122145824047104
122,145,824,047,104 is an even composite number composed of six prime numbers multiplied together.
What does the number 122145824047104 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2736 divisors.
122145824047104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 122145824047104:
218 × 35 × 112 × 13 × 23 × 53
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 11 × 11 × 13 × 23 × 53)See below for interesting mathematical facts about the number 122145824047104 from the Numbermatics database.
Names of 122145824047104
- Cardinal: 122145824047104 can be written as One hundred twenty-two trillion, one hundred forty-five billion, eight hundred twenty-four million, forty-seven thousand, one hundred four.
Scientific notation
- Scientific notation: 1.22145824047104 × 1014
Factors of 122145824047104
Divisors of 122145824047104
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 13 16 18 22 23 24 26 27 32 33 36 39 44 46 48 52 53 54 64 66 69 72 78 81 88 92 96 99 104 106 108 117 121 128 132 138 143 144 156 159 162 176 184 192 198 207 208 212 216 234 242 243 253 256 264 276 286 288 297 299 312 318 324 351 352 363 368 384 396 414 416 424 429 432 468 477 484 486 506 512 528 552 572 576 583 594 598 621 624 636 648 689 702 704 726 736 759 768 792 828 832 848 858 864 891 897 936 954 968 972 1012 1024 1053 1056 1089 1104 1144 1152 1166 1188 1196 1219 1242 1248 1272 1287 1296 1378 1404 1408 1431 1452 1472 1518 1536 1573 1584 1656 1664 1696 1716 1728 1749 1782 1794 1863 1872 1908 1936 1944 2024 2048 2067 2106 2112 2178 2208 2277 2288 2304 2332 2376 2392 2438 2484 2496 2544 2574 2592 2673 2691 2756 2783 2808 2816 2862 2904 2944 3036 3072 3146 3159 3168 3267 3289 3312 3328 3392 3432 3456 3498 3564 3588 3657 3726 3744 3816 3861 3872 3888 4048 4096 4134 4212 4224 4293 4356 4416 4554 4576 4608 4664 4719 4752 4784 4876 4968 4992 5088 5148 5184 5247 5346 5382 5512 5566 5589 5616 5632 5724 5808 5888 6072 6144 6201 6292 6318 6336 6413 6534 6578 6624 6656 6784 6831 6864 6912 6996 7128 7176 7314 7452 7488 7579 7632 7722 7744 7776 8073 8096 8192 8268 8349 8424 8448 8586 8712 8832 9108 9152 9216 9328 9438 9504 9568 9752 9801 9867 9936 9984 10176 10296 10368 10494 10692 10764 10971 11024 11132 11178 11232 11264 11448 11583 11616 11776 12144 12288 12402 12584 12636 12672 12826 12879 13068 13156 13248 13312 13409 13568 13662 13728 13824 13992 14157 14256 14352 14628 14904 14976 15158 15264 15444 15488 15552 15741 15847 16146 16192 16384 16536 16698 16848 16896 17172 17424 17664 18216 18304 18432 18603 18656 18876 19008 19136 19239 19504 19602 19734 19872 19968 20352 20493 20592 20736 20988 21384 21528 21942 22048 22264 22356 22464 22528 22737 22896 23166 23232 23552 24219 24288 24576 24804 25047 25168 25272 25344 25652 25758 26136 26312 26496 26624 26818 27136 27324 27456 27648 27984 28314 28512 28704 29256 29403 29601 29808 29952 30316 30528 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15087181824 15130165248 15708053504 15772962816 15817900032 16004431872 16116350976 16312209408 16391012352 16700276736 17021435904 17136058368 17459380224 17671560192 17795137536 17881104384 18004985856 18351235584 18439888896 18568839168 18693881856 19046596608 19278065664 19332988928 19412877312 19697762304 19880505216 20116242432 20744875008 21030617088 21339242496 21687823872 21749612544 21854683136 21944991744 22159982592 22695247872 22848077824 23279173632 23562080256 23726850048 24006647808 24468314112 24586518528 25050415104 25532153856 25704087552 25883836416 26189070336 26507340288 26692706304 26821656576 27659833344 28040822784 28452323328 28917098496 28999483392 29546643456 29820757824 30174363648 31416107008 31545925632 31635800064 32008863744 32624418816 32782024704 33400553472 34042871808 34272116736 34918760448 35343120384 35590275072 36009971712 36702471168 36879777792 37137678336 37387763712 38556131328 38665977856 38825754624 39761010432 40232484864 41489750016 42061234176 42678484992 43375647744 43499225088 43889983488 44319965184 45390495744 45696155648 47124160512 47453700096 48013295616 48936628224 49173037056 50100830208 51064307712 51408175104 52378140672 53014680576 53385412608 53643313152 55319666688 56081645568 57834196992 57998966784 59093286912 59641515648 60348727296 62832214016 63091851264 64017727488 65248837632 65564049408 68085743616 68544233472 69837520896 70686240768 71180550144 72019943424 73404942336 73759555584 77112262656 77651509248 79522020864 80464969728 82979500032 84122468352 85356969984 86751295488 86998450176 88639930368 94248321024 94907400192 96026591232 97873256448 98346074112 100201660416 102128615424 102816350208 104756281344 106029361152 106770825216 110639333376 112163291136 115668393984 115997933568 119283031296 120697454592 125664428032 126183702528 128035454976 130497675264 136171487232 137088466944 141372481536 142361100288 144039886848 146809884672 147519111168 154224525312 159044041728 160929939456 165959000064 168244936704 173502590976 173996900352 177279860736 188496642048 192053182464 195746512896 196692148224 204257230848 205632700416 209512562688 212058722304 213541650432 221278666752 231336787968 238566062592 241394909184 251328856064 252367405056 256070909952 260995350528 282744963072 284722200576 288079773696 293619769344 295038222336 308449050624 318088083456 331918000128 336489873408 347005181952 347993800704 376993284096 384106364928 391493025792 408514461696 411265400832 424117444608 427083300864 442557333504 462673575936 477132125184 482789818368 502657712128 504734810112 521990701056 565489926144 576159547392 587239538688 590076444672 616898101248 636176166912 663836000256 694010363904 753986568192 768212729856 782986051584 848234889216 854166601728 885114667008 925347151872 954264250368 1009469620224 1043981402112 1130979852288 1152319094784 1174479077376 1233796202496 1272352333824 1327672000512 1388020727808 1507973136384 1565972103168 1696469778432 1770229334016 1850694303744 1908528500736 2261959704576 2304638189568 2348958154752 2544704667648 2655344001024 2776041455616 3131944206336 3392939556864 3701388607488 3817057001472 4523919409152 4697916309504 5089409335296 5310688002048 5552082911232 6785879113728 7634114002944 9395832619008 10178818670592 11104165822464 13571758227456 15268228005888 20357637341184 30536456011776 40715274682368 61072912023552 122145824047104
- Sum of all divisors σ(n): 460527057035136
- Sum of proper divisors (its aliquot sum) s(n): 338381232988032
- 122145824047104 is an abundant number, because the sum of its proper divisors (338381232988032) is greater than itself. Its abundance is 216235408940928
Bases of 122145824047104
- Binary: 110111100010111010010100111010000000000000000002
- Hexadecimal: 0x6F174A740000
- Base-36: 17AP0LXC00
Squares and roots of 122145824047104
- 122145824047104 squared (1221458240471042) is 14919602332146089789610786816
- 122145824047104 cubed (1221458240471043) is 1822367121315078773983405608378482886180864
-
The
square root of 122145824047104 is 11051960.1902605495 -
The
cube root of 122145824047104 is 49616.5094256075
Scales and comparisons
How big is 122145824047104?- 122,145,824,047,104 seconds is equal to 3,883,859 years, 19 weeks, 6 days, 8 hours, 38 minutes, 24 seconds.
-
To count from 1 to 122,145,824,047,104 would take you about nine million, seven hundred nine thousand, six hundred forty-eight 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 122145824047104 cubic inches would be around 4134.7 feet tall.
Recreational maths with 122145824047104
- 122145824047104 backwards is 401740428541221
- The number of decimal digits it has is: 15
- The sum of 122145824047104's digits is 45
- More coming soon!
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Cite this page
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"Number 122145824047104 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 122145824047104 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/122145824047104/
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Numbermatics. 2024. "Number 122145824047104 - Facts about the integer". https://numbermatics.com/n/122145824047104/
The information we have on file for 122145824047104 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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