13408107528192000
13,408,107,528,192,000 is an even composite number composed of six prime numbers multiplied together.
13408107528192000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, seven hundred thirty-six divisors.
Prime factorization of 13408107528192000:
218 × 3 × 53 × 132 × 43 × 1372
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 13 × 13 × 43 × 137 × 137)See below for interesting mathematical facts about the number 13408107528192000 from the Numbermatics database.
Names of 13408107528192000
- Cardinal: 13408107528192000 can be written as Thirteen quadrillion, four hundred eight trillion, one hundred seven billion, five hundred twenty-eight million, one hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.3408107528192 × 1016
Factors of 13408107528192000
Divisors of 13408107528192000
- Number of divisors d(n): 2736
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 32 39 40 43 48 50 52 60 64 65 75 78 80 86 96 100 104 120 125 128 129 130 137 150 156 160 169 172 192 195 200 208 215 240 250 256 258 260 274 300 312 320 325 338 344 375 384 390 400 411 416 430 480 500 507 512 516 520 548 559 600 624 640 645 650 676 685 688 750 768 780 800 822 832 845 860 960 975 1000 1014 1024 1032 1040 1075 1096 1118 1200 1248 1280 1290 1300 1352 1370 1376 1500 1536 1560 1600 1625 1644 1664 1677 1690 1720 1781 1920 1950 2000 2028 2048 2055 2064 2080 2150 2192 2236 2400 2496 2535 2560 2580 2600 2704 2740 2752 2795 3000 3072 3120 3200 3225 3250 3288 3328 3354 3380 3425 3440 3562 3840 3900 4000 4056 4096 4110 4128 4160 4225 4300 4384 4472 4800 4875 4992 5070 5120 5160 5200 5343 5375 5408 5480 5504 5590 5891 6000 6144 6240 6400 6450 6500 6576 6656 6708 6760 6850 6880 7124 7267 7680 7800 8000 8112 8192 8220 8256 8320 8385 8450 8600 8768 8905 8944 9600 9750 9984 10140 10240 10275 10320 10400 10686 10750 10816 10960 11008 11180 11782 12000 12288 12480 12675 12800 12900 13000 13152 13312 13416 13520 13700 13760 13975 14248 14534 15360 15600 16000 16125 16224 16384 16440 16512 16640 16770 16900 17125 17200 17536 17673 17810 17888 18769 19200 19500 19968 20280 20480 20550 20640 20800 21125 21372 21500 21632 21801 21920 22016 22360 23153 23564 24000 24576 24960 25350 25600 25800 26000 26304 26624 26715 26832 27040 27400 27520 27950 28496 29068 29455 30720 31200 32000 32250 32448 32768 32880 33024 33280 33540 33800 34250 34400 35072 35346 35620 35776 36335 37538 38400 39000 39936 40560 40960 41100 41280 41600 41925 42250 42744 43000 43264 43602 43840 44032 44525 44720 46306 47128 48000 49152 49920 50700 51200 51375 51600 52000 52608 53248 53430 53664 54080 54800 55040 55900 56307 56992 58136 58910 61440 62400 63375 64000 64500 64896 65536 65760 66048 66560 67080 67600 68500 68800 69459 69875 70144 70692 71240 71552 72670 75076 76583 76800 78000 79872 81120 81920 82200 82560 83200 83850 84500 85488 86000 86528 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470525952000 479717621760 487213209600 489346990080 495861964800 499705856000 501894348800 503609808000 509736448000 515696443392 519694090240 523754200320 528919429120 537183795200 545577292000 558671147008 569008128000 579108864000 599647027200 609016512000 611683737600 615022592000 619827456000 623632908288 627367936000 634703314944 644620554240 649617612800 652462653440 654692750400 661149286400 671479744000 687595257856 698338933760 714375168000 749558784000 752841523200 758677504000 764604672000 779541135360 782955184128 793379143680 799529369600 805775692800 812022016000 815578316800 818365938000 826436608000 831510544384 838006720512 859494072320 872923667200 922533888000 941051904000 959435243520 974426419200 978693980160 991723929600 999411712000 1007219616000 1019472896000 1031392886784 1039388180480 1047508400640 1057838858240 1074367590400 1091154584000 1117342294016 1138016256000 1199294054400 1218033024000 1223367475200 1239654912000 1247265816576 1254735872000 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4190033602560 4297470361600 4364618336000 4469369176064 4797176217600 4872132096000 4893469900800 4958619648000 5156964433920 5196940902400 5237542003200 5289194291200 5371837952000 5586711470080 5996470272000 6116837376000 6236329082880 6446205542400 6496176128000 6524626534400 6546927504000 6611492864000 6704053764096 6875952578560 6983389337600 7528415232000 7795411353600 7933791436800 7995293696000 8057756928000 8155783168000 8251143094272 8380067205120 8594940723200 8729236672000 8938738352128 9744264192000 9786939801600 9917239296000 10313928867840 10393881804800 10475084006400 10743675904000 11173422940160 11992940544000 12233674752000 12472658165760 12892411084800 12992352256000 13093855008000 13222985728000 13408107528192 13751905157120 13966778675200 15590822707200 15867582873600 16115513856000 16311566336000 16760134410240 17189881446400 17458473344000 17877476704256 19488528384000 19573879603200 19834478592000 20627857735680 20787763609600 20950168012800 21487351808000 22346845880320 23985881088000 24467349504000 25784822169600 25984704512000 26187710016000 26445971456000 26816215056384 27933557350400 31181645414400 32231027712000 32623132672000 33520268820480 34379762892800 34916946688000 35754953408512 38977056768000 39668957184000 41255715471360 41900336025600 42974703616000 44693691760640 48934699008000 51569644339200 51969409024000 52375420032000 53632430112768 55867114700800 62363290828800 64462055424000 67040537640960 68759525785600 69833893376000 77954113536000 79337914368000 83800672051200 85949407232000 89387383521280 97869398016000 103139288678400 103938818048000 104750840064000 107264860225536 111734229401600 128924110848000 134081075281920 139667786752000 155908227072000 167601344102400 171898814464000 178774767042560 206278577356800 209501680128000 223468458803200 257848221696000 268162150563840 279335573504000 311816454144000 335202688204800 343797628928000 419003360256000 446936917606400 515696443392000 536324301127680 558671147008000 670405376409600 838006720512000 893873835212800 1031392886784000 1117342294016000 1340810752819200 1676013441024000 2234684588032000 2681621505638400 3352026882048000 4469369176064000 6704053764096000 13408107528192000
- Sum of all divisors σ(n): 49805817095466432
- Sum of proper divisors (its aliquot sum) s(n): 36397709567274432
- 13408107528192000 is an abundant number, because the sum of its proper divisors (36397709567274432) is greater than itself. Its abundance is 22989602039082432
Bases of 13408107528192000
- Binary: 1011111010001010011010010011100101010000000000000000002
- Hexadecimal: 0x2FA29A4E540000
- Base-36: 3O0RZKB7HMO
Squares and roots of 13408107528192000
- 13408107528192000 squared (134081075281920002) is 179777347487558984074788864000000
- 13408107528192000 cubed (134081075281920003) is 2410474006246328751434820007351327653888000000000
-
The
square root of 13408107528192000 is 115793382.9205797061 -
The
cube root of 13408107528192000 is 237568.6672918361
Scales and comparisons
How big is 13408107528192000?- 13,408,107,528,192,000 seconds is equal to 426,336,345 years, 20 weeks, 4 days, 10 hours, 40 minutes.
-
To count from 1 to 13,408,107,528,192,000 would take you about one billion, two hundred seventy-nine million, nine thousand and thirty-six 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 13408107528192000 cubic inches would be around 19797.4 feet tall.
Recreational maths with 13408107528192000
- 13408107528192000 backwards is 00029182570180431
- The number of decimal digits it has is: 17
- The sum of 13408107528192000's digits is 51
- More coming soon!
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"Number 13408107528192000 - Facts about the integer". Numbermatics.com. 2024. Web. 8 June 2024.
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Numbermatics. (2024). Number 13408107528192000 - Facts about the integer. Retrieved 8 June 2024, from https://numbermatics.com/n/13408107528192000/
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The information we have on file for 13408107528192000 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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