138321551213015625
138,321,551,213,015,625 is an odd composite number composed of six prime numbers multiplied together.
What does the number 138321551213015625 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2100 divisors.
138321551213015625 is an odd composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred divisors.
Prime factorization of 138321551213015625:
34 × 56 × 74 × 13 × 612 × 941
(3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 13 × 61 × 61 × 941)See below for interesting mathematical facts about the number 138321551213015625 from the Numbermatics database.
Names of 138321551213015625
- Cardinal: 138321551213015625 can be written as One hundred thirty-eight quadrillion, three hundred twenty-one trillion, five hundred fifty-one billion, two hundred thirteen million, fifteen thousand, six hundred twenty-five.
Scientific notation
- Scientific notation: 1.38321551213015625 × 1017
Factors of 138321551213015625
Divisors of 138321551213015625
- Number of divisors d(n): 2100
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Complete list of divisors:
1 3 5 7 9 13 15 21 25 27 35 39 45 49 61 63 65 75 81 91 105 117 125 135 147 175 183 189 195 225 245 273 305 315 325 343 351 375 405 427 441 455 525 549 567 585 625 637 675 735 793 819 875 915 941 945 975 1029 1053 1125 1225 1281 1323 1365 1525 1575 1625 1647 1715 1755 1875 1911 2025 2135 2205 2275 2379 2401 2457 2625 2745 2823 2835 2925 2989 3087 3125 3185 3375 3675 3721 3843 3965 3969 4095 4375 4459 4575 4705 4725 4875 4941 5145 5265 5551 5625 5733 6125 6405 6587 6615 6825 7137 7203 7371 7625 7875 8125 8235 8469 8575 8775 8967 9261 9375 9555 10125 10675 11025 11163 11375 11529 11895 12005 12233 12285 13125 13377 13725 14115 14175 14625 14945 15435 15625 15925 16653 16875 17199 18375 18605 19215 19761 19825 19845 20475 20923 21411 21609 21875 22295 22875 23525 23625 24375 24705 25407 25725 26047 26325 26901 27755 27783 28125 28665 30625 31213 32025 32935 33075 33489 34125 34587 35685 36015 36699 36855 38125 38857 39375 40131 40625 41175 42345 42875 43875 44835 46109 46305 46875 47775 48373 49959 50625 51597 53375 55125 55815 56875 57401 57645 59283 59475 60025 61165 61425 62769 64233 64827 65625 66885 68625 70575 70875 73125 74725 76221 77175 78141 79625 80703 83265 84375 85631 85995 91875 93025 93639 96075 98805 99125 99225 100467 102375 104615 107055 108045 109375 110097 111475 114375 116571 117625 118125 120393 121875 123525 127035 128625 130235 131625 134505 138327 138775 138915 140625 143325 145119 146461 149877 153125 156065 160125 164675 165375 167445 170625 172203 172935 177849 178425 180075 182329 183495 184275 188307 190625 194285 194481 196875 200655 203125 205875 211725 214375 219375 224175 230545 231525 234423 238875 241865 242109 249795 253125 256893 257985 266875 271999 275625 279075 280917 284375 287005 288225 296415 297375 300125 301401 305825 307125 313845 321165 322763 324135 328125 330291 334425 338611 343125 349713 352875 354375 361179 365625 373625 381105 385875 390705 398125 401807 403515 414981 416325 421875 428155 429975 435357 439383 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68306938870625 72381764109375 73771493980275 78815698696875 80653965721875 83983941234375 85120954592625 87823207119375 90702656533125 101334469753125 104551437046875 107979353015625 112915552010625 122952489967125 131359497828125 134423276203125 141868257654375 146372011865625 146994209578125 151171094221875 158081772814875 168890782921875 174428185640625 188192586684375 204920816611875 217145292328125 221314481940825 236447096090625 243953353109375 251951823703125 263469621358125 304003409259375 313654311140625 323938059046875 341534694353125 368857469901375 394078493484375 403269828609375 425604772963125 439116035596875 453513282665625 506672348765625 564577760053125 614762449835625 709341288271875 731860059328125 755855471109375 790408864074375 940962933421875 1024604083059375 1106572409704125 1182235480453125 1317348106790625 1520017046296875 1707673471765625 1844287349506875 2128023864815625 2195580177984375 2267566413328125 2822888800265625 3073812249178125 3546706441359375 3952044320371875 5123020415296875 5532862048520625 6586740533953125 9221436747534375 10640119324078125 15369061245890625 19760221601859375 27664310242603125 46107183737671875 138321551213015625
- Sum of all divisors σ(n): 330246511655464404
- Sum of proper divisors (its aliquot sum) s(n): 191924960442448779
- 138321551213015625 is an abundant number, because the sum of its proper divisors (191924960442448779) is greater than itself. Its abundance is 53603409229433154
Bases of 138321551213015625
- Binary: 1111010110110101010110111110011001101010100110010010010012
- Hexadecimal: 0x1EB6AB7CCD53249
- Base-36: 11TYWBE3LZK9
Squares and roots of 138321551213015625
- 138321551213015625 squared (1383215512130156252) is 19132851529974904319844406494140625
- 138321551213015625 cubed (1383215512130156253) is 2646485702754448083287288862950859814212799072265625
-
The
square root of 138321551213015625 is 371916053.9866699879 -
The
cube root of 138321551213015625 is 517165.9819874887
Scales and comparisons
How big is 138321551213015625?- 138,321,551,213,015,625 seconds is equal to 4,398,197,471 years, 48 weeks, 6 hours, 33 minutes, 45 seconds.
-
To count from 1 to 138,321,551,213,015,625 would take you about thirteen billion, one hundred ninety-four million, five hundred ninety-two thousand, four hundred fifteen 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 138321551213015625 cubic inches would be around 43097.2 feet tall.
Recreational maths with 138321551213015625
- 138321551213015625 backwards is 526510312155123831
- The number of decimal digits it has is: 18
- The sum of 138321551213015625's digits is 54
- More coming soon!
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"Number 138321551213015625 - Facts about the integer". Numbermatics.com. 2024. Web. 4 June 2024.
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Numbermatics. (2024). Number 138321551213015625 - Facts about the integer. Retrieved 4 June 2024, from https://numbermatics.com/n/138321551213015625/
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The information we have on file for 138321551213015625 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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