42099780144000
42,099,780,144,000 is an even composite number composed of five prime numbers multiplied together.
42099780144000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 42099780144000:
27 × 3 × 53 × 312 × 973
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 31 × 31 × 97 × 97 × 97)See below for interesting mathematical facts about the number 42099780144000 from the Numbermatics database.
Names of 42099780144000
- Cardinal: 42099780144000 can be written as Forty-two trillion, ninety-nine billion, seven hundred eighty million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.2099780144 × 1013
Factors of 42099780144000
Divisors of 42099780144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 97 100 120 124 125 128 150 155 160 186 192 194 200 240 248 250 291 300 310 320 372 375 384 388 400 465 480 485 496 500 582 600 620 640 744 750 775 776 800 930 960 961 970 992 1000 1164 1200 1240 1455 1488 1500 1550 1552 1600 1860 1920 1922 1940 1984 2000 2325 2328 2400 2425 2480 2883 2910 2976 3000 3007 3100 3104 3200 3720 3844 3875 3880 3968 4000 4650 4656 4800 4805 4850 4960 5766 5820 5952 6000 6014 6200 6208 7275 7440 7688 7750 7760 8000 9021 9300 9312 9409 9600 9610 9700 9920 11532 11625 11640 11904 12000 12028 12125 12400 12416 14415 14550 14880 15035 15376 15500 15520 16000 18042 18600 18624 18818 19220 19400 19840 23064 23250 23280 24000 24025 24056 24250 24800 28227 28830 29100 29760 30070 30752 31000 31040 36084 36375 37200 37248 37636 38440 38800 45105 46128 46500 46560 47045 48000 48050 48112 48500 49600 56454 57660 58200 59520 60140 61504 62000 62080 72075 72168 72750 74400 75175 75272 76880 77600 90210 92256 93000 93120 93217 94090 96100 96224 97000 99200 112908 115320 116400 120125 120280 123008 124000 141135 144150 144336 145500 148800 150350 150544 153760 155200 180420 184512 186000 186240 186434 188180 192200 192448 194000 225525 225816 230640 232800 235225 240250 240560 248000 279651 282270 288300 288672 291000 291679 297600 300700 301088 307520 310400 360375 360840 369024 372000 372868 375875 376360 384400 384896 388000 451050 451632 461280 465600 466085 470450 480500 481120 496000 559302 564540 576600 577344 582000 583358 601400 602176 615040 705675 720750 721680 744000 745736 751750 752720 768800 776000 875037 902100 903264 912673 922560 931200 932170 940900 961000 962240 1118604 1127625 1129080 1153200 1154688 1164000 1166716 1176125 1202800 1204352 1398255 1411350 1441500 1443360 1458395 1488000 1491472 1503500 1505440 1537600 1552000 1750074 1804200 1806528 1825346 1845120 1864340 1881800 1922000 1924480 2237208 2255250 2258160 2306400 2328000 2330425 2333432 2352250 2405600 2738019 2796510 2822700 2883000 2886720 2916790 2982944 3007000 3010880 3075200 3500148 3528375 3608400 3613056 3650692 3728680 3763600 3844000 4375185 4474416 4510500 4516320 4563365 4612800 4656000 4660850 4666864 4704500 4811200 5476038 5593020 5645400 5766000 5773440 5833580 5965888 6014000 6021760 6991275 7000296 7056750 7216800 7291975 7301384 7457360 7527200 7688000 8750370 8948832 9021000 9032640 9042049 9126730 9225600 9321700 9333728 9409000 9622400 10952076 11186040 11290800 11532000 11652125 11667160 11931776 12028000 13690095 13982550 14000592 14113500 14433600 14583950 14602768 14914720 15054400 15376000 17500740 17897664 18042000 18065280 18084098 18253460 18643400 18667456 18818000 21875925 21904152 22372080 22581600 22816825 23064000 23304250 23334320 24056000 27126147 27380190 27965100 28001184 28227000 28292863 28867200 29167900 29205536 29829440 30108800 34956375 35001480 35795328 36084000 36168196 36459875 36506920 37286800 37334912 37636000 43751850 43808304 44744160 45163200 45210245 45633650 46128000 46608500 46668640 48112000 54252294 54760380 55930200 56002368 56454000 56585726 58335800 58411072 59658880 68450475 69912750 70002960 72168000 72336392 72919750 73013840 74573600 75272000 84878589 87503700 87616608 89488320 90326400 90420490 91267300 93217000 93337280 108504588 109379625 109520760 111860400 112004736 112908000 113171452 114084125 116671600 116822144 135630735 136900950 139825500 140005920 141464315 144336000 144672784 145839500 146027680 149147200 150544000 169757178 175007400 175233216 178976640 180840980 182534600 186434000 186674560 217009176 218759250 219041520 223720800 225816000 226051225 226342904 228168250 233343200 271261470 273801900 279651000 280011840 282928630 289345568 291679000 292055360 298294400 339514356 342252375 350014800 350466432 361681960 365069200 372868000 424392945 434018352 437518500 438083040 447441600 451632000 452102450 452685808 456336500 466686400 542522940 547603800 559302000 560023680 565857260 578691136 583358000 584110720 678153675 679028712 684504750 700029600 707321575 723363920 730138400 745736000 848785890 868036704 875037000 876166080 877078753 894883200 904204900 905371616 912673000 933372800 1085045880 1095207600 1118604000 1130256125 1131714520 1157382272 1166716000 1356307350 1358057424 1369009500 1400059200 1414643150 1446727840 1460276800 1491472000 1697571780 1736073408 1750074000 1752332160 1754157506 1808409800 1810743232 1825346000 2121964725 2170091760 2190415200 2237208000 2260512250 2263429040 2333432000 2631236259 2712614700 2716114848 2738019000 2800118400 2829286300 2893455680 2920553600 3390768375 3395143560 3472146816 3500148000 3508315012 3536607875 3616819600 3621486464 3650692000 4243929450 4340183520 4380830400 4385393765 4474416000 4521024500 4526858080 4666864000 5262472518 5425229400 5432229696 5476038000 5658572600 5786911360 6781536750 6790287120 7000296000 7016630024 7073215750 7233639200 7301384000 8487858900 8680367040 8761660800 8770787530 9042049000 9053716160 10524945036 10609823625 10850458800 10864459392 10952076000 11317145200 13156181295 13563073500 13580574240 14000592000 14033260048 14146431500 14467278400 14602768000 16975717800 17360734080 17541575060 18084098000 18107432320 21049890072 21219647250 21700917600 21904152000 21926968825 22634290400 26312362590 27126147000 27161148480 28066520096 28292863000 28934556800 33951435600 35083150120 36168196000 42099780144 42439294500 43401835200 43808304000 43853937650 45268580800 52624725180 54252294000 54322296960 56133040192 56585726000 65780906475 67902871200 70166300240 72336392000 84199560288 84878589000 86803670400 87707875300 90537161600 105249450360 108504588000 109634844125 112266080384 113171452000 131561812950 135805742400 140332600480 144672784000 168399120576 169757178000 175415750600 210498900720 217009176000 219269688250 226342904000 263123625900 271611484800 280665200960 328904532375 336798241152 339514356000 350831501200 420997801440 434018352000 438539376500 452685808000 526247251800 561330401920 657809064750 679028712000 701663002400 841995602880 877078753000 1052494503600 1315618129500 1358057424000 1403326004800 1683991205760 1754157506000 2104989007200 2631236259000 2806652009600 3508315012000 4209978014400 5262472518000 7016630024000 8419956028800 10524945036000 14033260048000 21049890072000 42099780144000
- Sum of all divisors σ(n): 145710120628800
- Sum of proper divisors (its aliquot sum) s(n): 103610340484800
- 42099780144000 is an abundant number, because the sum of its proper divisors (103610340484800) is greater than itself. Its abundance is 61510560340800
Bases of 42099780144000
- Binary: 10011001001010000111100111000011001011100000002
- Hexadecimal: 0x264A1E70CB80
- Base-36: EX8DE439C
Squares and roots of 42099780144000
- 42099780144000 squared (420997801440002) is 1772391488173136660736000000
- 42099780144000 cubed (420997801440003) is 74617291981186029623851917225984000000000
-
The
square root of 42099780144000 is 6488434.3368797373 -
The
cube root of 42099780144000 is 34787.7715391587
Scales and comparisons
How big is 42099780144000?- 42,099,780,144,000 seconds is equal to 1,338,642 years, 40 weeks, 5 days, 21 hours, 20 minutes.
-
To count from 1 to 42,099,780,144,000 would take you about three million, three hundred forty-six thousand, six hundred six 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 42099780144000 cubic inches would be around 2899 feet tall.
Recreational maths with 42099780144000
- 42099780144000 backwards is 00044108799024
- 42099780144000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 42099780144000's digits is 48
- More coming soon!
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The information we have on file for 42099780144000 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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