138447819888000
138,447,819,888,000 is an even composite number composed of five prime numbers multiplied together.
138447819888000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 138447819888000:
27 × 3 × 53 × 72 × 3893
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 7 × 389 × 389 × 389)See below for interesting mathematical facts about the number 138447819888000 from the Numbermatics database.
Names of 138447819888000
- Cardinal: 138447819888000 can be written as One hundred thirty-eight trillion, four hundred forty-seven billion, eight hundred nineteen million, eight hundred eighty-eight thousand.
Scientific notation
- Scientific notation: 1.38447819888 × 1014
Factors of 138447819888000
Divisors of 138447819888000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 125 128 140 147 150 160 168 175 192 196 200 210 224 240 245 250 280 294 300 320 336 350 375 384 389 392 400 420 448 480 490 500 525 560 588 600 640 672 700 735 750 778 784 800 840 875 896 960 980 1000 1050 1120 1167 1176 1200 1225 1344 1400 1470 1500 1556 1568 1600 1680 1750 1920 1945 1960 2000 2100 2240 2334 2352 2400 2450 2625 2688 2723 2800 2940 3000 3112 3136 3200 3360 3500 3675 3890 3920 4000 4200 4480 4668 4704 4800 4900 5250 5446 5600 5835 5880 6000 6125 6224 6272 6720 7000 7350 7780 7840 8000 8169 8400 9336 9408 9600 9725 9800 10500 10892 11200 11670 11760 12000 12250 12448 13440 13615 14000 14700 15560 15680 16000 16338 16800 18375 18672 18816 19061 19450 19600 21000 21784 22400 23340 23520 24000 24500 24896 27230 28000 29175 29400 31120 31360 32676 33600 36750 37344 38122 38900 39200 40845 42000 43568 46680 47040 48000 48625 49000 49792 54460 56000 57183 58350 58800 62240 65352 67200 68075 73500 74688 76244 77800 78400 81690 84000 87136 93360 94080 95305 97250 98000 108920 112000 114366 116700 117600 124480 130704 136150 145875 147000 149376 151321 152488 155600 156800 163380 168000 174272 186720 190610 194500 196000 204225 217840 228732 233400 235200 248960 261408 272300 285915 291750 294000 302642 304976 311200 326760 336000 340375 348544 373440 381220 389000 392000 408450 435680 453963 457464 466800 470400 476525 522816 544600 571830 583500 588000 605284 609952 622400 653520 680750 746880 756605 762440 778000 784000 816900 871360 907926 914928 933600 953050 1021125 1045632 1059247 1089200 1143660 1167000 1176000 1210568 1219904 1244800 1307040 1361500 1429575 1513210 1524880 1556000 1633800 1742720 1815852 1829856 1867200 1906100 2042250 2118494 2178400 2269815 2287320 2334000 2352000 2382625 2421136 2439808 2614080 2723000 2859150 3026420 3049760 3112000 3177741 3267600 3631704 3659712 3734400 3783025 3812200 4084500 4236988 4356800 4539630 4574640 4668000 4765250 4842272 5228160 5296235 5446000 5718300 6052840 6099520 6224000 6355482 6535200 7147875 7263408 7319424 7414729 7566050 7624400 8169000 8473976 8713600 9079260 9149280 9336000 9530500 9684544 10592470 10892000 11349075 11436600 12105680 12199040 12710964 13070400 14295750 14526816 14829458 15132100 15248800 15888705 16338000 16947952 18158520 18298560 18672000 18915125 19061000 19369088 21184940 21784000 22244187 22698150 22873200 24211360 25421928 26140800 26481175 28591500 29053632 29658916 30264200 30497600 31777410 32676000 33895904 36317040 36597120 37073645 37830250 38122000 42369880 43568000 44488374 45396300 45746400 48422720 50843856 52962350 56745375 57183000 58107264 58863869 59317832 60528400 60995200 63554820 65352000 67791808 72634080 74147290 75660500 76244000 79443525 84739760 88976748 90792600 91492800 96845440 101687712 105924700 111220935 113490750 114366000 117727738 118635664 121056800 127109640 130704000 132405875 135583616 145268160 148294580 151321000 152488000 158887050 169479520 176591607 177953496 181585200 182985600 185368225 203375424 211849400 222441870 226981500 228732000 235455476 237271328 242113600 254219280 264811750 290536320 294319345 296589160 302642000 304976000 317774100 338959040 353183214 355906992 363170400 370736450 397217625 406750848 412047083 423698800 444883740 453963000 457464000 470910952 474542656 484227200 508438560 529623500 556104675 588638690 593178320 605284000 635548200 677918080 706366428 711813984 726340800 741472900 794435250 824094166 847397600 882958035 889767480 907926000 914928000 926841125 941821904 949085312 1016877120 1059247000 1112209350 1177277380 1186356640 1210568000 1236141249 1271096400 1412732856 1423627968 1452681600 1471596725 1482945800 1588870500 1648188332 1694795200 1765916070 1779534960 1815852000 1853682250 1883643808 2033754240 2060235415 2118494000 2224418700 2354554760 2372713280 2421136000 2472282498 2542192800 2780523375 2825465712 2847255936 2884329581 2943193450 2965891600 3177741000 3296376664 3389590400 3531832140 3559069920 3631704000 3707364500 3767287616 4120470830 4236988000 4414790175 4448837400 4709109520 4745426560 4944564996 5084385600 5561046750 5650931424 5768659162 5886386900 5931783200 6180706245 6355482000 6592753328 7063664280 7118139840 7263408000 7357983625 7414729000 7534575232 8240941660 8473976000 8652988743 8829580350 8897674800 9418219040 9889129992 10168771200 10301177075 11122093500 11301862848 11537318324 11772773800 11863566400 12361412490 12710964000 13185506656 14127328560 14236279680 14421647905 14715967250 14829458000 16481883320 16947952000 17305977486 17659160700 17795349600 18836438080 19778259984 20602354150 22073950875 22244187000 22603725696 23074636648 23545547600 23727132800 24722824980 25421928000 26371013312 28254657120 28843295810 29431934500 29658916000 30903531225 32963766640 34611954972 35318321400 35590699200 37672876160 39556519968 41204708300 43264943715 44147901750 44488374000 46149273296 47091095200 49445649960 50843856000 51505885375 52742026624 56509314240 57686591620 58863869000 59317832000 61807062450 65927533280 69223909944 70636642800 71181398400 72108239525 79113039936 82409416600 86529887430 88295803500 88976748000 92298546592 94182190400 98891299920 103011770750 113018628480 115373183240 117727738000 118635664000 123614124900 131855066560 138447819888 141273285600 144216479050 154517656125 158226079872 164818833200 173059774860 176591607000 177953496000 184597093184 188364380800 197782599840 206023541500 216324718575 230746366480 235455476000 247228249800 263710133120 276895639776 282546571200 288432958100 309035312250 329637666400 346119549720 353183214000 355906992000 360541197625 369194186368 395565199680 412047083000 432649437150 461492732960 470910952000 494456499600 553791279552 565093142400 576865916200 618070624500 659275332800 692239099440 706366428000 721082395250 791130399360 824094166000 865298874300 922985465920 941821904000 988912999200 1081623592875 1107582559104 1153731832400 1236141249000 1318550665600 1384478198880 1412732856000 1442164790500 1648188332000 1730597748600 1845970931840 1977825998400 2163247185750 2307463664800 2472282498000 2768956397760 2825465712000 2884329581000 3296376664000 3461195497200 3955651996800 4326494371500 4614927329600 4944564996000 5537912795520 5768659162000 6592753328000 6922390994400 8652988743000 9229854659200 9889129992000 11537318324000 13844781988800 17305977486000 19778259984000 23074636648000 27689563977600 34611954972000 46149273296000 69223909944000 138447819888000
- Sum of all divisors σ(n): 535261868107200
- Sum of proper divisors (its aliquot sum) s(n): 396814048219200
- 138447819888000 is an abundant number, because the sum of its proper divisors (396814048219200) is greater than itself. Its abundance is 258366228331200
Bases of 138447819888000
- Binary: 111110111101010111001010001111111010101100000002
- Hexadecimal: 0x7DEAE51FD580
- Base-36: 1D2Q1TCEIO
Squares and roots of 138447819888000
- 138447819888000 squared (1384478198880002) is 19167798831740088332544000000
- 138447819888000 cubed (1384478198880003) is 2653739960306168567093261960835072000000000
-
The
square root of 138447819888000 is 11766385.1665666631 -
The
cube root of 138447819888000 is 51732.3301417545
Scales and comparisons
How big is 138447819888000?- 138,447,819,888,000 seconds is equal to 4,402,212 years, 22 weeks, 18 hours, 40 minutes.
-
To count from 1 to 138,447,819,888,000 would take you about eleven million, five thousand, five hundred thirty-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 138447819888000 cubic inches would be around 4311 feet tall.
Recreational maths with 138447819888000
- 138447819888000 backwards is 000888918744831
- The number of decimal digits it has is: 15
- The sum of 138447819888000's digits is 69
- 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 138447819888000 - Facts about the integer". Numbermatics.com. 2024. Web. 21 May 2024.
APA style:
Numbermatics. (2024). Number 138447819888000 - Facts about the integer. Retrieved 21 May 2024, from https://numbermatics.com/n/138447819888000/
Chicago style:
Numbermatics. 2024. "Number 138447819888000 - Facts about the integer". https://numbermatics.com/n/138447819888000/
The information we have on file for 138447819888000 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 138447819888000, math, Factors of 138447819888000, curriculum, school, college, exams, university, Prime factorization of 138447819888000, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, four hundred forty-seven billion, eight hundred nineteen million, eight hundred eighty-eight thousand.