42012177792000
42,012,177,792,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 42012177792000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2112 divisors.
42012177792000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 42012177792000:
210 × 3 × 53 × 132 × 17 × 113 × 337
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 17 × 113 × 337)See below for interesting mathematical facts about the number 42012177792000 from the Numbermatics database.
Names of 42012177792000
- Cardinal: 42012177792000 can be written as Forty-two trillion, twelve billion, one hundred seventy-seven million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 4.2012177792 × 1013
Factors of 42012177792000
Divisors of 42012177792000
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 25 26 30 32 34 39 40 48 50 51 52 60 64 65 68 75 78 80 85 96 100 102 104 113 120 125 128 130 136 150 156 160 169 170 192 195 200 204 208 221 226 240 250 255 256 260 272 300 312 320 325 337 338 339 340 375 384 390 400 408 416 425 442 452 480 500 507 510 512 520 544 565 600 624 640 650 663 674 676 678 680 750 768 780 800 816 832 845 850 884 904 960 975 1000 1011 1014 1020 1024 1040 1088 1105 1130 1200 1248 1275 1280 1300 1326 1348 1352 1356 1360 1469 1500 1536 1560 1600 1625 1632 1664 1685 1690 1695 1700 1768 1808 1920 1921 1950 2000 2022 2028 2040 2080 2125 2176 2210 2260 2400 2496 2535 2550 2560 2600 2652 2696 2704 2712 2720 2825 2873 2938 3000 3072 3120 3200 3250 3264 3315 3328 3370 3380 3390 3400 3536 3616 3840 3842 3900 4000 4044 4056 4080 4160 4225 4250 4352 4381 4407 4420 4520 4800 4875 4992 5055 5070 5100 5120 5200 5304 5392 5408 5424 5440 5525 5650 5729 5746 5763 5876 6000 6240 6375 6400 6500 6528 6630 6656 6740 6760 6780 6800 7072 7232 7345 7680 7684 7800 8000 8088 8112 8160 8320 8425 8450 8475 8500 8619 8704 8762 8814 8840 9040 9600 9605 9750 9984 10110 10140 10200 10400 10608 10784 10816 10848 10880 11050 11300 11458 11492 11526 11752 12000 12480 12675 12750 12800 13000 13056 13143 13260 13312 13480 13520 13560 13600 14125 14144 14365 14464 14690 15360 15368 15600 16000 16176 16224 16320 16575 16640 16850 16900 16950 17000 17187 17238 17408 17524 17628 17680 18080 19097 19200 19210 19500 19968 20220 20280 20400 20800 21125 21216 21568 21632 21696 21760 21905 22035 22100 22600 22916 22984 23052 23504 24000 24960 24973 25275 25350 25500 25600 26000 26112 26286 26520 26960 27040 27120 27200 27625 28250 28288 28645 28730 28815 28928 29380 30736 31200 32000 32352 32448 32640 33150 33280 33700 33800 33900 34000 34374 34476 35048 35256 35360 36160 36725 38081 38194 38400 38420 39000 39936 40440 40560 40800 41600 42125 42250 42375 42432 43095 43136 43264 43392 43520 43810 44070 44200 45200 45832 45968 46104 47008 48000 48025 49920 49946 50550 50700 51000 52000 52224 52572 53040 53920 54080 54240 54400 55250 56500 56576 56953 57290 57291 57460 57630 57856 58760 61472 62400 63375 64000 64704 64896 65280 65715 66300 66560 67400 67600 67800 68000 68748 68952 70096 70512 70720 71825 72320 73450 74477 74919 76162 76388 76800 76840 78000 80880 81120 81600 82875 83200 84250 84500 84750 84864 85935 86190 86272 86528 86784 87040 87620 88140 88400 90400 91664 91936 92208 94016 95485 96000 96050 99840 99892 101100 101400 102000 104000 105144 106080 107840 108160 108480 108800 109525 110175 110500 113000 113152 113906 114243 114580 114582 114920 115260 115712 117520 122944 124800 124865 126375 126750 128000 129408 129792 130560 131430 132600 134800 135200 135600 136000 137496 137904 140192 141024 141440 143225 143650 144075 144640 146900 148954 149838 152324 152776 153680 156000 161760 162240 163200 165750 166400 168500 169000 169500 169728 170859 171870 172380 172544 173056 173568 175240 176280 176800 180800 183328 183625 183872 184416 188032 190405 190970 192000 192100 199680 199784 202200 202800 204000 208000 210288 212160 215475 215680 216320 216960 217600 219050 220350 221000 223431 226000 226304 227812 228486 229160 229164 229840 230520 235040 240125 245888 249600 249730 252750 253500 258816 259584 261120 262860 265200 269600 270400 271200 272000 274992 275808 280384 282048 282880 284765 286450 286455 287300 288150 289280 293800 297908 299676 304648 305552 307360 312000 323520 324480 324649 326400 328575 331500 332800 337000 338000 339000 339456 341718 343740 344760 345088 347136 350480 352560 353600 359125 361600 366656 367250 367744 368832 372385 374595 376064 380810 381940 384000 384200 399568 404400 405600 408000 416000 420576 424320 429675 430950 431360 432640 433920 435200 438100 440700 442000 446862 452000 455624 456972 458320 458328 459680 461040 470080 477425 480250 491776 495053 499200 499460 505500 507000 517632 519168 525720 530400 539200 540800 542400 544000 547625 549984 550875 551616 560768 564096 565760 569530 571215 572900 572910 574600 576300 578560 587600 595816 599352 609296 611104 614720 624000 624325 647040 647377 648960 649298 652800 657150 663000 674000 676000 678000 678912 683436 687480 689520 700960 705120 707200 716125 718250 720375 723200 733312 734500 735488 737664 744770 749190 752128 761620 763880 768400 799136 808800 811200 816000 832000 841152 848640 854295 859350 861900 862720 865280 867840 876200 881400 884000 893724 904000 911248 913944 916640 916656 919360 922080 940160 952025 954850 960500 968201 973947 983552 990106 998400 998920 1011000 1014000 1035264 1051440 1060800 1077375 1078400 1081600 1084800 1088000 1095250 1099968 1101750 1103232 1117155 1121536 1128192 1131520 1139060 1142430 1145800 1145820 1149200 1152600 1175200 1191632 1198704 1218592 1222208 1229440 1248000 1248650 1294080 1294754 1297920 1298596 1305600 1314300 1326000 1348000 1352000 1356000 1366872 1374960 1379040 1401920 1410240 1414400 1423825 1432250 1432275 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3364608 3394560 3417180 3437400 3447600 3504800 3525600 3536000 3574896 3616000 3644992 3655776 3666560 3666624 3677440 3688320 3723850 3745950 3760640 3808100 3819400 3842000 3872804 3884262 3895788 3960424 3995680 4044000 4056000 4205760 4243200 4271475 4296750 4309500 4313600 4326400 4339200 4381000 4399872 4407000 4412928 4468620 4486144 4512768 4556240 4569720 4583200 4583280 4596800 4610400 4700800 4760125 4766528 4774250 4794816 4841005 4869735 4874368 4888832 4917760 4950530 4992000 4994600 5176320 5179016 5194384 5257200 5304000 5392000 5408000 5424000 5467488 5499840 5516160 5585775 5607680 5640960 5657600 5695300 5712150 5729000 5729100 5746000 5763000 5809206 5866496 5876000 5901312 5940636 5958160 5993520 6092960 6111040 6147200 6243250 6393088 6435689 6470400 6473770 6489600 6492980 6528000 6571500 6729216 6834360 6874800 6895200 7009600 7051200 7072000 7119125 7149792 7161375 7232000 7289984 7311552 7333120 7333248 7354880 7376640 7425795 7447700 7491900 7521280 7616200 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2478594560 2485927680 2493304320 2524770300 2534671360 2574275600 2589508000 2597192000 2625761112 2693088320 2733744000 2735167825 2859916800 2904603000 2924620800 2970318000 2974313472 3089130720 3098243200 3107409600 3116630400 3155962875 3168339200 3196544000 3217844500 3231705984 3282201390 3295072768 3314570240 3366360400 3501014816 3574896000 3644992000 3655776000 3666624000 3717891840 3802007040 3861413400 3872804000 3884262000 3895788000 3960424000 4039632480 4118840960 4143212800 4155507200 4207950500 4308941312 4373990400 4376268520 4647364800 4752508800 4766528000 4794816000 4826766750 4874368000 4942609152 4957189120 4971855360 4986608640 5049540600 5148551200 5179016000 5194384000 5251522224 5386176640 5467488000 5470335650 5719833600 5809206000 5940636000 6178261440 6196486400 6214819200 6233260800 6311925750 6336678400 6435689000 6463411968 6564402780 6590145536 6732720800 7002029632 7149792000 7289984000 7311552000 7333248000 7435783680 7604014080 7722826800 7745608000 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31683392000 32317059840 32822013900 32950727680 33663604000 35010148160 37178918400 38020070400 38614134000 40396324800 41027517375 41188409600 41432128000 41555072000 42012177792 43089413120 43762685200 46473648000 47525088000 49426091520 49718553600 50495406000 51485512000 52515222240 53861766400 54703356500 56016237056 61782614400 61964864000 62148192000 62332608000 63366784000 64634119680 65644027800 67327208000 70020296320 74357836800 77228268000 80792649600 82055034750 82376819200 82864256000 84024355584 87525370400 92947296000 95050176000 98852183040 100990812000 102971024000 105030444480 107723532800 109406713000 112032474112 123565228800 123929728000 124296384000 124665216000 129268239360 131288055600 134654416000 140040592640 154456536000 161585299200 164110069500 164753638400 168048711168 175050740800 185894592000 190100352000 201981624000 205942048000 210060888960 215447065600 218813426000 247130457600 248592768000 262576111200 269308832000 280081185280 308913072000 323170598400 328220139000 336097422336 350101481600 371789184000 403963248000 411884096000 420121777920 437626852000 494260915200 525152222400 538617664000 560162370560 617826144000 646341196800 656440278000 700202963200 807926496000 823768192000 840243555840 875253704000 1050304444800 1077235328000 1235652288000 1312880556000 1400405926400 1615852992000 1680487111680 1750507408000 2100608889600 2471304576000 2625761112000 2800811852800 3231705984000 3501014816000 4201217779200 5251522224000 7002029632000 8402435558400 10503044448000 14004059264000 21006088896000 42012177792000
- Sum of all divisors σ(n): 162124100221824
- Sum of proper divisors (its aliquot sum) s(n): 120111922429824
- 42012177792000 is an abundant number, because the sum of its proper divisors (120111922429824) is greater than itself. Its abundance is 78099744637824
Bases of 42012177792000
- Binary: 10011000110101101110001110111011111100000000002
- Hexadecimal: 0x2635B8EEFC00
- Base-36: EW44LXNUO
Squares and roots of 42012177792000
- 42012177792000 squared (420121777920002) is 1765023082826617995264000000
- 42012177792000 cubed (420121777920003) is 74152463562695817127097781977088000000000
-
The
square root of 42012177792000 is 6481680.1673640147 -
The
cube root of 42012177792000 is 34763.6256741769
Scales and comparisons
How big is 42012177792000?- 42,012,177,792,000 seconds is equal to 1,335,857 years, 15 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 42,012,177,792,000 would take you about three million, three hundred thirty-nine thousand, six hundred forty-three 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 42012177792000 cubic inches would be around 2897 feet tall.
Recreational maths with 42012177792000
- 42012177792000 backwards is 00029777121024
- The number of decimal digits it has is: 14
- The sum of 42012177792000's digits is 42
- More coming soon!
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"Number 42012177792000 - Facts about the integer". Numbermatics.com. 2024. Web. 23 May 2024.
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Numbermatics. (2024). Number 42012177792000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/42012177792000/
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The information we have on file for 42012177792000 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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