4214742144000
4,214,742,144,000 is an even composite number composed of six prime numbers multiplied together.
4214742144000 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 4214742144000:
210 × 3 × 53 × 292 × 31 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 29 × 29 × 31 × 421)See below for interesting mathematical facts about the number 4214742144000 from the Numbermatics database.
Names of 4214742144000
- Cardinal: 4214742144000 can be written as Four trillion, two hundred fourteen billion, seven hundred forty-two million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 4.214742144 × 1012
Factors of 4214742144000
Divisors of 4214742144000
- Number of divisors d(n): 1056
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 29 30 31 32 40 48 50 58 60 62 64 75 80 87 93 96 100 116 120 124 125 128 145 150 155 160 174 186 192 200 232 240 248 250 256 290 300 310 320 348 372 375 384 400 421 435 464 465 480 496 500 512 580 600 620 640 696 725 744 750 768 775 800 841 842 870 899 928 930 960 992 1000 1024 1160 1200 1240 1263 1280 1392 1450 1488 1500 1536 1550 1600 1682 1684 1740 1798 1856 1860 1920 1984 2000 2105 2175 2320 2325 2400 2480 2523 2526 2560 2697 2784 2900 2976 3000 3072 3100 3200 3364 3368 3480 3596 3625 3712 3720 3840 3875 3968 4000 4205 4210 4350 4495 4640 4650 4800 4960 5046 5052 5120 5394 5568 5800 5952 6000 6200 6315 6400 6728 6736 6960 7192 7250 7424 7440 7680 7750 7936 8000 8410 8420 8700 8990 9280 9300 9600 9920 10092 10104 10525 10788 10875 11136 11600 11625 11904 12000 12209 12400 12615 12630 12800 13051 13456 13472 13485 13920 14384 14500 14848 14880 15360 15500 15872 16000 16820 16840 17400 17980 18560 18600 19200 19840 20184 20208 21025 21050 21576 21750 22272 22475 23200 23250 23808 24000 24418 24800 25230 25260 25600 26071 26102 26912 26944 26970 27840 28768 29000 29696 29760 31000 31575 31744 32000 33640 33680 34800 35960 36627 37120 37200 38400 39153 39680 40368 40416 42050 42100 43152 43500 44544 44950 46400 46500 47616 48000 48836 49600 50460 50520 52142 52204 52625 53824 53888 53940 55680 57536 58000 59520 61045 62000 63075 63150 64000 65255 67280 67360 67425 69600 71920 73254 74240 74400 76800 78213 78306 79360 80736 80832 84100 84200 86304 87000 89088 89900 92800 93000 95232 96000 97672 99200 100920 101040 104284 104408 105125 105250 107648 107776 107880 111360 112375 115072 116000 119040 122090 124000 126150 126300 128000 130355 130510 134560 134720 134850 139200 143840 146508 148480 148800 156426 156612 157875 158720 161472 161664 168200 168400 172608 174000 179800 183135 185600 186000 192000 195344 195765 198400 201840 202080 208568 208816 210250 210500 215296 215552 215760 222720 224750 230144 232000 238080 244180 248000 252300 252600 260710 261020 269120 269440 269700 278400 287680 293016 297600 305225 312852 313224 315375 315750 322944 323328 326275 336400 336800 337125 345216 348000 354061 359600 366270 371200 372000 378479 384000 390688 391065 391530 396800 403680 404160 417136 417632 420500 421000 430592 431104 431520 445440 449500 460288 464000 476160 488360 496000 504600 505200 521420 522040 538240 538880 539400 556800 575360 586032 595200 610450 625704 626448 630750 631500 645888 646656 651775 652550 672800 673600 674250 690432 696000 708122 719200 732540 742400 744000 756958 781376 782130 783060 793600 807360 808320 834272 835264 841000 842000 861184 863040 899000 915675 920576 928000 976720 978825 992000 1009200 1010400 1042840 1044080 1062183 1076480 1077760 1078800 1113600 1135437 1150720 1172064 1190400 1220900 1251408 1252896 1261500 1263000 1291776 1293312 1303550 1305100 1345600 1347200 1348500 1380864 1392000 1416244 1438400 1465080 1488000 1513916 1526125 1562752 1564260 1566120 1614720 1616640 1631375 1668544 1670528 1682000 1684000 1726080 1770305 1798000 1831350 1856000 1892395 1953440 1955325 1957650 1984000 2018400 2020800 2085680 2088160 2124366 2152960 2155520 2157600 2227200 2270874 2301440 2344128 2380800 2441800 2502816 2505792 2523000 2526000 2583552 2607100 2610200 2691200 2694400 2697000 2761728 2784000 2832488 2876800 2930160 2976000 3027832 3052250 3125504 3128520 3132240 3229440 3233280 3258875 3262750 3337088 3341056 3364000 3368000 3452160 3540610 3596000 3662700 3712000 3784790 3906880 3910650 3915300 3968000 4036800 4041600 4171360 4176320 4248732 4305920 4315200 4541748 4578375 4602880 4688256 4883600 4894125 5005632 5011584 5046000 5052000 5214200 5220400 5310915 5382400 5388800 5394000 5568000 5664976 5677185 5753600 5860320 5952000 6055664 6104500 6251008 6257040 6264480 6458880 6466560 6517750 6525500 6674176 6682112 6728000 6736000 6904320 7081220 7192000 7325400 7569580 7813760 7821300 7830600 8073600 8083200 8342720 8352640 8497464 8630400 8851525 9083496 9156750 9376512 9461975 9767200 9776625 9788250 10011264 10023168 10092000 10104000 10428400 10440800 10621830 10764800 10777600 10788000 10975891 11136000 11329952 11354370 11507200 11720640 11904000 12111328 12209000 12502016 12514080 12528960 12917760 13035500 13051000 13348352 13364224 13456000 13472000 13808640 14162440 14384000 14650800 15139160 15627520 15642600 15661200 16147200 16166400 16685440 16705280 16994928 17260800 17703050 18166992 18313500 18753024 18923950 19534400 19553250 19576500 20022528 20046336 20184000 20208000 20856800 20881600 21243660 21529600 21576000 21951782 22659904 22708740 23014400 23441280 24222656 24418000 25028160 25057920 26071000 26102000 26554575 26696704 26912000 26944000 28324880 28385925 28768000 29301600 30278320 31255040 31285200 31322400 32294400 32332800 32927673 33370880 33410560 33989856 34521600 35406100 36333984 36627000 37506048 37847900 39068800 39106500 39153000 40045056 40092672 40368000 40416000 41713600 41763200 42487320 43152000 43903564 44257625 45319808 45417480 46882560 47309875 48445312 48836000 50056320 50115840 52142000 52204000 53109150 53824000 53888000 54879455 56649760 56771850 57536000 58603200 60556640 62510080 62570400 62644800 64588800 65855346 66741760 66821120 67979712 69043200 70812200 72667968 73254000 75695800 78137600 78213000 78306000 80090112 80736000 80832000 83427200 83526400 84974640 86304000 87807128 88515250 90639616 90834960 93765120 94619750 96890624 97672000 100112640 100231680 104284000 104408000 106218300 107648000 109758910 113299520 113543700 115072000 117206400 121113280 125140800 125289600 131710692 132772875 133483520 135959424 141624400 141929625 145335936 146508000 151391600 156275200 156426000 156612000 161472000 161664000 164638365 166854400 167052800 169949280 172608000 175614256 177030500 181279232 181669920 187530240 189239500 193781248 195344000 200225280 200463360 208568000 208816000 212436600 219517820 226599040 227087400 234412800 242226560 250281600 250579200 263421384 265545750 271918848 274397275 283248800 283859250 290671872 293016000 302783200 312550400 312852000 313224000 322944000 329276730 333708800 334105600 339898560 345216000 351228512 354061000 362558464 363339840 378479000 387562496 390688000 400450560 417136000 417632000 424873200 439035640 453198080 454174800 468825600 484453120 500563200 501158400 526842768 531091500 543837696 548794550 566497600 567718500 581343744 586032000 605566400 625704000 626448000 658553460 667417600 679797120 702457024 708122000 726679680 756958000 781376000 823191825 834272000 835264000 849746400 878071280 906396160 908349600 937651200 968906240 1001126400 1002316800 1053685536 1062183000 1087675392 1097589100 1132995200 1135437000 1162687488 1172064000 1211132800 1251408000 1252896000 1317106920 1359594240 1371986375 1404914048 1416244000 1453359360 1513916000 1562752000 1646383650 1668544000 1670528000 1699492800 1756142560 1812792320 1816699200 1937812480 2002252800 2107371072 2124366000 2195178200 2265990400 2270874000 2344128000 2422265600 2502816000 2505792000 2634213840 2719188480 2743972750 2809828096 2832488000 2906718720 3027832000 3292767300 3337088000 3398985600 3512285120 3633398400 4115959125 4214742144 4248732000 4390356400 4531980800 4541748000 4688256000 4844531200 5005632000 5011584000 5268427680 5438376960 5487945500 5619656192 5664976000 5813437440 6055664000 6585534600 6797971200 7024570240 7266796800 8231918250 8429484288 8497464000 8780712800 9063961600 9083496000 9689062400 10011264000 10536855360 10975891000 11239312384 11329952000 12111328000 13171069200 13595942400 14049140480 14533593600 16463836500 16858968576 16994928000 17561425600 18166992000 21073710720 21951782000 22659904000 24222656000 26342138400 27191884800 28098280960 29067187200 32927673000 33717937152 33989856000 35122851200 36333984000 42147421440 43903564000 45319808000 48445312000 52684276800 56196561920 65855346000 67979712000 70245702400 72667968000 84294842880 87807128000 105368553600 131710692000 135959424000 140491404800 145335936000 168589685760 175614256000 210737107200 263421384000 280982809600 351228512000 421474214400 526842768000 702457024000 842948428800 1053685536000 1404914048000 2107371072000 4214742144000
- Sum of all divisors σ(n): 15023911498752
- Sum of proper divisors (its aliquot sum) s(n): 10809169354752
- 4214742144000 is an abundant number, because the sum of its proper divisors (10809169354752) is greater than itself. Its abundance is 6594427210752
Bases of 4214742144000
- Binary: 1111010101010100100011010101010100000000002
- Hexadecimal: 0x3D552355400
- Base-36: 1HS84NFUO
Squares and roots of 4214742144000
- 4214742144000 squared (42147421440002) is 17764051340409716736000000
- 4214742144000 cubed (42147421440003) is 74870895832604523354321321984000000000
-
The
square root of 4214742144000 is 2052983.7174220355 -
The
cube root of 4214742144000 is 16153.1417161085
Scales and comparisons
How big is 4214742144000?- 4,214,742,144,000 seconds is equal to 134,015 years, 39 weeks, 4 days, 18 hours, 40 minutes.
-
To count from 1 to 4,214,742,144,000 would take you about three hundred thirty-five thousand and thirty-nine 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 4214742144000 cubic inches would be around 1346.1 feet tall.
Recreational maths with 4214742144000
- 4214742144000 backwards is 0004412474124
- The number of decimal digits it has is: 13
- The sum of 4214742144000's digits is 33
- More coming soon!
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The information we have on file for 4214742144000 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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