14045746114400
14,045,746,114,400 is an even composite number composed of seven prime numbers multiplied together.
14045746114400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 14045746114400:
25 × 52 × 7 × 112 × 13 × 83 × 19211
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 11 × 11 × 13 × 83 × 19211)See below for interesting mathematical facts about the number 14045746114400 from the Numbermatics database.
Names of 14045746114400
- Cardinal: 14045746114400 can be written as Fourteen trillion, forty-five billion, seven hundred forty-six million, one hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 1.40457461144 × 1013
Factors of 14045746114400
Divisors of 14045746114400
- Number of divisors d(n): 864
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Complete list of divisors:
1 2 4 5 7 8 10 11 13 14 16 20 22 25 26 28 32 35 40 44 50 52 55 56 65 70 77 80 83 88 91 100 104 110 112 121 130 140 143 154 160 166 175 176 182 200 208 220 224 242 260 275 280 286 308 325 332 350 352 364 385 400 415 416 440 455 484 520 550 560 572 581 605 616 650 664 700 715 728 770 800 830 847 880 910 913 968 1001 1040 1079 1100 1120 1144 1162 1210 1232 1300 1328 1400 1430 1456 1540 1573 1660 1694 1760 1820 1826 1925 1936 2002 2075 2080 2158 2200 2275 2288 2324 2420 2464 2600 2656 2800 2860 2905 2912 3025 3080 3146 3320 3388 3575 3640 3652 3850 3872 4004 4150 4235 4316 4400 4550 4565 4576 4648 4840 5005 5200 5395 5600 5720 5810 6050 6160 6292 6391 6640 6776 7150 7280 7304 7553 7700 7865 8008 8300 8470 8632 8800 9100 9130 9296 9680 10010 10043 10400 10790 11011 11440 11620 11869 12100 12320 12584 12782 13280 13552 14300 14525 14560 14608 15106 15400 15730 16016 16600 16940 17264 18200 18260 18592 19211 19360 20020 20086 21175 21580 22022 22825 22880 23240 23738 24200 25025 25168 25564 26975 27104 28600 29050 29216 30212 30800 31460 31955 32032 33200 33880 34528 36400 36520 37765 38422 39325 40040 40172 42350 43160 44044 45650 46480 47476 48400 50050 50215 50336 51128 53950 55055 57200 58100 59345 60424 61600 62920 63910 66400 67760 70301 72800 73040 75530 76844 78650 80080 80344 83083 84700 86320 88088 91300 92960 94952 96055 96800 100100 100430 102256 107900 110110 114400 116200 118690 120848 125840 127820 130559 134477 135520 140602 146080 151060 153688 157300 159775 160160 160688 166166 169400 172640 176176 182600 188825 189904 192110 200200 200860 204512 211321 215800 220220 232400 237380 241696 249743 251075 251680 255640 261118 268954 275275 281204 296725 302120 307376 314600 319550 321376 332332 338800 351505 352352 365200 377650 379808 384220 400400 401720 415415 422642 431600 440440 464800 474760 480275 499486 502150 511280 522236 537908 550550 562408 593450 604240 614752 629200 639100 652795 664664 672385 677600 703010 730400 755300 768440 800800 803440 830830 845284 863200 880880 913913 949520 960550 998972 1004300 1022560 1044472 1056605 1075816 1101100 1124816 1186900 1208480 1248715 1258400 1278200 1305590 1329328 1344770 1406020 1479247 1510600 1536880 1594513 1606880 1661660 1690568 1748201 1757525 1761760 1827826 1899040 1921100 1997944 2008600 2077075 2088944 2113210 2151632 2202200 2249632 2324531 2373800 2497430 2556400 2611180 2658656 2689540 2747173 2812040 2958494 3021200 3073760 3189026 3263975 3323320 3361925 3381136 3496402 3515050 3655652 3842200 3995888 4017200 4154150 4177888 4226420 4303264 4404400 4569565 4649062 4747600 4994860 5112800 5222360 5283025 5379080 5494346 5624080 5916988 6042400 6243575 6378052 6527950 6646640 6723850 6762272 6992804 7030100 7311304 7396235 7684400 7972565 7991776 8034400 8308300 8452840 8741005 8808800 9139130 9298124 9495200 9989720 10444720 10566050 10758160 10988692 11161591 11248160 11622655 11833976 12487150 12756104 13055900 13293280 13447700 13735865 13985608 14060200 14622608 14792470 15368800 15945130 16271717 16616600 16905680 17482010 17539643 18278260 18596248 19230211 19979440 20728669 20889440 21132100 21516320 21977384 22323182 22847825 23245310 23667952 24974300 25512208 26111800 26895400 27471730 27971216 28120400 29245216 29584940 30218903 31890260 32543434 33233200 33811360 34964020 35079286 36556520 36981175 37192496 38460422 39862825 39958880 41457338 42264200 43705025 43954768 44646364 45695650 46490620 47335904 49948600 51024416 52223600 53790800 54943460 55807955 55942432 56240800 58113275 59169880 60437806 63780520 65086868 66466400 68679325 69928040 70158572 73113040 73962350 74384992 76920844 79725650 81358585 82914676 84528400 87410050 87698215 87909536 89292728 91391300 92981240 96151055 99897200 103643345 104447200 107581600 109886920 111615910 116226550 118339760 120875612 122777501 127561040 130173736 137358650 139856080 140317144 145100683 146226080 147924700 151094515 153841688 159451300 162717170 165829352 169056800 174820100 175396430 178585456 182782600 185962480 192302110 192936073 199794400 207286690 211532321 219773840 223231820 228015359 232453100 236679520 241751224 245555002 255122080 260347472 274717300 279039775 279712160 280634288 290201366 295849400 302189030 307683376 318902600 325434340 331658704 349640200 350792860 357170912 365565200 371924960 384604220 385872146 406792925 414573380 423064642 438491075 439547680 446463640 456030718 464906200 480755275 483502448 491110004 518216725 520694944 549434600 558079550 561268576 580402732 591698800 604378060 613887505 615366752 637805200 650868680 663317408 699280400 701585720 725503415 731130400 755472575 769208440 771744292 813585850 829146760 846129284 876982150 892927280 912061436 929812400 961510550 964680365 967004896 982220008 1036433450 1057661605 1098869200 1116159100 1140076795 1160805464 1183397600 1208756120 1227775010 1275610400 1301737360 1350552511 1398560800 1403171440 1451006830 1510945150 1538416880 1543488584 1596107513 1627171700 1658293520 1692258568 1753964300 1785854560 1824122872 1859624800 1923021100 1929360730 1964440016 2072866900 2115323210 2197738400 2232318200 2280153590 2321610928 2417512240 2455550020 2508168949 2603474720 2701105022 2806342880 2902013660 3021890300 3069437525 3076833760 3086977168 3192215026 3254343400 3316587040 3384517136 3507928600 3627517075 3648245744 3846042200 3858721460 3928880032 4145733800 4230646420 4464636400 4560307180 4643221856 4823401825 4835024480 4911100040 5016337898 5288308025 5402210044 5700383975 5804027320 6043780600 6138875050 6173954336 6384430052 6508686800 6752762555 6769034272 7015857200 7255034150 7296491488 7692084400 7717442920 7980537565 8291467600 8461292840 8929272800 9120614360 9646803650 9822200080 10032675796 10576616050 10804420088 11400767950 11608054640 12087561200 12277750100 12540844745 12768860104 13017373600 13505525110 14031714400 14510068300 15384168800 15434885840 15961075130 16582935200 16922585680 17557182643 18241228720 19293607300 19644400160 20065351592 21153232100 21608840176 22801535900 23216109280 24175122400 24555500200 25081689490 25537720208 27011050220 29020136600 30869771680 31922150260 33763812775 33845171360 35114365286 36482457440 38587214600 39902687825 40130703184 42306464200 43217680352 45603071800 49111000400 50163378980 51075440416 54022100440 58040273200 62704223725 63844300520 67527625550 70228730572 77174429200 79805375650 80261406368 84612928400 87785913215 91206143600 98222000800 100326757960 108044200880 116080546400 125408447450 127688601040 135055251100 140457461144 154348858400 159610751300 169225856800 175571826430 182412287200 200653515920 216088401760 250816894900 255377202080 270110502200 280914922288 319221502600 351143652860 401307031840 438929566075 501633789800 540221004400 561829844576 638443005200 702287305720 877859132150 1003267579600 1080442008800 1276886010400 1404574611440 1755718264300 2006535159200 2809149222880 3511436528600 7022873057200 14045746114400
- Sum of all divisors σ(n): 46948721589504
- Sum of proper divisors (its aliquot sum) s(n): 32902975475104
- 14045746114400 is an abundant number, because the sum of its proper divisors (32902975475104) is greater than itself. Its abundance is 18857229360704
Bases of 14045746114400
- Binary: 110011000110010001111011010100101111011000002
- Hexadecimal: 0xCC647B52F60
- Base-36: 4Z8IYL3KW
Squares and roots of 14045746114400
- 14045746114400 squared (140457461144002) is 197282983910182697887360000
- 14045746114400 cubed (140457461144003) is 2770986704693686347445495808873984000000
-
The
square root of 14045746114400 is 3747765.4828444109 -
The
cube root of 14045746114400 is 24127.6452066701
Scales and comparisons
How big is 14045746114400?- 14,045,746,114,400 seconds is equal to 446,611 years, 14 weeks, 3 days, 22 hours, 53 minutes, 20 seconds.
-
To count from 1 to 14,045,746,114,400 would take you about one million, one hundred sixteen thousand, five hundred twenty-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 14045746114400 cubic inches would be around 2010.6 feet tall.
Recreational maths with 14045746114400
- 14045746114400 backwards is 00441164754041
- The number of decimal digits it has is: 14
- The sum of 14045746114400's digits is 41
- More coming soon!
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The information we have on file for 14045746114400 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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