13742639009792000
13,742,639,009,792,000 is an even composite number composed of six prime numbers multiplied together.
13742639009792000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, six hundred eight divisors.
Prime factorization of 13742639009792000:
215 × 53 × 73 × 11 × 232 × 412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 11 × 23 × 23 × 41 × 41)See below for interesting mathematical facts about the number 13742639009792000 from the Numbermatics database.
Names of 13742639009792000
- Cardinal: 13742639009792000 can be written as Thirteen quadrillion, seven hundred forty-two trillion, six hundred thirty-nine billion, nine million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3742639009792 × 1016
Factors of 13742639009792000
Divisors of 13742639009792000
- Number of divisors d(n): 4608
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Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 23 25 28 32 35 40 41 44 46 49 50 55 56 64 70 77 80 82 88 92 98 100 110 112 115 125 128 140 154 160 161 164 175 176 184 196 200 205 220 224 230 245 250 253 256 275 280 287 308 320 322 328 343 350 352 368 385 392 400 410 440 448 451 460 490 500 506 512 529 539 550 560 574 575 616 640 644 656 686 700 704 736 770 784 800 805 820 875 880 896 902 920 943 980 1000 1012 1024 1025 1058 1078 1100 1120 1127 1148 1150 1225 1232 1265 1280 1288 1312 1372 1375 1400 1408 1435 1472 1540 1568 1600 1610 1640 1681 1715 1750 1760 1771 1792 1804 1840 1886 1925 1960 2000 2009 2024 2048 2050 2116 2156 2200 2240 2254 2255 2296 2300 2450 2464 2530 2560 2576 2624 2645 2695 2744 2750 2800 2816 2870 2875 2944 3080 3136 3157 3200 3220 3280 3362 3430 3500 3520 3542 3584 3608 3680 3703 3772 3773 3850 3920 4000 4018 4025 4048 4096 4100 4232 4312 4400 4480 4508 4510 4592 4600 4715 4900 4928 5060 5120 5125 5152 5248 5290 5390 5488 5500 5600 5632 5635 5740 5750 5819 5888 6125 6160 6272 6314 6325 6400 6440 6560 6601 6724 6860 7000 7040 7084 7168 7175 7216 7360 7406 7544 7546 7700 7840 7889 8000 8036 8050 8096 8192 8200 8405 8464 8575 8624 8800 8855 8960 9016 9020 9184 9200 9430 9625 9800 9856 10045 10120 10240 10250 10304 10373 10496 10580 10780 10976 11000 11200 11264 11270 11275 11480 11500 11638 11767 11776 12250 12320 12397 12544 12628 12650 12800 12880 13120 13202 13225 13448 13475 13720 14000 14063 14080 14168 14336 14350 14432 14720 14812 15088 15092 15400 15680 15778 15785 16000 16072 16100 16192 16384 16400 16810 16928 17150 17248 17600 17710 17920 18032 18040 18368 18400 18491 18515 18860 18865 19250 19600 19712 20090 20125 20240 20480 20500 20608 20746 20992 21160 21560 21689 21952 22000 22099 22400 22528 22540 22550 22960 23000 23276 23534 23552 23575 24500 24640 24794 25088 25256 25300 25600 25760 25921 26240 26404 26450 26896 26950 27440 28000 28126 28160 28175 28336 28672 28700 28864 29095 29440 29624 30176 30184 30800 31360 31556 31570 31625 32000 32144 32200 32384 32768 32800 33005 33620 33856 34300 34496 35200 35420 35840 35875 36064 36080 36736 36800 36982 37030 37720 37730 38500 38663 39200 39424 39445 40180 40250 40480 40733 40960 41000 41216 41492 41984 42025 42320 42875 43120 43378 43904 44000 44198 44275 44800 45056 45080 45100 45920 46000 46207 46552 47068 47104 47150 49000 49280 49588 50176 50225 50512 50600 51200 51520 51842 51865 52480 52808 52900 53792 53900 54880 56000 56252 56320 56350 56375 56672 57344 57400 57728 58190 58835 58880 59248 60352 60368 61600 61985 62720 63112 63140 63250 64000 64288 64400 64768 65600 66010 66125 67240 67375 67712 68600 68992 70315 70400 70840 71680 71750 72128 72160 72611 73472 73600 73964 74060 75440 75460 77000 77326 78400 78848 78890 78925 80360 80500 80960 81466 81920 82000 82369 82432 82984 83968 84050 84640 85750 86240 86756 86779 87808 88000 88396 88550 89600 90112 90160 90200 91840 92000 92414 92455 92575 93104 94136 94208 94300 94325 98000 98560 99176 100352 100450 101024 101200 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1220049628000 1227021340160 1249330819072 1252062592000 1274827366400 1298926182400 1309321552000 1324847104000 1333718848000 1340745269248 1342054590800 1357968281600 1368107417600 1394342432000 1402310103040 1427806650368 1457331814400 1493765109760 1496367488000 1523574169600 1524250112000 1533776675200 1551963750400 1561663523840 1593534208000 1602640117760 1623657728000 1635055206400 1675931586560 1677568238500 1697460352000 1707160125440 1710134272000 1717829876224 1742000128000 1752887628800 1784758312960 1821181952000 1821664768000 1855608832000 1867206387200 1904467712000 1915350384640 1917220844000 1939954688000 1952079404800 1963234144256 2003300147200 2043819008000 2081902592000 2094914483200 2133950156800 2147287345280 2172749250560 2176534528000 2191109536000 2230947891200 2243696164864 2334007984000 2361683968000 2390024175616 2394187980800 2438800179200 2440099256000 2454042680320 2498661638144 2504125184000 2549654732800 2597852364800 2618643104000 2667437696000 2681490538496 2684109181600 2715936563200 2788684864000 2804620206080 2914663628800 2987530219520 2992734976000 3047148339200 3048500224000 3067553350400 3123327047680 3187068416000 3247315456000 3351863173120 3355136477000 3394920704000 3414320250880 3420268544000 3435659752448 3505775257600 3569516625920 3642363904000 3643329536000 3711217664000 3734412774400 3808935424000 3834441688000 3879909376000 3904158809600 3926468288512 4006600294400 4087638016000 4189828966400 4267900313600 4294574690560 4353069056000 4382219072000 4461895782400 4668015968000 4780048351232 4788375961600 4880198512000 4908085360640 4997323276288 5008250368000 5099309465600 5195704729600 5237286208000 5334875392000 5368218363200 5431873126400 5577369728000 5609240412160 5975060439040 5985469952000 6094296678400 6097000448000 6135106700800 6246654095360 6374136832000 6494630912000 6703726346240 6710272954000 6789841408000 6840537088000 6871319504896 7011550515200 7139033251840 7286659072000 7468825548800 7617870848000 7668883376000 7759818752000 7808317619200 7852936577024 8013200588800 8175276032000 8379657932800 8535800627200 8589149381120 8764438144000 8923791564800 9336031936000 9576751923200 9760397024000 9816170721280 9994646552576 10016500736000 10474572416000 10669750784000 10736436726400 10863746252800 11154739456000 11218480824320 11950120878080 11970939904000 12194000896000 12270213401600 12493308190720 12748273664000 12989261824000 13407452692480 13420545908000 13579682816000 13742639009792 14023101030400 14573318144000 14937651097600 15235741696000 15337766752000 15616635238400 15705873154048 16759315865600 17071601254400 17178298762240 17528876288000 17847583129600 18672063872000 19520794048000 19632341442560 20033001472000 20949144832000 21339501568000 21472873452800 22309478912000 23900241756160 23941879808000 24540426803200 24986616381440 25496547328000 25978523648000 26841091816000 27159365632000 27485278019584 28046202060800 29875302195200 30471483392000 30675533504000 31233270476800 33518631731200 34356597524480 35057752576000 35695166259200 37344127744000 39041588096000 39264682885120 40066002944000 41898289664000 42679003136000 42945746905600 44618957824000 47883759616000 49080853606400 49973232762880 53682183632000 54318731264000 54970556039168 56092404121600 59750604390400 61351067008000 62466540953600 67037263462400 68713195048960 70115505152000 74688255488000 78083176192000 78529365770240 83796579328000 85358006272000 85891493811200 89237915648000 98161707212800 107364367264000 109941112078336 119501208780800 122702134016000 124933081907200 137426390097920 140231010304000 149376510976000 156166352384000 167593158656000 171782987622400 178475831296000 196323414425600 214728734528000 245404268032000 249866163814400 274852780195840 280462020608000 298753021952000 312332704768000 335186317312000 343565975244800 392646828851200 429457469056000 490808536064000 549705560391680 597506043904000 624665409536000 687131950489600 858914938112000 981617072128000 1249330819072000 1374263900979200 1717829876224000 1963234144256000 2748527801958400 3435659752448000 6871319504896000 13742639009792000
- Sum of all divisors σ(n): 46757313281952000
- Sum of proper divisors (its aliquot sum) s(n): 33014674272160000
- 13742639009792000 is an abundant number, because the sum of its proper divisors (33014674272160000) is greater than itself. Its abundance is 19272035262368000
Bases of 13742639009792000
- Binary: 1100001101001011011011011111000111010010000000000000002
- Hexadecimal: 0x30D2DB7C748000
- Base-36: 3RBCX7E07I8
Squares and roots of 13742639009792000
- 13742639009792000 squared (137426390097920002) is 188860126953456842271883264000000
- 13742639009792000 cubed (137426390097920003) is 2595436548064845548550680946819976921088000000000
-
The
square root of 13742639009792000 is 117229002.4259867187 -
The
cube root of 13742639009792000 is 239528.2341982057
Scales and comparisons
How big is 13742639009792000?- 13,742,639,009,792,000 seconds is equal to 436,973,411 years, 38 weeks, 2 days, 14 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,742,639,009,792,000 would take you about one billion, three hundred ten million, nine hundred twenty thousand, two hundred thirty-five 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 13742639009792000 cubic inches would be around 19960.7 feet tall.
Recreational maths with 13742639009792000
- 13742639009792000 backwards is 00029790093624731
- The number of decimal digits it has is: 17
- The sum of 13742639009792000's digits is 62
- More coming soon!
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Numbermatics. (2024). Number 13742639009792000 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/13742639009792000/
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The information we have on file for 13742639009792000 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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