138133772822387232
138,133,772,822,387,232 is an even composite number composed of five prime numbers multiplied together.
What does the number 138133772822387232 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1458 divisors.
138133772822387232 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, four hundred fifty-eight divisors.
Prime factorization of 138133772822387232:
25 × 38 × 112 × 192 × 38812
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 19 × 19 × 3881 × 3881)See below for interesting mathematical facts about the number 138133772822387232 from the Numbermatics database.
Names of 138133772822387232
- Cardinal: 138133772822387232 can be written as One hundred thirty-eight quadrillion, one hundred thirty-three trillion, seven hundred seventy-two billion, eight hundred twenty-two million, three hundred eighty-seven thousand, two hundred thirty-two.
Scientific notation
- Scientific notation: 1.38133772822387232 × 1017
Factors of 138133772822387232
Divisors of 138133772822387232
- Number of divisors d(n): 1458
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 32 33 36 38 44 48 54 57 66 72 76 81 88 96 99 108 114 121 132 144 152 162 171 176 198 209 216 228 242 243 264 288 297 304 324 342 352 361 363 396 418 432 456 484 486 513 528 594 608 627 648 684 722 726 729 792 836 864 891 912 968 972 1026 1056 1083 1089 1188 1254 1296 1368 1444 1452 1458 1539 1584 1672 1782 1824 1881 1936 1944 2052 2166 2178 2187 2299 2376 2508 2592 2673 2736 2888 2904 2916 3078 3168 3249 3267 3344 3564 3762 3872 3881 3888 3971 4104 4332 4356 4374 4598 4617 4752 5016 5346 5472 5643 5776 5808 5832 6156 6498 6534 6561 6688 6897 7128 7524 7762 7776 7942 8019 8208 8664 8712 8748 9196 9234 9504 9747 9801 10032 10692 11286 11552 11616 11643 11664 11913 12312 12996 13068 13122 13794 13851 14256 15048 15524 15884 16038 16416 16929 17328 17424 17496 18392 18468 19494 19602 20064 20691 21384 22572 23286 23328 23826 24057 24624 25992 26136 26244 27588 27702 28512 29241 29403 30096 31048 31768 32076 33858 34656 34848 34929 34992 35739 36784 36936 38988 39204 41382 41553 42691 42768 43681 45144 46572 47652 48114 49248 50787 51984 52272 52488 55176 55404 58482 58806 60192 62073 62096 63536 64152 67716 69858 69984 71478 72171 73568 73739 73872 77976 78408 82764 83106 85382 85536 87362 87723 88209 90288 93144 95304 96228 101574 103968 104544 104787 104976 107217 110352 110808 116964 117612 124146 124192 124659 127072 128073 128304 131043 135432 139716 142956 144342 147478 147744 152361 155952 156816 165528 166212 170764 174724 175446 176418 180576 186219 186288 190608 192456 203148 209574 209952 214434 220704 221217 221616 233928 235224 248292 249318 256146 256608 262086 263169 264627 270864 279432 285912 288684 294956 304722 311904 313632 314361 321651 331056 332424 341528 349448 350892 352836 372438 372576 381216 384219 384912 393129 406296 419148 428868 442434 443232 457083 467856 469601 470448 496584 498636 512292 524172 526338 529254 541728 558657 558864 571824 577368 589912 609444 628722 643302 662112 663651 664848 683056 698896 701784 705672 744876 768438 769824 786258 789507 793881 811129 812592 838296 857736 884868 914166 935712 939202 940896 943083 964953 993168 997272 1024584 1048344 1052676 1058508 1117314 1117728 1143648 1152657 1154736 1179387 1179824 1218888 1257444 1286604 1327302 1329696 1366112 1371249 1397792 1401041 1403568 1408803 1411344 1489752 1536876 1572516 1579014 1587762 1622258 1625184 1675971 1676592 1715472 1769736 1828332 1878404 1886166 1929906 1986336 1990953 1994544 2049168 2096688 2105352 2117016 2234628 2305314 2309472 2358774 2359648 2368521 2433387 2437776 2514888 2573208 2654604 2742498 2802082 2807136 2817606 2822688 2829249 2894859 2979504 3073752 3145032 3158028 3175524 3244516 3351942 3353184 3430944 3457971 3538161 3539472 3656664 3756808 3772332 3859812 3981906 3989088 4098336 4193376 4203123 4210704 4226409 4234032 4469256 4610628 4717548 4737042 4866774 4875552 5027913 5029776 5146416 5309208 5484996 5604164 5635212 5658498 5789718 5959008 5972859 6147504 6290064 6316056 6351048 6489032 6703884 6915942 7076322 7078944 7300161 7313328 7513616 7544664 7719624 7963812 8406246 8421408 8452818 8468064 8487747 8684577 8922419 8938512 9221256 9435096 9474084 9733548 10055826 10059552 10292832 10373913 10614483 10618416 10969992 11208328 11270424 11316996 11579436 11945718 12295008 12580128 12609369 12632112 12679227 12702096 12978064 13407768 13831884 14152644 14600322 14626656 15027232 15062161 15083739 15089328 15411451 15439248 15927624 16812492 16905636 16975494 17369154 17844838 17877024 17918577 18442512 18870192 18948168 19467096 20111652 20747826 21228966 21236832 21900483 21939984 22416656 22540848 22633992 23158872 23891436 25218738 25264224 25358454 25404192 25463241 25956128 26053731 26767257 26815536 27663768 28305288 29200644 30124322 30167478 30178656 30822902 30878496 31121739 31843449 31855248 33624984 33811272 33950988 34738308 35689676 35837154 36885024 37740384 37828107 37896336 38037681 38934192 40223304 41495652 42457932 43800966 43879968 44833312 45081696 45186483 45267984 46234353 46317744 47782872 50437476 50716908 50926482 52107462 53534514 53631072 53755731 55327536 56610576 58401288 60248644 60334956 61645804 62243478 63686898 63710496 65701449 67249968 67622544 67901976 69476616 71379352 71674308 75656214 75792672 76075362 77868384 80301771 80446608 82991304 84915864 87601932 90372966 90535968 92468706 92635488 93365217 95530347 95565744 100874952 101433816 101852964 104214924 107069028 107511462 110655072 113221152 113484321 114113043 116802576 120497288 120669912 123291608 124486956 127373796 131402898 134499936 135245088 135559449 135803952 138703059 138953232 142758704 143348616 151312428 152150724 160603542 160893216 161267193 165683771 165982608 169525961 169831728 175203864 180745932 184937412 186730434 191060694 191131488 197104347 201749904 202867632 203705928 208429848 214138056 215022924 226968642 228226086 233605152 240905313 240994576 241339824 246583216 248973912 254747592 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8612905151664 8696409772248 8898078640968 9179543648484 9689518295622 9972837544032 10014047616528 10526884074256 10570383595224 10628945277192 11219442237036 11595213029664 11842744583538 11864104854624 11891681544627 11957563436841 12239391531312 12919357727496 13769315472726 14093844793632 14171927036256 14534277443433 14959256316048 15021071424792 15790326111384 15855575392836 15943417915788 16829163355554 17225810303328 17392819544496 17764116875307 17796157281936 18359087296968 19379036591244 20028095233056 20653973209089 21053768148512 21140767190448 21257890554384 22438884474072 23685489167076 23783363089254 23915126873682 24478783062624 25243745033331 25838715454992 27538630945452 29068554886866 29918512632096 30042142849584 31580652222768 31711150785672 31886835831576 33658326711108 34785639088992 35528233750614 35592314563872 35675044633881 36718174593936 38758073182488 41307946418178 42281534380896 42515781108768 43602832330299 44877768948144 47370978334152 47566726178508 47830253747364 50487490066662 51677430909984 53292350625921 55077261890904 58137109773732 60084285699168 63161304445536 63422301571344 63773671663152 67316653422216 71056467501228 71350089267762 73436349187872 75731235099993 77516146364976 82615892836356 87205664660598 89755537896288 94741956668304 95133452357016 95660507494728 100974980133324 106584701251842 110154523781808 116274219547464 126844603142688 127547343326304 130808496990897 134633306844432 142112935002456 142700178535524 151462470199986 155032292729952 159877051877763 165231785672712 174411329321196 189483913336608 190266904714032 191321014989456 201949960266648 213169402503684 220309047563616 227193705299979 232548439094928 261616993981794 269266613688864 284225870004912 285400357071048 302924940399972 319754103755526 330463571345424 348822658642392 380533809428064 382642029978912 392425490972691 403899920533296 426338805007368 454387410599958 465096878189856 479631155633289 523233987963588 568451740009824 570800714142096 605849880799944 639508207511052 660927142690848 697645317284784 784850981945382 807799841066592 852677610014736 908774821199916 959262311266578 1046467975927176 1141601428284192 1211699761599888 1279016415022104 1395290634569568 1438893466899867 1569701963890764 1705355220029472 1817549642399832 1918524622533156 2092935951854352 2423399523199776 2558032830044208 2877786933799734 3139403927781528 3635099284799664 3837049245066312 4185871903708704 4316680400699601 5116065660088416 5755573867599468 6278807855563056 7270198569599328 7674098490132624 8633360801399202 11511147735198936 12557615711126112 15348196980265248 17266721602798404 23022295470397872 34533443205596808 46044590940795744 69066886411193616 138133772822387232
- Sum of all divisors σ(n): 473320811595032037
- Sum of proper divisors (its aliquot sum) s(n): 335187038772644805
- 138133772822387232 is an abundant number, because the sum of its proper divisors (335187038772644805) is greater than itself. Its abundance is 197053265950257573
Bases of 138133772822387232
- Binary: 1111010101011111111101111001111001001000000011010001000002
- Hexadecimal: 0x1EABFEF3C901A20
- Base-36: 11S4C36U4I00
Squares and roots of 138133772822387232
- 138133772822387232 squared (1381337728223872322) is 19080939194146885477918967356621824
- 138133772822387232 cubed (1381337728223872323) is 2635722119882070380951737420921818411350706710151168
-
The
square root of 138133772822387232 is 371663520.9734568931 -
The
cube root of 138133772822387232 is 516931.8498194417
Scales and comparisons
How big is 138133772822387232?- 138,133,772,822,387,232 seconds is equal to 4,392,226,699 years, 48 weeks, 5 days, 15 hours, 7 minutes, 12 seconds.
-
To count from 1 to 138,133,772,822,387,232 would take you about thirteen billion, one hundred seventy-six million, six hundred eighty thousand and ninety-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 138133772822387232 cubic inches would be around 43077.7 feet tall.
Recreational maths with 138133772822387232
- 138133772822387232 backwards is 232783228277331831
- 138133772822387232 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138133772822387232's digits is 72
- More coming soon!
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"Number 138133772822387232 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 138133772822387232 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/138133772822387232/
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Numbermatics. 2024. "Number 138133772822387232 - Facts about the integer". https://numbermatics.com/n/138133772822387232/
The information we have on file for 138133772822387232 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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