138429268224000
138,429,268,224,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138429268224000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138429268224000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 138429268224000:
211 × 3 × 53 × 132 × 139 × 7673
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 139 × 7673)See below for interesting mathematical facts about the number 138429268224000 from the Numbermatics database.
Names of 138429268224000
- Cardinal: 138429268224000 can be written as One hundred thirty-eight trillion, four hundred twenty-nine billion, two hundred sixty-eight million, two hundred twenty-four thousand.
Scientific notation
- Scientific notation: 1.38429268224 × 1014
Factors of 138429268224000
Divisors of 138429268224000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 48 50 52 60 64 65 75 78 80 96 100 104 120 125 128 130 139 150 156 160 169 192 195 200 208 240 250 256 260 278 300 312 320 325 338 375 384 390 400 416 417 480 500 507 512 520 556 600 624 640 650 676 695 750 768 780 800 832 834 845 960 975 1000 1014 1024 1040 1112 1200 1248 1280 1300 1352 1390 1500 1536 1560 1600 1625 1664 1668 1690 1807 1920 1950 2000 2028 2048 2080 2085 2224 2400 2496 2535 2560 2600 2704 2780 3000 3072 3120 3200 3250 3328 3336 3380 3475 3614 3840 3900 4000 4056 4160 4170 4225 4448 4800 4875 4992 5070 5120 5200 5408 5421 5560 6000 6144 6240 6400 6500 6656 6672 6760 6950 7228 7673 7680 7800 8000 8112 8320 8340 8450 8896 9035 9600 9750 9984 10140 10240 10400 10425 10816 10842 11120 12000 12480 12675 12800 13000 13312 13344 13520 13900 14456 15346 15360 15600 16000 16224 16640 16680 16900 17375 17792 18070 19200 19500 19968 20280 20800 20850 21125 21632 21684 22240 23019 23491 24000 24960 25350 25600 26000 26624 26688 27040 27105 27800 28912 30692 30720 31200 32000 32448 33280 33360 33800 34750 35584 36140 38365 38400 39000 39936 40560 41600 41700 42250 43264 43368 44480 45175 46038 46982 48000 49920 50700 51200 52000 52125 53376 54080 54210 55600 57824 61384 62400 63375 64000 64896 66560 66720 67600 69500 70473 71168 72280 76730 76800 78000 79872 81120 83200 83400 84500 86528 86736 88960 90350 92076 93964 96000 99749 99840 101400 104000 104250 106752 108160 108420 111200 115095 115648 117455 122768 124800 126750 128000 129792 133120 133440 135200 135525 139000 140946 142336 144560 153460 153600 156000 162240 166400 166800 169000 173056 173472 177920 180700 184152 187928 191825 192000 199498 199680 202800 208000 208500 213504 216320 216840 222400 225875 230190 231296 234910 245536 249600 253500 256000 259584 266880 270400 271050 278000 281892 284672 289120 299247 306920 312000 324480 332800 333600 338000 346112 346944 352365 355840 361400 368304 375856 383650 384000 398996 399360 405600 416000 417000 427008 432640 433680 444800 451750 460380 462592 469820 491072 498745 499200 507000 519168 533760 540800 542100 556000 563784 575475 578240 587275 598494 613840 624000 648960 665600 667200 676000 677625 693888 704730 711680 722800 736608 751712 767300 768000 797992 811200 832000 834000 854016 865280 867360 889600 903500 920760 925184 939640 959125 982144 997490 998400 1014000 1038336 1066547 1067520 1081600 1084200 1112000 1127568 1150950 1156480 1174550 1196988 1227680 1248000 1296737 1297920 1334400 1352000 1355250 1387776 1409460 1423360 1445600 1473216 1496235 1503424 1534600 1595984 1622400 1664000 1668000 1730560 1734720 1761825 1779200 1807000 1841520 1850368 1879280 1918250 1964288 1994980 1996800 2028000 2133094 2135040 2163200 2168400 2224000 2255136 2301900 2312960 2349100 2393976 2455360 2493725 2496000 2593474 2595840 2668800 2704000 2710500 2775552 2818920 2877375 2891200 2936375 2946432 2992470 3006848 3069200 3191968 3199641 3244800 3328000 3336000 3469440 3523650 3558400 3614000 3683040 3700736 3758560 3836500 3890211 3928576 3989960 4056000 4266188 4270080 4326400 4336800 4448000 4510272 4603800 4625920 4698200 4787952 4910720 4987450 4992000 5186948 5191680 5332735 5337600 5408000 5421000 5551104 5637840 5754750 5782400 5872750 5892864 5984940 6013696 6138400 6383936 6399282 6483685 6489600 6672000 6938880 7047300 7116800 7228000 7366080 7481175 7517120 7673000 7780422 7857152 7979920 8112000 8532376 8652800 8673600 8809125 8896000 9020544 9207600 9251840 9396400 9575904 9821440 9974900 9984000 10373896 10665470 10675200 10816000 10842000 11102208 11275680 11509500 11564800 11745500 11785728 11969880 12027392 12276800 12468625 12767872 12798564 12967370 12979200 13344000 13865111 13877760 14094600 14456000 14732160 14962350 15034240 15346000 15560844 15714304 15959840 15998205 16224000 17064752 17347200 17618250 17792000 18041088 18415200 18503680 18792800 19151808 19451055 19642880 19949800 20747792 21330940 21350400 21632000 21684000 22551360 23019000 23129600 23491000 23571456 23939760 24054784 24553600 24937250 25535744 25597128 25934740 25958400 26663675 26688000 27730222 27755520 28189200 28912000 29464320 29924700 30068480 30692000 31121688 31919680 31996410 32418425 32448000 34129504 34694400 35236500 35584000 36082176 36830400 37405875 37585600 38303616 38902110 39285760 39899600 41495584 41595333 42661880 43264000 43368000 45102720 46038000 46259200 46982000 47142912 47879520 48109568 49107200 49874500 51071488 51194256 51869480 53327350 53376000 55460444 55511040 56378400 57824000 58928640 59849400 60136960 61384000 62243376 63839360 63992820 64836850 64896000 68259008 69325555 69388800 70473000 72164352 73660800 74811750 75171200 76607232 77804220 78571520 79799200 79991025 82991168 83190666 85323760 86736000 90205440 92076000 92518400 93964000 95759040 97255275 98214400 99749000 102142976 102388512 103738960 106654700 106752000 110920888 112756800 115648000 117857280 119698800 120273920 122768000 124486752 127678720 127985640 129673700 129792000 133318375 136518016 138651110 138777600 140946000 144328704 147321600 149623500 150342400 153214464 155608440 159598400 159982050 162092125 165982336 166381332 170647520 173472000 180246443 180410880 184152000 187928000 191518080 194510550 196428800 199498000 204285952 204777024 207477920 207976665 213309400 221841776 225513600 231296000 235714560 239397600 240547840 245536000 248973504 255357440 255971280 259347400 266636750 273036032 277302220 277555200 281892000 294643200 299247000 300684800 306428928 311216880 319196800 319964100 324184250 331964672 332762664 341295040 346627775 346944000 360492886 360821760 368304000 375856000 383036160 389021100 392857600 398996000 399955125 409554048 414955840 415953330 426618800 443683552 451027200 462592000 478795200 486276375 491072000 497947008 510714880 511942560 518694800 533273500 540739329 546072064 554604440 563784000 589286400 598494000 601369600 612857856 622433760 638393600 639928200 648368500 663929344 665525328 682590080 693255550 693888000 720985772 721643520 736608000 751712000 766072320 778042200 797992000 799910250 819108096 829911680 831906660 853237600 887367104 901232215 902054400 957590400 972552750 982144000 995894016 1021429760 1023885120 1037389600 1039883325 1066547000 1081478658 1092144128 1109208880 1127568000 1178572800 1196988000 1202739200 1244867520 1276787200 1279856400 1296737000 1327858688 1331050656 1365180160 1386511100 1387776000 1441971544 1473216000 1503424000 1532144640 1556084400 1595984000 1599820500 1638216192 1659823360 1663813320 1706475200 1733138875 1774734208 1802464430 1804108800 1915180800 1945105500 1964288000 1991788032 2047770240 2074779200 2079766650 2133094000 2162957316 2184288256 2218417760 2255136000 2393976000 2489735040 2553574400 2559712800 2593474000 2655717376 2662101312 2703696645 2730360320 2773022200 2883943088 2946432000 3006848000 3064289280 3112168800 3191968000 3199641000 3276432384 3319646720 3327626640 3412950400 3466277750 3549468416 3604928860 3608217600 3830361600 3890211000 3983576064 4095540480 4149558400 4159533300 4266188000 4325914632 4436835520 4506161075 4510272000 4787952000 4979470080 5107148800 5119425600 5186948000 5199416625 5324202624 5407393290 5460720640 5546044400 5767886176 5892864000 6013696000 6224337600 6383936000 6399282000 6552864768 6639293440 6655253280 6825900800 6932555500 7098936832 7209857720 7660723200 7780422000 7967152128 8191080960 8299116800 8319066600 8532376000 8651829264 8873671040 9012322150 9020544000 9575904000 9958940160 10238851200 10373896000 10398833250 10648405248 10814786580 10921441280 11092088800 11535772352 12448675200 12767872000 12798564000 13278586880 13310506560 13518483225 13651801600 13865111000 14197873664 14419715440 15321446400 15560844000 16382161920 16598233600 16638133200 17064752000 17303658528 17747342080 18024644300 18041088000 19151808000 19917880320 20477702400 20747792000 20797666500 21296810496 21629573160 22184177600 22530805375 23071544704 24897350400 25535744000 25597128000 26621013120 27036966450 27303603200 27730222000 28395747328 28839430880 31121688000 32764323840 33196467200 33276266400 34129504000 34607317056 35494684160 36049288600 38303616000 39835760640 40955404800 41495584000 41595333000 42593620992 43259146320 44368355200 45061610750 46143089408 49794700800 51194256000 53242026240 54073932900 54607206400 55460444000 57678861760 62243376000 66392934400 66552532800 67592416125 68259008000 69214634112 70989368320 72098577200 76607232000 81910809600 82991168000 83190666000 85187241984 86518292640 88736710400 90123221500 92286178816 99589401600 102388512000 106484052480 108147865800 110920888000 115357723520 124486752000 133105065600 135184832250 136518016000 138429268224 141978736640 144197154400 163821619200 165982336000 166381332000 173036585280 177473420800 180246443000 184572357632 199178803200 204777024000 212968104960 216295731600 221841776000 230715447040 248973504000 266210131200 270369664500 273036032000 276858536448 288394308800 331964672000 332762664000 346073170560 354946841600 360492886000 369144715264 409554048000 425936209920 432591463200 443683552000 461430894080 497947008000 532420262400 540739329000 553717072896 576788617600 665525328000 692146341120 709893683200 720985772000 819108096000 865182926400 887367104000 922861788160 995894016000 1064840524800 1081478658000 1107434145792 1153577235200 1331050656000 1384292682240 1441971544000 1730365852800 1774734208000 1845723576320 2129681049600 2162957316000 2307154470400 2662101312000 2768585364480 2883943088000 3460731705600 3549468416000 4325914632000 4614308940800 5324202624000 5537170728960 5767886176000 6921463411200 8651829264000 9228617881600 10648405248000 11535772352000 13842926822400 17303658528000 23071544704000 27685853644800 34607317056000 46143089408000 69214634112000 138429268224000
- Sum of all divisors σ(n): 502388183606400
- Sum of proper divisors (its aliquot sum) s(n): 363958915382400
- 138429268224000 is an abundant number, because the sum of its proper divisors (363958915382400) is greater than itself. Its abundance is 225529647158400
Bases of 138429268224000
- Binary: 111110111100110100100110101101111101000000000002
- Hexadecimal: 0x7DE6935BE800
- Base-36: 1D2HJ05UYO
Squares and roots of 138429268224000
- 138429268224000 squared (1384292682240002) is 19162662301032136114176000000
- 138429268224000 cubed (1384292682240003) is 2652673319555510602192946592743424000000000
-
The
square root of 138429268224000 is 11765596.8069622375 -
The
cube root of 138429268224000 is 51730.0193706221
Scales and comparisons
How big is 138429268224000?- 138,429,268,224,000 seconds is equal to 4,401,622 years, 28 weeks, 10 hours, 40 minutes.
-
To count from 1 to 138,429,268,224,000 would take you about eleven million, four thousand and fifty-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 138429268224000 cubic inches would be around 4310.8 feet tall.
Recreational maths with 138429268224000
- 138429268224000 backwards is 000422862924831
- The number of decimal digits it has is: 15
- The sum of 138429268224000's digits is 51
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 138429268224000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 138429268224000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138429268224000/
Chicago style:
Numbermatics. 2024. "Number 138429268224000 - Facts about the integer". https://numbermatics.com/n/138429268224000/
The information we have on file for 138429268224000 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!
Keywords: Divisors of 138429268224000, math, Factors of 138429268224000, curriculum, school, college, exams, university, Prime factorization of 138429268224000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred twenty-nine billion, two hundred sixty-eight million, two hundred twenty-four thousand.