138689801420800
138,689,801,420,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 138689801420800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 816 divisors.
138689801420800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixteen divisors.
Prime factorization of 138689801420800:
216 × 52 × 7 × 71 × 181 × 941
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 71 × 181 × 941)See below for interesting mathematical facts about the number 138689801420800 from the Numbermatics database.
Names of 138689801420800
- Cardinal: 138689801420800 can be written as One hundred thirty-eight trillion, six hundred eighty-nine billion, eight hundred one million, four hundred twenty thousand, eight hundred.
Scientific notation
- Scientific notation: 1.386898014208 × 1014
Factors of 138689801420800
Divisors of 138689801420800
- Number of divisors d(n): 816
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 71 80 100 112 128 140 142 160 175 181 200 224 256 280 284 320 350 355 362 400 448 497 512 560 568 640 700 710 724 800 896 905 941 994 1024 1120 1136 1267 1280 1400 1420 1448 1600 1775 1792 1810 1882 1988 2048 2240 2272 2485 2534 2560 2800 2840 2896 3200 3550 3584 3620 3764 3976 4096 4480 4525 4544 4705 4970 5068 5120 5600 5680 5792 6335 6400 6587 7100 7168 7240 7528 7952 8192 8960 9050 9088 9410 9940 10136 10240 11200 11360 11584 12425 12670 12800 12851 13174 14200 14336 14480 15056 15904 16384 17920 18100 18176 18820 19880 20272 20480 22400 22720 23168 23525 24850 25340 25600 25702 26348 28400 28672 28960 30112 31675 31808 32768 32935 35840 36200 36352 37640 39760 40544 40960 44800 45440 46336 47050 49700 50680 51200 51404 52696 56800 57344 57920 60224 63350 63616 64255 65536 65870 66811 71680 72400 72704 75280 79520 81088 81920 89600 89957 90880 92672 94100 99400 101360 102400 102808 105392 113600 114688 115840 120448 126700 127232 128510 131740 133622 143360 144800 145408 150560 159040 162176 163840 164675 170321 179200 179914 181760 185344 188200 198800 202720 204800 205616 210784 227200 229376 231680 240896 253400 254464 257020 263480 267244 286720 289600 290816 301120 318080 321275 324352 327680 329350 334055 340642 358400 359828 363520 370688 376400 397600 405440 409600 411232 421568 449785 454400 458752 463360 467677 481792 506800 508928 514040 526960 534488 573440 579200 581632 602240 636160 642550 648704 658700 668110 681284 716800 719656 727040 741376 752800 795200 810880 819200 822464 843136 851605 899570 908800 926720 935354 963584 1013600 1017856 1028080 1053920 1068976 1146880 1158400 1163264 1192247 1204480 1272320 1285100 1297408 1317400 1336220 1362568 1433600 1439312 1454080 1482752 1505600 1590400 1621760 1638400 1644928 1670275 1686272 1703210 1799140 1817600 1853440 1870708 1927168 2027200 2035712 2056160 2107840 2137952 2248925 2293760 2316800 2326528 2338385 2384494 2408960 2544640 2570200 2594816 2634800 2672440 2725136 2867200 2878624 2908160 2965504 3011200 3180800 3243520 3289856 3340550 3372544 3406420 3598280 3635200 3706880 3741416 3854336 4054400 4071424 4112320 4215680 4258025 4275904 4497850 4633600 4653056 4676770 4768988 4817920 5089280 5140400 5189632 5269600 5344880 5450272 5734400 5757248 5816320 5931008 5961235 6022400 6361600 6487040 6579712 6681100 6745088 6812840 7196560 7270400 7413760 7482832 7708672 8108800 8142848 8224640 8431360 8516050 8551808 8995700 9267200 9353540 9537976 9635840 10178560 10280800 10379264 10539200 10689760 10900544 11468800 11514496 11632640 11691925 11862016 11922470 12044800 12092791 12723200 12974080 13159424 13362200 13490176 13625680 14393120 14540800 14827520 14965664 15417344 16217600 16285696 16449280 16862720 17032100 17103616 17991400 18534400 18707080 19075952 19271680 20357120 20561600 20758528 21078400 21379520 21801088 23028992 23265280 23383850 23844940 24089600 24185582 25446400 25948160 26318848 26724400 26980352 27251360 28786240 29081600 29655040 29806175 29931328 30834688 32435200 32571392 32898560 33725440 34064200 34207232 35982800 37068800 37414160 38151904 38543360 40714240 41123200 41517056 42156800 42759040 43602176 46057984 46767700 47689880 48179200 48371164 50892800 51896320 52637696 53448800 53960704 54502720 57572480 58163200 59310080 59612350 59862656 60463955 61669376 64870400 65797120 67450880 68128400 68414464 71965600 74137600 74828320 76303808 77086720 81428480 82246400 83034112 84313600 84649537 85518080 87204352 92115968 93535400 95379760 96358400 96742328 101785600 103792640 105275392 106897600 107921408 109005440 115144960 116326400 119224700 119725312 120927910 129740800 131594240 134901760 136256800 136828928 143931200 148275200 149656640 152607616 154173440 162856960 164492800 168627200 169299074 171036160 174408704 184231936 187070800 190759520 192716800 193484656 203571200 207585280 210550784 213795200 215842816 218010880 230289920 238449400 239450624 241855820 259481600 263188480 269803520 272513600 273657856 287862400 296550400 299313280 302319775 305215232 308346880 328985600 337254400 338598148 342072320 348817408 368463872 374141600 381519040 385433600 386969312 407142400 415170560 421101568 423247685 427590400 431685632 436021760 460579840 476898800 478901248 483711640 518963200 526376960 539607040 545027200 547315712 575724800 598626560 604639550 610430464 657971200 674508800 677196296 684144640 697634816 736927744 748283200 763038080 770867200 773938624 814284800 842203136 846495370 855180800 872043520 921159680 953797600 957802496 967423280 1037926400 1052753920 1079214080 1090054400 1094631424 1151449600 1197253120 1209279100 1220860928 1315942400 1349017600 1354392592 1368289280 1395269632 1473855488 1496566400 1526076160 1541734400 1547877248 1692990740 1710361600 1744087040 1842319360 1907595200 1915604992 1934846560 2075852800 2105507840 2116238425 2158428160 2180108800 2189262848 2302899200 2394506240 2418558200 2441721856 2631884800 2698035200 2708785184 2736578560 2790539264 2947710976 2993132800 3052152320 3095754496 3385981480 3420723200 3488174080 3684638720 3815190400 3831209984 3869693120 4211015680 4232476850 4360217600 4378525696 4605798400 4789012480 4837116400 4883443712 5263769600 5396070400 5417570368 5473157120 5581078528 5895421952 5986265600 6104304640 6191508992 6771962960 6841446400 6976348160 7369277440 7630380800 7662419968 7739386240 8464953700 8720435200 9211596800 9578024960 9674232800 9766887424 10527539200 10792140800 10835140736 10946314240 11162157056 11972531200 12208609280 12383017984 13543925920 13682892800 13952696320 14738554880 15260761600 15324839936 15478772480 16929907400 17440870400 18423193600 19156049920 19348465600 19533774848 21055078400 21670281472 21892628480 23945062400 24417218560 24766035968 27087851840 27365785600 27905392640 29477109760 30521523200 30649679872 30957544960 33859814800 34881740800 36846387200 38312099840 38696931200 39067549696 43340562944 47890124800 48834437120 49532071936 54175703680 54731571200 55810785280 61043046400 61915089920 67719629600 69763481600 73692774400 76624199680 77393862400 78135099392 86681125888 95780249600 97668874240 99064143872 108351407360 109463142400 122086092800 123830179840 135439259200 139526963200 147385548800 153248399360 154787724800 173362251776 191560499200 195337748480 198128287744 216702814720 244172185600 247660359680 270878518400 279053926400 309575449600 346724503552 383120998400 390675496960 396256575488 433405629440 488344371200 495320719360 541757036800 619150899200 693449007104 766241996800 792513150976 866811258880 976688742400 990641438720 1083514073600 1238301798400 1386898014208 1733622517760 1953377484800 1981282877440 2167028147200 2476603596800 2773796028416 3467245035520 3962565754880 4334056294400 4953207193600 5547592056832 6934490071040 8668112588800 9906414387200 13868980142080 17336225177600 19812828774400 27737960284160 34672450355200 69344900710400 138689801420800
- Sum of all divisors σ(n): 401248184972544
- Sum of proper divisors (its aliquot sum) s(n): 262558383551744
- 138689801420800 is an abundant number, because the sum of its proper divisors (262558383551744) is greater than itself. Its abundance is 123868582130944
Bases of 138689801420800
- Binary: 111111000100011001111000101100100000000000000002
- Hexadecimal: 0x7E233C590000
- Base-36: 1D5T7QWG74
Squares and roots of 138689801420800
- 138689801420800 squared (1386898014208002) is 19234861018140937698672640000
- 138689801420800 cubed (1386898014208003) is 2667679054962653555816012989346086912000000
-
The
square root of 138689801420800 is 11776663.4247905719 -
The
cube root of 138689801420800 is 51762.4521579051
Scales and comparisons
How big is 138689801420800?- 138,689,801,420,800 seconds is equal to 4,409,906 years, 35 weeks, 5 days, 23 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,689,801,420,800 would take you about eleven million, twenty-four thousand, seven hundred sixty-six 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 138689801420800 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138689801420800
- 138689801420800 backwards is 008024108986831
- The number of decimal digits it has is: 15
- The sum of 138689801420800's digits is 58
- More coming soon!
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The information we have on file for 138689801420800 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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