106842090700800
106,842,090,700,800 is an even composite number composed of six prime numbers multiplied together.
What does the number 106842090700800 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2856 divisors.
106842090700800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, eight hundred fifty-six divisors.
Prime factorization of 106842090700800:
216 × 36 × 52 × 7 × 13 × 983
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 13 × 983)See below for interesting mathematical facts about the number 106842090700800 from the Numbermatics database.
Names of 106842090700800
- Cardinal: 106842090700800 can be written as One hundred six trillion, eight hundred forty-two billion, ninety million, seven hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.068420907008 × 1014
Factors of 106842090700800
Divisors of 106842090700800
- Number of divisors d(n): 2856
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 16 18 20 21 24 25 26 27 28 30 32 35 36 39 40 42 45 48 50 52 54 56 60 63 64 65 70 72 75 78 80 81 84 90 91 96 100 104 105 108 112 117 120 126 128 130 135 140 144 150 156 160 162 168 175 180 182 189 192 195 200 208 210 216 224 225 234 240 243 252 256 260 270 273 280 288 300 312 315 320 324 325 336 350 351 360 364 378 384 390 400 405 416 420 432 448 450 455 468 480 486 504 512 520 525 540 546 560 567 576 585 600 624 630 640 648 650 672 675 700 702 720 728 729 756 768 780 800 810 819 832 840 864 896 900 910 936 945 960 972 975 983 1008 1024 1040 1050 1053 1080 1092 1120 1134 1152 1170 1200 1215 1248 1260 1280 1296 1300 1344 1350 1365 1400 1404 1440 1456 1458 1512 1536 1560 1575 1600 1620 1638 1664 1680 1701 1728 1755 1792 1800 1820 1872 1890 1920 1944 1950 1966 2016 2025 2048 2080 2100 2106 2160 2184 2240 2268 2275 2304 2340 2400 2430 2457 2496 2520 2560 2592 2600 2688 2700 2730 2800 2808 2835 2880 2912 2916 2925 2949 3024 3072 3120 3150 3159 3200 3240 3276 3328 3360 3402 3456 3510 3584 3600 3640 3645 3744 3780 3840 3888 3900 3932 4032 4050 4095 4096 4160 4200 4212 4320 4368 4480 4536 4550 4608 4680 4725 4800 4860 4914 4915 4992 5040 5103 5120 5184 5200 5265 5376 5400 5460 5600 5616 5670 5760 5824 5832 5850 5898 6048 6075 6144 6240 6300 6318 6400 6480 6552 6656 6720 6804 6825 6881 6912 7020 7168 7200 7280 7290 7371 7488 7560 7680 7776 7800 7864 8064 8100 8190 8192 8320 8400 8424 8505 8640 8736 8775 8847 8960 9072 9100 9216 9360 9450 9477 9600 9720 9828 9830 9984 10080 10206 10240 10368 10400 10530 10752 10800 10920 11200 11232 11340 11520 11648 11664 11700 11796 12096 12150 12285 12288 12480 12600 12636 12779 12800 12960 13104 13312 13440 13608 13650 13762 13824 14040 14175 14336 14400 14560 14580 14742 14745 14976 15120 15360 15552 15600 15728 15795 16128 16200 16380 16384 16640 16800 16848 17010 17280 17472 17550 17694 17920 18144 18200 18225 18432 18720 18900 18954 19200 19440 19656 19660 19968 20160 20412 20475 20480 20643 20736 20800 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10991984640 11129384448 11273830400 11306041344 11414753280 11593108800 11740889088 11777126400 11924340480 12076646400 12175736832 12230092800 12365982720 12562268160 12683059200 12719296512 12841597440 13042247400 13045432320 13190381568 13249267200 13586227200 13697703936 13739980800 13911730560 14132551680 14268441600 14494924800 14655979520 14676111360 14839179264 14905425600 15219671040 15457478400 15527116800 15654518784 15702835200 15899120640 16051996800 16306790400 16487976960 16694076672 16910745600 16959062016 17122129920 17389663200 17587175424 17665689600 18114969600 18263605248 18319974400 18345139200 18548974080 18843402240 19024588800 19078944768 19568148480 19785572352 19873900800 20292894720 20546555904 20609971200 20867595840 20937113600 21198827520 21402662400 21737963520 21742387200 21983969280 22258768896 22612082688 22829506560 23186217600 23481778176 23554252800 23848680960 24460185600 24731965440 25366118400 25438593024 25683194880 26084494800 26090864640 26380763136 26498534400 27172454400 27395407872 27479961600 27823461120 28265103360 28536883200 29311959040 29352222720 29678358528 29810851200 30439342080 30914956800 31405670400 31798241280 32103993600 32613580800 32975953920 33388153344 33821491200 33918124032 34244259840 34779326400 35331379200 36229939200 36527210496 36639948800 36690278400 37097948160 37686804480 38049177600 38157889536 39136296960 39571144704 39747801600 41093111808 41219942400 41735191680 42397655040 42805324800 43484774400 43967938560 44517537792 45659013120 46372435200 46963556352 47108505600 47697361920 48920371200 49463930880 50732236800 50877186048 51366389760 52168989600 52761526272 52997068800 54344908800 54790815744 54959923200 55646922240 56530206720 57073766400 58704445440 59356717056 59621702400 60878684160 61829913600 62811340800 63596482560 64207987200 65227161600 65951907840 66776306688 67836248064 68488519680 69558652800 70662758400 73279897600 73380556800 74195896320 76098355200 76315779072 78272593920 79142289408 79495603200 82186223616 82439884800 83470383360 84795310080 85610649600 87935877120 89035075584 91318026240 92744870400 94217011200 95394723840 97840742400 98927861760 101464473600 101754372096 102732779520 104337979200 105994137600 108689817600 109581631488 109919846400 111293844480 113060413440 114147532800 117408890880 118713434112 119243404800 123659827200 127192965120 128415974400 130454323200 131903815680 133552613376 136977039360 139117305600 141325516800 146559795200 146761113600 148391792640 152196710400 152631558144 158284578816 158991206400 164372447232 164879769600 166940766720 169590620160 171221299200 178070151168 182636052480 185489740800 188434022400 190789447680 195681484800 197855723520 203508744192 205465559040 208675958400 211988275200 219839692800 222587688960 228295065600 234817781760 237426868224 238486809600 247319654400 254385930240 256831948800 263807631360 267105226752 273954078720 278234611200 282651033600 293522227200 296783585280 304393420800 305263116288 317982412800 328744894464 329759539200 333881533440 339181240320 342442598400 356140302336 370979481600 381578895360 391362969600 395711447040 410931118080 417351916800 423976550400 439679385600 445175377920 456590131200 474853736448 476973619200 494639308800 508771860480 513663897600 534210453504 547908157440 556469222400 565302067200 587044454400 593567170560 610526232576 635964825600 659519078400 667763066880 684885196800 712280604672 741958963200 763157790720 791422894080 821862236160 834703833600 847953100800 890350755840 913180262400 953947238400 989278617600 1017543720960 1027327795200 1068420907008 1112938444800 1174088908800 1187134341120 1271929651200 1319038156800 1335526133760 1369770393600 1424561209344 1483917926400 1526315581440 1643724472320 1669407667200 1695906201600 1780701511680 1907894476800 1978557235200 2054655590400 2136841814016 2225876889600 2374268682240 2543859302400 2671052267520 2739540787200 2967835852800 3052631162880 3338815334400 3561403023360 3815788953600 3957114470400 4109311180800 4273683628032 4451753779200 5087718604800 5342104535040 5935671705600 6677630668800 7122806046720 7631577907200 8218622361600 8903507558400 10684209070080 11871343411200 13355261337600 15263155814400 17807015116800 21368418140160 26710522675200 35614030233600 53421045350400 106842090700800
- Sum of all divisors σ(n): 489442400598144
- Sum of proper divisors (its aliquot sum) s(n): 382600309897344
- 106842090700800 is an abundant number, because the sum of its proper divisors (382600309897344) is greater than itself. Its abundance is 275758219196544
Bases of 106842090700800
- Binary: 110000100101100000111001101110100000000000000002
- Hexadecimal: 0x612C1CDD0000
- Base-36: 11VEKU8000
Squares and roots of 106842090700800
- 106842090700800 squared (1068420907008002) is 11415232345317973835120640000
- 106842090700800 cubed (1068420907008003) is 1219627289609168866708440643390144512000000
-
The
square root of 106842090700800 is 10336444.7805229435 -
The
cube root of 106842090700800 is 47451.2283443339
Scales and comparisons
How big is 106842090700800?- 106,842,090,700,800 seconds is equal to 3,397,248 years.
-
To count from 1 to 106,842,090,700,800 would take you about eight million, four hundred ninety-three thousand, one hundred twenty 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 106842090700800 cubic inches would be around 3954.3 feet tall.
Recreational maths with 106842090700800
- 106842090700800 backwards is 008007090248601
- 106842090700800 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106842090700800's digits is 45
- More coming soon!
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"Number 106842090700800 - Facts about the integer". Numbermatics.com. 2024. Web. 4 May 2024.
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Numbermatics. (2024). Number 106842090700800 - Facts about the integer. Retrieved 4 May 2024, from https://numbermatics.com/n/106842090700800/
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The information we have on file for 106842090700800 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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