138864080695680
138,864,080,695,680 is an even composite number composed of six prime numbers multiplied together.
What does the number 138864080695680 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1152 divisors.
138864080695680 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 138864080695680:
27 × 33 × 5 × 172 × 2572 × 421
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 17 × 17 × 257 × 257 × 421)See below for interesting mathematical facts about the number 138864080695680 from the Numbermatics database.
Names of 138864080695680
- Cardinal: 138864080695680 can be written as One hundred thirty-eight trillion, eight hundred sixty-four billion, eighty million, six hundred ninety-five thousand, six hundred eighty.
Scientific notation
- Scientific notation: 1.3886408069568 × 1014
Factors of 138864080695680
Divisors of 138864080695680
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 64 68 72 80 85 90 96 102 108 120 128 135 136 144 153 160 170 180 192 204 216 240 255 257 270 272 288 289 306 320 340 360 384 408 421 432 459 480 510 514 540 544 576 578 612 640 680 720 765 771 816 842 864 867 918 960 1020 1028 1080 1088 1152 1156 1224 1263 1285 1360 1440 1445 1530 1542 1632 1684 1728 1734 1836 1920 2040 2056 2105 2160 2176 2295 2312 2313 2448 2526 2570 2601 2720 2880 2890 3060 3084 3264 3368 3456 3468 3672 3789 3855 4080 4112 4210 4320 4335 4369 4590 4624 4626 4896 5052 5140 5202 5440 5760 5780 6120 6168 6315 6528 6736 6936 6939 7157 7344 7578 7710 7803 8160 8224 8420 8640 8670 8738 9180 9248 9252 9792 10104 10280 10404 10880 11367 11560 11565 12240 12336 12630 13005 13107 13472 13872 13878 14314 14688 15156 15420 15606 16320 16448 16840 17280 17340 17476 18360 18496 18504 18945 19584 20208 20560 20808 21471 21845 22734 23120 23130 24480 24672 25260 26010 26214 26944 27744 27756 28628 29376 30312 30840 31212 32640 32896 33680 34680 34695 34952 35785 36720 36992 37008 37890 39015 39321 40416 41120 41616 42942 43690 45468 46240 46260 48960 49344 50520 52020 52428 53888 55488 55512 56835 57256 58752 60624 61680 62424 64413 65535 66049 67360 69360 69390 69904 71570 73440 74016 74273 75780 78030 78642 80832 82240 83232 85884 87380 90936 92480 92520 97920 98688 101040 104040 104856 107355 108197 110976 111024 113670 114512 117963 121248 121669 123360 124848 128826 131070 132098 134720 138720 138780 139808 143140 146880 148032 148546 151560 156060 157284 161664 164480 166464 171768 174760 181872 184960 185040 193239 196605 198147 202080 208080 209712 214710 216394 222048 222819 227340 229024 235926 242496 243338 246720 249696 257652 262140 264196 269440 277440 277560 279616 286280 293760 296064 297092 303120 312120 314568 322065 324591 330245 332928 343536 349520 363744 365007 370080 371365 386478 393210 396294 404160 416160 419424 429420 432788 444096 445638 454680 458048 471852 484992 486676 493440 499392 515304 524280 528392 540985 554880 555120 559232 572560 589815 594184 594441 606240 608345 624240 629136 644130 649182 660490 668457 687072 699040 727488 730014 740160 742730 772956 786420 792588 808320 832320 838848 858840 865576 888192 891276 909360 916096 943704 966195 973352 973773 990735 998784 1030608 1048560 1056784 1081970 1095021 1110240 1114095 1122833 1145120 1179630 1188368 1188882 1212480 1216690 1248480 1258272 1288260 1298364 1320980 1336914 1374144 1398080 1454976 1460028 1480320 1485460 1545912 1572840 1585176 1622955 1664640 1677696 1717680 1731152 1782552 1783323 1818720 1825035 1839349 1887408 1932390 1946704 1947546 1981470 2005371 2061216 2097120 2113568 2163940 2190042 2220480 2228190 2245666 2290240 2359260 2376736 2377764 2424960 2433380 2496960 2516544 2576520 2596728 2641960 2673828 2748288 2796160 2920056 2921319 2970920 2972205 3091824 3145680 3170352 3245910 3285063 3342285 3368499 3435360 3462304 3565104 3566646 3637440 3650070 3678698 3774816 3864780 3893408 3895092 3962940 4010742 4122432 4194240 4227136 4327880 4380084 4440960 4456380 4491332 4580480 4718520 4753472 4755528 4866760 4868865 4993920 5033088 5153040 5193456 5283920 5347656 5475105 5518047 5614165 5840112 5842638 5941840 5944410 6183648 6291360 6340704 6491820 6570126 6684570 6736998 6870720 6924608 7130208 7133292 7274880 7300140 7357396 7549632 7729560 7786816 7790184 7925880 8021484 8244864 8388480 8454272 8655760 8760168 8912760 8916615 8982664 9196745 9437040 9506944 9511056 9733520 9737730 10026855 10105497 10306080 10386912 10567840 10695312 10950210 11036094 11228330 11680224 11685276 11883680 11888820 12367296 12582720 12681408 12983640 13140252 13369140 13473996 13741440 13849216 14260416 14266584 14600280 14606595 14714792 15099264 15459120 15573632 15580368 15851760 16042968 16425315 16554141 16842495 17311520 17520336 17825520 17833230 17965328 18393490 18874080 19022112 19088161 19467040 19475460 20053710 20210994 20612160 20773824 21135680 21390624 21900420 22072188 22456660 23360448 23370552 23767360 23777640 24734592 25165440 25362816 25967280 26280504 26738280 26947992 27590235 27806629 28520832 28533168 29200560 29213190 29429584 30316491 30918240 31160736 31268933 31703520 32085936 32850630 33108282 33684990 34623040 35040672 35651040 35666460 35930656 36786980 37748160 38044224 38176322 38934080 38950920 40107420 40421988 41224320 41547648 42271360 42781248 43800840 44144376 44913320 46720896 46741104 47534720 47555280 49662423 50527485 51934560 52561008 53476560 53895984 55180470 55613258 57066336 57264483 58401120 58426380 58859168 60632982 61836480 62321472 62537866 63407040 64171872 65701260 66216564 67369980 69246080 70081344 71302080 71332920 71861312 73573960 75496320 76088448 76352644 77868160 77901840 80214840 80843976 82770705 83419887 85562496 87601680 88288752 89826640 93482208 93806799 95110560 95440805 99324846 101054970 103869120 105122016 106953120 107791968 110360940 111226516 114132672 114528966 116802240 116852760 117718336 121265964 123672960 124642944 125075732 126814080 128343744 131402520 132433128 134739960 139033145 140162688 142604160 142665840 143722624 147147920 151582455 152705288 155803680 156344665 160429680 161687952 165541410 166839774 171793449 175203360 176577504 179653280 186964416 187613598 190221120 190881610 198649692 202109940 207738240 210244032 213906240 215583936 220721880 222453032 228265344 229057932 233604480 233705520 235436672 242531928 248312115 250151464 250259661 256687488 262805040 264866256 269479920 278066290 281420397 285331680 286322415 294295840 303164910 305410576 311607360 312689330 320859360 323375904 331082820 333679548 343586898 350406720 353155008 359306560 373928832 375227196 380442240 381763220 397299384 404219880 417099435 420488064 427812480 431167872 441443760 444906064 458115864 467411040 469033995 472712693 485063856 496624230 500302928 500519322 515380347 525610080 529732512 538959840 556132580 562840794 570663360 572644830 588591680 606329820 610821152 623214720 625378660 641718720 646751808 662165640 667359096 687173796 700813440 706310016 718613120 750454392 750778983 763526440 794598768 808439760 834198870 844261191 858967245 882887520 889812128 916231728 934822080 938067990 945425386 970127712 993248460 1000605856 1001038644 1030760694 1051220160 1059465024 1077919680 1112265160 1125681588 1141326720 1145289660 1177183360 1212659640 1221642304 1250757320 1251298305 1283437440 1293503616 1324331280 1334718192 1374347592 1407101985 1418138079 1500908784 1501557966 1527052880 1589197536 1616879520 1668397740 1688522382 1717934490 1765775040 1779624256 1832463456 1869644160 1876135980 1890850772 1940255424 1986496920 2001211712 2002077288 2061521388 2102440320 2118930048 2155839360 2224530320 2251363176 2290579320 2363563465 2425319280 2443284608 2501514640 2502596610 2576901735 2648662560 2669436384 2748695184 2814203970 2836276158 3001817568 3003115932 3054105760 3178395072 3233759040 3336795480 3377044764 3435868980 3531550080 3559248512 3664926912 3752271960 3753894915 3781701544 3880510848 3972993840 4002423424 4004154576 4123042776 4221305955 4254414237 4449060640 4502726352 4581158640 4727126930 4850638560 5003029280 5005193220 5153803470 5297325120 5338872768 5497390368 5628407940 5672552316 6003635136 6006231864 6108211520 6356790144 6467518080 6673590960 6754089528 6871737960 7090690395 7329853824 7504543920 7507789830 7563403088 7945987680 8008309152 8036115781 8246085552 8442611910 8508828474 8898121280 9005452704 9162317280 9454253860 9701277120 10006058560 10010386440 10307606940 10594650240 10677745536 10994780736 11256815880 11345104632 12007270272 12012463728 12216423040 12763242711 13347181920 13508179056 13743475920 14181380790 15009087840 15015579660 15126806176 15891975360 16016618304 16072231562 16492171104 16885223820 17017656948 17796242560 18010905408 18324634560 18908507720 19402554240 20012117120 20020772880 20615213880 21272071185 21989561472 22513631760 22690209264 24024927456 24108347343 25526485422 26694363840 27016358112 27486951840 28362761580 30018175680 30031159320 30253612352 31783950720 32033236608 32144463124 32984342208 33770447640 34035313896 36021810816 36649269120 37817015440 40041545760 40180578905 41230427760 42544142370 45027263520 45380418528 48049854912 48216694686 51052970844 53388727680 54032716224 54973903680 56725523160 60036351360 60062318640 60507224704 63816213555 64288926248 65968684416 67540895280 68070627792 72325042029 75634030880 80083091520 80361157810 82460855520 85088284740 90054527040 90760837056 96099709824 96433389372 102105941688 108065432448 109947807360 113451046320 120124637280 120541736715 127632427110 128577852496 135081790560 136141255584 144650084058 151268061760 160166183040 160722315620 164921711040 170176569480 180109054080 181521674112 192866778744 204211883376 216975126087 226902092640 240249274560 241083473430 255264854220 257155704992 270163581120 272282511168 289300168116 302536123520 321444631240 329843422080 340353138960 361625210145 385733557488 408423766752 433950252174 453804185280 480498549120 482166946860 510529708440 514311409984 540327162240 544565022336 578600336232 642889262480 680706277920 723250420290 771467114976 816847533504 867900504348 907608370560 964333893720 1021059416880 1028622819968 1084875630435 1157200672464 1285778524960 1361412555840 1446500840580 1542934229952 1633695067008 1735801008696 1928667787440 2042118833760 2169751260870 2314401344928 2571557049920 2722825111680 2893001681160 3085868459904 3471602017392 3857335574880 4084237667520 4339502521740 4628802689856 5143114099840 5786003362320 6943204034784 7714671149760 8168475335040 8679005043480 9257605379712 11572006724640 13886408069568 15429342299520 17358010086960 23144013449280 27772816139136 34716020173920 46288026898560 69432040347840 138864080695680
- Sum of all divisors σ(n): 525728629173600
- Sum of proper divisors (its aliquot sum) s(n): 386864548477920
- 138864080695680 is an abundant number, because the sum of its proper divisors (386864548477920) is greater than itself. Its abundance is 248000467782240
Bases of 138864080695680
- Binary: 111111001001011110100000011001110110001100000002
- Hexadecimal: 0x7E4BD033B180
- Base-36: 1D81A0A5C0
Squares and roots of 138864080695680
- 138864080695680 squared (1388640806956802) is 19283232907456326832770662400
- 138864080695680 cubed (1388640806956803) is 2677748410534607434871229336188486418432000
-
The
square root of 138864080695680 is 11784060.4502726479 -
The
cube root of 138864080695680 is 51784.1248559879
Scales and comparisons
How big is 138864080695680?- 138,864,080,695,680 seconds is equal to 4,415,448 years, 12 weeks, 4 hours, 48 minutes.
-
To count from 1 to 138,864,080,695,680 would take you about eleven million, thirty-eight thousand, six hundred twenty 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 138864080695680 cubic inches would be around 4315.3 feet tall.
Recreational maths with 138864080695680
- 138864080695680 backwards is 086596080468831
- 138864080695680 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138864080695680's digits is 72
- 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 138864080695680 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
APA style:
Numbermatics. (2024). Number 138864080695680 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/138864080695680/
Chicago style:
Numbermatics. 2024. "Number 138864080695680 - Facts about the integer". https://numbermatics.com/n/138864080695680/
The information we have on file for 138864080695680 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 138864080695680, math, Factors of 138864080695680, curriculum, school, college, exams, university, Prime factorization of 138864080695680, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-eight trillion, eight hundred sixty-four billion, eighty million, six hundred ninety-five thousand, six hundred eighty.