138129935904000
138,129,935,904,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138129935904000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138129935904000 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 138129935904000:
28 × 33 × 53 × 31 × 601 × 8581
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 31 × 601 × 8581)See below for interesting mathematical facts about the number 138129935904000 from the Numbermatics database.
Names of 138129935904000
- Cardinal: 138129935904000 can be written as One hundred thirty-eight trillion, one hundred twenty-nine billion, nine hundred thirty-five million, nine hundred four thousand.
Scientific notation
- Scientific notation: 1.38129935904 × 1014
Factors of 138129935904000
Divisors of 138129935904000
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 31 32 36 40 45 48 50 54 60 62 64 72 75 80 90 93 96 100 108 120 124 125 128 135 144 150 155 160 180 186 192 200 216 225 240 248 250 256 270 279 288 300 310 320 360 372 375 384 400 432 450 465 480 496 500 540 558 576 600 601 620 640 675 720 744 750 768 775 800 837 864 900 930 960 992 1000 1080 1116 1125 1152 1200 1202 1240 1280 1350 1395 1440 1488 1500 1550 1600 1674 1728 1800 1803 1860 1920 1984 2000 2160 2232 2250 2304 2325 2400 2404 2480 2700 2790 2880 2976 3000 3005 3100 3200 3348 3375 3456 3600 3606 3720 3840 3875 3968 4000 4185 4320 4464 4500 4650 4800 4808 4960 5400 5409 5580 5760 5952 6000 6010 6200 6400 6696 6750 6912 6975 7200 7212 7440 7750 7936 8000 8370 8581 8640 8928 9000 9015 9300 9600 9616 9920 10800 10818 11160 11520 11625 11904 12000 12020 12400 13392 13500 13950 14400 14424 14880 15025 15500 16000 16227 16740 17162 17280 17856 18000 18030 18600 18631 19200 19232 19840 20925 21600 21636 22320 23250 23808 24000 24040 24800 25743 26784 27000 27045 27900 28800 28848 29760 30050 31000 32000 32454 33480 34324 34560 34875 35712 36000 36060 37200 37262 38464 39680 41850 42905 43200 43272 44640 45075 46500 48000 48080 49600 51486 53568 54000 54090 55800 55893 57600 57696 59520 60100 62000 64908 66960 68648 69750 71424 72000 72120 74400 74524 75125 76928 77229 81135 83700 85810 86400 86544 89280 90150 93000 93155 96000 96160 99200 102972 104625 107136 108000 108180 111600 111786 115392 119040 120200 124000 128715 129816 133920 135225 137296 139500 144000 144240 148800 149048 150250 153856 154458 162270 167400 167679 171620 172800 173088 178560 180300 186000 186310 192320 198400 205944 209250 214272 214525 216000 216360 223200 223572 225375 230784 231687 240400 248000 257430 259632 266011 267840 270450 274592 279000 279465 288000 288480 297600 298096 300500 308916 324540 334800 335358 343240 346176 357120 360600 372000 372620 384640 386145 405675 411888 418500 429050 432000 432720 446400 447144 450750 461568 463374 465775 480800 496000 503037 514860 519264 532022 535680 540900 549184 558000 558930 576960 595200 596192 601000 617832 643575 649080 669600 670716 676125 686480 692352 721200 744000 745240 769280 772290 798033 811350 823776 837000 838395 858100 864000 865440 892800 894288 901500 926748 931550 961600 992000 1006074 1029720 1038528 1064044 1071360 1072625 1081800 1098368 1116000 1117860 1153920 1158435 1192384 1202000 1235664 1287150 1298160 1330055 1339200 1341432 1352250 1372960 1384704 1397325 1442400 1488000 1490480 1544580 1596066 1622700 1647552 1674000 1676790 1716200 1730880 1785600 1788576 1803000 1853496 1863100 1923200 1930725 2012148 2028375 2059440 2077056 2128088 2145250 2163600 2196736 2232000 2235720 2307840 2316870 2328875 2384768 2394099 2404000 2471328 2515185 2574300 2596320 2660110 2678400 2682864 2704500 2745920 2794650 2884800 2976000 2980960 3089160 3192132 3217875 3245400 3295104 3348000 3353580 3432400 3461760 3577152 3606000 3706992 3726200 3846400 3861450 3990165 4024296 4056750 4118880 4154112 4191975 4256176 4290500 4327200 4464000 4471440 4633740 4657750 4769536 4788198 4808000 4942656 5030370 5148600 5157181 5192640 5320220 5356800 5365728 5409000 5491840 5589300 5769600 5792175 5961920 6178320 6384264 6435750 6490800 6590208 6650275 6696000 6707160 6864800 6923520 6986625 7154304 7182297 7212000 7413984 7452400 7722900 7980330 8048592 8113500 8237760 8383950 8512352 8581000 8654400 8928000 8942880 9267480 9315500 9576396 9616000 9653625 9885312 10060740 10297200 10314362 10385280 10640440 10731456 10818000 10983680 11178600 11539200 11584350 11923840 11970495 12356640 12575925 12768528 12871500 12981600 13300550 13392000 13414320 13729600 13973250 14308608 14364594 14424000 14827968 14904800 15445800 15471543 15960660 16097184 16227000 16475520 16767900 17024704 17162000 17308800 17885760 18534960 18631000 19152792 19232000 19307250 19770624 19950825 20121480 20594400 20628724 20770560 20959875 21280880 21462912 21636000 22357200 23168700 23847680 23940990 24713280 25151850 25537056 25743000 25785905 25963200 26601100 26784000 26828640 27459200 27946500 28729188 28848000 28960875 29655936 29809600 30891600 30943086 31921320 32194368 32454000 32951040 33251375 33535800 34049408 34324000 34617600 35771520 35911485 37069920 37262000 38305584 38614500 39901650 40242960 41188800 41257448 41919750 42561760 42925824 43272000 44714400 46337400 46414629 47881980 49426560 50303700 51074112 51486000 51571810 51926400 53202200 53657280 54918400 55893000 57458376 57696000 57921750 59311872 59619200 59852475 61783200 61886172 62879625 63842640 64388736 64908000 66502750 67071600 68098816 68648000 71543040 71822970 74139840 74524000 76611168 77229000 77357715 79803300 80485920 82377600 82514896 83839500 85123520 86544000 89428800 92674800 92829258 95763960 98853120 99754125 100607400 102148224 102972000 103143620 103852800 106404400 107314560 111786000 114916752 115843500 119238400 119704950 123566400 123772344 125759250 127685280 128777472 128929525 129816000 133005500 134143200 137296000 139243887 143645940 148279680 149048000 153222336 154458000 154715430 159606600 159872611 160971840 164755200 165029792 167679000 170247040 173088000 178857600 179557425 185349600 185658516 191527920 199508250 201214800 204296448 205944000 206287240 212808800 214629120 223572000 229833504 231687000 232073145 239409900 247132800 247544688 251518500 255370560 257859050 259632000 266011000 268286400 274592000 278487774 287291880 296559360 298096000 299262375 306444672 308916000 309430860 319213200 319745222 321943680 330059584 335358000 340494080 357715200 359114850 370699200 371317032 383055840 386788575 399016500 402429600 411888000 412574480 425617600 447144000 459667008 463374000 464146290 478819800 479617833 494265600 495089376 503037000 510741120 515718100 519264000 532022000 536572800 556975548 574583760 596192000 598524750 612889344 617832000 618861720 638426400 639490444 643887360 644647625 660119168 670716000 696219435 718229700 741398400 742634064 766111680 773577150 798033000 799363055 804859200 823776000 825148960 851235200 894288000 897787125 919334016 926748000 928292580 957639600 959235666 990178752 1006074000 1021482240 1031436200 1064044000 1073145600 1113951096 1149167520 1160365725 1197049500 1235664000 1237723440 1276852800 1278980888 1289295250 1320238336 1341432000 1392438870 1436459400 1438853499 1482796800 1485268128 1532223360 1547154300 1596066000 1598726110 1609718400 1650297920 1702470400 1788576000 1795574250 1838668032 1853496000 1856585160 1915279200 1918471332 1933942875 1980357504 2012148000 2062872400 2128088000 2227902192 2298335040 2320731450 2394099000 2398089165 2471328000 2475446880 2553705600 2557961776 2578590500 2682864000 2784877740 2872918800 2877706998 2970536256 3064446720 3094308600 3192132000 3197452220 3219436800 3300595840 3481097175 3591148500 3706992000 3713170320 3830558400 3836942664 3867885750 3960715008 3996815275 4024296000 4125744800 4256176000 4316560497 4455804384 4596670080 4641462900 4788198000 4796178330 4950893760 5107411200 5115923552 5157181000 5365728000 5569755480 5745837600 5755413996 5801828625 5941072512 6188617200 6384264000 6394904440 6601191680 6962194350 7182297000 7194267495 7413984000 7426340640 7661116800 7673885328 7735771500 7993630550 8048592000 8251489600 8512352000 8633120994 8911608768 9193340160 9282925800 9576396000 9592356660 9901787520 10231847104 10314362000 11139510960 11491675200 11510827992 11603657250 11882145024 11990445825 12377234400 12768528000 12789808880 13924388700 14364594000 14388534990 14852681280 15322233600 15347770656 15471543000 15987261100 16097184000 16502979200 17266241988 17405485875 17823217536 18565851600 19152792000 19184713320 19803575040 19984076375 20463694208 20628724000 21582802485 22279021920 22983350400 23021655984 23207314500 23980891650 24754468800 25537056000 25579617760 27848777400 28729188000 28777069980 29705362560 30695541312 30943086000 31974522200 33005958400 34532483976 34810971750 35646435072 35971337475 37131703200 38305584000 38369426640 39968152750 40927388416 41257448000 43165604970 44558043840 45966700800 46043311968 46414629000 47961783300 49508937600 51159235520 55697554800 57458376000 57554139960 59410725120 59952229125 61391082624 61886172000 63949044400 69064967952 69621943500 71942674950 74263406400 76611168000 76738853280 79936305500 82514896000 86331209940 89116087680 92086623936 92829258000 95923566600 99017875200 102318471040 107914012425 111395109600 114916752000 115108279920 119904458250 122782165248 123772344000 127898088800 138129935904 139243887000 143885349900 148526812800 153477706560 159872611000 165029792000 172662419880 178232175360 179856687375 184173247872 185658516000 191847133200 204636942080 215828024850 222790219200 229833504000 230216559840 239808916500 247544688000 255796177600 276259871808 278487774000 287770699800 297053625600 306955413120 319745222000 345324839760 359713374750 368346495744 371317032000 383694266400 431656049700 445580438400 460433119680 479617833000 495089376000 511592355200 539570062125 552519743616 556975548000 575541399600 613910826240 639490444000 690649679520 719426749500 742634064000 767388532800 863312099400 891160876800 920866239360 959235666000 1023184710400 1079140124250 1105039487232 1113951096000 1151082799200 1278980888000 1381299359040 1438853499000 1485268128000 1534777065600 1726624198800 1841732478720 1918471332000 2158280248500 2227902192000 2302165598400 2557961776000 2762598718080 2877706998000 3069554131200 3453248397600 3836942664000 4316560497000 4455804384000 4604331196800 5115923552000 5525197436160 5755413996000 6906496795200 7673885328000 8633120994000 9208662393600 11510827992000 13812993590400 15347770656000 17266241988000 23021655984000 27625987180800 34532483976000 46043311968000 69064967952000 138129935904000
- Sum of all divisors σ(n): 527157596958720
- Sum of proper divisors (its aliquot sum) s(n): 389027661054720
- 138129935904000 is an abundant number, because the sum of its proper divisors (389027661054720) is greater than itself. Its abundance is 250897725150720
Bases of 138129935904000
- Binary: 111110110100000111000011100001100101101000000002
- Hexadecimal: 0x7DA0E1C32D00
- Base-36: 1CYO0LFEO0
Squares and roots of 138129935904000
- 138129935904000 squared (1381299359040002) is 19079879192843148297216000000
- 138129935904000 cubed (1381299359040003) is 2635502489963487329820012821643264000000000
-
The
square root of 138129935904000 is 11752869.2626098755 -
The
cube root of 138129935904000 is 51692.7063532343
Scales and comparisons
How big is 138129935904000?- 138,129,935,904,000 seconds is equal to 4,392,104 years, 36 weeks, 2 days.
-
To count from 1 to 138,129,935,904,000 would take you about ten million, nine hundred eighty thousand, two hundred sixty-one 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 138129935904000 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138129935904000
- 138129935904000 backwards is 000409539921831
- 138129935904000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138129935904000's digits is 54
- 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 138129935904000 - Facts about the integer". Numbermatics.com. 2024. Web. 28 June 2024.
APA style:
Numbermatics. (2024). Number 138129935904000 - Facts about the integer. Retrieved 28 June 2024, from https://numbermatics.com/n/138129935904000/
Chicago style:
Numbermatics. 2024. "Number 138129935904000 - Facts about the integer". https://numbermatics.com/n/138129935904000/
The information we have on file for 138129935904000 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 138129935904000, math, Factors of 138129935904000, curriculum, school, college, exams, university, Prime factorization of 138129935904000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, one hundred twenty-nine billion, nine hundred thirty-five million, nine hundred four thousand.