142029132993048000
142,029,132,993,048,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 142029132993048000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1680 divisors.
142029132993048000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 142029132993048000:
26 × 3 × 53 × 74 × 17 × 120412
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 17 × 12041 × 12041)See below for interesting mathematical facts about the number 142029132993048000 from the Numbermatics database.
Names of 142029132993048000
- Cardinal: 142029132993048000 can be written as One hundred forty-two quadrillion, twenty-nine trillion, one hundred thirty-two billion, nine hundred ninety-three million, forty-eight thousand.
Scientific notation
- Scientific notation: 1.42029132993048 × 1017
Factors of 142029132993048000
Divisors of 142029132993048000
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 64 68 70 75 80 84 85 96 98 100 102 105 112 119 120 125 136 140 147 150 160 168 170 175 192 196 200 204 210 224 238 240 245 250 255 272 280 294 300 320 336 340 343 350 357 375 392 400 408 420 425 448 476 480 490 500 510 525 544 560 588 595 600 672 680 686 700 714 735 750 784 800 816 833 840 850 875 952 960 980 1000 1020 1029 1050 1088 1120 1176 1190 1200 1225 1275 1344 1360 1372 1400 1428 1470 1500 1568 1600 1632 1666 1680 1700 1715 1750 1785 1904 1960 2000 2040 2058 2100 2125 2240 2352 2380 2400 2401 2450 2499 2550 2625 2720 2744 2800 2856 2940 2975 3000 3136 3264 3332 3360 3400 3430 3500 3570 3675 3808 3920 4000 4080 4116 4165 4200 4250 4704 4760 4800 4802 4900 4998 5100 5145 5250 5440 5488 5600 5712 5831 5880 5950 6000 6125 6375 6664 6720 6800 6860 7000 7140 7203 7350 7616 7840 8000 8160 8232 8330 8400 8500 8575 8925 9408 9520 9604 9800 9996 10200 10290 10500 10976 11200 11424 11662 11760 11900 12000 12005 12041 12250 12495 12750 13328 13600 13720 14000 14280 14406 14700 14875 15680 16320 16464 16660 16800 17000 17150 17493 17850 18375 19040 19208 19600 19992 20400 20580 20825 21000 21952 22848 23324 23520 23800 24000 24010 24082 24500 24990 25500 25725 26656 27200 27440 28000 28560 28812 29155 29400 29750 32928 33320 33600 34000 34300 34986 35700 36015 36123 36750 38080 38416 39200 39984 40800 40817 41160 41650 42000 42875 44625 46648 47040 47600 48020 48164 49000 49980 51000 51450 53312 54880 56000 57120 57624 58310 58800 59500 60025 60205 62475 65856 66640 68000 68600 69972 71400 72030 72246 73500 76832 78400 79968 81600 81634 82320 83300 84000 84287 85750 87465 89250 93296 95200 96040 96328 98000 99960 102000 102900 104125 109760 114240 115248 116620 117600 119000 120050 120410 122451 124950 128625 133280 136000 137200 139944 142800 144060 144492 145775 147000 153664 159936 163268 164640 166600 168000 168574 171500 174930 178500 180075 180615 186592 190400 192080 192656 196000 199920 204000 204085 204697 205800 208250 230496 233240 235200 238000 240100 240820 244902 249900 252861 257250 266560 274400 279888 285600 288120 288984 291550 294000 300125 301025 312375 326536 329280 333200 337148 343000 349860 357000 360150 361230 373184 384160 385312 392000 399840 408000 408170 409394 411600 416500 421435 437325 460992 466480 476000 480200 481640 489804 499800 505722 514500 548800 559776 571200 576240 577968 583100 588000 590009 600250 602050 612255 614091 624750 653072 666400 674296 686000 699720 714000 720300 722460 728875 768320 770624 799680 816340 818788 823200 833000 842870 874650 900375 903075 932960 952000 960400 963280 979608 999600 1011444 1020425 1023485 1029000 1119552 1152480 1155936 1166200 1176000 1180018 1200500 1204100 1224510 1228182 1249500 1264305 1306144 1332800 1348592 1372000 1399440 1428000 1432879 1440600 1444920 1457750 1505125 1632680 1637576 1646400 1666000 1685740 1749300 1770027 1800750 1806150 1865920 1920800 1926560 1959216 1999200 2022888 2040850 2046970 2058000 2107175 2186625 2304960 2311872 2332400 2360036 2401000 2408200 2449020 2456364 2499000 2528610 2612288 2697184 2744000 2798880 2856000 2865758 2881200 2889840 2915500 2950045 3010250 3061275 3070455 3265360 3275152 3332000 3371480 3498600 3540054 3601500 3612300 3841600 3853120 3918432 3998400 4045776 4081700 4093940 4116000 4130063 4214350 4298637 4373250 4515375 4664800 4720072 4802000 4816400 4898040 4912728 4998000 5057220 5102125 5117425 5394368 5597760 5731516 5762400 5779680 5831000 5900090 6020500 6122550 6140910 6321525 6530720 6550304 6664000 6742960 6997200 7080108 7164395 7203000 7224600 7836864 8091552 8163400 8187880 8232000 8260126 8428700 8597274 8746500 8850135 9030750 9329600 9440144 9604000 9632800 9796080 9825456 9996000 10030153 10114440 10204250 10234850 10535875 11463032 11524800 11559360 11662000 11800180 12041000 12245100 12281820 12390189 12643050 13061440 13100608 13485920 13994400 14160216 14328790 14406000 14449200 14750225 15306375 15352275 16183104 16326800 16375760 16520252 16857400 17194548 17493000 17700270 18061500 18880288 19208000 19265600 19592160 19650912 19992000 20060306 20228880 20408500 20469700 20650315 21071750 21493185 22926064 23324000 23600360 24082000 24490200 24563640 24780378 25286100 25587125 26971840 27988800 28320432 28657580 28812000 28898400 28910441 29500450 30090459 30612750 30704550 31607625 32653600 32751520 33040504 33714800 34389096 34986000 35400540 35821975 36123000 37760576 39184320 39301824 40120612 40457760 40817000 40939400 41300630 42143500 42986370 44250675 45852128 46648000 47200720 48164000 48980400 49127280 49560756 50150765 50572200 51174250 56640864 57315160 57624000 57796800 57820882 59000900 60180918 61225500 61409100 61950945 63215250 65307200 65503040 66081008 67429600 68778192 69972000 70211071 70801080 71643950 72246000 73751125 76761375 80241224 80915520 81634000 81878800 82601260 84287000 85972740 86731323 88501350 91704256 94401440 96328000 97960800 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7956814173280 8119198136000 8281582098720 8354654881944 8454115059110 8525158042800 8626648019500 8702765502025 9057980420475 9548177007936 9661845781840 9859026308000 9946017716600 10144938070932 10351977623400 10443318602430 10656447553500 11139539842592 11366877390400 11594214938208 11795459928000 11830831569600 11835761082754 11935221259920 12077307227300 12178797204000 12432522145750 12681172588665 12939972029250 13526584094576 13802636831200 13924424803240 14208596738000 14492768672760 14788539462000 14919026574900 15096634034125 15913628346560 16563164197440 16709309763888 16908230118220 17050316085600 17253296039000 17405531004050 17753641624131 18115960840950 18648783218625 19323691563680 19718052616000 19892035433200 20289876141864 20703955246800 20886637204860 21135287647775 21312895107000 22279079685184 23188429876416 23671522165508 23870442519840 24154614454600 24357594408000 24865044291500 25362345177330 25879944058500 26108296506075 27053168189152 27605273662400 27848849606480 28417193476000 28985537345520 29577078924000 29589402706885 29838053149800 30193268068250 33418619527776 33816460236440 34100632171200 34506592078000 34811062008100 35507283248262 36231921681900 37297566437250 38647383127360 39784070866400 40579752283728 41407910493600 41773274409720 42270575295550 42625790214000 43513827510125 45289902102375 47343044331016 47740885039680 48309228909200 49730088583000 50724690354660 51759888117000 52216593012150 54106336378304 55697699212960 56834386952000 57971074691040 59154157848000 59178805413770 59676106299600 60386536136500 63405862943325 66837239055552 67632920472880 69013184156000 69622124016200 71014566496524 72463843363800 74595132874500 79568141732800 81159504567456 82815820987200 83546548819440 84541150591100 85251580428000 87027655020250 88768208120655 90579804204750 94686088662032 96618457818400 99460177166000 101449380709320 103519776234000 104433186024300 105676438238875 111395398425920 115942149382080 118357610827540 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724638433638000 739735067672125 811595045674560 835465488194400 845411505911000 887682081206550 946860886620320 966184578184000 1014493807093200 1044331860243000 1136233063944384 1183576108275400 1193522125992000 1268117258866500 1352658409457600 1392442480324000 1420291329930480 1449276867276000 1479470135344250 1670930976388800 1690823011822000 1775364162413100 1893721773240640 2028987614186400 2088663720486000 2219205203016375 2367152216550800 2536234517733000 2784884960648000 2840582659860960 2898553734552000 2958940270688500 3381646023644000 3550728324826200 4057975228372800 4177327440972000 4438410406032750 4734304433101600 5072469035466000 5681165319721920 5917880541377000 6763292047288000 7101456649652400 8354654881944000 8876820812065500 9468608866203200 10144938070932000 11835761082754000 14202913299304800 17753641624131000 20289876141864000 23671522165508000 28405826598609600 35507283248262000 47343044331016000 71014566496524000 142029132993048000
- Sum of all divisors σ(n): 579342123468063072
- Sum of proper divisors (its aliquot sum) s(n): 437312990475015072
- 142029132993048000 is an abundant number, because the sum of its proper divisors (437312990475015072) is greater than itself. Its abundance is 295283857481967072
Bases of 142029132993048000
- Binary: 1111110001001011010111110011100111100111010101101110000002
- Hexadecimal: 0x1F896BE73CEADC0
- Base-36: 12UH4IY4IMDC
Squares and roots of 142029132993048000
- 142029132993048000 squared (1420291329930480002) is 20172274618756915934816330304000000
- 142029132993048000 cubed (1420291329930480003) is 2865050674599712654826249827739903303726592000000000
-
The
square root of 142029132993048000 is 376867527.1140351249 -
The
cube root of 142029132993048000 is 521746.0205537763
Scales and comparisons
How big is 142029132993048000?- 142,029,132,993,048,000 seconds is equal to 4,516,087,104 years, 11 weeks, 5 days, 1 hour, 20 minutes.
-
To count from 1 to 142,029,132,993,048,000 would take you about thirteen billion, five hundred forty-eight million, two hundred sixty-one thousand, three 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 142029132993048000 cubic inches would be around 43478.8 feet tall.
Recreational maths with 142029132993048000
- 142029132993048000 backwards is 000840399231920241
- The number of decimal digits it has is: 18
- The sum of 142029132993048000's digits is 57
- More coming soon!
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MLA style:
"Number 142029132993048000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 September 2024.
APA style:
Numbermatics. (2024). Number 142029132993048000 - Facts about the integer. Retrieved 25 September 2024, from https://numbermatics.com/n/142029132993048000/
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Numbermatics. 2024. "Number 142029132993048000 - Facts about the integer". https://numbermatics.com/n/142029132993048000/
The information we have on file for 142029132993048000 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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