13085736300728000
13,085,736,300,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13085736300728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3584 divisors.
13085736300728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, five hundred eighty-four divisors.
Prime factorization of 13085736300728000:
26 × 53 × 73 × 133 × 293 × 89
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 13 × 13 × 13 × 29 × 29 × 29 × 89)See below for interesting mathematical facts about the number 13085736300728000 from the Numbermatics database.
Names of 13085736300728000
- Cardinal: 13085736300728000 can be written as Thirteen quadrillion, eighty-five trillion, seven hundred thirty-six billion, three hundred million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.3085736300728 × 1016
Factors of 13085736300728000
Divisors of 13085736300728000
- Number of divisors d(n): 3584
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Complete list of divisors:
1 2 4 5 7 8 10 13 14 16 20 25 26 28 29 32 35 40 49 50 52 56 58 64 65 70 80 89 91 98 100 104 112 116 125 130 140 145 160 169 175 178 182 196 200 203 208 224 232 245 250 260 280 290 320 325 338 343 350 356 364 377 392 400 406 416 445 448 455 464 490 500 520 560 580 623 637 650 676 686 700 712 725 728 754 784 800 812 832 841 845 875 890 910 928 980 1000 1015 1040 1120 1157 1160 1183 1225 1246 1274 1300 1352 1372 1400 1421 1424 1450 1456 1508 1568 1600 1624 1625 1682 1690 1715 1750 1780 1820 1856 1885 1960 2000 2030 2080 2197 2225 2240 2275 2314 2320 2366 2450 2492 2548 2581 2600 2639 2704 2744 2800 2842 2848 2900 2912 3016 3115 3136 3185 3248 3250 3364 3380 3430 3500 3560 3625 3640 3770 3920 4000 4060 4160 4205 4225 4361 4394 4450 4459 4550 4628 4640 4732 4900 4901 4984 5075 5096 5162 5200 5278 5408 5488 5600 5684 5696 5785 5800 5824 5887 5915 6032 6125 6230 6370 6496 6500 6728 6760 6860 7000 7105 7120 7250 7280 7540 7840 8000 8099 8120 8281 8410 8450 8575 8722 8788 8900 8918 9100 9256 9280 9425 9464 9800 9802 9947 9968 10150 10192 10324 10400 10556 10816 10933 10976 10985 11125 11200 11368 11375 11570 11600 11774 11830 12064 12250 12460 12740 12905 12992 13000 13195 13456 13520 13720 14000 14210 14240 14500 14560 15041 15080 15379 15575 15680 15925 16198 16240 16562 16820 16900 17150 17444 17576 17800 17836 18067 18200 18473 18512 18850 18928 19600 19604 19894 19936 20300 20384 20648 20800 21025 21112 21125 21805 21866 21952 21970 22250 22295 22736 22750 23140 23200 23548 23660 24128 24389 24500 24505 24920 25375 25480 25810 26000 26390 26912 27040 27440 28000 28420 28480 28925 29000 29120 29435 29575 30082 30160 30527 30758 31150 31850 32396 32480 33124 33553 33640 33800 34300 34307 34888 35152 35525 35600 35672 36134 36400 36946 37024 37700 37856 39200 39208 39788 39872 40495 40600 40768 41209 41296 41405 42050 42224 42250 42875 43610 43732 43940 44500 44590 45472 45500 46280 46400 47096 47125 47320 48778 49000 49010 49735 49840 50750 50960 51620 52000 52780 53824 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4172747544875 4200878427200 4338771983000 4493728125250 4512322862320 4594710779750 4604411084000 4673477250260 4768854337000 4839399519500 4958596552000 5032975500280 5070025688000 5135689286000 5251098034000 5341116857440 5530742308000 5640403577900 5655028652000 5751972000320 5841846562825 5881229798080 5956184024000 6291219375350 6446175517600 6542868150364 6676396071800 6942035172800 7050504472375 7189965000400 7351537247600 7477563600416 7630166939200 7743039231200 7779867004000 8052760800448 8057719397000 8178585187955 8345495089750 8677543966000 8987456250500 9024645724640 9189421559500 9208822168000 9346954500520 9537708674000 9678799039000 10065951000560 10271378572000 10502196068000 10682233714880 11061484616000 11280807155800 11310057304000 11683693125650 12582438750700 12892351035200 13085736300728 13352792143600 14101008944750 14379930000800 14703074495200 14955127200832 15486078462400 15559734008000 15728048438375 16115438794000 16357170375910 16690990179500 17355087932000 17974912501000 18049291449280 18378843119000 18693909001040 19075417348000 19357598078000 20131902001120 20542757144000 21004392136000 22561614311600 23367386251300 25164877501400 26171472601456 26705584287200 28202017889500 28759860001600 29209232814125 29406148990400 31456096876750 32230877588000 32714340751820 33381980359000 34710175864000 35949825002000 36757686238000 37387818002080 38150834696000 38715196156000 40263804002240 40892925939775 45123228623200 46734772502600 50329755002800 52342945202912 53411168574400 56404035779000 58418465628250 62912193753500 64461755176000 65428681503640 66763960718000 71899650004000 73515372476000 74775636004160 77430392312000 81785851879550 90246457246400 93469545005200 100659510005600 104685890405824 112808071558000 116836931256500 125824387507000 130857363007280 133527921436000 143799300008000 147030744952000 163571703759100 186939090010400 201319020011200 204464629698875 225616143116000 233673862513000 251648775014000 261714726014560 267055842872000 327143407518200 373878180020800 408929259397750 451232286232000 467347725026000 503297550028000 523429452029120 654286815036400 817858518795500 934695450052000 1006595100056000 1308573630072800 1635717037591000 1869390900104000 2617147260145600 3271434075182000 6542868150364000 13085736300728000
- Sum of all divisors σ(n): 42878651961600000
- Sum of proper divisors (its aliquot sum) s(n): 29792915660872000
- 13085736300728000 is an abundant number, because the sum of its proper divisors (29792915660872000) is greater than itself. Its abundance is 16707179360144000
Bases of 13085736300728000
- Binary: 1011100111110101101000011001111101010001001110110000002
- Hexadecimal: 0x2E7D6867D44EC0
- Base-36: 3KUI89LR5Q8
Squares and roots of 13085736300728000
- 13085736300728000 squared (130857363007280002) is 171236494532190522053329984000000
- 13085736300728000 cubed (130857363007280003) is 2240755612509297200968645407562043428352000000000
-
The
square root of 13085736300728000 is 114392903.1921473703 -
The
cube root of 13085736300728000 is 235649.2461449519
Scales and comparisons
How big is 13085736300728000?- 13,085,736,300,728,000 seconds is equal to 416,085,937 years, 27 weeks, 1 day, 10 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,085,736,300,728,000 would take you about one billion, two hundred forty-eight million, two hundred fifty-seven thousand, eight hundred twelve 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 13085736300728000 cubic inches would be around 19637.4 feet tall.
Recreational maths with 13085736300728000
- 13085736300728000 backwards is 00082700363758031
- The number of decimal digits it has is: 17
- The sum of 13085736300728000's digits is 53
- More coming soon!
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"Number 13085736300728000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
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Numbermatics. (2024). Number 13085736300728000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/13085736300728000/
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The information we have on file for 13085736300728000 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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