107114812728000
107,114,812,728,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 107114812728000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2688 divisors.
107114812728000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred eighty-eight divisors.
Prime factorization of 107114812728000:
26 × 3 × 53 × 7 × 11 × 292 × 413
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 7 × 11 × 29 × 29 × 41 × 41 × 41)See below for interesting mathematical facts about the number 107114812728000 from the Numbermatics database.
Names of 107114812728000
- Cardinal: 107114812728000 can be written as One hundred seven trillion, one hundred fourteen billion, eight hundred twelve million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.07114812728 × 1014
Factors of 107114812728000
Divisors of 107114812728000
- Number of divisors d(n): 2688
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 29 30 32 33 35 40 41 42 44 48 50 55 56 58 60 64 66 70 75 77 80 82 84 87 88 96 100 105 110 112 116 120 123 125 132 140 145 150 154 160 164 165 168 174 175 176 192 200 203 205 210 220 224 231 232 240 246 250 264 275 280 287 290 300 308 319 320 328 330 336 348 350 352 375 385 400 406 410 420 435 440 448 451 462 464 480 492 500 525 528 550 560 574 580 600 609 615 616 638 656 660 672 696 700 704 725 750 770 800 812 820 825 840 841 861 870 875 880 902 924 928 957 960 984 1000 1015 1025 1050 1056 1100 1120 1148 1155 1160 1189 1200 1218 1230 1232 1276 1312 1320 1344 1353 1375 1392 1400 1435 1450 1500 1540 1595 1600 1624 1640 1650 1680 1681 1682 1722 1740 1750 1760 1804 1848 1856 1914 1925 1968 2000 2030 2050 2100 2112 2175 2200 2233 2240 2255 2296 2310 2320 2378 2400 2436 2460 2464 2523 2552 2624 2625 2640 2706 2750 2784 2800 2870 2900 3000 3045 3075 3080 3157 3190 3248 3280 3300 3360 3362 3364 3444 3480 3500 3520 3567 3608 3625 3696 3828 3850 3936 4000 4060 4100 4125 4200 4205 4305 4350 4400 4466 4510 4592 4620 4640 4756 4785 4800 4872 4920 4928 5043 5046 5075 5104 5125 5250 5280 5412 5500 5568 5600 5740 5775 5800 5887 5945 6000 6090 6150 6160 6314 6380 6496 6560 6600 6699 6720 6724 6728 6765 6888 6960 7000 7134 7175 7216 7250 7392 7656 7700 7872 7975 8000 8120 8200 8250 8323 8400 8405 8410 8610 8700 8800 8932 9020 9184 9240 9251 9280 9471 9512 9570 9625 9744 9840 10086 10092 10150 10208 10250 10500 10560 10824 10875 11000 11165 11200 11275 11480 11550 11600 11767 11774 11890 12000 12180 12300 12320 12615 12628 12760 12992 13079 13120 13200 13398 13448 13456 13530 13776 13920 14000 14268 14350 14432 14500 14784 15225 15312 15375 15400 15785 15950 16240 16400 16500 16646 16800 16810 16820 17220 17400 17600 17661 17835 17864 18040 18368 18480 18491 18502 18942 19024 19140 19250 19488 19680 20172 20184 20300 20416 20500 21000 21025 21525 21648 21750 22000 22330 22550 22960 23100 23200 23534 23548 23780 23925 24000 24360 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32656955100 32978698500 33578311200 33929304000 34777536600 34834085440 35177278400 35704937576 36936142320 37322234400 38255290260 38475148250 38950840992 39584188000 40573792700 40805642944 40821193875 41972889000 42455336000 43471920750 43542606800 43971598000 44631171970 45044076000 46170177900 46370048800 46652793000 47501025600 47819112825 47969016000 48688551240 49248189760 50717240875 51007053680 52251128160 52765917600 53557406364 54428258500 55644058560 55963852000 57712722375 57962561000 59376282000 60860689050 61208464416 61560237200 62203724000 63683004000 63720888000 63758817100 64918068320 65313910200 65957397000 66946757955 67156622400 69555073200 71409875152 73872284640 74644468800 76510580520 76950296500 77901681984 79168376000 79698521375 81147585400 81642387750 83945778000 86943841500 87085213600 87943196000 89262343940 90088152000 92340355800 92740097600 93305586000 95638225650 97377102480 101434481750 102014107360 104502256320 105531835200 107114812728 108856517000 111577929925 111927704000 115425444750 115925122000 118752564000 121721378100 122416928832 123120474400 124407448000 127366008000 127517634200 129836136640 130627820400 131914794000 133893515910 139110146400 142819750304 147744569280 152151722625 153021161040 153900593000 159397042750 162295170800 163284775500 167891556000 173887683000 174170427200 175886392000 178524687880 184680711600 186611172000 191276451300 194754204960 202868963500 204028214720 214229625456 217713034000 223155859850 230850889500 231850244000 237505128000 239095564125 243442756200 246240948800 255035268400 261255640800 263829588000 267787031820 278220292800 285639500608 304303445250 306042322080 307801186000 318794085500 324590341600 326569551000 334733789775 335783112000 347775366000 357049375760 369361423200 373222344000 382552902600 389508409920 405737927000 428459250912 435426068000 446311719700 461701779000 463700488000 478191128250 486885512400 510070536800 522511281600 527659176000 535574063640 557889649625 608606890500 612084644160 615602372000 637588171000 649180683200 653139102000 669467579550 695550732000 714098751520 738722846400 765105805200 811475854000 856918501824 870852136000 892623439400 923403558000 956382256500 973771024800 1020141073600 1071148127280 1115779299250 1217213781000 1231204744000 1275176342000 1306278204000 1338935159100 1391101464000 1428197503040 1530211610400 1622951708000 1673668948875 1785246878800 1846807116000 1912764513000 1947542049600 2142296254560 2231558598500 2434427562000 2550352684000 2612556408000 2677870318200 3060423220800 3245903416000 3347337897750 3570493757600 3693614232000 3825529026000 4284592509120 4463117197000 4868855124000 5100705368000 5355740636400 6694675795500 7140987515200 7651058052000 8926234394000 9737710248000 10711481272800 13389351591000 15302116104000 17852468788000 21422962545600 26778703182000 35704937576000 53557406364000 107114812728000
- Sum of all divisors σ(n): 468115455854592
- Sum of proper divisors (its aliquot sum) s(n): 361000643126592
- 107114812728000 is an abundant number, because the sum of its proper divisors (361000643126592) is greater than itself. Its abundance is 253885830398592
Bases of 107114812728000
- Binary: 110000101101011100111000101110011100010110000002
- Hexadecimal: 0x616B9C5CE2C0
- Base-36: 11YVV5VIYO
Squares and roots of 107114812728000
- 107114812728000 squared (1071148127280002) is 11473583105754510801984000000
- 107114812728000 cubed (1071148127280003) is 1228990705692039043695769250852352000000000
-
The
square root of 107114812728000 is 10349628.6275402173 -
The
cube root of 107114812728000 is 47491.5682508067
Scales and comparisons
How big is 107114812728000?- 107,114,812,728,000 seconds is equal to 3,405,919 years, 37 weeks, 1 day, 22 hours, 40 minutes.
-
To count from 1 to 107,114,812,728,000 would take you about eight million, five hundred fourteen thousand, seven hundred ninety-nine 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 107114812728000 cubic inches would be around 3957.6 feet tall.
Recreational maths with 107114812728000
- 107114812728000 backwards is 000827218411701
- 107114812728000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 107114812728000's digits is 42
- More coming soon!
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Numbermatics. (2024). Number 107114812728000 - Facts about the integer. Retrieved 24 June 2024, from https://numbermatics.com/n/107114812728000/
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The information we have on file for 107114812728000 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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