122137261489152
122,137,261,489,152 is an even composite number composed of five prime numbers multiplied together.
What does the number 122137261489152 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2112 divisors.
122137261489152 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 122137261489152:
210 × 311 × 73 × 13 × 151
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 7 × 7 × 7 × 13 × 151)See below for interesting mathematical facts about the number 122137261489152 from the Numbermatics database.
Names of 122137261489152
- Cardinal: 122137261489152 can be written as One hundred twenty-two trillion, one hundred thirty-seven billion, two hundred sixty-one million, four hundred eighty-nine thousand, one hundred fifty-two.
Scientific notation
- Scientific notation: 1.22137261489152 × 1014
Factors of 122137261489152
Divisors of 122137261489152
- Number of divisors d(n): 2112
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 32 36 39 42 48 49 52 54 56 63 64 72 78 81 84 91 96 98 104 108 112 117 126 128 144 147 151 156 162 168 182 189 192 196 208 216 224 234 243 252 256 273 288 294 302 312 324 336 343 351 364 378 384 392 416 432 441 448 453 468 486 504 512 546 567 576 588 604 624 637 648 672 686 702 728 729 756 768 784 819 832 864 882 896 906 936 972 1008 1024 1029 1053 1057 1092 1134 1152 1176 1208 1248 1274 1296 1323 1344 1359 1372 1404 1456 1458 1512 1536 1568 1638 1664 1701 1728 1764 1792 1812 1872 1911 1944 1963 2016 2058 2106 2114 2184 2187 2268 2304 2352 2416 2457 2496 2548 2592 2646 2688 2718 2744 2808 2912 2916 3024 3072 3087 3136 3159 3171 3276 3328 3402 3456 3528 3584 3624 3744 3822 3888 3926 3969 4032 4077 4116 4212 4228 4368 4374 4459 4536 4608 4704 4832 4914 4992 5096 5103 5184 5292 5376 5436 5488 5616 5733 5824 5832 5889 6048 6174 6272 6318 6342 6552 6561 6656 6804 6912 7056 7168 7248 7371 7399 7488 7644 7776 7852 7938 8064 8154 8232 8424 8456 8736 8748 8918 9072 9216 9261 9408 9477 9513 9664 9828 9984 10192 10206 10368 10584 10752 10872 10976 11232 11466 11648 11664 11778 11907 12096 12231 12348 12544 12636 12684 13104 13122 13312 13377 13608 13741 13824 14112 14496 14742 14798 14976 15288 15309 15552 15704 15876 16128 16308 16464 16848 16912 17199 17472 17496 17667 17836 18144 18522 18816 18954 19026 19328 19656 19683 19968 20384 20412 20736 21168 21504 21744 21952 22113 22197 22464 22932 23296 23328 23556 23814 24192 24462 24696 25088 25272 25368 26208 26244 26754 27216 27482 27648 27783 28224 28431 28539 28992 29484 29596 29952 30576 30618 31104 31408 31752 32256 32616 32928 33696 33824 34398 34944 34992 35334 35672 35721 36288 36693 37044 37632 37908 38052 38656 39312 39366 39936 40131 40768 40824 41223 41472 42336 43488 43904 44226 44394 44928 45864 45927 46592 46656 47112 47628 48384 48924 49392 50176 50544 50736 51597 51793 52416 52488 53001 53508 54432 54964 55566 56448 56862 57078 57984 58968 59049 59192 59904 61152 61236 62208 62816 63504 64512 65232 65856 66339 66591 67392 67648 68796 69888 69984 70668 71344 71442 72576 73386 74088 75264 75816 76104 77312 78624 78732 80262 81536 81648 82446 82944 83349 84672 85293 85617 86976 87808 88452 88788 89856 91728 91854 93184 93312 94224 95256 96187 96768 97848 98784 101088 101472 103194 103586 104832 104976 106002 107016 107163 108864 109928 110079 111132 112896 113724 114156 115968 117936 118098 118384 119808 120393 122304 122472 123669 124416 125632 127008 130464 131712 132678 133182 134784 135296 137592 137781 139776 139968 141336 142688 142884 145152 146772 148176 150528 151632 152208 154624 154791 155379 157248 157464 159003 160524 163072 163296 164892 166698 169344 170586 171234 173952 175616 176904 177147 177576 179712 183456 183708 186624 188448 190512 192374 193536 195696 197568 199017 199773 202176 202944 206388 207172 209664 209952 212004 214032 214326 217728 219856 220158 222264 225792 227448 228312 231936 235872 236196 236768 240786 244608 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20356210248192 30534315372288 40712420496384 61068630744576 122137261489152
- Sum of all divisors σ(n): 462992228608000
- Sum of proper divisors (its aliquot sum) s(n): 340854967118848
- 122137261489152 is an abundant number, because the sum of its proper divisors (340854967118848) is greater than itself. Its abundance is 218717705629696
Bases of 122137261489152
- Binary: 110111100010101010011000001010110111100000000002
- Hexadecimal: 0x6F154C15BC00
- Base-36: 17AL300000
Squares and roots of 122137261489152
- 122137261489152 squared (1221372614891522) is 14917510644069492224613679104
- 122137261489152 cubed (1221372614891523) is 1821983898301923840542991809549724505079808
-
The
square root of 122137261489152 is 11051572.8061281847 -
The
cube root of 122137261489152 is 49615.3500077059
Scales and comparisons
How big is 122137261489152?- 122,137,261,489,152 seconds is equal to 3,883,587 years, 6 weeks, 1 day, 16 hours, 19 minutes, 12 seconds.
-
To count from 1 to 122,137,261,489,152 would take you about nine million, seven hundred eight thousand, nine hundred sixty-seven 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 122137261489152 cubic inches would be around 4134.6 feet tall.
Recreational maths with 122137261489152
- 122137261489152 backwards is 251984162731221
- 122137261489152 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 122137261489152's digits is 54
- More coming soon!
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MLA style:
"Number 122137261489152 - Facts about the integer". Numbermatics.com. 2024. Web. 25 May 2024.
APA style:
Numbermatics. (2024). Number 122137261489152 - Facts about the integer. Retrieved 25 May 2024, from https://numbermatics.com/n/122137261489152/
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The information we have on file for 122137261489152 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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