14120678144000
14,120,678,144,000 is an even composite number composed of six prime numbers multiplied together.
14120678144000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 14120678144000:
211 × 53 × 23 × 29 × 41 × 2017
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 23 × 29 × 41 × 2017)See below for interesting mathematical facts about the number 14120678144000 from the Numbermatics database.
Names of 14120678144000
- Cardinal: 14120678144000 can be written as Fourteen trillion, one hundred twenty billion, six hundred seventy-eight million, one hundred forty-four thousand.
Scientific notation
- Scientific notation: 1.4120678144 × 1013
Factors of 14120678144000
Divisors of 14120678144000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 16 20 23 25 29 32 40 41 46 50 58 64 80 82 92 100 115 116 125 128 145 160 164 184 200 205 230 232 250 256 290 320 328 368 400 410 460 464 500 512 575 580 640 656 667 725 736 800 820 920 928 943 1000 1024 1025 1150 1160 1189 1280 1312 1334 1450 1472 1600 1640 1840 1856 1886 2000 2017 2048 2050 2300 2320 2378 2560 2624 2668 2875 2900 2944 3200 3280 3335 3625 3680 3712 3772 4000 4034 4100 4600 4640 4715 4756 5120 5125 5248 5336 5750 5800 5888 5945 6400 6560 6670 7250 7360 7424 7544 8000 8068 8200 9200 9280 9430 9512 10085 10240 10250 10496 10672 11500 11600 11776 11890 12800 13120 13340 14500 14720 14848 15088 16000 16136 16400 16675 18400 18560 18860 19024 20170 20500 20992 21344 23000 23200 23552 23575 23780 25600 26240 26680 27347 29000 29440 29696 29725 30176 32000 32272 32800 33350 36800 37120 37720 38048 40340 41000 41984 42688 46000 46391 46400 47104 47150 47560 50425 51200 52480 53360 54694 58000 58493 58880 59392 59450 60352 64000 64544 65600 66700 73600 74240 75440 76096 80680 82000 82697 83375 83968 85376 92000 92782 92800 94300 95120 100850 104960 106720 109388 116000 116986 117760 117875 118900 120704 128000 129088 131200 133400 136735 147200 148480 148625 150880 152192 161360 164000 165394 166750 170752 184000 185564 185600 188600 190240 201700 209920 213440 218776 231955 232000 233972 235520 235750 237800 241408 252125 256000 258176 262400 266800 273470 292465 294400 296960 297250 301760 304384 322720 328000 330788 333500 341504 368000 371128 371200 377200 380480 403400 413485 419840 426880 437552 463910 464000 467944 471500 475600 482816 504250 516352 524800 533600 546940 584930 588800 594500 603520 608768 645440 656000 661576 667000 683008 683675 736000 742256 742400 754400 760960 806800 826970 853760 875104 927820 928000 935888 943000 951200 965632 1008500 1032704 1049600 1067200 1093880 1159775 1169860 1177600 1189000 1207040 1217536 1290880 1312000 1323152 1334000 1345339 1366016 1367350 1462325 1472000 1484512 1484800 1508800 1521920 1613600 1653940 1707520 1750208 1855640 1856000 1871776 1886000 1902031 1902400 1931264 2017000 2065408 2067425 2099200 2134400 2187760 2319550 2339720 2378000 2398213 2414080 2435072 2581760 2624000 2646304 2668000 2690678 2734700 2924650 2944000 2969024 3017600 3043840 3227200 3307880 3415040 3418375 3500416 3711280 3712000 3743552 3772000 3804062 3804800 4034000 4130816 4134850 4268800 4375520 4639100 4679440 4756000 4796426 4828160 5163520 5248000 5292608 5336000 5381356 5469400 5798875 5849300 5888000 5938048 6035200 6087680 6454400 6615760 6726695 6830080 6836750 7000832 7311625 7422560 7424000 7487104 7544000 7608124 7609600 8068000 8269700 8537600 8751040 9278200 9358880 9510155 9512000 9592852 9656320 10327040 10337125 10496000 10585216 10672000 10762712 10938800 11597750 11698600 11876096 11991065 12070400 12175360 12908800 13231520 13453390 13673500 14001664 14623250 14845120 14974208 15088000 15216248 15219200 16136000 16539400 17075200 17502080 18556400 18717760 19020310 19024000 19185704 20654080 20674250 21170432 21344000 21525424 21877600 23195500 23397200 23752192 23982130 24140800 25817600 26463040 26906780 27347000 28003328 29246500 29690240 29948416 30176000 30432496 30438400 32272000 33078800 33633475 34150400 35004160 37112800 37435520 38040620 38048000 38371408 41348500 42340864 42688000 43050848 43755200 46391000 46794400 47504384 47550775 47964260 48281600 51635200 52926080 53813560 54694000 55158899 56006656 58493000 59380480 59896832 59955325 60352000 60864992 60876800 64544000 66157600 67266950 70008320 74225600 74871040 76081240 76096000 76742816 82697000 84681728 85376000 86101696 87510400 92782000 93588800 95008768 95101550 95928520 103270400 105852160 107627120 109388000 110317798 116986000 118760960 119793664 119910650 120704000 121729984 129088000 132315200 134533900 140016640 148451200 149742080 152162480 152192000 153485632 165394000 168167375 169363456 170752000 172203392 175020800 185564000 187177600 190203100 191857040 211704320 215254240 218776000 220635596 233972000 237521920 237753875 239821300 241408000 243459968 258176000 264630400 269067800 275794495 280033280 296902400 299484160 299776625 304324960 304384000 306971264 330788000 336334750 344406784 350041600 371128000 374355200 380406200 383714080 423408640 430508480 437552000 441271192 467944000 475043840 475507750 479642600 486919936 516352000 529260800 538135600 551588990 593804800 598968320 599553250 608649920 613942528 661576000 672669500 688813568 700083200 742256000 748710400 760812400 767428160 846817280 861016960 875104000 882542384 935888000 951015500 959285200 973839872 1058521600 1076271200 1103177980 1187609600 1199106500 1217299840 1227885056 1323152000 1345339000 1377627136 1378972475 1400166400 1484512000 1497420800 1521624800 1534856320 1722033920 1750208000 1765084768 1871776000 1902031000 1918570400 1947679744 2117043200 2152542400 2206355960 2375219200 2398213000 2434599680 2455770112 2646304000 2690678000 2755254272 2757944950 2969024000 2994841600 3043249600 3069712640 3444067840 3500416000 3530169536 3743552000 3804062000 3837140800 3895359488 4234086400 4305084800 4412711920 4796426000 4869199360 4911540224 5292608000 5381356000 5515889900 5938048000 6086499200 6139425280 6888135680 6894862375 7000832000 7060339072 7487104000 7608124000 7674281600 8610169600 8825423840 9592852000 9738398720 10585216000 10762712000 11031779800 11876096000 12172998400 12278850560 13776271360 13789724750 14120678144 14974208000 15216248000 15348563200 17220339200 17650847680 19185704000 19476797440 21170432000 21525424000 22063559600 24345996800 24557701120 27579449500 28241356288 30432496000 30697126400 34440678400 35301695360 38371408000 43050848000 44127119200 48691993600 55158899000 56482712576 60864992000 61394252800 68881356800 70603390720 76742816000 86101696000 88254238400 97383987200 110317798000 112965425152 121729984000 122788505600 141206781440 153485632000 172203392000 176508476800 220635596000 243459968000 282413562880 306971264000 344406784000 353016953600 441271192000 486919936000 564827125760 613942528000 706033907200 882542384000 1412067814400 1765084768000 2824135628800 3530169536000 7060339072000 14120678144000
- Sum of all divisors σ(n): 38983556102400
- Sum of proper divisors (its aliquot sum) s(n): 24862877958400
- 14120678144000 is an abundant number, because the sum of its proper divisors (24862877958400) is greater than itself. Its abundance is 10742199814400
Bases of 14120678144000
- Binary: 110011010111101110100000000100111000000000002
- Hexadecimal: 0xCD7BA013800
- Base-36: 506Y76JNK
Squares and roots of 14120678144000
- 14120678144000 squared (141206781440002) is 199393551246439284736000000
- 14120678144000 cubed (141206781440003) is 2815572161140139165794628009984000000000
-
The
square root of 14120678144000 is 3757749.0794357199 -
The
cube root of 14120678144000 is 24170.4749688797
Scales and comparisons
How big is 14120678144000?- 14,120,678,144,000 seconds is equal to 448,993 years, 46 weeks, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 14,120,678,144,000 would take you about one million, one hundred twenty-two thousand, four hundred eighty-four 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 14120678144000 cubic inches would be around 2014.2 feet tall.
Recreational maths with 14120678144000
- 14120678144000 backwards is 00044187602141
- The number of decimal digits it has is: 14
- The sum of 14120678144000's digits is 38
- More coming soon!
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