138668361350400
138,668,361,350,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138668361350400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2916 divisors.
138668361350400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 138668361350400:
28 × 35 × 52 × 7 × 432 × 832
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 43 × 43 × 83 × 83)See below for interesting mathematical facts about the number 138668361350400 from the Numbermatics database.
Names of 138668361350400
- Cardinal: 138668361350400 can be written as One hundred thirty-eight trillion, six hundred sixty-eight billion, three hundred sixty-one million, three hundred fifty thousand, four hundred.
Scientific notation
- Scientific notation: 1.386683613504 × 1014
Factors of 138668361350400
Divisors of 138668361350400
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 43 45 48 50 54 56 60 63 64 70 72 75 80 81 83 84 86 90 96 100 105 108 112 120 126 128 129 135 140 144 150 160 162 166 168 172 175 180 189 192 200 210 215 216 224 225 240 243 249 252 256 258 270 280 288 300 301 315 320 324 332 336 344 350 360 378 384 387 400 405 415 420 430 432 448 450 480 486 498 504 516 525 540 560 567 576 581 600 602 630 640 645 648 664 672 675 688 700 720 747 756 768 774 800 810 830 840 860 864 896 900 903 945 960 972 996 1008 1032 1050 1075 1080 1120 1134 1152 1161 1162 1200 1204 1215 1245 1260 1280 1290 1296 1328 1344 1350 1376 1400 1440 1494 1505 1512 1548 1575 1600 1620 1660 1680 1701 1720 1728 1743 1792 1800 1806 1849 1890 1920 1935 1944 1992 2016 2025 2064 2075 2100 2150 2160 2240 2241 2268 2304 2322 2324 2400 2408 2430 2490 2520 2580 2592 2656 2688 2700 2709 2752 2800 2835 2880 2905 2988 3010 3024 3096 3150 3200 3225 3240 3320 3360 3402 3440 3456 3483 3486 3569 3600 3612 3698 3735 3780 3840 3870 3888 3984 4032 4050 4128 4150 4200 4300 4320 4480 4482 4515 4536 4644 4648 4725 4800 4816 4860 4980 5040 5160 5184 5229 5312 5376 5400 5418 5504 5547 5600 5670 5760 5805 5810 5976 6020 6048 6075 6192 6225 6300 6400 6450 6480 6640 6720 6723 6804 6880 6889 6912 6966 6972 7138 7200 7224 7396 7470 7525 7560 7740 7776 7968 8064 8100 8127 8256 8300 8400 8505 8600 8640 8715 8960 8964 9030 9072 9245 9288 9296 9450 9600 9632 9675 9720 9960 10080 10320 10368 10449 10458 10624 10707 10800 10836 11008 11094 11200 11205 11340 11520 11610 11620 11952 12040 12096 12150 12384 12450 12600 12900 12943 12960 13280 13440 13446 13545 13608 13760 13778 13932 13944 14175 14276 14400 14448 14525 14792 14940 15050 15120 15480 15552 15687 15936 16128 16200 16254 16512 16600 16641 16800 17010 17200 17280 17415 17430 17845 17928 18060 18144 18490 18576 18592 18675 18900 19200 19264 19350 19440 19920 20160 20169 20640 20667 20736 20898 20916 21248 21414 21600 21672 22188 22400 22410 22575 22680 23220 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15476379615 15911458560 16049578860 16124228064 16304334080 16508138256 16707031488 16796070900 17062675200 17119550784 17195977350 17403157800 17832865400 17915808960 18342375840 18427689216 18563368320 18749102400 19195509600 19259494632 19426780800 19889323200 19906454400 20061973575 20128953600 20155285080 20380417600 20625964800 20635172820 20883789360 21399438480 21498970752 21666931461 22010851008 22276041984 22394761200 22826067712 22927969800 23034611520 23204210400 23867187840 23887745280 24074368290 24456501120 24762207384 24998803200 25194106350 25594012800 25679326176 25793966025 26104736700 26519097600 26749298100 26873713440 27513563760 27845052480 28532584640 28793264400 28889241948 29347801344 29833984800 29859681600 30570626400 30712815360 30938947200 30952759230 32099157720 32248456128 33016276512 33414062976 33592141800 34239101568 34391954700 34806315600 35665730800 35831617920 36111552435 36684751680 37126736640 37498204800 38391019200 38518989264 38853561600 39778646400 39812908800 40123947150 40310570160 40760835200 41270345640 41767578720 42798876960 42997941504 43333862922 44021702016 44789522400 45855939600 46069223040 46408420800 47734375680 48148736580 48913002240 49524414768 50388212700 51188025600 51358652352 51587932050 52209473400 53498596200 53747426880 55027127520 55690104960 57065169280 57586528800 57778483896 59667969600 59719363200 60185920725 61141252800 61877894400 61905518460 64198315440 64496912256 66032553024 66828125952 67184283600 68478203136 68783909400 69612631200 71331461600 71663235840 72223104870 73369503360 74996409600 76782038400 77037978528 77381898075 79557292800 80247894300 80621140320 81521670400 82540691280 83535157440 85597753920 86667725844 88043404032 89579044800 91711879200 92138446080 92816841600 96297473160 99048829536 100776425400 102717304704 103175864100 104418946800 106997192400 107494853760 108334657305 110054255040 111380209920 114130338560 115173057600 115556967792 119335939200 119438726400 120371841450 122282505600 123811036920 128396630880 128993824512 132065106048 134368567200 137567818800 139225262400 142662923200 144446209740 146739006720 153564076800 154075957056 154763796150 160495788600 161242280640 165081382560 167070314880 171195507840 173335451688 179158089600 180557762175 183423758400 185633683200 192594946320 198097659072 201552850800 205434609408 206351728200 208837893600 213994384800 214989707520 216669314610 220108510080 230346115200 231113935584 238671878400 240743682900 244565011200 247622073840 256793261760 264130212096 268737134400 275135637600 278450524800 285325846400 288892419480 308151914112 309527592300 320991577200 322484561280 330162765120 334140629760 342391015680 346670903376 358316179200 361115524350 366847516800 385189892640 396195318144 403105701600 412703456400 417675787200 427988769600 433338629220 440217020160 460692230400 462227871168 481487365800 495244147680 513586523520 537474268800 541673286525 550271275200 556901049600 570651692800 577784838960 616303828224 619055184600 641983154400 644969122560 660325530240 693341806752 722231048700 733695033600 770379785280 792390636288 806211403200 825406912800 835351574400 855977539200 866677258440 924455742336 962974731600 990488295360 1027173047040 1074948537600 1083346573050 1100542550400 1155569677920 1238110369200 1283966308800 1320651060480 1386683613504 1444462097400 1540759570560 1612422806400 1650813825600 1670703148800 1711955078400 1733354516880 1848911484672 1925949463200 1980976590720 2166693146100 2201085100800 2311139355840 2476220738400 2567932617600 2773367227008 2888924194800 3081519141120 3224845612800 3301627651200 3466709033760 3851898926400 3961953181440 4333386292200 4622278711680 4952441476800 5135865235200 5546734454016 5777848389600 6603255302400 6933418067520 7703797852800 8666772584400 9244557423360 9904882953600 11555696779200 13866836135040 15407595705600 17333545168800 19809765907200 23111393558400 27733672270080 34667090337600 46222787116800 69334180675200 138668361350400
- Sum of all divisors σ(n): 608897574081888
- Sum of proper divisors (its aliquot sum) s(n): 470229212731488
- 138668361350400 is an abundant number, because the sum of its proper divisors (470229212731488) is greater than itself. Its abundance is 331560851381088
Bases of 138668361350400
- Binary: 111111000011110001111100110101101111101000000002
- Hexadecimal: 0x7E1E3E6B7D00
- Base-36: 1D5JD61C00
Squares and roots of 138668361350400
- 138668361350400 squared (1386683613504002) is 19228914439605108511580160000
- 138668361350400 cubed (1386683613504003) is 2666442055887085504165600329775448064000000
-
The
square root of 138668361350400 is 11775753.1118141229 -
The
cube root of 138668361350400 is 51759.7846995449
Scales and comparisons
How big is 138668361350400?- 138,668,361,350,400 seconds is equal to 4,409,224 years, 50 weeks.
-
To count from 1 to 138,668,361,350,400 would take you about eleven million, twenty-three thousand and sixty-two 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 138668361350400 cubic inches would be around 4313.3 feet tall.
Recreational maths with 138668361350400
- 138668361350400 backwards is 004053163866831
- 138668361350400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138668361350400's digits is 54
- More coming soon!
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"Number 138668361350400 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 138668361350400 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/138668361350400/
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The information we have on file for 138668361350400 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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