10842145964000
10,842,145,964,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 10842145964000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
10842145964000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 10842145964000:
25 × 53 × 13 × 173 × 31 × 372
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 17 × 17 × 17 × 31 × 37 × 37)See below for interesting mathematical facts about the number 10842145964000 from the Numbermatics database.
Names of 10842145964000
- Cardinal: 10842145964000 can be written as Ten trillion, eight hundred forty-two billion, one hundred forty-five million, nine hundred sixty-four thousand.
Scientific notation
- Scientific notation: 1.0842145964 × 1013
Factors of 10842145964000
Divisors of 10842145964000
- Number of divisors d(n): 1152
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Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 31 32 34 37 40 50 52 62 65 68 74 80 85 100 104 124 125 130 136 148 155 160 170 185 200 208 221 248 250 260 272 289 296 310 325 340 370 400 403 416 425 442 481 496 500 520 527 544 578 592 620 629 650 680 740 775 800 806 850 884 925 962 992 1000 1040 1054 1105 1147 1156 1184 1240 1258 1300 1360 1369 1445 1480 1550 1612 1625 1700 1768 1850 1924 2000 2015 2080 2108 2125 2210 2294 2312 2405 2480 2516 2600 2635 2720 2738 2890 2960 3100 3145 3224 3250 3400 3536 3700 3757 3848 3875 4000 4030 4216 4250 4420 4588 4624 4625 4810 4913 4960 5032 5200 5270 5476 5525 5735 5780 5920 6200 6290 6448 6500 6800 6845 6851 7072 7225 7400 7514 7696 7750 8060 8177 8432 8500 8840 8959 9176 9248 9250 9620 9826 10064 10075 10400 10540 10693 10952 11050 11470 11560 12025 12400 12580 12896 13000 13175 13600 13690 13702 14450 14800 14911 15028 15392 15500 15725 16120 16354 16864 17000 17680 17797 17918 18352 18500 18785 19240 19499 19652 20128 20150 21080 21386 21904 22100 22940 23120 23273 24050 24565 24800 25160 26000 26350 27380 27404 27625 28675 28900 29600 29822 30056 31000 31450 32240 32708 34000 34225 34255 35360 35594 35836 36125 36704 37000 37570 38480 38998 39304 40300 40885 42160 42439 42772 43808 44200 44795 45880 46240 46546 48100 49130 50320 50375 52000 52700 53465 54760 54808 55250 57350 57800 59644 60112 60125 62000 62900 63869 64480 65416 65875 68000 68450 68510 71188 71672 72250 74000 74555 75140 76960 77996 78608 78625 80600 81770 84320 84878 85544 88400 88985 89590 91760 93092 93925 96200 97495 98260 100640 100750 105400 106930 109520 109616 110500 114700 115600 116365 116467 119288 120224 120250 122825 124000 125800 127738 130832 131750 136900 137020 139009 142376 143344 143375 144500 148000 149110 150280 152303 155992 157216 157250 161200 163540 169756 171088 171125 171275 176800 177970 179180 181781 183520 186184 187850 192400 194990 196520 201500 204425 210800 212195 213860 219040 219232 221000 223975 229400 231200 232730 232934 238576 240500 245650 251600 253487 255476 261664 263500 267325 273800 274040 278018 284752 286688 286750 289000 298220 300560 302549 304606 311984 314500 319345 322400 327080 331483 339512 342176 342250 342550 355940 358360 363562 372368 372775 375700 384800 389980 393040 395641 403000 408850 421600 424390 427720 442000 444925 447950 458800 465460 465868 469625 477152 481000 487475 491300 503200 506974 510952 527000 534650 547600 548080 551707 556036 569504 573500 578000 581825 582335 596440 601120 605098 609212 614125 623968 629000 638690 654160 662966 679024 684500 685100 695045 711880 716720 721463 727124 744736 745550 751400 761515 779960 786080 791282 806000 817700 848780 855440 856375 884000 889850 895900 908905 917600 930920 931736 939250 962000 974950 982600 1013948 1021904 1022125 1054000 1060975 1069300 1095200 1096160 1103414 1112072 1119875 1147000 1156000 1163650 1164670 1192880 1210196 1218424 1228250 1258000 1267435 1277380 1308320 1325932 1336625 1358048 1369000 1370200 1390090 1423760 1433440 1442926 1454248 1491100 1502800 1512745 1523030 1559920 1582564 1596725 1612000 1635400 1657415 1697560 1710880 1712750 1779700 1791800 1817810 1861840 1863472 1863875 1878500 1924000 1949900 1965200 1978205 1979939 2027896 2043808 2044250 2108000 2121950 2138600 2206828 2224144 2224625 2239750 2294000 2327300 2329340 2363153 2385760 2420392 2436848 2437375 2456500 2516000 2534870 2554760 2651864 2673250 2738000 2740400 2758535 2780180 2847520 2885852 2908496 2909125 2911675 2982200 3005600 3025490 3046060 3119840 3165128 3193450 3270800 3314830 3395120 3425500 3475225 3559400 3583600 3607315 3635620 3723680 3726944 3727750 3757000 3807575 3899800 3930400 3956410 3959878 4055792 4088500 4243900 4277200 4309279 4413656 4448288 4449250 4479500 4544525 4588000 4654600 4658680 4726306 4840784 4873696 4874750 4913000 5069740 5109520 5143333 5303728 5304875 5346500 5476000 5480800 5517070 5560360 5635211 5771704 5816992 5818250 5823350 5964400 6050980 6092120 6330256 6337175 6386900 6541600 6629660 6725897 6790240 6851000 6950450 7118800 7167200 7214630 7271240 7455500 7514000 7563725 7615150 7799600 7912820 7919756 7983625 8111584 8177000 8287075 8487800 8554400 8618558 8827312 8898500 8959000 9089050 9309200 9317360 9379019 9452612 9681568 9749500 9826000 9891025 9899695 10139480 10219040 10286666 10607456 10609750 10693000 11034140 11120720 11270422 11543408 11636500 11646700 11815765 11928800 12101960 12184240 12264871 12660512 12674350 12773800 13259320 13451794 13702000 13792675 13900900 14237600 14429260 14542480 14558375 14911000 15028000 15127450 15230300 15599200 15825640 15839512 15967250 16354000 16574150 16975600 17237116 17376125 17654624 17797000 17918000 18036575 18178100 18618400 18634720 18758038 18905224 19037875 19499000 19652000 19782050 19799390 20278960 20573332 21219500 21386000 21546395 22068280 22241440 22540844 22722625 23086816 23273000 23293400 23631530 24203920 24368480 24529742 25348700 25547600 25716665 26518640 26903588 27404000 27585350 27801800 28176055 28858520 29084960 29116750 29822000 30254900 30460600 31651280 31679024 31685875 31934500 32708000 33148300 33629485 33951200 34474232 34752250 35594000 35836000 36073150 36356200 37516076 37810448 37818625 38075750 38998000 39564100 39598780 40557920 41146664 41435375 42439000 42772000 43092790 44136560 45081688 45445250 46546000 46586800 46895095 47263060 48407840 49059484 49455125 49498475 50697400 51095200 51433330 53037280 53807176 55170700 55603600 56352110 57717040 58233500 59078825 59644000 60509800 60921200 61324355 63302560 63358048 63371750 63869000 66296600 67258970 68948464 68963375 69504500 71188000 72146300 72712400 73257743 75032152 75620896 75637250 76151500 77996000 79128200 79197560 82293328 82870750 84878000 86185580 87436661 88273120 90163376 90182875 90890500 93092000 93173600 93790190 94526120 98118968 98910250 98996950 101394800 102866660 107614352 107731975 110341400 111207200 112704220 115434080 116467000 118157650 121019600 121842400 122648710 126743500 127738000 128583325 132593200 134517940 137896928 137926750 139009000 140880275 144292600 145424800 146515486 150064304 151274500 152303000 158256400 158395120 159443323 164586656 165741500 168147425 169756000 172371160 174873322 180326752 180365750 181781000 187580380 189052240 196237936 197820500 197993900 202789600 205733320 208502807 215228704 215463950 220682800 225408440 232934000 234475475 236315300 242039200 245297420 247492375 253487000 255476000 257166650 265186400 269035880 275853500 278018000 281760550 288585200 293030972 295394125 300128608 302549000 304606000 306621775 316512800 316790240 318886646 331483000 336294850 344742320 349746644 360731500 363562000 366288715 375160760 378104480 392475872 395641000 395987800 411466640 417005614 430927900 437183305 441365600 450816880 465868000 468950950 472630600 490594840 494984750 506974000 514333300 538071760 538659875 551707000 556036000 563521100 577170400 586061944 590788250 605098000 609212000 613243550 637773292 642916625 662966000 672589700 689484640 699493288 704401375 721463000 727124000 732577430 750321520 791282000 791975600 797216615 822933280 834011228 840737125 861855800 874366610 901633760 937901900 945261200 981189680 989969500 1013948000 1028666600 1042514035 1076143520 1077319750 1103414000 1127042200 1172123888 1172377375 1181576500 1210196000 1226487100 1275546584 1285833250 1325932000 1345179400 1398986576 1408802750 1442926000 1465154860 1500643040 1533108875 1582564000 1583951200 1594433230 1668022456 1681474250 1723711600 1748733220 1831443575 1875803800 1890522400 1962379360 1979939000 2057333200 2085028070 2154639500 2185916525 2206828000 2254084400 2344247776 2344754750 2363153000 2452974200 2551093168 2571666500 2690358800 2710536491 2797973152 2817605500 2885852000 2930309720 3066217750 3188866460 3336044912 3362948500 3447423200 3497466440 3662887150 3751607600 3959878000 3986083075 4114666400 4170056140 4309279000 4371833050 4508168800 4689509500 4726306000 4905948400 5102186336 5143333000 5212570175 5380717600 5421072982 5635211000 5860619440 6132435500 6377732920 6672089824 6725897000 6994932880 7325774300 7503215200 7919756000 7972166150 8340112280 8618558000 8743666100 9157217875 9379019000 9452612000 9811896800 10286666000 10425140350 10842145964 10929582625 11270422000 11721238880 12264871000 12755465840 13451794000 13552682455 13989865760 14651548600 15944332300 16680224560 17237116000 17487332200 18314435750 18758038000 19930415375 20573332000 20850280700 21684291928 21859165250 22540844000 24529742000 25510931680 26062850875 26903588000 27105364910 29303097200 31888664600 33360449120 34974664400 36628871500 37516076000 39860830750 41700561400 43368583856 43718330500 49059484000 52125701750 54210729820 58606194400 63777329200 67763412275 69949328800 73257743000 79721661500 83401122800 86737167712 87436661000 104251403500 108421459640 127554658400 135526824550 146515486000 159443323000 166802245600 174873322000 208502807000 216842919280 271053649100 293030972000 318886646000 338817061375 349746644000 417005614000 433685838560 542107298200 637773292000 677634122750 834011228000 1084214596400 1355268245500 2168429192800 2710536491000 5421072982000 10842145964000
- Sum of all divisors σ(n): 32337598325760
- Sum of proper divisors (its aliquot sum) s(n): 21495452361760
- 10842145964000 is an abundant number, because the sum of its proper divisors (21495452361760) is greater than itself. Its abundance is 10653306397760
Bases of 10842145964000
- Binary: 100111011100011000100100001000111111111000002
- Hexadecimal: 0x9DC62423FE0
- Base-36: 3UCT9RRA8
Squares and roots of 10842145964000
- 10842145964000 squared (108421459640002) is 117552129104681489296000000
- 10842145964000 cubed (108421459640003) is 1274517342131929342676135601344000000000
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The
square root of 10842145964000 is 3292741.4055768181 -
The
cube root of 10842145964000 is 22132.9048296301
Scales and comparisons
How big is 10842145964000?- 10,842,145,964,000 seconds is equal to 344,746 years, 36 weeks, 4 days, 12 hours, 13 minutes, 20 seconds.
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To count from 1 to 10,842,145,964,000 would take you about eight hundred sixty-one thousand, eight hundred sixty-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 10842145964000 cubic inches would be around 1844.4 feet tall.
Recreational maths with 10842145964000
- 10842145964000 backwards is 00046954124801
- The number of decimal digits it has is: 14
- The sum of 10842145964000's digits is 44
- More coming soon!
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The information we have on file for 10842145964000 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!
Keywords: Divisors of 10842145964000, math, Factors of 10842145964000, curriculum, school, college, exams, university, Prime factorization of 10842145964000, STEM, science, technology, engineering, physics, economics, calculator, ten trillion, eight hundred forty-two billion, one hundred forty-five million, nine hundred sixty-four thousand.