14314131428688000
14,314,131,428,688,000 is an even composite number composed of eight prime numbers multiplied together.
14314131428688000 is an even composite number. It is composed of eight distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 14314131428688000:
27 × 32 × 53 × 7 × 13 × 19 × 79 × 727747
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 19 × 79 × 727747)See below for interesting mathematical facts about the number 14314131428688000 from the Numbermatics database.
Names of 14314131428688000
- Cardinal: 14314131428688000 can be written as Fourteen quadrillion, three hundred fourteen trillion, one hundred thirty-one billion, four hundred twenty-eight million, six hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.4314131428688 × 1016
Factors of 14314131428688000
Divisors of 14314131428688000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 19 20 21 24 25 26 28 30 32 35 36 38 39 40 42 45 48 50 52 56 57 60 63 64 65 70 72 75 76 78 79 80 84 90 91 95 96 100 104 105 112 114 117 120 125 126 128 130 133 140 144 150 152 156 158 160 168 171 175 180 182 190 192 195 200 208 210 224 225 228 234 237 240 247 250 252 260 266 273 280 285 288 300 304 312 315 316 320 325 336 342 350 360 364 375 380 384 390 395 399 400 416 420 448 450 455 456 468 474 475 480 494 500 504 520 525 532 546 553 560 570 576 585 600 608 624 630 632 640 650 665 672 684 700 711 720 728 741 750 760 780 790 798 800 819 832 840 855 875 896 900 910 912 936 948 950 960 975 988 1000 1008 1027 1040 1050 1064 1092 1106 1120 1125 1140 1152 1170 1185 1197 1200 1216 1235 1248 1260 1264 1300 1330 1344 1365 1368 1400 1422 1425 1440 1456 1482 1500 1501 1520 1560 1575 1580 1596 1600 1625 1638 1659 1664 1680 1710 1729 1750 1800 1820 1824 1872 1896 1900 1920 1950 1975 1976 1995 2000 2016 2054 2080 2100 2128 2184 2212 2223 2240 2250 2275 2280 2340 2370 2375 2394 2400 2432 2470 2496 2520 2528 2600 2625 2660 2688 2730 2736 2765 2800 2844 2850 2880 2912 2925 2964 3000 3002 3040 3081 3120 3150 3160 3192 3200 3250 3276 3318 3325 3360 3420 3458 3500 3555 3600 3640 3648 3705 3744 3792 3800 3900 3950 3952 3990 4000 4032 4095 4108 4160 4200 4256 4275 4368 4424 4446 4480 4500 4503 4550 4560 4680 4740 4750 4788 4800 4875 4940 4977 4992 5040 5056 5135 5187 5200 5250 5320 5460 5472 5530 5600 5688 5700 5760 5824 5850 5925 5928 5985 6000 6004 6080 6162 6175 6240 6300 6320 6384 6500 6552 6636 6650 6720 6825 6840 6916 7000 7110 7125 7189 7200 7280 7296 7410 7488 7505 7584 7600 7800 7875 7900 7904 7980 8000 8064 8190 8216 8295 8320 8400 8512 8550 8645 8736 8848 8892 9000 9006 9100 9120 9243 9360 9480 9500 9576 9600 9750 9875 9880 9954 9975 10080 10112 10270 10374 10400 10500 10507 10640 10920 10944 11060 11115 11200 11375 11376 11400 11648 11700 11850 11856 11970 12000 12008 12160 12324 12350 12480 12600 12640 12768 13000 13104 13272 13300 13440 13509 13650 13680 13825 13832 14000 14220 14250 14378 14400 14560 14625 14820 14976 15010 15168 15200 15405 15561 15600 15750 15800 15808 15960 16000 16380 16432 16590 16625 16800 17024 17100 17290 17472 17696 17775 17784 18000 18012 18200 18240 18486 18525 18720 18960 19000 19152 19500 19513 19750 19760 19908 19950 20160 20475 20540 20748 20800 21000 21014 21280 21375 21567 21840 21888 22120 22230 22400 22515 22750 22752 22800 23400 23700 23712 23940 24000 24016 24648 24700 24885 24960 25200 25280 25536 25675 25935 26000 26208 26544 26600 27018 27300 27360 27650 27664 28000 28440 28500 28756 28800 29120 29250 29625 29640 29925 30020 30336 30400 30810 30875 31122 31200 31500 31521 31600 31616 31920 32760 32864 33180 33250 33600 34125 34200 34580 34944 35392 35550 35568 35945 36000 36024 36400 36480 36972 37050 37440 37525 37920 38000 38304 39000 39026 39500 39520 39816 39900 40320 40950 41080 41475 41496 41600 42000 42028 42560 42750 43134 43225 43680 44240 44460 45030 45500 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3587501611200 3621996819000 3623830741440 3670290109920 3766876691760 3774823689000 3823218864500 3863463273600 3923829887250 3932453689200 3976147619080 4026478601600 4089751836768 4139424936000 4185418546400 4260158163300 4305001933440 4314084216000 4369392988000 4404348131904 4473166071465 4484377014000 4529788426800 4544168707520 4587862637400 4645936848000 4708595864700 4768198344000 4771377142896 4829329092000 4893720146560 4915567111500 4970184523850 5022502255680 5033098252000 5112189795960 5176901059200 5231773183000 5243271585600 5325197704125 5381252416800 5453002449024 5505435164880 5662235533500 5680210884400 5734828296750 5795194910400 5885744830875 5964221428620 5979169352000 6027002706816 6039717902400 6117150183200 6278127819600 6291925902720 6361836190528 6390237244950 6439105456000 6471126324000 6554089482000 6726565521000 6816253061280 6881793956100 6968905272000 7100263605500 7157065714344 7175003222400 7243993638000 7247661482880 7340580219840 7455276785775 7533753383520 7549647378000 7646437729000 7847659774500 7864907378400 7952295238160 8179503673536 8278849872000 8370837092800 8520316326600 8602242445125 8628168432000 8738785976000 8808696263808 8946332142930 8968754028000 9059576853600 9088337415040 9175725274800 9417191729400 9536396688000 9542754285792 9658658184000 9831134223000 9940369047700 10045004511360 10066196504000 10224379591920 10463546366000 10486543171200 10650395408250 10762504833600 11010870329760 11324471067000 11360421768800 11469656593500 11590389820800 11771489661750 11928442857240 11958338704000 12079435804800 12234300366400 12425461309625 12556255639200 12723672381056 12780474489900 12942252648000 13108178964000 13453131042000 13632506122560 13763587912200 13937810544000 14200527211000 14314131428688 14487987276000 14681160439680 14910553571550 15067506767040 15099294756000 15292875458000 15695319549000 15729814756800 15904590476320 15975593112375 16359007347072 16741674185600 17040632653200 17204484890250 17477571952000 17892664285860 17937508056000 18119153707200 18351450549600 18834383458800 19085508571584 19317316368000 19662268446000 19880738095400 20132393008000 20448759183840 20927092732000 21300790816500 21525009667200 22021740659520 22365830357325 22648942134000 22720843537600 22939313187000 23542979323500 23856885714480 24468600732800 24850922619250 25112511278400 25560948979800 25884505296000 26216357928000 26906262084000 27265012245120 27527175824400 28401054422000 28628262857376 28975974552000 29821107143100 30135013534080 30198589512000 30585750916000 31390639098000 31459629513600 31809180952640 31951186224750 34081265306400 34408969780500 35785328571720 35875016112000 36238307414400 36702901099200 37276383928875 37668766917600 38171017143168 39324536892000 39761476190800 40897518367680 41854185464000 42601581633000 44043481319040 44731660714650 45297884268000 45441687075200 45878626374000 47085958647000 47713771428960 49701845238500 50225022556800 51121897959600 52432715856000 53812524168000 55054351648800 56802108844000 57256525714752 57951949104000 59642214286200 60397179024000 61171501832000 62781278196000 63618361905280 63902372449500 68162530612800 68817939561000 71570657143440 73405802198400 74552767857750 75337533835200 78649073784000 79522952381600 81795036735360 83708370928000 85203163266000 89463321429300 90595768536000 91757252748000 94171917294000 95427542857920 99403690477000 102243795919200 107625048336000 110108703297600 111829151786625 113604217688000 114513051429504 119284428572400 122343003664000 125562556392000 127804744899000 136325061225600 137635879122000 143141314286880 149105535715500 150675067670400 157298147568000 159045904763200 170406326532000 178926642858600 181191537072000 183514505496000 188343834588000 190855085715840 198807380954000 204487591838400 220217406595200 223658303573250 227208435376000 238568857144800 251125112784000 255609489798000 275271758244000 286282628573760 298211071431000 318091809526400 340812653064000 357853285717200 367029010992000 376687669176000 397614761908000 408975183676800 447316607146500 477137714289600 511218979596000 550543516488000 572565257147520 596422142862000 681625306128000 715706571434400 753375338352000 795229523816000 894633214293000 954275428579200 1022437959192000 1101087032976000 1192844285724000 1431413142868800 1590459047632000 1789266428586000 2044875918384000 2385688571448000 2862826285737600 3578532857172000 4771377142896000 7157065714344000 14314131428688000
- Sum of all divisors σ(n): 67441490049024000
- Sum of proper divisors (its aliquot sum) s(n): 53127358620336000
- 14314131428688000 is an abundant number, because the sum of its proper divisors (53127358620336000) is greater than itself. Its abundance is 38813227191648000
Bases of 14314131428688000
- Binary: 1100101101101010100000011011110001001101000000100000002
- Hexadecimal: 0x32DAA06F134080
- Base-36: 3WXXP74PWG0
Squares and roots of 14314131428688000
- 14314131428688000 squared (143141314286880002) is 204894358557753564029401344000000
- 14314131428688000 cubed (143141314286880003) is 2932884777392408362639998546228067356672000000000
-
The
square root of 14314131428688000 is 119641679.3123867851 -
The
cube root of 14314131428688000 is 242803.5320786185
Scales and comparisons
How big is 14314131428688000?- 14,314,131,428,688,000 seconds is equal to 455,145,102 years, 47 weeks, 4 days, 16 hours.
-
To count from 1 to 14,314,131,428,688,000 would take you about one billion, three hundred sixty-five million, four hundred thirty-five thousand, three hundred 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 14314131428688000 cubic inches would be around 20233.6 feet tall.
Recreational maths with 14314131428688000
- 14314131428688000 backwards is 00088682413141341
- The number of decimal digits it has is: 17
- The sum of 14314131428688000's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 14314131428688000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
APA style:
Numbermatics. (2024). Number 14314131428688000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/14314131428688000/
Chicago style:
Numbermatics. 2024. "Number 14314131428688000 - Facts about the integer". https://numbermatics.com/n/14314131428688000/
The information we have on file for 14314131428688000 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!
Keywords: Divisors of 14314131428688000, math, Factors of 14314131428688000, curriculum, school, college, exams, university, Prime factorization of 14314131428688000, STEM, science, technology, engineering, physics, economics, calculator, fourteen quadrillion, three hundred fourteen trillion, one hundred thirty-one billion, four hundred twenty-eight million, six hundred eighty-eight thousand.