138392251430400
138,392,251,430,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 138392251430400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 720 divisors.
138392251430400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138392251430400:
29 × 32 × 52 × 11 × 137 × 797161
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 137 × 797161)See below for interesting mathematical facts about the number 138392251430400 from the Numbermatics database.
Names of 138392251430400
- Cardinal: 138392251430400 can be written as One hundred thirty-eight trillion, three hundred ninety-two billion, two hundred fifty-one million, four hundred thirty thousand, four hundred.
Scientific notation
- Scientific notation: 1.383922514304 × 1014
Factors of 138392251430400
Divisors of 138392251430400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 30 32 33 36 40 44 45 48 50 55 60 64 66 72 75 80 88 90 96 99 100 110 120 128 132 137 144 150 160 165 176 180 192 198 200 220 225 240 256 264 274 275 288 300 320 330 352 360 384 396 400 411 440 450 480 495 512 528 548 550 576 600 640 660 685 704 720 768 792 800 822 825 880 900 960 990 1056 1096 1100 1152 1200 1233 1280 1320 1370 1408 1440 1507 1536 1584 1600 1644 1650 1760 1800 1920 1980 2055 2112 2192 2200 2304 2400 2466 2475 2560 2640 2740 2816 2880 3014 3168 3200 3288 3300 3425 3520 3600 3840 3960 4110 4224 4384 4400 4521 4608 4800 4932 4950 5280 5480 5632 5760 6028 6165 6336 6400 6576 6600 6850 7040 7200 7535 7680 7920 8220 8448 8768 8800 9042 9600 9864 9900 10275 10560 10960 11520 12056 12330 12672 12800 13152 13200 13563 13700 14080 14400 15070 15840 16440 16896 17536 17600 18084 19200 19728 19800 20550 21120 21920 22605 23040 24112 24660 25344 26304 26400 27126 27400 28160 28800 30140 30825 31680 32880 35072 35200 36168 37675 38400 39456 39600 41100 42240 43840 45210 48224 49320 50688 52608 52800 54252 54800 57600 60280 61650 63360 65760 67815 70144 70400 72336 75350 78912 79200 82200 84480 87680 90420 96448 98640 105216 105600 108504 109600 113025 115200 120560 123300 126720 131520 135630 140800 144672 150700 157824 158400 164400 175360 180840 192896 197280 210432 211200 217008 219200 226050 241120 246600 253440 263040 271260 289344 301400 315648 316800 328800 339075 350720 361680 385792 394560 422400 434016 438400 452100 482240 493200 526080 542520 578688 602800 631296 633600 657600 678150 723360 771584 789120 797161 868032 876800 904200 964480 986400 1052160 1085040 1157376 1205600 1267200 1315200 1356300 1446720 1578240 1594322 1736064 1753600 1808400 1928960 1972800 2170080 2314752 2391483 2411200 2630400 2712600 2893440 3156480 3188644 3472128 3616800 3857920 3945600 3985805 4340160 4782966 4822400 5260800 5425200 5786880 6377288 6944256 7174449 7233600 7891200 7971610 8680320 8768771 9565932 9644800 10850400 11573760 11957415 12754576 14348898 14467200 15782400 15943220 17360640 17537542 19131864 19289600 19929025 21700800 23914830 25509152 26306313 28697796 28934400 31886440 34721280 35075084 35872245 38263728 39858050 43401600 43843855 47829660 51018304 52612626 57395592 57868800 59787075 63772880 70150168 71744490 76527456 78918939 79716100 86803200 87687710 95659320 102036608 105225252 109211057 114791184 119574150 127545760 131531565 140300336 143488980 153054912 157837878 159432200 173606400 175375420 179361225 191318640 204073216 210450504 218422114 219219275 229582368 239148300 255091520 263063130 280600672 286977960 306109824 315675756 318864400 327633171 350750840 358722450 382637280 394594695 408146432 420901008 436844228 438438550 459164736 478296600 510183040 526126260 546055285 561201344 573955920 612219648 631351512 637728800 655266342 657657825 701501680 717444900 765274560 789189390 841802016 873688456 876877100 918329472 956593200 982899513 1020366080 1052252520 1092110570 1122402688 1147911840 1201321627 1224439296 1262703024 1275457600 1310532684 1315315650 1403003360 1434889800 1530549120 1578378780 1638165855 1683604032 1747376912 1753754200 1836658944 1913186400 1965799026 1972973475 2040732160 2104505040 2184221140 2244805376 2295823680 2402643254 2525406048 2550915200 2621065368 2630631300 2730276425 2806006720 2869779600 3061098240 3156757560 3276331710 3367208064 3494753824 3507508400 3603964881 3673317888 3826372800 3931598052 3945946950 4209010080 4368442280 4489610752 4591647360 4805286508 4914497565 5050812096 5101830400 5242130736 5261262600 5460552850 5612013440 5739559200 6006608135 6122196480 6313515120 6552663420 6734416128 6989507648 7015016800 7207929762 7652745600 7863196104 7891893900 8190829275 8418020160 8736884560 9183294720 9610573016 9828995130 10101624192 10203660800 10484261472 10522525200 10811894643 10921105700 11224026880 11479118400 12013216270 12627030240 13105326840 13468832256 13979015296 14030033600 14415859524 15305491200 15726392208 15783787800 16381658550 16836040320 17473769120 18019824405 18366589440 19221146032 19657990260 20203248384 20968522944 21045050400 21623789286 21842211400 22448053760 22958236800 24026432540 24572487825 25254060480 26210653680 27958030592 28060067200 28831719048 30033040675 30610982400 31452784416 31567575600 32763317100 33672080640 34947538240 36039648810 38442292064 39315980520 40406496768 41937045888 42090100800 43247578572 43684422800 45916473600 48052865080 49144975650 50508120960 52421307360 54059473215 55916061184 56120134400 57663438096 60066081350 62905568832 63135151200 65526634200 67344161280 69895076480 72079297620 76884584128 78631961040 83874091776 84180201600 86495157144 87368845600 90099122025 91832947200 96105730160 98289951300 101016241920 104842614720 108118946430 112240268800 115326876192 120132162700 125811137664 126270302400 131053268400 139790152960 144158595240 153769168256 157263922080 167748183552 168360403200 172990314288 174737691200 180198244050 192211460320 196579902600 202032483840 209685229440 216237892860 230653752384 240264325400 251622275328 252540604800 262106536800 270297366075 279580305920 288317190480 307538336512 314527844160 336720806400 345980628576 349475382400 360396488100 384422920640 393159805200 419370458880 432475785720 461307504768 480528650800 503244550656 505081209600 524213073600 540594732150 576634380960 615076673024 629055688320 691961257152 698950764800 720792976200 768845841280 786319610400 838740917760 864951571440 922615009536 961057301600 1010162419200 1048426147200 1081189464300 1153268761920 1258111376640 1383922514304 1397901529600 1441585952400 1537691682560 1572639220800 1729903142880 1845230019072 1922114603200 2096852294400 2162378928600 2306537523840 2516222753280 2767845028608 2883171904800 3075383365120 3145278441600 3459806285760 3844229206400 4193704588800 4324757857200 4613075047680 5535690057216 5766343809600 6290556883200 6919612571520 7688458412800 8649515714400 9226150095360 11532687619200 12581113766400 13839225143040 15376916825600 17299031428800 23065375238400 27678450286080 34598062857600 46130750476800 69196125715200 138392251430400
- Sum of all divisors σ(n): 544236419037168
- Sum of proper divisors (its aliquot sum) s(n): 405844167606768
- 138392251430400 is an abundant number, because the sum of its proper divisors (405844167606768) is greater than itself. Its abundance is 267451916176368
Bases of 138392251430400
- Binary: 111110111011101111101001111110001110110000000002
- Hexadecimal: 0x7DDDF4FC7600
- Base-36: 1D20ITBI80
Squares and roots of 138392251430400
- 138392251430400 squared (1383922514304002) is 19152415255975050846044160000
- 138392251430400 cubed (1383922514304003) is 2650545867604328012595167631941566464000000
-
The
square root of 138392251430400 is 11764023.6071847459 -
The
cube root of 138392251430400 is 51725.4079899433
Scales and comparisons
How big is 138392251430400?- 138,392,251,430,400 seconds is equal to 4,400,445 years, 27 weeks, 8 hours.
-
To count from 1 to 138,392,251,430,400 would take you about eleven million, one thousand, one hundred thirteen 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 138392251430400 cubic inches would be around 4310.5 feet tall.
Recreational maths with 138392251430400
- 138392251430400 backwards is 004034152293831
- 138392251430400 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138392251430400's digits is 45
- More coming soon!
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The information we have on file for 138392251430400 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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