138684924427104
138,684,924,427,104 is an even composite number composed of six prime numbers multiplied together.
138684924427104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 138684924427104:
25 × 32 × 114 × 31 × 61 × 17393
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 11 × 11 × 11 × 31 × 61 × 17393)See below for interesting mathematical facts about the number 138684924427104 from the Numbermatics database.
Names of 138684924427104
- Cardinal: 138684924427104 can be written as One hundred thirty-eight trillion, six hundred eighty-four billion, nine hundred twenty-four million, four hundred twenty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.38684924427104 × 1014
Factors of 138684924427104
Divisors of 138684924427104
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 61 62 66 72 88 93 96 99 121 122 124 132 144 176 183 186 198 242 244 248 264 279 288 341 352 363 366 372 396 484 488 496 528 549 558 671 682 726 732 744 792 968 976 992 1023 1056 1089 1098 1116 1331 1342 1364 1452 1464 1488 1584 1891 1936 1952 2013 2046 2178 2196 2232 2662 2684 2728 2904 2928 2976 3069 3168 3751 3782 3872 3993 4026 4092 4356 4392 4464 5324 5368 5456 5673 5808 5856 6039 6138 7381 7502 7564 7986 8052 8184 8712 8784 8928 10648 10736 10912 11253 11346 11616 11979 12078 12276 14641 14762 15004 15128 15972 16104 16368 17019 17393 17424 17568 20801 21296 21472 22143 22506 22692 23958 24156 24552 29282 29524 30008 30256 31944 32208 32736 33759 34038 34786 34848 41261 41602 42592 43923 44286 45012 45384 47916 48312 49104 52179 58564 59048 60016 60512 62403 63888 64416 66429 67518 68076 69572 81191 82522 83204 87846 88572 90024 90768 95832 96624 98208 104358 117128 118096 120032 123783 124806 127776 131769 132858 135036 136152 139144 156537 162382 165044 166408 175692 177144 180048 181536 187209 191323 191664 193248 208716 228811 234256 236192 243573 247566 249612 263538 265716 270072 272304 278288 313074 324764 330088 332816 351384 354288 360096 371349 374418 382646 383328 417432 453871 457622 468512 487146 495132 499224 527076 531432 539183 540144 544608 556576 573969 626148 649528 660176 665632 686433 702768 708576 730719 742698 748836 765292 834864 893101 907742 915244 974292 990264 998448 1054152 1060973 1062864 1078366 1080288 1147938 1252296 1299056 1320352 1361613 1372866 1405536 1461438 1485396 1497672 1530584 1617549 1669728 1721907 1786202 1815484 1830488 1948584 1980528 1996896 2059299 2104553 2108304 2121946 2125728 2156732 2295876 2504592 2516921 2598112 2679303 2723226 2745732 2922876 2970792 2995344 3061168 3182919 3235098 3443814 3572404 3630968 3660976 3897168 3961056 4084839 4118598 4209106 4216608 4243892 4313464 4591752 4852647 5009184 5033842 5358606 5446452 5491464 5845752 5931013 5941584 5990688 6122336 6313659 6365838 6470196 6887628 7144808 7261936 7321952 7550763 7794336 8037909 8169678 8237196 8418212 8487784 8626928 9183504 9548757 9705294 10067684 10717212 10892904 10982928 11670703 11691504 11862026 11883168 12627318 12731676 12940392 13775256 14289616 14523872 15101526 16075818 16339356 16474392 16836424 16975568 17253856 17793039 18367008 18940977 19097514 19410588 20135368 21434424 21785808 21965856 22652289 23150083 23341406 23383008 23724052 25254636 25463352 25880784 27550512 27686131 28579232 30203052 32151636 32678712 32890163 32948784 33672848 33951136 35012109 35586078 37881954 38195028 38821176 40270736 42868848 43571616 45304578 46300166 46682812 47448104 50509272 50926704 51761568 53379117 55101024 55372262 60406104 64303272 65241143 65357424 65780326 65897568 67345696 69450249 70024218 71172156 75763908 76390056 77642352 80541472 83058393 85737696 90609156 92600332 93365624 94896208 98670489 101018544 101853408 105036327 106758234 110744524 120812208 128377733 128606544 130482286 130714848 131560652 138900498 140048436 142344312 151527816 152780112 155284704 166116786 181218312 185200664 186731248 189792416 195723429 197340978 202037088 208350747 210072654 213516468 221489048 241624416 249175179 254650913 256755466 257213088 260964572 263121304 277800996 280096872 284688624 296011467 303055632 305560224 332233572 361791793 362436624 370401328 373462496 385133199 391446858 394681956 416701494 420145308 427032936 442978096 498350358 509301826 513510932 521929144 526242608 555601992 560193744 569377248 587170287 592022934 606111264 664467144 717652573 723583586 724873248 740802656 763952739 770266398 782893716 789363912 833402988 840290616 854065872 885956192 996700716 1018603652 1027021864 1043858288 1052485216 1085375379 1111203984 1120387488 1155399597 1174340574 1184045868 1328934288 1412155063 1435305146 1447167172 1527905478 1540532796 1565787432 1578727824 1666805976 1680581232 1708131744 1993401432 2037207304 2054043728 2087716576 2152957719 2170750758 2222407968 2291858217 2310799194 2348681148 2368091736 2657868576 2824310126 2870610292 2894334344 3055810956 3081065592 3131574864 3157455648 3256126137 3333611952 3361162464 3979709723 3986802864 4074414608 4108087456 4236465189 4305915438 4341501516 4583716434 4621598388 4697362296 4736183472 5648620252 5741220584 5788668688 6111621912 6162131184 6263149728 6458873157 6512252274 6667223904 7894178303 7959419446 7973605728 8148829216 8472930378 8611830876 8683003032 9167432868 9243196776 9394724592 9472366944 11297240504 11482441168 11577337376 11939129169 12223243824 12324262368 12709395567 12917746314 13024504548 15533705693 15788356606 15918838892 16945860756 17223661752 17366006064 18334865736 18486393552 18789449184 22594481008 22964882336 23682534909 23878258338 24446487648 25418791134 25835492628 26049009096 31067411386 31576713212 31837677784 33891721512 34447323504 34732012128 35817387507 36669731472 36972787104 43776806953 45188962016 46601117079 47365069818 47756516676 50837582268 51670985256 52098018192 62134822772 63153426424 63675355568 67783443024 68894647008 71047604727 71634775014 73339462944 87553613906 93202234158 94730139636 95513033352 101675164536 103341970512 104196036384 124269645544 126306852848 127350711136 131330420859 135566886048 139803351237 142095209454 143269550028 175107227812 186404468316 189460279272 191026066704 203350329072 206683941024 248539291088 252613705696 262660841718 279606702474 284190418908 286539100056 350214455624 372808936632 378920558544 382052133408 393991262577 406700658144 481544876483 497078582176 525321683436 559213404948 568380837816 573078200112 700428911248 745617873264 757841117088 787982525154 963089752966 1050643366872 1118426809896 1136761675632 1146156400224 1400857822496 1444634629449 1491235746528 1575965050308 1926179505932 2101286733744 2236853619792 2273523351264 2889269258898 3151930100616 3852359011864 4202573467488 4333903888347 4473707239584 5778538517796 6303860201232 7704718023728 8667807776694 11557077035592 12607720402464 15409436047456 17335615553388 23114154071184 34671231106776 46228308142368 69342462213552 138684924427104
- Sum of all divisors σ(n): 455182717691520
- Sum of proper divisors (its aliquot sum) s(n): 316497793264416
- 138684924427104 is an abundant number, because the sum of its proper divisors (316497793264416) is greater than itself. Its abundance is 177812868837312
Bases of 138684924427104
- Binary: 111111000100010000110011010011111111011011000002
- Hexadecimal: 0x7E2219A7FB60
- Base-36: 1D5QZ39JS0
Squares and roots of 138684924427104
- 138684924427104 squared (1386849244271042) is 19233508263351547742609826816
- 138684924427104 cubed (1386849244271043) is 2667397639970989697276714840689749456420864
-
The
square root of 138684924427104 is 11776456.3611938885 -
The
cube root of 138684924427104 is 51761.8454127097
Scales and comparisons
How big is 138684924427104?- 138,684,924,427,104 seconds is equal to 4,409,751 years, 32 weeks, 6 hours, 38 minutes, 24 seconds.
-
To count from 1 to 138,684,924,427,104 would take you about eleven million, twenty-four thousand, three hundred seventy-nine 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 138684924427104 cubic inches would be around 4313.5 feet tall.
Recreational maths with 138684924427104
- 138684924427104 backwards is 401724429486831
- The number of decimal digits it has is: 15
- The sum of 138684924427104's digits is 63
- More coming soon!
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