 3465939540 3473012886 3543890700 3697002176 3780150080 3961073760 3969157584 4050160800 4051848367 4134539150 4332424425 4621252720 4630683848 4725187600 4951342200 4961446980 5292210112 5545503264 5658676800 5670225120 5776565900 5788354810 6201808725 6601789600 6615262640 6931879080 6946025772 7087781400 7922147520 7938315168 8100321600 8103696734 8269078300 8664848850 8682532215 9242505440 9261367696 9450375200 9902684400 9922893960 11091006528 11340450240 11553131800 11576709620 12155545101 12403617450 13203579200 13230525280 13863758160 13892051544 14175562800 14470887025 15876630336 16207393468 16538156600 17329697700 17365064430 18485010880 18522735392 18900750400 19805368800 19845787920 20259241835 23106263600 23153419240 24311090202 24807234900 26461050560 27727516320 27784103088 28351125600 28362938569 28941774050 32414786936 33076313200 34659395400 34730128860 37045470784 39610737600 39691575840 40518483670 43412661075 46212527200 46306838480 48622180404 49614469800 55455032640 55568206176 56702251200 56725877138 57883548100 60777725505 64829573872 66152626400 69318790800 69460257720 79383151680 81036967340 85088815707 86825322150 92425054400 92613676960 97244360808 99228939600 101296209175 111136412352 113451754276 115767096200 121555451010 129659147744 132305252800 138637581600 138920515440 141814692845 162073934680 170177631414 173650644300 185227353920 194488721616 198457879200 202592418350 226903508552 231534192400 243110902020 259318295488 277275163200 277841030880 283629385690 303888627525 324147869360 340355262828 347301288600 388977443232 396915758400 405184836700 425444078535 453807017104 463068384800 486221804040 555682061760 567258771380 607777255050 648295738720 680710525656 694602577200 709073464225 777954886464 810369673400 850888157070 907614034208 926136769600 972443608080 1134517542760 1215554510100 1296591477440 1361421051312 1389205154400 1418146928450 1620739346800 1701776314140 1815228068416 1944887216160 2127220392675 2269035085520 2431109020200 2722842102624 2778410308800 2836293856900 3241478693600 3403552628280 3889774432320 4254440785350 4538070171040 4862218040400 5445684205248 5672587713800 6482957387200 6807105256560 8508881570700 9076140342080 9724436080800 11345175427600 13614210513120 17017763141400 19448872161600 22690350855200 27228421026240 34035526282800 45380701710400 68071052565600 136142105131200
- Sum of all divisors σ(n): 522165652690228
- Sum of proper divisors (its aliquot sum) s(n): 386023547559028
- 136142105131200 is an abundant number, because the sum of its proper divisors (386023547559028) is greater than itself. Its abundance is 249881442427828
Bases of 136142105131200
- Binary: 111101111010010000011011101000010111000110000002
- Hexadecimal: 0x7BD20DD0B8C0
- Base-36: 1C9ATIB5XC
Squares and roots of 136142105131200
- 136142105131200 squared (1361421051312002) is 18534672789554713369213440000
- 136142105131200 cubed (1361421051312003) is 2523349371487949760745938309932003328000000
-
The
square root of 136142105131200 is 11667994.9062038933 -
The
cube root of 136142105131200 is 51443.5369659399
Scales and comparisons
How big is 136142105131200?- 136,142,105,131,200 seconds is equal to 4,328,897 years, 43 weeks, 9 hours, 20 minutes.
-
To count from 1 to 136,142,105,131,200 would take you about ten million, eight hundred twenty-two thousand, two hundred forty-four 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 136142105131200 cubic inches would be around 4287 feet tall.
Recreational maths with 136142105131200
- 136142105131200 backwards is 002131501241631
- 136142105131200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 136142105131200's digits is 30
- More coming soon!
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