468138112000
468,138,112,000 is an even composite number composed of six prime numbers multiplied together.
468138112000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and fifty-six divisors.
Prime factorization of 468138112000:
210 × 53 × 132 × 17 × 19 × 67
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 17 × 19 × 67)See below for interesting mathematical facts about the number 468138112000 from the Numbermatics database.
Names of 468138112000
- Cardinal: 468138112000 can be written as Four hundred sixty-eight billion, one hundred thirty-eight million, one hundred twelve thousand.
Scientific notation
- Scientific notation: 4.68138112 × 1011
Factors of 468138112000
Divisors of 468138112000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 19 20 25 26 32 34 38 40 50 52 64 65 67 68 76 80 85 95 100 104 125 128 130 134 136 152 160 169 170 190 200 208 221 247 250 256 260 268 272 304 320 323 325 335 338 340 380 400 416 425 442 475 494 500 512 520 536 544 608 640 646 650 670 676 680 760 800 832 845 850 871 884 950 988 1000 1024 1040 1072 1088 1105 1139 1216 1235 1273 1280 1292 1300 1340 1352 1360 1520 1600 1615 1625 1664 1675 1690 1700 1742 1768 1900 1976 2000 2080 2125 2144 2176 2210 2278 2375 2432 2470 2546 2560 2584 2600 2680 2704 2720 2873 3040 3200 3211 3230 3250 3328 3350 3380 3400 3484 3536 3800 3952 4000 4160 4199 4225 4250 4288 4352 4355 4420 4556 4750 4864 4940 5092 5120 5168 5200 5360 5408 5440 5525 5695 5746 6080 6175 6365 6400 6422 6460 6500 6656 6700 6760 6800 6968 7072 7600 7904 8000 8075 8320 8375 8398 8450 8500 8576 8704 8710 8840 9112 9500 9728 9880 10184 10336 10400 10720 10816 10880 11050 11323 11390 11492 12160 12350 12730 12800 12844 12920 13000 13312 13400 13520 13600 13936 14144 14365 14807 15200 15808 16000 16055 16150 16549 16640 16750 16796 16900 17000 17152 17408 17420 17680 18224 19000 19456 19760 20368 20672 20800 20995 21125 21440 21632 21641 21760 21775 22100 22646 22780 22984 24320 24700 25460 25600 25688 25840 26000 26800 27040 27200 27625 27872 28288 28475 28730 29614 30400 30875 31616 31825 32000 32110 32300 33098 33280 33500 33592 33800 34000 34304 34840 35360 36448 38000 39520 40375 40736 41344 41600 41990 42250 42880 43264 43282 43520 43550 44200 45292 45560 45968 48640 49400 50920 51376 51680 52000 53600 54080 54400 54587 55250 55744 56576 56615 56950 57460 59228 60800 61750 63232 63650 64000 64220 64600 66196 66560 67000 67184 67600 68000 68608 69680 70720 71825 72896 74035 76000 79040 80275 80750 81472 82688 82745 83200 83980 84500 85760 86528 86564 87040 87100 88400 90584 91120 91936 97280 98800 101840 102752 103360 104000 104975 107200 108160 108205 108800 108875 109174 110500 111488 113152 113230 113900 114920 118456 121600 123500 126464 127300 128000 128440 129200 132392 134000 134368 135200 136000 139360 141440 142375 143650 145792 148070 152000 158080 159125 160550 161500 162944 165376 165490 166400 167960 169000 171520 173056 173128 174200 176800 181168 182240 183872 192491 197600 203680 205504 206720 208000 209950 214400 215137 216320 216410 217600 217750 218348 221000 222976 226304 226460 227800 229840 236912 243200 247000 252928 254600 256880 258400 264784 268000 268736 270400 272000 272935 278720 281333 282880 283075 284750 287300 291584 296140 304000 316160 318250 321100 323000 325888 330752 330980 332800 335920 338000 343040 346256 348400 353600 359125 362336 364480 367744 370175 384982 395200 401375 407360 411008 413440 413725 416000 419900 428800 430274 432640 432820 435200 435500 436696 442000 445952 452920 455600 459680 473824 486400 494000 509200 513760 516800 524875 529568 536000 537472 540800 541025 544000 545870 557440 562666 565760 566150 569500 574600 583168 592280 608000 632320 636500 642200 646000 651776 661960 671840 676000 692512 696800 707200 718250 724672 728960 735488 740350 769964 790400 802750 814720 822016 826880 827450 832000 839800 857600 860548 865280 865640 871000 873392 884000 891904 905840 911200 919360 947648 962455 988000 1018400 1027520 1033600 1049750 1059136 1072000 1074944 1075685 1081600 1082050 1088000 1091740 1114880 1125332 1131520 1132300 1139000 1149200 1166336 1184560 1216000 1264640 1273000 1284400 1292000 1303552 1323920 1343680 1352000 1364675 1385024 1393600 1406665 1414400 1415375 1436500 1449344 1457920 1470976 1480700 1539928 1580800 1605500 1629440 1644032 1653760 1654900 1664000 1679600 1715200 1721096 1731280 1742000 1746784 1768000 1811680 1822400 1838720 1850875 1895296 1924910 1976000 2036800 2055040 2067200 2068625 2099500 2118272 2144000 2149888 2151370 2163200 2164100 2176000 2183480 2229760 2250664 2264600 2278000 2298400 2369120 2432000 2546000 2568800 2584000 2647840 2687360 2704000 2705125 2729350 2770048 2787200 2813330 2828800 2830750 2873000 2898688 2915840 2941952 2961400 3079856 3161600 3211000 3258880 3288064 3309800 3359200 3442192 3462560 3484000 3493568 3536000 3623360 3644800 3657329 3677440 3701750 3790592 3849820 3952000 4073600 4110080 4134400 4137250 4199000 4236544 4288000 4299776 4302740 4326400 4328200 4366960 4459520 4501328 4529200 4556000 4596800 4738240 4812275 5092000 5137600 5168000 5295680 5374720 5378425 5408000 5410250 5458700 5540096 5574400 5626660 5657600 5661500 5746000 5797376 5831680 5922800 6159712 6323200 6422000 6517760 6619600 6718400 6823375 6884384 6925120 6968000 6987136 7033325 7072000 7246720 7289600 7314658 7354880 7403500 7581184 7699640 7904000 8147200 8220160 8268800 8274500 8398000 8473088 8576000 8605480 8656400 8733920 9002656 9058400 9112000 9193600 9476480 9624550 10184000 10275200 10336000 10591360 10749440 10756850 10816000 10820500 10917400 11080192 11148800 11253320 11323000 11492000 11594752 11845600 12319424 12844000 13239200 13436800 13646750 13768768 13850240 13936000 13974272 14066650 14144000 14493440 14579200 14629316 14709760 14807000 15162368 15399280 15808000 16294400 16440320 16549000 16796000 16946176 17210960 17312800 17467840 18005312 18116800 18224000 18286645 18387200 18952960 19249100 20368000 20550400 20672000 21182720 21498880 21513700 21632000 21641000 21834800 22160384 22297600 22506640 22646000 22984000 23691200 24061375 24638848 25688000 26478400 26873600 26892125 27293500 27537536 27700480 27872000 27948544 28133300 28288000 28986880 29158400 29258632 29614000 30798560 31616000 32588800 33098000 33592000 34421920 34625600 34935680 35166625 36010624 36233600 36448000 36573290 36774400 37905920 38498200 40736000 41100800 41344000 42365440 43027400 43282000 43669600 45013280 45292000 45968000 47382400 48122750 49277696 51376000 52956800 53747200 53784250 54587000 55075072 55400960 55744000 55897088 56266600 57973760 58517264 59228000 61597120 66196000 67184000 68843840 69251200 69871360 70333250 72021248 72467200 72896000 73146580 73548800 75811840 76996400 81472000 82201600 84730880 86054800 86564000 87339200 90026560 90584000 91433225 91936000 94764800 96245500 98555392 102752000 105913600 107494400 107568500 109174000 110150144 110801920 111488000 112533200 117034528 118456000 123194240 132392000 134368000 137687680 138502400 139742720 140666500 144042496 144934400 145792000 146293160 153992800 162944000 172109600 173128000 174678400 180053120 181168000 182866450 183872000 189529600 192491000 197110784 205504000 211827200 215137000 218348000 220300288 225066400 234069056 236912000 246388480 264784000 268736000 275375360 277004800 279485440 281333000 288084992 289868800 292586320 307985600 344219200 346256000 349356800 360106240 362336000 365732900 367744000 379059200 384982000 411008000 423654400 430274000 436696000 450132800 457166125 468138112 473824000 492776960 529568000 537472000 550750720 554009600 562666000 585172640 615971200 688438400 692512000 698713600 720212480 724672000 731465800 769964000 860548000 873392000 900265600 914332250 936276224 947648000 985553920 1059136000 1101501440 1125332000 1170345280 1231942400 1376876800 1385024000 1397427200 1440424960 1449344000 1462931600 1539928000 1721096000 1746784000 1800531200 1828664500 1872552448 1895296000 2118272000 2250664000 2340690560 2463884800 2753753600 2770048000 2925863200 3079856000 3442192000 3493568000 3601062400 3657329000 3745104896 4501328000 4681381120 4927769600 5507507200 5851726400 6159712000 6884384000 6987136000 7202124800 7314658000 9002656000 9362762240 11703452800 12319424000 13768768000 14629316000 18005312000 18725524480 23406905600 24638848000 27537536000 29258632000 36010624000 46813811200 58517264000 93627622400 117034528000 234069056000 468138112000
- Sum of all divisors σ(n): 1430556266880
- Sum of proper divisors (its aliquot sum) s(n): 962418154880
- 468138112000 is an abundant number, because the sum of its proper divisors (962418154880) is greater than itself. Its abundance is 494280042880
Bases of 468138112000
- Binary: 1101100111111110011010010110100000000002
- Hexadecimal: 0x6CFF34B400
- Base-36: 5Z25CF0G
Squares and roots of 468138112000
- 468138112000 squared (4681381120002) is 219153291906924544000000
- 468138112000 cubed (4681381120003) is 102594008311892535754620928000000000
-
The
square root of 468138112000 is 684206.1911441609 -
The
cube root of 468138112000 is 7764.6997428065
Scales and comparisons
How big is 468138112000?- 468,138,112,000 seconds is equal to 14,885 years, 17 weeks, 6 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 468,138,112,000 would take you about twenty-nine thousand, seven hundred seventy 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 468138112000 cubic inches would be around 647.1 feet tall.
Recreational maths with 468138112000
- 468138112000 backwards is 000211831864
- 468138112000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 468138112000's digits is 34
- More coming soon!
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The information we have on file for 468138112000 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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