106742889285120
106,742,889,285,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 106742889285120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
106742889285120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 106742889285120:
29 × 32 × 5 × 112 × 172 × 192 × 367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 11 × 11 × 17 × 17 × 19 × 19 × 367)See below for interesting mathematical facts about the number 106742889285120 from the Numbermatics database.
Names of 106742889285120
- Cardinal: 106742889285120 can be written as One hundred six trillion, seven hundred forty-two billion, eight hundred eighty-nine million, two hundred eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.0674288928512 × 1014
Factors of 106742889285120
Divisors of 106742889285120
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 17 18 19 20 22 24 30 32 33 34 36 38 40 44 45 48 51 55 57 60 64 66 68 72 76 80 85 88 90 95 96 99 102 110 114 120 121 128 132 136 144 152 153 160 165 170 171 176 180 187 190 192 198 204 209 220 228 240 242 255 256 264 272 285 288 289 304 306 320 323 330 340 342 352 360 361 363 367 374 380 384 396 408 418 440 456 480 484 495 510 512 528 544 561 570 576 578 605 608 612 627 640 646 660 680 684 704 720 722 726 734 748 760 765 768 792 816 836 855 867 880 912 935 960 968 969 990 1020 1045 1056 1083 1088 1089 1101 1122 1140 1152 1156 1210 1216 1224 1254 1280 1292 1320 1360 1368 1408 1440 1444 1445 1452 1468 1496 1520 1530 1536 1584 1615 1632 1672 1683 1710 1734 1760 1805 1815 1824 1835 1870 1881 1920 1936 1938 1980 2040 2057 2090 2112 2166 2176 2178 2202 2244 2280 2299 2304 2312 2420 2432 2448 2508 2560 2584 2601 2640 2720 2736 2805 2816 2880 2888 2890 2904 2907 2936 2992 3040 3060 3135 3168 3179 3230 3249 3264 3303 3344 3366 3420 3468 3520 3553 3610 3630 3648 3670 3740 3762 3840 3872 3876 3960 3971 4037 4080 4114 4180 4224 4332 4335 4352 4356 4404 4488 4560 4598 4608 4624 4840 4845 4864 4896 5016 5168 5202 5280 5415 5440 5445 5472 5491 5505 5610 5632 5760 5776 5780 5808 5814 5872 5984 6080 6120 6137 6171 6239 6270 6336 6358 6460 6498 6528 6606 6688 6732 6840 6897 6936 6973 7040 7106 7220 7260 7296 7340 7480 7524 7680 7744 7752 7920 7942 8074 8160 8228 8360 8415 8448 8664 8670 8704 8712 8808 8976 9120 9196 9248 9405 9537 9680 9690 9728 9792 10032 10285 10336 10404 10560 10659 10830 10880 10890 10944 10982 11010 11220 11495 11520 11552 11560 11616 11628 11744 11913 11968 12111 12160 12240 12274 12342 12478 12540 12672 12716 12920 12996 13005 13056 13212 13376 13464 13680 13794 13872 13946 14080 14212 14440 14520 14535 14592 14680 14960 15048 15488 15504 15840 15884 15895 16148 16245 16320 16456 16473 16515 16720 16830 16896 17328 17340 17424 17616 17765 17952 18240 18392 18411 18496 18513 18717 18810 19074 19360 19380 19584 19855 20064 20185 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148254012896 151623422280 156056855680 156974837184 161731650432 165236670720 166785764508 170243842560 174416485760 175563962640 176434527744 184676279040 185317516120 187268226816 190272529920 196218546480 202164563040 208482205635 209299782912 215642200576 220543159680 222381019344 234085283520 242597475648 255365763840 261624728640 269552750720 277976274180 280902340224 285408794880 290852559360 294057546240 295686673920 296508025792 303246844560 312113711360 313949674368 323463300864 330473341440 333571529016 348832971520 351127925280 369352558080 370635032240 374536453632 392437092960 404329126080 416964411270 418599565824 441086319360 444762038688 468170567040 485194951296 510731527680 523249457280 539105501440 555952548360 561804680448 570817589760 593016051584 606493689120 624227422720 627899348736 646926601728 667143058032 697665943040 702255850560 741270064480 784874185920 808658252160 833928822540 882172638720 889524077376 936341134080 970389902592 1046498914560 1078211002880 1111905096720 1123609360896 1186032103168 1212987378240 1255798697472 1334286116064 1404511701120 1482540128960 1569748371840 1617316504320 1667857645080 1779048154752 1872682268160 1940779805184 2092997829120 2223810193440 2372064206336 2425974756480 2668572232128 2809023402240 2965080257920 3139496743680 3234633008640 3335715290160 3558096309504 4447620386880 4851949512960 5337144464256 5618046804480 5930160515840 6278993487360 6671430580320 7116192619008 8895240773760 9703899025920 10674288928512 11860321031680 13342861160640 17790481547520 21348577857024 26685722321280 35580963095040 53371444642560 106742889285120
- Sum of all divisors σ(n): 456807312273312
- Sum of proper divisors (its aliquot sum) s(n): 350064422988192
- 106742889285120 is an abundant number, because the sum of its proper divisors (350064422988192) is greater than itself. Its abundance is 243321533703072
Bases of 106742889285120
- Binary: 110000100010101000000111111111110000110000000002
- Hexadecimal: 0x611503FF8600
- Base-36: 11U5089DS0
Squares and roots of 106742889285120
- 106742889285120 squared (1067428892851202) is 11394044412935386104653414400
- 106742889285120 cubed (1067428892851203) is 1216233221279702026157299082928983113728000
-
The
square root of 106742889285120 is 10331645.0425438059 -
The
cube root of 106742889285120 is 47436.5378585449
Scales and comparisons
How big is 106742889285120?- 106,742,889,285,120 seconds is equal to 3,394,093 years, 36 weeks, 3 days, 11 hours, 12 minutes.
-
To count from 1 to 106,742,889,285,120 would take you about eight million, four hundred eighty-five thousand, two hundred thirty-four 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 106742889285120 cubic inches would be around 3953 feet tall.
Recreational maths with 106742889285120
- 106742889285120 backwards is 021582988247601
- The number of decimal digits it has is: 15
- The sum of 106742889285120's digits is 63
- More coming soon!
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Cite this page
MLA style:
"Number 106742889285120 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 106742889285120 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/106742889285120/
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Numbermatics. 2024. "Number 106742889285120 - Facts about the integer". https://numbermatics.com/n/106742889285120/
The information we have on file for 106742889285120 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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