138941670973440
138,941,670,973,440 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138941670973440 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 896 divisors.
138941670973440 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138941670973440:
213 × 3 × 5 × 31 × 61 × 73 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 31 × 61 × 73 × 8191)See below for interesting mathematical facts about the number 138941670973440 from the Numbermatics database.
Names of 138941670973440
- Cardinal: 138941670973440 can be written as One hundred thirty-eight trillion, nine hundred forty-one billion, six hundred seventy million, nine hundred seventy-three thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3894167097344 × 1014
Factors of 138941670973440
Divisors of 138941670973440
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 61 62 64 73 80 93 96 120 122 124 128 146 155 160 183 186 192 219 240 244 248 256 292 305 310 320 365 366 372 384 438 465 480 488 496 512 584 610 620 640 730 732 744 768 876 915 930 960 976 992 1024 1095 1168 1220 1240 1280 1460 1464 1488 1536 1752 1830 1860 1891 1920 1952 1984 2048 2190 2263 2336 2440 2480 2560 2920 2928 2976 3072 3504 3660 3720 3782 3840 3904 3968 4096 4380 4453 4526 4672 4880 4960 5120 5673 5840 5856 5952 6144 6789 7008 7320 7440 7564 7680 7808 7936 8191 8192 8760 8906 9052 9344 9455 9760 9920 10240 11315 11346 11680 11712 11904 12288 13359 13578 14016 14640 14880 15128 15360 15616 15872 16382 17520 17812 18104 18688 18910 19520 19840 20480 22265 22630 22692 23360 23424 23808 24573 24576 26718 27156 28032 28365 29280 29760 30256 30720 31232 31744 32764 33945 35040 35624 36208 37376 37820 39040 39680 40955 40960 44530 45260 45384 46720 46848 47616 49146 53436 54312 56064 56730 58560 59520 60512 61440 62464 63488 65528 66795 67890 70080 71248 72416 74752 75640 78080 79360 81910 89060 90520 90768 93440 93696 95232 98292 106872 108624 112128 113460 117120 119040 121024 122865 122880 124928 126976 131056 133590 135780 138043 140160 142496 144832 149504 151280 156160 158720 163820 178120 181040 181536 186880 187392 190464 196584 213744 217248 224256 226920 234240 238080 242048 245730 249856 253921 253952 262112 267180 271560 276086 280320 284992 289664 299008 302560 312320 317440 327640 356240 362080 363072 373760 374784 380928 393168 414129 427488 434496 448512 453840 468480 476160 484096 491460 499651 499712 507842 524224 534360 543120 552172 560640 569984 579328 597943 598016 605120 624640 634880 655280 690215 712480 724160 726144 747520 749568 761763 761856 786336 828258 854976 868992 897024 907680 936960 952320 968192 982920 999302 1015684 1048448 1068720 1086240 1104344 1121280 1139968 1158656 1195886 1210240 1249280 1269605 1269760 1310560 1380430 1424960 1448320 1452288 1495040 1498953 1499136 1523526 1572672 1656516 1709952 1737984 1793829 1794048 1815360 1873920 1904640 1936384 1965840 1998604 2031368 2070645 2096896 2137440 2172480 2208688 2242560 2279936 2317312 2391772 2420480 2498255 2498560 2539210 2621120 2760860 2849920 2896640 2904576 2989715 2990080 2997906 3047052 3145344 3313032 3419904 3475968 3587658 3630720 3747840 3808815 3809280 3872768 3931680 3997208 4062736 4141290 4193792 4274880 4344960 4417376 4485120 4559872 4634624 4783544 4840960 4996510 5078420 5242240 5521720 5699840 5793280 5809152 5979430 5995812 6094104 6290688 6626064 6839808 6951936 7175316 7261440 7494765 7495680 7617630 7745536 7863360 7994416 8125472 8282580 8387584 8549760 8689920 8834752 8969145 8970240 9119744 9269248 9567088 9681920 9993020 10156840 10484480 11043440 11399680 11586560 11618304 11958860 11991624 12188208 12581376 13252128 13679616 13903872 14350632 14522880 14989530 15235260 15489181 15491072 15726720 15988832 16250944 16565160 16775168 17099520 17379840 17669504 17938290 18239488 18536233 18538496 19134176 19363840 19986040 20313680 20968960 22086880 22799360 23173120 23236608 23917720 23983248 24376416 25162752 26504256 27359232 27807744 28701264 29045760 29979060 30470520 30978362 31453440 31977664 32501888 33130320 33550336 34199040 34759680 35339008 35876580 36474523 36478976 37072466 38268352 38727680 39972080 40627360 41937920 44173760 45598720 46346240 46467543 46473216 47835440 47966496 48752832 50325504 53008512 54718464 55608699 55615488 57402528 58091520 59958120 60941040 61956724 62906880 63955328 65003776 66260640 67100672 68398080 69519360 70678016 71753160 72949046 74144932 76536704 77445905 77455360 79944160 81254720 83875840 88347520 91197440 92681165 92692480 92935086 95670880 95932992 97505664 100651008 106017024 109423569 109436928 111217398 114805056 116183040 119916240 121882080 123913448 125813760 127910656 130007552 132521280 136796160 139038720 141356032 143506320 145898092 148289864 153073408 154891810 159888320 162509440 167751680 176695040 182372615 182394880 185362330 185870172 191341760 191865984 195011328 201302016 212034048 218847138 222434796 229610112 232337715 232366080 239832480 243764160 247826896 251627520 255821312 260015104 265042560 273592320 278043495 278077440 282712064 287012640 291796184 296579728 306146816 309783620 319776640 325018880 335503360 353390080 364745230 370724660 371740344 382683520 383731968 390022656 424068096 437694276 444869592 459220224 464675430 479664960 487528320 495653792 503255040 511642624 520030208 530085120 547117845 547184640 556086990 565424128 574025280 583592368 593159456 612293632 619567240 639553280 650037760 706780160 729490460 741449320 743480688 765367040 767463936 780045312 848136192 875388552 889739184 918440448 929350860 959329920 975056640 991307584 1006510080 1023285248 1040060416 1060170240 1094235690 1112173980 1130710213 1130848256 1148050560 1167184736 1186318912 1224587264 1239134480 1279106560 1300075520 1413560320 1458980920 1482898640 1486961376 1530734080 1534927872 1560090624 1696272384 1750777104 1779478368 1836880896 1858701720 1918659840 1950113280 1982615168 2046570496 2080120832 2120340480 2188471380 2224347960 2261420426 2296101120 2334369472 2372637824 2449174528 2478268960 2558213120 2600151040 2827120640 2917961840 2965797280 2973922752 3061468160 3069855744 3120181248 3392130639 3392544768 3501554208 3558956736 3673761792 3717403440 3837319680 3900226560 3965230336 4093140992 4240680960 4376942760 4448695920 4522840852 4592202240 4668738944 4745275648 4898349056 4956537920 5116426240 5200302080 5653551065 5654241280 5835923680 5931594560 5947845504 6122936320 6139711488 6240362496 6784261278 7003108416 7117913472 7347523584 7434806880 7674639360 7800453120 7930460672 8481361920 8753885520 8897391840 9045681704 9184404480 9337477888 9490551296 9913075840 10232852480 10400604160 11307102130 11671847360 11863189120 11895691008 12245872640 12279422976 13568522556 14006216832 14235826944 14695047168 14869613760 15349278720 15600906240 15860921344 16960653195 16962723840 17507771040 17794783680 18091363408 18368808960 18674955776 18981102592 19826151680 20465704960 22614204260 23343694720 23726378240 23791382016 24491745280 27137045112 28012433664 28471653888 29739227520 30698557440 31201812480 31721842688 33921306390 35015542080 35589567360 36182726816 36737617920 37349911552 37962205184 39652303360 45228408520 46687389440 47452756480 47582764032 54274090224 56024867328 56943307776 59478455040 61397114880 63443685376 67842612780 70031084160 71179134720 72365453632 73475235840 74699823104 75924410368 79304606720 90456817040 93374778880 94905512960 95165528064 108548180448 112049734656 113886615552 118956910080 126887370752 135685225560 140062168320 142358269440 144730907264 149399646208 151848820736 158609213440 180913634080 186749557760 189811025920 190331056128 217096360896 224099469312 227773231104 237913820160 271370451120 280124336640 284716538880 289461814528 298799292416 317218426880 361827268160 373499115520 379622051840 380662112256 434192721792 448198938624 455546462208 475827640320 542740902240 560248673280 569433077760 578923629056 634436853760 723654536320 746998231040 759244103680 868385443584 896397877248 951655280640 1085481804480 1120497346560 1138866155520 1157847258112 1447309072640 1493996462080 1736770887168 1903310561280 2170963608960 2240994693120 2277732311040 2315694516224 2894618145280 3473541774336 4341927217920 4481989386240 4631389032448 5789236290560 6947083548672 8683854435840 9262778064896 11578472581120 13894167097344 17367708871680 23156945162240 27788334194688 34735417743360 46313890324480 69470835486720 138941670973440
- Sum of all divisors σ(n): 472898573697024
- Sum of proper divisors (its aliquot sum) s(n): 333956902723584
- 138941670973440 is an abundant number, because the sum of its proper divisors (333956902723584) is greater than itself. Its abundance is 195015231750144
Bases of 138941670973440
- Binary: 111111001011101111000001111000101100000000000002
- Hexadecimal: 0x7E5DE0F16000
- Base-36: 1D90X7J2TC
Squares and roots of 138941670973440
- 138941670973440 squared (1389416709734402) is 19304787932891659437185433600
- 138941670973440 cubed (1389416709734403) is 2682239493183867856667861206591900483584000
-
The
square root of 138941670973440 is 11787352.1612548761 -
The
cube root of 138941670973440 is 51793.7678500611
Scales and comparisons
How big is 138941670973440?- 138,941,670,973,440 seconds is equal to 4,417,915 years, 18 weeks, 5 days, 19 hours, 44 minutes.
-
To count from 1 to 138,941,670,973,440 would take you about eleven million, forty-four thousand, seven hundred eighty-eight 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 138941670973440 cubic inches would be around 4316.1 feet tall.
Recreational maths with 138941670973440
- 138941670973440 backwards is 044379076149831
- The number of decimal digits it has is: 15
- The sum of 138941670973440's digits is 66
- 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 138941670973440 - Facts about the integer". Numbermatics.com. 2024. Web. 21 June 2024.
APA style:
Numbermatics. (2024). Number 138941670973440 - Facts about the integer. Retrieved 21 June 2024, from https://numbermatics.com/n/138941670973440/
Chicago style:
Numbermatics. 2024. "Number 138941670973440 - Facts about the integer". https://numbermatics.com/n/138941670973440/
The information we have on file for 138941670973440 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 138941670973440, math, Factors of 138941670973440, curriculum, school, college, exams, university, Prime factorization of 138941670973440, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, nine hundred forty-one billion, six hundred seventy million, nine hundred seventy-three thousand, four hundred forty.