42164958893200
42,164,958,893,200 is an even composite number composed of eight prime numbers multiplied together.
What does the number 42164958893200 look like?
This visualization shows the relationship between its 8 prime factors (large circles) and 960 divisors.
42164958893200 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of nine hundred sixty divisors.
Prime factorization of 42164958893200:
24 × 52 × 11 × 13 × 17 × 19 × 37 × 61681
(2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 17 × 19 × 37 × 61681)See below for interesting mathematical facts about the number 42164958893200 from the Numbermatics database.
Names of 42164958893200
- Cardinal: 42164958893200 can be written as Forty-two trillion, one hundred sixty-four billion, nine hundred fifty-eight million, eight hundred ninety-three thousand, two hundred.
Scientific notation
- Scientific notation: 4.21649588932 × 1013
Factors of 42164958893200
Divisors of 42164958893200
- Number of divisors d(n): 960
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 17 19 20 22 25 26 34 37 38 40 44 50 52 55 65 68 74 76 80 85 88 95 100 104 110 130 136 143 148 152 170 176 185 187 190 200 208 209 220 221 247 260 272 275 286 296 304 323 325 340 370 374 380 400 407 418 425 440 442 475 481 494 520 550 572 592 629 646 650 680 703 715 740 748 760 814 836 850 880 884 925 935 950 962 988 1040 1045 1100 1105 1144 1235 1258 1292 1300 1360 1406 1430 1480 1496 1520 1615 1628 1672 1700 1768 1850 1870 1900 1924 1976 2035 2090 2200 2210 2288 2405 2431 2470 2516 2584 2600 2717 2812 2860 2960 2992 3145 3230 3256 3344 3400 3515 3536 3553 3575 3700 3740 3800 3848 3952 4070 4180 4199 4400 4420 4675 4810 4862 4940 5032 5168 5200 5225 5291 5434 5525 5624 5720 6175 6290 6460 6512 6800 6919 7030 7106 7150 7400 7480 7600 7696 7733 8075 8140 8177 8360 8398 8840 9139 9350 9620 9724 9880 10064 10175 10450 10582 10868 11050 11248 11440 11951 12025 12155 12350 12580 12920 13585 13838 14060 14212 14300 14800 14960 15466 15725 16150 16280 16354 16720 16796 17575 17680 17765 18278 18700 19240 19448 19760 20350 20900 20995 21164 21736 22100 23902 24050 24310 24700 25160 25840 26455 27170 27676 28120 28424 28600 30932 31450 32300 32560 32708 33592 34595 35150 35530 36556 37400 38480 38665 38896 40700 40885 41800 41990 42328 43472 44200 45695 46189 47804 48100 48620 49400 50320 52910 54340 55352 56240 56848 57200 59755 60775 61681 61864 62900 64600 65416 67184 67925 69190 70300 71060 73112 74800 77330 81400 81770 83600 83980 84656 88400 88825 89947 91390 92378 95608 96200 97240 98800 100529 104975 105820 108680 110704 119510 121550 123362 123728 125800 129200 130832 131461 132275 135850 138380 140600 142120 146224 154660 155363 162800 163540 167960 172975 177650 179894 182780 184756 191216 192400 193325 194480 201058 204425 209950 211640 217360 228475 230945 239020 243100 246724 251600 262922 264550 271700 276760 281200 284240 298775 308405 309320 310726 327080 335920 345950 355300 359788 365560 369512 386650 402116 408850 419900 423280 449735 456950 461890 478040 486200 493448 502645 525844 529100 543400 553520 597550 616810 618640 621452 654160 657305 678491 691900 710600 719576 731120 739024 773300 776815 801853 804232 817700 839800 899470 913900 923780 956080 972400 986896 1005290 1048577 1051688 1058200 1086800 1154725 1171939 1195100 1233620 1242904 1314610 1356982 1383800 1421200 1439152 1542025 1546600 1553630 1603706 1608464 1635400 1679600 1708993 1798940 1827800 1847560 2010580 2097154 2103376 2116400 2248675 2282197 2309450 2343878 2390200 2467240 2485808 2513225 2629220 2713964 2767600 3084050 3093200 3107260 3207412 3270800 3286525 3392455 3417986 3597880 3655600 3695120 3884075 4009265 4021160 4194308 4497350 4564394 4618900 4687756 4780400 4934480 5026450 5242885 5258440 5427928 5859695 6168100 6214520 6414824 6573050 6784910 6835972 7195760 7768150 8018530 8042320 8388616 8544965 8820383 8994700 9128788 9237800 9375512 10052900 10485770 10516880 10855856 11410985 11534347 11719390 12336200 12429040 12829648 12891329 13146100 13569820 13631501 13671944 15235207 15536300 16037060 16777232 16962275 17089930 17640766 17989400 18257576 18475600 18751024 19922963 20046325 20105800 20971540 22821970 23068694 23438780 24672400 25104167 25782658 26214425 26292200 27139640 27263002 27343888 29298475 29668561 30470414 31072600 32074120 33924550 34179860 35281532 35978800 36515152 38797349 39845926 40092650 40211600 41943080 42724825 43361743 44101915 45643940 46137388 46877560 50208334 51565316 52428850 52584400 54279280 54526004 57054925 57671735 58596950 59337122 60940828 62145200 64148240 64456645 67849100 68157505 68359720 70563064 76176035 77594698 79691852 80185300 83886160 85449650 86723486 88203830 91287880 92274776 93755120 99614815 100416668 103130632 104857700 109052008 114109850 115343470 117193900 118674244 121881656 125520835 128913290 135698200 136315010 136719440 141126128 148342805 149946511 152352070 155189396 159383704 160370600 167587277 170899300 173446972 176407660 182575760 184549552 193986745 199229630 200833336 206261264 209715400 216808715 218104016 219152593 220509575 228219700 230686940 234387800 237348488 243763312 251041670 257826580 258998519 271396400 272630020 288358675 296685610 299893022 304704140 310378792 318767408 320741200 322283225 326354171 335174554 340787525 341798600 346893944 352815320 380880175 387973490 398459260 401666672 419430800 426770839 433617430 438305186 441019150 456439400 461373880 468775600 474696976 476979173 498074075 502083340 504365537 515653160 517997038 545260040 563702659 576717350 593371220 599786044 609408280 620757584 627604175 644566450 652708342 670349108 681575050 683597200 693787888 705630640 737149631 741714025 749732555 761760350 775946980 796918520 837936385 853541678 867234860 876610372 882038300 912878800 922747760 953958346 969933725 996148150 1004166680 1008731074 1031306320 1035994076 1084043575 1090520080 1095762965 1127405318 1153434700 1186742440 1199572088 1218816560 1255208350 1289132900 1294992595 1305416684 1340698216 1363150100 1474299262 1483428050 1499465110 1523520700 1551893960 1593837040 1631770855 1675872770 1707083356 1734469720 1753220744 1764076600 1907916692 1939867450 1992296300 2008333360 2017462148 2071988152 2133854195 2168087150 2191525930 2254810636 2306869400 2373484880 2384895865 2399144176 2510416700 2521827685 2578265800 2589985190 2610833368 2681396432 2726300200 2818513295 2848983709 2948598524 2966856100 2998930220 3047041400 3103787920 3263541710 3351745540 3414166712 3468939440 3506441488 3528153200 3685748155 3748662775 3815833384 3879734900 3984592600 4034924296 4143976304 4189681925 4267708390 4336174300 4383051860 4509621272 4613738800 4769791730 5020833400 5043655370 5156531600 5179970380 5221666736 5452600400 5478814825 5548020907 5637026590 5697967418 5897197048 5933712200 5997860440 6094082800 6200729249 6474962975 6527083420 6703491080 6828333424 7371496310 7497325550 7631666768 7759469800 7969185200 8069848592 8108645941 8158854275 8379363850 8535416780 8672348600 8766103720 9019242544 9539583460 9582945203 10041666800 10087310740 10359940760 10669270975 10957629650 11096041814 11274053180 11395934836 11794394096 11867424400 11924479325 11995720880 12401458498 12609138425 12949925950 13054166840 13406982160 14092566475 14244918545 14742992620 14994651100 15518939600 16217291882 16317708550 16758727700 17070833560 17344697200 17532207440 18428740775 19079166920 19165890406 20174621480 20719881520 21338541950 21915259300 22192083628 22548106360 22791869672 23848958650 24802916996 25218276850 25899851900 26108333680 27740104535 28185132950 28489837090 29485985240 29989302200 31003646245 32434583764 32635417100 33517455400 34141667120 36857481550 38158333840 38331780812 40349242960 40543229705 42677083900 43830518600 44384167256 45096212720 45583739344 47697917300 47914726015 49605833992 50436553700 51799703800 55480209070 56370265900 56979674180 58971970480 59978604400 62007292490 64869167528 65270834200 67034910800 71224592725 73714963100 76663561624 81086459410 85354167800 87661037200 88768334512 95395834600 95829452030 99211667984 100873107400 103599407600 105412397233 110960418140 112740531800 113959348360 124014584980 129738335056 130541668400 138700522675 142449185450 147429926200 153327123248 155018231225 162172918820 170708335600 190791669200 191658904060 201746214800 202716148525 210824794466 221920836280 225481063600 227918696720 239573630075 248029169960 277401045350 284898370900 294859852400 310036462450 324345837640 383317808120 405432297050 421649588932 443841672560 479147260150 496058339920 527061986165 554802090700 569796741800 620072924900 648691675280 766635616240 810864594100 843299177864 958294520300 1054123972330 1109604181400 1139593483600 1240145849800 1621729188200 1686598355728 1916589040600 2108247944660 2219208362800 2480291699600 2635309930825 3243458376400 3833178081200 4216495889320 5270619861650 8432991778640 10541239723300 21082479446600 42164958893200
- Sum of all divisors σ(n): 136231398132480
- Sum of proper divisors (its aliquot sum) s(n): 94066439239280
- 42164958893200 is an abundant number, because the sum of its proper divisors (94066439239280) is greater than itself. Its abundance is 51901480346080
Bases of 42164958893200
- Binary: 10011001011001010010110110010110010100100100002
- Hexadecimal: 0x26594B659490
- Base-36: EY2BBUW0G
Squares and roots of 42164958893200
- 42164958893200 squared (421649588932002) is 1777883758465245769006240000
- 42164958893200 cubed (421649588932003) is 74964395592575005370983332214293568000000
-
The
square root of 42164958893200 is 6493455.0813261193 -
The
cube root of 42164958893200 is 34805.7150556863
Scales and comparisons
How big is 42164958893200?- 42,164,958,893,200 seconds is equal to 1,340,715 years, 13 weeks, 6 days, 13 hours, 26 minutes, 40 seconds.
-
To count from 1 to 42,164,958,893,200 would take you about three million, three hundred fifty-one thousand, seven hundred eighty-eight 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 42164958893200 cubic inches would be around 2900.5 feet tall.
Recreational maths with 42164958893200
- 42164958893200 backwards is 00239885946124
- The number of decimal digits it has is: 14
- The sum of 42164958893200's digits is 61
- More coming soon!
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The information we have on file for 42164958893200 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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