106804742184000
106,804,742,184,000 is an even composite number composed of six prime numbers multiplied together.
106804742184000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 106804742184000:
26 × 35 × 53 × 73 × 31 × 5167
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 7 × 7 × 31 × 5167)See below for interesting mathematical facts about the number 106804742184000 from the Numbermatics database.
Names of 106804742184000
- Cardinal: 106804742184000 can be written as One hundred six trillion, eight hundred four billion, seven hundred forty-two million, one hundred eighty-four thousand.
Scientific notation
- Scientific notation: 1.06804742184 × 1014
Factors of 106804742184000
Divisors of 106804742184000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 31 32 35 36 40 42 45 48 49 50 54 56 60 62 63 64 70 72 75 80 81 84 90 93 96 98 100 105 108 112 120 124 125 126 135 140 144 147 150 155 160 162 168 175 180 186 189 192 196 200 210 216 217 224 225 240 243 245 248 250 252 270 279 280 288 294 300 310 315 320 324 336 343 350 360 372 375 378 392 400 405 420 432 434 441 448 450 465 480 486 490 496 500 504 525 540 558 560 567 576 588 600 620 630 648 651 672 675 686 700 720 735 744 750 756 775 784 800 810 837 840 864 868 875 882 900 930 945 960 972 980 992 1000 1008 1029 1050 1080 1085 1116 1120 1125 1134 1176 1200 1215 1225 1240 1260 1296 1302 1323 1344 1350 1372 1395 1400 1440 1470 1488 1500 1512 1519 1550 1568 1575 1600 1620 1674 1680 1701 1715 1728 1736 1750 1764 1800 1860 1890 1944 1953 1960 1984 2000 2016 2025 2058 2100 2160 2170 2205 2232 2240 2250 2268 2325 2352 2400 2430 2450 2480 2511 2520 2592 2604 2625 2646 2700 2744 2790 2800 2835 2880 2940 2976 3000 3024 3038 3087 3100 3136 3150 3240 3255 3348 3360 3375 3402 3430 3472 3500 3528 3600 3675 3720 3780 3875 3888 3906 3920 3969 4000 4032 4050 4116 4185 4200 4320 4340 4410 4464 4500 4536 4557 4650 4704 4725 4800 4860 4900 4960 5022 5040 5145 5167 5184 5208 5250 5292 5400 5425 5488 5580 5600 5670 5859 5880 5952 6000 6048 6075 6076 6125 6174 6200 6300 6480 6510 6615 6696 6720 6750 6804 6860 6944 6975 7000 7056 7200 7350 7440 7533 7560 7595 7750 7776 7812 7840 7875 7938 8000 8100 8232 8370 8400 8505 8575 8640 8680 8820 8928 9000 9072 9114 9261 9300 9408 9450 9720 9765 9800 9920 10044 10080 10125 10290 10334 10416 10500 10584 10633 10800 10850 10976 11025 11160 11200 11340 11625 11718 11760 11907 12000 12096 12150 12152 12250 12348 12400 12555 12600 12960 13020 13230 13392 13500 13608 13671 13720 13888 13950 14000 14112 14175 14400 14700 14880 15066 15120 15190 15435 15500 15501 15552 15624 15680 15750 15876 16200 16275 16464 16740 16800 17010 17150 17360 17577 17640 17856 18000 18144 18228 18375 18522 18600 18900 19440 19530 19600 19845 20088 20160 20250 20580 20668 20832 20925 21000 21168 21266 21600 21700 21952 22050 22320 22680 22785 23250 23436 23520 23625 23814 24000 24300 24304 24500 24696 24800 25110 25200 25725 25835 25920 26040 26460 26784 27000 27125 27216 27342 27440 27783 27900 28000 28224 28350 29295 29400 29760 30132 30240 30375 30380 30870 31000 31002 31248 31500 31752 31899 32400 32550 32928 33075 33480 33600 34020 34300 34720 34875 35154 35280 36000 36169 36288 36456 36750 37044 37200 37665 37800 37975 38880 39060 39200 39690 40176 40500 41013 41160 41336 41664 41850 42000 42336 42525 42532 42875 43200 43400 44100 44640 45360 45570 46305 46500 46503 46872 47040 47250 47628 48600 48608 48825 49000 49392 49600 50220 50400 51450 51670 52080 52731 52920 53165 53568 54000 54250 54432 54684 54880 55125 55566 55800 56000 56700 58590 58800 59535 60264 60480 60750 60760 61740 62000 62004 62496 62775 63000 63504 63798 64800 65100 65856 66150 66960 68040 68355 68600 69440 69750 70308 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42382834200 42534744000 43066428300 43593772320 43952568800 44501975910 45410179500 45937523520 47092038000 47468774304 47680688475 47851587000 48437524800 49218775200 49446639900 50859401040 51897348000 52743082560 52978542750 53402371092 53833035375 54492215400 54687528000 54940711000 56510445600 57421904400 59335967880 60546906000 61031281248 61523469000 61808299875 62276817600 62789384000 63574251300 63802116000 65928853200 66752963865 67812534720 68115269250 68906285280 70312536000 70638057000 71203161456 71777380500 72656287200 74169959850 76289101560 76562539200 77846022000 79114623840 79467814125 80729208000 82031292000 82411066500 84765668400 86132856600 87187544640 87905137600 89003951820 90820359000 94184076000 94937548608 95361376950 95703174000 98437550400 98893279800 101718802080 103794696000 105957085500 106804742184 107666070750 108984430800 109881422000 111254939775 113020891200 114843808800 118671935760 121093812000 122062562496 123046938000 123616599750 127148502600 127604232000 131857706400 133505927730 136230538500 137812570560 141276114000 142406322912 143554761000 145312574400 148339919700 152578203120 155692044000 158229247680 158935628250 164062584000 164822133000 169531336800 172265713200 178007903640 181640718000 185424899625 188368152000 190722753900 191406348000 197786559600 203437604160 211914171000 213609484368 215332141500 217968861600 219762844000 222509879550 229687617600 237343871520 238403442375 242187624000 246093876000 247233199500 254297005200 263715412800 267011855460 272461077000 282552228000 284812645824 287109522000 296679839400 305156406240 311384088000 317871256500 329644266000 333764819325 339062673600 344531426400 356015807280 363281436000 370849799250 381445507800 382812696000 395573119200 423828342000 427218968736 430664283000 435937723200 439525688000 445019759100 474687743040 476806884750 492187752000 494466399000 508594010400 534023710920 544922154000 556274698875 565104456000 574219044000 593359678800 610312812480 635742513000 659288532000 667529638650 689062852800 712031614560 726562872000 741699598500 762891015600 791146238400 847656684000 854437937472 861328566000 890039518200 953613769500 988932798000 1017188020800 1068047421840 1089844308000 1112549397750 1148438088000 1186719357600 1271485026000 1318577064000 1335059277300 1424063229120 1483399197000 1525782031200 1668824096625 1695313368000 1722657132000 1780079036400 1907227539000 1977865596000 2136094843680 2179688616000 2225098795500 2373438715200 2542970052000 2670118554600 2966798394000 3051564062400 3337648193250 3445314264000 3560158072800 3814455078000 3955731192000 4272189687360 4450197591000 5085940104000 5340237109200 5933596788000 6675296386500 7120316145600 7628910156000 8900395182000 10680474218400 11867193576000 13350592773000 15257820312000 17800790364000 21360948436800 26701185546000 35601580728000 53402371092000 106804742184000
- Sum of all divisors σ(n): 477048107827200
- Sum of proper divisors (its aliquot sum) s(n): 370243365643200
- 106804742184000 is an abundant number, because the sum of its proper divisors (370243365643200) is greater than itself. Its abundance is 263438623459200
Bases of 106804742184000
- Binary: 110000100100011011010101011011111011100010000002
- Hexadecimal: 0x61236AB7DC40
- Base-36: 11UXF5VO00
Squares and roots of 106804742184000
- 106804742184000 squared (1068047421840002) is 11407252952990709089856000000
- 106804742184000 cubed (1068047421840003) is 1218348710671845356089415369685504000000000
-
The
square root of 106804742184000 is 10334637.9803068089 -
The
cube root of 106804742184000 is 47445.6985650355
Scales and comparisons
How big is 106804742184000?- 106,804,742,184,000 seconds is equal to 3,396,060 years, 22 weeks, 3 days, 12 hours.
-
To count from 1 to 106,804,742,184,000 would take you about eight million, four hundred ninety thousand, one hundred fifty-one 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 106804742184000 cubic inches would be around 3953.8 feet tall.
Recreational maths with 106804742184000
- 106804742184000 backwards is 000481247408601
- 106804742184000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106804742184000's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 106804742184000 - Facts about the integer. Retrieved 23 May 2024, from https://numbermatics.com/n/106804742184000/
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The information we have on file for 106804742184000 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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