138201615442432000
138,201,615,442,432,000 is an even composite number composed of four prime numbers multiplied together.
What does the number 138201615442432000 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 624 divisors.
138201615442432000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 138201615442432000:
212 × 53 × 413 × 19792
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 41 × 41 × 41 × 1979 × 1979)See below for interesting mathematical facts about the number 138201615442432000 from the Numbermatics database.
Names of 138201615442432000
- Cardinal: 138201615442432000 can be written as One hundred thirty-eight quadrillion, two hundred one trillion, six hundred fifteen billion, four hundred forty-two million, four hundred thirty-two thousand.
Scientific notation
- Scientific notation: 1.38201615442432 × 1017
Factors of 138201615442432000
Divisors of 138201615442432000
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 41 50 64 80 82 100 125 128 160 164 200 205 250 256 320 328 400 410 500 512 640 656 800 820 1000 1024 1025 1280 1312 1600 1640 1681 1979 2000 2048 2050 2560 2624 3200 3280 3362 3958 4000 4096 4100 5120 5125 5248 6400 6560 6724 7916 8000 8200 8405 9895 10240 10250 10496 12800 13120 13448 15832 16000 16400 16810 19790 20480 20500 20992 25600 26240 26896 31664 32000 32800 33620 39580 41000 41984 42025 49475 51200 52480 53792 63328 64000 65600 67240 68921 79160 81139 82000 83968 84050 98950 102400 104960 107584 126656 128000 131200 134480 137842 158320 162278 164000 167936 168100 197900 209920 210125 215168 247375 253312 256000 262400 268960 275684 316640 324556 328000 336200 344605 395800 405695 419840 420250 430336 494750 506624 512000 524800 537920 551368 633280 649112 656000 672400 689210 791600 811390 839680 840500 860672 989500 1013248 1049600 1075840 1102736 1266560 1298224 1312000 1344800 1378420 1583200 1622780 1681000 1721344 1723025 1979000 2026496 2028475 2099200 2151680 2205472 2533120 2596448 2624000 2689600 2756840 3166400 3245560 3326699 3362000 3442688 3446050 3916441 3958000 4052992 4056950 4198400 4303360 4410944 5066240 5192896 5248000 5379200 5513680 6332800 6491120 6653398 6724000 6885376 6892100 7832882 7916000 8105984 8113900 8606720 8615125 8821888 10132480 10142375 10385792 10496000 10758400 11027360 12665600 12982240 13306796 13448000 13784200 15665764 15832000 16227800 16633495 17213440 17230250 17643776 19582205 20264960 20284750 20771584 20992000 21516800 22054720 25331200 25964480 26613592 26896000 27568400 31331528 31664000 32455600 33266990 34426880 34460500 35287552 39164410 40529920 40569500 41543168 43033600 44109440 50662400 51928960 53227184 53792000 55136800 62663056 63328000 64911200 66533980 68921000 70575104 78328820 81139000 83086336 83167475 86067200 88218880 97911025 101324800 103857920 106454368 107584000 110273600 125326112 126656000 129822400 133067960 136394659 137842000 141150208 156657640 160574081 162278000 166172672 166334950 172134400 176437760 195822050 202649600 207715840 212908736 215168000 220547200 250652224 253312000 259644800 266135920 272789318 275684000 282300416 313315280 321148162 324556000 332345344 332669900 352875520 391644100 415431680 415837375 425817472 430336000 441094400 489555125 501304448 506624000 519289600 532271840 545578636 551368000 626630560 642296324 649112000 665339800 681973295 705751040 783288200 802870405 830863360 831674750 851634944 860672000 882188800 979110250 1002608896 1013248000 1038579200 1064543680 1091157272 1102736000 1253261120 1284592648 1298224000 1330679600 1363946590 1411502080 1566576400 1605740810 1661726720 1663349500 1703269888 1764377600 1958220500 2005217792 2077158400 2129087360 2182314544 2205472000 2506522240 2569185296 2596448000 2661359200 2727893180 3133152800 3211481620 3326699000 3406539776 3409866475 3528755200 3916441000 4010435584 4014352025 4154316800 4258174720 4364629088 4410944000 5013044480 5138370592 5192896000 5322718400 5455786360 6266305600 6422963240 6583537321 6653398000 6813079552 6819732950 7057510400 7832882000 8020871168 8028704050 8308633600 8516349440 8729258176 8821888000 10026088960 10276741184 10385792000 10645436800 10911572720 12532611200 12845926480 13167074642 13306796000 13626159104 13639465900 15665764000 16041742336 16057408100 17032698880 17049332375 17458516352 17643776000 20052177920 20071760125 20553482368 20771584000 21290873600 21823145440 25065222400 25691852960 26334149284 26613592000 27278931800 31331528000 32114816200 32917686605 34065397760 34098664750 34917032704 35287552000 40104355840 40143520250 41106964736 41543168000 42581747200 43646290880 50130444800 51383705920 52668298568 53227184000 54557863600 62663056000 64229632400 65835373210 68130795520 68197329500 69834065408 80208711680 80287040500 82213929472 85163494400 87292581760 100260889600 102767411840 105336597136 106454368000 109115727200 125326112000 128459264800 131670746420 136394659000 139668130816 160574081000 164427858944 164588433025 170326988800 174585163520 200521779200 205534823680 210673194272 212908736000 218231454400 250652224000 256918529600 263341492840 269925030161 272789318000 279336261632 321148162000 328855717888 329176866050 340653977600 349170327040 401043558400 411069647360 421346388544 425817472000 436462908800 501304448000 513837059200 526682985680 539850060322 545578636000 558672523264 642296324000 657711435776 658353732100 698340654080 822139294720 822942165125 842692777088 851634944000 872925817600 1002608896000 1027674118400 1053365971360 1079700120644 1091157272000 1284592648000 1316707464200 1349625150805 1396681308160 1644278589440 1645884330250 1685385554176 1703269888000 1745851635200 2005217792000 2055348236800 2106731942720 2159400241288 2182314544000 2569185296000 2633414928400 2699250301610 2793362616320 3288557178880 3291768660500 3370771108352 3491703270400 4110696473600 4213463885440 4318800482576 4364629088000 5138370592000 5266829856800 5398500603220 6583537321000 6741542216704 6748125754025 6983406540800 8221392947200 8426927770880 8637600965152 8729258176000 10276741184000 10533659713600 10797001206440 13167074642000 13483084433408 13496251508050 13966813081600 16442785894400 16853855541760 17275201930304 17458516352000 20553482368000 21067319427200 21594002412880 26334149284000 26966168866816 26992503016100 33707711083520 33740628770125 34550403860608 34917032704000 41106964736000 42134638854400 43188004825760 52668298568000 53985006032200 67415422167040 67481257540250 69100807721216 69834065408000 82213929472000 84269277708800 86376009651520 105336597136000 107970012064400 134830844334080 134962515080500 138201615442432 168538555417600 172752019303040 210673194272000 215940024128800 269925030161000 276403230884864 337077110835200 345504038606080 421346388544000 431880048257600 539850060322000 552806461769728 674154221670400 691008077212160 842692777088000 863760096515200 1079700120644000 1105612923539456 1382016154424320 1685385554176000 1727520193030400 2159400241288000 2764032308848640 3370771108352000 3455040386060800 4318800482576000 5528064617697280 6910080772121600 8637600965152000 13820161544243200 17275201930304000 27640323088486400 34550403860608000 69100807721216000 138201615442432000
- Sum of all divisors σ(n): 353710458694114704
- Sum of proper divisors (its aliquot sum) s(n): 215508843251682704
- 138201615442432000 is an abundant number, because the sum of its proper divisors (215508843251682704) is greater than itself. Its abundance is 77307227809250704
Bases of 138201615442432000
- Binary: 1111010101111110110100011000100111101010011010000000000002
- Hexadecimal: 0x1EAFDA313D4D000
- Base-36: 11SSDTNQGDTS
Squares and roots of 138201615442432000
- 138201615442432000 squared (1382016154424320002) is 19099686510897859051106074624000000
- 138201615442432000 cubed (1382016154424320003) is 2639607530250111723294788625046280568045568000000000
-
The
square root of 138201615442432000 is 371754778.6410176059 -
The
cube root of 138201615442432000 is 517016.4641044001
Scales and comparisons
How big is 138201615442432000?- 138,201,615,442,432,000 seconds is equal to 4,394,383,885 years, 21 weeks, 9 hours, 46 minutes, 40 seconds.
-
To count from 1 to 138,201,615,442,432,000 would take you about thirteen billion, one hundred eighty-three million, one hundred fifty-one thousand, six hundred fifty-six 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 138201615442432000 cubic inches would be around 43084.7 feet tall.
Recreational maths with 138201615442432000
- 138201615442432000 backwards is 000234244516102831
- The number of decimal digits it has is: 18
- The sum of 138201615442432000's digits is 46
- More coming soon!
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The information we have on file for 138201615442432000 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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