138221616425984
138,221,616,425,984 is an even composite number composed of five prime numbers multiplied together.
What does the number 138221616425984 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 792 divisors.
138221616425984 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred ninety-two divisors.
Prime factorization of 138221616425984:
210 × 72 × 132 × 473 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 13 × 13 × 47 × 47 × 47 × 157)See below for interesting mathematical facts about the number 138221616425984 from the Numbermatics database.
Names of 138221616425984
- Cardinal: 138221616425984 can be written as One hundred thirty-eight trillion, two hundred twenty-one billion, six hundred sixteen million, four hundred twenty-five thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.38221616425984 × 1014
Factors of 138221616425984
Divisors of 138221616425984
- Number of divisors d(n): 792
-
Complete list of divisors:
1 2 4 7 8 13 14 16 26 28 32 47 49 52 56 64 91 94 98 104 112 128 157 169 182 188 196 208 224 256 314 329 338 364 376 392 416 448 512 611 628 637 658 676 728 752 784 832 896 1024 1099 1183 1222 1256 1274 1316 1352 1456 1504 1568 1664 1792 2041 2198 2209 2303 2366 2444 2512 2548 2632 2704 2912 3008 3136 3328 3584 4082 4277 4396 4418 4606 4732 4888 5024 5096 5264 5408 5824 6016 6272 6656 7168 7379 7693 7943 8164 8281 8554 8792 8836 9212 9464 9776 10048 10192 10528 10816 11648 12032 12544 13312 14287 14758 15386 15463 15886 16328 16562 17108 17584 17672 18424 18928 19552 20096 20384 21056 21632 23296 24064 25088 26533 28574 28717 29516 29939 30772 30926 31772 32656 33124 34216 35168 35344 36848 37856 39104 40192 40768 42112 43264 46592 48128 50176 51653 53066 55601 57148 57434 59032 59878 61544 61852 63544 65312 66248 68432 70336 70688 73696 75712 78208 80384 81536 84224 86528 93184 95927 100009 103306 103823 106132 108241 111202 114296 114868 118064 119756 123088 123704 127088 130624 132496 136864 140672 141376 147392 151424 156416 160768 163072 168448 173056 185731 191854 200018 201019 206612 207646 212264 216482 222404 228592 229736 236128 239512 246176 247408 254176 261248 264992 273728 281344 282752 294784 302848 312832 326144 336896 346813 361571 371462 373321 383708 389207 400036 402038 413224 415292 424528 432964 444808 457184 459472 472256 479024 492352 494816 508352 522496 529984 547456 562688 565504 589568 605696 625664 652288 671489 693626 723142 726761 742924 746642 767416 778414 800072 804076 826448 830584 849056 865928 889616 914368 918944 944512 958048 984704 989632 1016704 1044992 1059968 1094912 1125376 1131008 1179136 1211392 1247051 1300117 1342978 1349699 1387252 1407133 1446284 1453522 1485848 1493284 1534832 1556828 1600144 1608152 1652896 1661168 1698112 1731856 1779232 1828736 1837888 1889024 1916096 1969408 1979264 2033408 2089984 2119936 2189824 2262016 2358272 2427691 2494102 2600234 2613247 2685956 2699398 2774504 2814266 2892568 2907044 2971696 2986568 3069664 3113656 3200288 3216304 3305792 3322336 3396224 3463712 3558464 3657472 3675776 3778048 3832192 3938816 3958528 4066816 4239872 4379648 4508569 4700423 4855382 4988204 5087327 5200468 5226494 5371912 5398796 5549008 5628532 5785136 5814088 5943392 5973136 6139328 6227312 6400576 6432608 6611584 6644672 6792448 6927424 7116928 7314944 7351552 7556096 7664384 7877632 7917056 8133632 8479744 8729357 9017138 9400846 9447893 9710764 9976408 10174654 10400936 10452988 10743824 10797592 11098016 11257064 11570272 11628176 11886784 11946272 12278656 12454624 12801152 12865216 13223168 13289344 13584896 13854848 14233856 14629888 14703104 15328768 15834112 16300211 16993837 17458714 17546087 18034276 18292729 18801692 18895786 19421528 19952816 20349308 20801872 20905976 21487648 21595184 22196032 22514128 23140544 23256352 23773568 23892544 24557312 24909248 25602304 25730432 26446336 26578688 27169792 27709696 28467712 29406208 30657536 31559983 32600422 33987674 34917428 35092174 36068552 36585458 37603384 37791572 38843056 39905632 40698616 41603744 41811952 42975296 43190368 44392064 45028256 46281088 46512704 47547136 47785088 49114624 49818496 51204608 51460864 52892672 53157376 55419392 56935424 58611397 61105499 63119966 65200844 66135251 67975348 69834856 70184348 72137104 73170916 75206768 75583144 77686112 79811264 81397232 83207488 83623904 85950592 86380736 88784128 90056512 92562176 93025408 95094272 95570176 98229248 99636992 102409216 102921728 106314752 110838784 114101477 117222794 122210998 122822609 126239932 130401688 132270502 135950696 139669712 140368696 144274208 146341832 150413536 151166288 155372224 159622528 162794464 166414976 167247808 171901184 172761472 177568256 180113024 185124352 186050816 190188544 191140352 199273984 205843456 211902743 220919881 228202954 234445588 244421996 245645218 252479864 260803376 264541004 271901392 279339424 280737392 288548416 292683664 300827072 302332576 310744448 319245056 325588928 332829952 334495616 343802368 345522944 355136512 360226048 370248704 372101632 382280704 398547968 410279779 423805486 441839762 456405908 468891176 488843992 491290436 504959728 521606752 529082008 543802784 558678848 561474784 577096832 585367328 601654144 604665152 621488896 638490112 651177856 665659904 668991232 687604736 691045888 720452096 744203264 798710339 820559558 847610972 859758263 883679524 912811816 937782352 977687984 982580872 1009919456 1043213504 1058164016 1087605568 1117357696 1122949568 1154193664 1170734656 1203308288 1209330304 1242977792 1276980224 1302355712 1331319808 1337982464 1382091776 1440904192 1483319201 1597420678 1641119116 1695221944 1719516526 1767359048 1825623632 1875564704 1955375968 1965161744 2019838912 2086427008 2116328032 2175211136 2234715392 2245899136 2308387328 2341469312 2406616576 2418660608 2485955584 2604711424 2675964928 2754735659 2871958453 2966638402 3194841356 3282238232 3390443888 3439033052 3534718096 3651247264 3751129408 3910751936 3930323488 4039677824 4172854016 4232656064 4350422272 4469430784 4491798272 4616774656 4682938624 4813233152 4837321216 5209422848 5509471318 5743916906 5933276804 6389682712 6564476464 6780887776 6878066104 7069436192 7302494528 7502258816 7821503872 7860646976 8079355648 8345708032 8465312128 8700844544 8938861568 8983596544 9365877248 9674642432 10383234407 11018942636 11487833812 11866553608 12779365424 13128952928 13561775552 13756132208 14138872384 14604989056 15004517632 15643007744 15721293952 16158711296 16691416064 16930624256 17401689088 17967193088 18731754496 19283149613 20766468814 22037885272 22975667624 23733107216 25558730848 26257905856 27123551104 27512264416 28277744768 29209978112 30009035264 31286015488 31442587904 32317422592 33861248512 38566299226 41532937628 44075770544 45951335248 47466214432 51117461696 52515811712 54247102208 55024528832 56555489536 58419956224 60018070528 62572030976 62885175808 67722497024 77132598452 83065875256 88151541088 91902670496 94932428864 102234923392 105031623424 108494204416 110049057664 113110979072 116839912448 125770351616 134982047291 154265196904 166131750512 176303082176 183805340992 189864857728 204469846784 210063246848 216988408832 220098115328 226221958144 269964094582 308530393808 332263501024 352606164352 367610681984 379729715456 408939693568 420126493696 440196230656 539928189164 617060787616 664527002048 705212328704 735221363968 759459430912 817879387136 880392461312 1079856378328 1234121575232 1329054004096 1410424657408 1470442727936 1518918861824 2159712756656 2468243150464 2658108008192 2820849314816 2940885455872 4319425513312 4936486300928 5316216016384 8638851026624 9872972601856 10632432032768 17277702053248 19745945203712 34555404106496 69110808212992 138221616425984
- Sum of all divisors σ(n): 357877492764480
- Sum of proper divisors (its aliquot sum) s(n): 219655876338496
- 138221616425984 is an abundant number, because the sum of its proper divisors (219655876338496) is greater than itself. Its abundance is 81434259912512
Bases of 138221616425984
- Binary: 111110110110110001110100101100011101100000000002
- Hexadecimal: 0x7DB63A58EC00
- Base-36: 1CZU4TN668
Squares and roots of 138221616425984
- 138221616425984 squared (1382216164259842) is 19105215247411849921750368256
- 138221616425984 cubed (1382216164259843) is 2640753733663621725687298926006330567163904
-
The
square root of 138221616425984 is 11756768.9620058453 -
The
cube root of 138221616425984 is 51704.1404331397
Scales and comparisons
How big is 138221616425984?- 138,221,616,425,984 seconds is equal to 4,395,019 years, 44 weeks, 3 days, 3 hours, 39 minutes, 44 seconds.
-
To count from 1 to 138,221,616,425,984 would take you about ten million, nine hundred eighty-seven thousand, five hundred forty-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 138221616425984 cubic inches would be around 4308.7 feet tall.
Recreational maths with 138221616425984
- 138221616425984 backwards is 489524616122831
- The number of decimal digits it has is: 15
- The sum of 138221616425984's digits is 62
- More coming soon!
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The information we have on file for 138221616425984 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!
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