106948835136000
106,948,835,136,000 is an even composite number composed of six prime numbers multiplied together.
106948835136000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, two hundred divisors.
Prime factorization of 106948835136000:
29 × 33 × 53 × 11 × 134 × 197
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 13 × 13 × 13 × 13 × 197)See below for interesting mathematical facts about the number 106948835136000 from the Numbermatics database.
Names of 106948835136000
- Cardinal: 106948835136000 can be written as One hundred six trillion, nine hundred forty-eight billion, eight hundred thirty-five million, one hundred thirty-six thousand.
Scientific notation
- Scientific notation: 1.06948835136 × 1014
Factors of 106948835136000
Divisors of 106948835136000
- Number of divisors d(n): 3200
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 13 15 16 18 20 22 24 25 26 27 30 32 33 36 39 40 44 45 48 50 52 54 55 60 64 65 66 72 75 78 80 88 90 96 99 100 104 108 110 117 120 125 128 130 132 135 143 144 150 156 160 165 169 176 180 192 195 197 198 200 208 216 220 225 234 240 250 256 260 264 270 275 286 288 297 300 312 320 325 330 338 351 352 360 375 384 390 394 396 400 416 429 432 440 450 468 480 495 500 507 512 520 528 540 550 572 576 585 591 594 600 624 640 650 660 675 676 702 704 715 720 750 768 780 788 792 800 825 832 845 858 864 880 900 936 960 975 985 990 1000 1014 1040 1056 1080 1100 1125 1144 1152 1170 1182 1188 1200 1248 1280 1287 1300 1320 1350 1352 1375 1404 1408 1430 1440 1485 1500 1521 1536 1560 1576 1584 1600 1625 1650 1664 1690 1716 1728 1755 1760 1773 1800 1859 1872 1920 1950 1970 1980 2000 2028 2080 2112 2145 2160 2167 2197 2200 2250 2288 2304 2340 2364 2376 2400 2475 2496 2535 2560 2561 2574 2600 2640 2700 2704 2750 2808 2816 2860 2880 2925 2955 2970 3000 3042 3120 3152 3168 3200 3250 3300 3328 3375 3380 3432 3456 3510 3520 3546 3575 3600 3718 3744 3840 3861 3900 3940 3960 4000 4056 4125 4160 4224 4225 4290 4320 4334 4394 4400 4500 4563 4576 4608 4680 4728 4752 4800 4875 4925 4950 4992 5070 5122 5148 5200 5280 5319 5400 5408 5500 5577 5616 5632 5720 5760 5850 5910 5940 6000 6084 6240 6304 6336 6400 6435 6500 6501 6591 6600 6656 6750 6760 6864 6912 7020 7040 7092 7150 7200 7425 7436 7488 7605 7680 7683 7722 7800 7880 7920 8000 8112 8250 8320 8448 8450 8580 8640 8668 8775 8788 8800 8865 9000 9126 9152 9295 9360 9456 9504 9600 9750 9850 9900 9984 10140 10244 10296 10400 10560 10638 10725 10800 10816 10835 10985 11000 11154 11232 11440 11520 11700 11820 11880 12000 12168 12375 12480 12608 12672 12675 12800 12805 12870 13000 13002 13182 13200 13500 13520 13728 13824 14040 14080 14184 14300 14400 14625 14775 14850 14872 14976 15210 15366 15444 15600 15760 15840 16000 16224 16500 16640 16731 16896 16900 17160 17280 17336 17550 17576 17600 17730 17875 18000 18252 18304 18590 18720 18912 19008 19200 19305 19500 19503 19700 19773 19800 19968 20280 20488 20592 20800 21120 21125 21276 21450 21600 21632 21670 21970 22000 22308 22464 22815 22880 23040 23049 23400 23640 23760 24000 24167 24336 24625 24750 24960 25216 25344 25350 25610 25740 26000 26004 26364 26400 26595 27000 27040 27456 27885 28080 28160 28171 28368 28561 28600 28800 29250 29550 29700 29744 29952 30420 30732 30888 31200 31520 31680 32000 32175 32448 32505 32955 33000 33280 33293 33462 33800 34320 34560 34672 35100 35152 35200 35460 35750 36000 36504 36608 37125 37180 37440 37824 38016 38025 38400 38415 38610 39000 39006 39400 39546 39600 40560 40976 41184 41600 42240 42250 42552 42900 43200 43264 43340 43875 43940 44000 44325 44616 44928 45630 45760 46098 46475 46800 47280 47520 48000 48334 48672 49250 49500 49920 50193 50432 50688 50700 51220 51480 52000 52008 52728 52800 53190 53625 54000 54080 54175 54912 54925 55770 56160 56342 56736 57122 57200 57600 58500 58509 59100 59319 59400 59488 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303831918000 304697536000 316416672000 324087379200 329073338880 334215109800 342784728000 356496117120 360097088000 371350122000 373946976000 388904855040 396106796800 405109224000 411341673600 417768887250 427795340544 445620146400 457046304000 475328156160 486131068800 495133496000 514177092000 534744175680 540145632000 542887488000 548455564800 557025183000 594160195200 607663836000 632833344000 648174758400 668430219600 685569456000 712992234240 742700244000 747893952000 792213593600 810218448000 822683347200 835537774500 855590681088 891240292800 914092608000 972262137600 990266992000 1028354184000 1069488351360 1080291264000 1114050366000 1188320390400 1215327672000 1336860439200 1371138912000 1425984468480 1485400488000 1620436896000 1645366694400 1671075549000 1782480585600 1944524275200 1980533984000 2056708368000 2138976702720 2228100732000 2376640780800 2430655344000 2673720878400 2742277824000 2970800976000 3240873792000 3342151098000 3564961171200 3961067968000 4113416736000 4277953405440 4456201464000 4861310688000 5347441756800 5941601952000 6684302196000 7129922342400 8226833472000 8912402928000 9722621376000 10694883513600 11883203904000 13368604392000 17824805856000 21389767027200 26737208784000 35649611712000 53474417568000 106948835136000
- Sum of all divisors σ(n): 469289681752320
- Sum of proper divisors (its aliquot sum) s(n): 362340846616320
- 106948835136000 is an abundant number, because the sum of its proper divisors (362340846616320) is greater than itself. Its abundance is 255392011480320
Bases of 106948835136000
- Binary: 110000101000100111101110101001111010010000000002
- Hexadecimal: 0x6144F753D200
- Base-36: 11WRM73PC0
Squares and roots of 106948835136000
- 106948835136000 squared (1069488351360002) is 11438053336947308138496000000
- 106948835136000 cubed (1069488351360003) is 1223286480609952315622999758995456000000000
-
The
square root of 106948835136000 is 10341606.9900185239 -
The
cube root of 106948835136000 is 47467.0257035643
Scales and comparisons
How big is 106948835136000?- 106,948,835,136,000 seconds is equal to 3,400,642 years, 7 weeks, 3 days.
-
To count from 1 to 106,948,835,136,000 would take you about eight million, five hundred one thousand, six hundred five 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 106948835136000 cubic inches would be around 3955.6 feet tall.
Recreational maths with 106948835136000
- 106948835136000 backwards is 000631538849601
- 106948835136000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106948835136000's digits is 54
- More coming soon!
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"Number 106948835136000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 106948835136000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/106948835136000/
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The information we have on file for 106948835136000 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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