14138034812620800
14,138,034,812,620,800 is an even composite number composed of six prime numbers multiplied together.
14138034812620800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 14138034812620800:
212 × 3 × 52 × 31 × 2141 × 693409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 2141 × 693409)See below for interesting mathematical facts about the number 14138034812620800 from the Numbermatics database.
Names of 14138034812620800
- Cardinal: 14138034812620800 can be written as Fourteen quadrillion, one hundred thirty-eight trillion, thirty-four billion, eight hundred twelve million, six hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.41380348126208 × 1016
Factors of 14138034812620800
Divisors of 14138034812620800
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1024 1200 1240 1280 1488 1536 1550 1600 1860 1920 1984 2048 2141 2325 2400 2480 2560 2976 3072 3100 3200 3720 3840 3968 4096 4282 4650 4800 4960 5120 5952 6144 6200 6400 6423 7440 7680 7936 8564 9300 9600 9920 10240 10705 11904 12288 12400 12800 12846 14880 15360 15872 17128 18600 19200 19840 20480 21410 23808 24800 25600 25692 29760 30720 31744 32115 34256 37200 38400 39680 42820 47616 49600 51200 51384 53525 59520 61440 63488 64230 66371 68512 74400 76800 79360 85640 95232 99200 102400 102768 107050 119040 126976 128460 132742 137024 148800 153600 158720 160575 171280 190464 198400 199113 205536 214100 238080 256920 265484 274048 297600 307200 317440 321150 331855 342560 380928 396800 398226 411072 428200 476160 513840 530968 548096 595200 634880 642300 663710 685120 693409 793600 796452 822144 856400 952320 995565 1027680 1061936 1096192 1190400 1284600 1327420 1370240 1386818 1587200 1592904 1644288 1659275 1712800 1904640 1991130 2055360 2080227 2123872 2192384 2380800 2569200 2654840 2740480 2773636 3174400 3185808 3288576 3318550 3425600 3467045 3982260 4110720 4160454 4247744 4384768 4761600 4977825 5138400 5309680 5480960 5547272 6371616 6577152 6637100 6851200 6934090 7964520 8221440 8320908 8495488 8769536 9523200 9955650 10276800 10401135 10619360 10961920 11094544 12743232 13154304 13274200 13702400 13868180 15929040 16442880 16641816 16990976 17335225 19911300 20553600 20802270 21238720 21495679 21923840 22189088 25486464 26308608 26548400 27404800 27736360 31858080 32885760 33283632 33981952 34670450 39822600 41107200 41604540 42477440 42991358 43847680 44378176 50972928 52005675 53096800 54809600 55472720 63716160 64487037 65771520 66567264 67963904 69340900 79645200 82214400 83209080 84954880 85982716 88756352 101945856 104011350 106193600 107478395 109619200 110945440 127432320 128974074 131543040 133134528 135927808 138681800 159290400 164428800 166418160 169909760 171965432 177512704 203891712 208022700 212387200 214956790 219238400 221890880 254864640 257948148 266269056 271855616 277363600 318580800 322435185 328857600 332836320 339819520 343930864 355025408 407783424 416045400 424774400 429913580 443781760 509729280 515896296 532538112 537391975 554727200 637161600 644870370 657715200 665672640 679639040 687861728 710050816 815566848 832090800 849548800 859827160 887563520 1019458560 1031792592 1065076224 1074783950 1109454400 1274323200 1289740740 1331345280 1359278080 1375723456 1420101632 1484588669 1612175925 1664181600 1699097600 1719654320 1775127040 2038917120 2063585184 2130152448 2149567900 2218908800 2548646400 2579481480 2662690560 2751446912 2840203264 2969177338 3224351850 3328363200 3398195200 3439308640 3550254080 4077834240 4127170368 4260304896 4299135800 4437817600 4453766007 5097292800 5158962960 5325381120 5502893824 5938354676 6448703700 6656726400 6796390400 6878617280 7100508160 7422943345 8254340736 8520609792 8598271600 8875635200 8907532014 10194585600 10317925920 10650762240 11005787648 11876709352 12897407400 13313452800 13757234560 14201016320 14845886690 16508681472 17196543200 17751270400 17815064028 20389171200 20635851840 21301524480 22011575296 22268830035 23753418704 25794814800 26626905600 27514469120 29691773380 33017362944 34393086400 35502540800 35630128056 37114716725 41271703680 42603048960 44023150592 44537660070 46022248739 47506837408 51589629600 53253811200 55028938240 59383546760 66034725888 68786172800 71005081600 71260256112 74229433450 82543407360 88046301184 89075320140 92044497478 95013674816 103179259200 106507622400 110057876480 111344150175 118767093520 132069451776 137572345600 138066746217 142520512224 148458866900 165086814720 178150640280 184088994956 190027349632 206358518400 213015244800 220115752960 222688300350 230111243695 237534187040 264138903552 275144691200 276133492434 285041024448 296917733800 330173629440 356301280560 368177989912 380054699264 412717036800 440231505920 445376600700 460222487390 475068374080 550289382400 552266984868 570082048896 593835467600 660347258880 690333731085 712602561120 736355979824 760109398528 825434073600 890753201400 920444974780 950136748160 1100578764800 1104533969736 1140164097792 1150556218475 1187670935200 1320694517760 1380667462170 1425205122240 1472711959648 1520218797056 1650868147200 1781506402800 1840889949560 1900273496320 2201157529600 2209067939472 2280328195584 2301112436950 2375341870400 2761334924340 2850410244480 2945423919296 3040437594112 3301736294400 3451668655425 3563012805600 3681779899120 3800546992640 4418135878944 4560656391168 4602224873900 4750683740800 5522669848680 5700820488960 5890847838592 6080875188224 6603472588800 6903337310850 7126025611200 7363559798240 7601093985280 8836271757888 9121312782336 9204449747800 9501367481600 11045339697360 11401640977920 11781695677184 13806674621700 14252051222400 14727119596480 15202187970560 17672543515776 18242625564672 18408899495600 19002734963200 22090679394720 22803281955840 23563391354368 27613349243400 28504102444800 29454239192960 30404375941120 35345087031552 36817798991200 38005469926400 44181358789440 45606563911680 47126782708736 55226698486800 57008204889600 58908478385920 70690174063104 73635597982400 76010939852800 88362717578880 91213127823360 94253565417472 110453396973600 114016409779200 117816956771840 141380348126208 147271195964800 152021879705600 176725435157760 188507130834944 220906793947200 228032819558400 235633913543680 282760696252416 294542391929600 353450870315520 441813587894400 456065639116800 471267827087360 565521392504832 589084783859200 706901740631040 883627175788800 942535654174720 1178169567718400 1413803481262080 1767254351577600 2356339135436800 2827606962524160 3534508703155200 4712678270873600 7069017406310400 14138034812620800
- Sum of all divisors σ(n): 48274541366607360
- Sum of proper divisors (its aliquot sum) s(n): 34136506553986560
- 14138034812620800 is an abundant number, because the sum of its proper divisors (34136506553986560) is greater than itself. Its abundance is 19998471741365760
Bases of 14138034812620800
- Binary: 1100100011101001110111101111101101010000010000000000002
- Hexadecimal: 0x323A77BED41000
- Base-36: 3V7IJJ26Y2O
Squares and roots of 14138034812620800
- 14138034812620800 squared (141380348126208002) is 199884028362877659366964592640000
- 14138034812620800 cubed (141380348126208003) is 2825967351481247721434897744450730602790912000000
-
The
square root of 14138034812620800 is 118903468.4633749445 -
The
cube root of 14138034812620800 is 241803.7409580073
Scales and comparisons
How big is 14138034812620800?- 14,138,034,812,620,800 seconds is equal to 449,545,775 years, 11 weeks, 6 days, 2 hours, 40 minutes.
-
To count from 1 to 14,138,034,812,620,800 would take you about one billion, three hundred forty-eight million, six hundred thirty-seven thousand, three hundred twenty-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 14138034812620800 cubic inches would be around 20150.3 feet tall.
Recreational maths with 14138034812620800
- 14138034812620800 backwards is 00802621843083141
- The number of decimal digits it has is: 17
- The sum of 14138034812620800's digits is 51
- More coming soon!
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