137798786055168
137,798,786,055,168 is an even composite number composed of six prime numbers multiplied together.
What does the number 137798786055168 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1980 divisors.
137798786055168 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred eighty divisors.
Prime factorization of 137798786055168:
210 × 34 × 7 × 232 × 712 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 23 × 23 × 71 × 71 × 89)See below for interesting mathematical facts about the number 137798786055168 from the Numbermatics database.
Names of 137798786055168
- Cardinal: 137798786055168 can be written as One hundred thirty-seven trillion, seven hundred ninety-eight billion, seven hundred eighty-six million, fifty-five thousand, one hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37798786055168 × 1014
Factors of 137798786055168
Divisors of 137798786055168
- Number of divisors d(n): 1980
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 54 56 63 64 69 71 72 81 84 89 92 96 108 112 126 128 138 142 144 161 162 168 178 184 189 192 207 213 216 224 252 256 267 276 284 288 322 324 336 356 368 378 384 414 426 432 448 483 497 504 512 529 534 552 567 568 576 621 623 639 644 648 672 712 736 756 768 801 828 852 864 896 966 994 1008 1024 1058 1068 1104 1134 1136 1152 1242 1246 1278 1288 1296 1344 1424 1449 1472 1491 1512 1536 1587 1602 1633 1656 1704 1728 1792 1863 1869 1917 1932 1988 2016 2047 2116 2136 2208 2268 2272 2304 2403 2484 2492 2556 2576 2592 2688 2848 2898 2944 2982 3024 3072 3174 3204 3266 3312 3408 3456 3584 3703 3726 3738 3834 3864 3976 4032 4094 4232 4272 4347 4416 4473 4536 4544 4608 4761 4806 4899 4968 4984 5041 5112 5152 5184 5376 5607 5696 5751 5796 5888 5964 6048 6141 6319 6348 6408 6532 6624 6816 6912 7168 7209 7406 7452 7476 7668 7728 7952 8064 8188 8464 8544 8694 8832 8946 9072 9088 9216 9522 9612 9798 9936 9968 10082 10224 10304 10368 10752 11109 11214 11392 11431 11502 11592 11776 11928 12096 12282 12638 12696 12816 13041 13064 13248 13419 13632 13824 14283 14329 14418 14697 14812 14904 14952 15123 15336 15456 15904 16128 16376 16821 16928 17088 17388 17664 17892 18144 18176 18423 18957 19044 19224 19596 19872 19936 20164 20448 20608 20736 21504 22218 22428 22784 22862 23004 23184 23552 23856 24192 24564 25276 25392 25632 26082 26128 26496 26838 27264 27648 28566 28658 28836 29394 29624 29808 29904 30246 30672 30912 31808 32256 32752 33327 33642 33856 34176 34293 34776 35287 35328 35784 36288 36352 36846 37559 37914 38088 38448 39192 39744 39872 40257 40328 40896 41216 41472 42849 42987 44091 44233 44436 44856 45369 45568 45724 46008 46368 47081 47712 48384 49128 50463 50552 50784 51264 52164 52256 52992 53676 54528 55269 56871 57132 57316 57672 58788 59248 59616 59808 60492 61344 61824 63616 64512 65504 66654 67284 67712 68352 68586 69552 70574 70656 71568 72576 72704 73692 75118 75828 76176 76896 78384 79488 79744 80514 80656 81792 82432 82944 85698 85974 88182 88466 88872 89712 90738 91136 91448 92016 92736 94162 95424 96768 98256 99981 100926 101104 101568 102528 102879 104328 104512 105861 105984 107352 109056 110538 112677 113742 114264 114632 115344 115943 117576 118496 119232 119616 120984 122688 123648 127232 128961 131008 132273 132699 133308 134568 135424 136107 136704 137172 139104 141148 141243 143136 145152 145337 147384 150236 151656 152352 153792 156768 158976 159488 161028 161312 163584 164864 165807 170613 171396 171948 176364 176932 177744 179424 181476 182896 184032 185472 188324 190848 193536 196512 199962 201852 202208 203136 205056 205758 208656 209024 211722 211968 214704 218112 221076 225354 227484 228528 229264 230688 231886 235152 236992 238464 239232 241968 245376 247296 254464 257922 262016 262913 264546 265398 266616 269136 270848 272214 273408 274344 278208 282296 282486 286272 290304 290674 294768 299943 300472 303312 304704 307584 308637 313536 317583 317952 318976 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- Sum of all divisors σ(n): 504239232918960
- Sum of proper divisors (its aliquot sum) s(n): 366440446863792
- 137798786055168 is an abundant number, because the sum of its proper divisors (366440446863792) is greater than itself. Its abundance is 228641660808624
Bases of 137798786055168
- Binary: 111110101010011110001111011000101111100000000002
- Hexadecimal: 0x7D53C7B17C00
- Base-36: 1CUFVZCW00
Squares and roots of 137798786055168
- 137798786055168 squared (1377987860551682) is 18988505438277962855139508224
- 137798786055168 cubed (1377987860551683) is 2616592998396659080010236748696552453701632
-
The
square root of 137798786055168 is 11738772.7661441679 -
The
cube root of 137798786055168 is 51651.3642900463
Scales and comparisons
How big is 137798786055168?- 137,798,786,055,168 seconds is equal to 4,381,575 years, 8 weeks, 1 day, 2 hours, 52 minutes, 48 seconds.
-
To count from 1 to 137,798,786,055,168 would take you about ten million, nine hundred fifty-three thousand, nine hundred thirty-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 137798786055168 cubic inches would be around 4304.3 feet tall.
Recreational maths with 137798786055168
- 137798786055168 backwards is 861550687897731
- 137798786055168 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 137798786055168's digits is 81
- More coming soon!
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Cite this page
MLA style:
"Number 137798786055168 - Facts about the integer". Numbermatics.com. 2024. Web. 14 June 2024.
APA style:
Numbermatics. (2024). Number 137798786055168 - Facts about the integer. Retrieved 14 June 2024, from https://numbermatics.com/n/137798786055168/
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Numbermatics. 2024. "Number 137798786055168 - Facts about the integer". https://numbermatics.com/n/137798786055168/
The information we have on file for 137798786055168 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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