13985810408064000
13,985,810,408,064,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13985810408064000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3168 divisors.
13985810408064000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, one hundred sixty-eight divisors.
Prime factorization of 13985810408064000:
210 × 3 × 53 × 112 × 292 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 29 × 29 × 71 × 71 × 71)See below for interesting mathematical facts about the number 13985810408064000 from the Numbermatics database.
Names of 13985810408064000
- Cardinal: 13985810408064000 can be written as Thirteen quadrillion, nine hundred eighty-five trillion, eight hundred ten billion, four hundred eight million, sixty-four thousand.
Scientific notation
- Scientific notation: 1.3985810408064 × 1016
Factors of 13985810408064000
Divisors of 13985810408064000
- Number of divisors d(n): 3168
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 29 30 32 33 40 44 48 50 55 58 60 64 66 71 75 80 87 88 96 100 110 116 120 121 125 128 132 142 145 150 160 165 174 176 192 200 213 220 232 240 242 250 256 264 275 284 290 300 319 320 330 348 352 355 363 375 384 400 426 435 440 464 480 484 500 512 528 550 568 580 600 605 638 640 660 696 704 710 725 726 750 768 781 800 825 841 852 870 880 928 957 960 968 1000 1024 1056 1065 1100 1136 1160 1200 1210 1276 1280 1320 1375 1392 1408 1420 1450 1452 1500 1536 1562 1595 1600 1650 1682 1704 1740 1760 1775 1815 1856 1914 1920 1936 2000 2059 2112 2130 2175 2200 2272 2320 2343 2400 2420 2523 2552 2560 2640 2750 2784 2816 2840 2900 2904 3000 3025 3072 3124 3190 3200 3300 3364 3408 3480 3509 3520 3550 3625 3630 3712 3828 3840 3872 3905 4000 4118 4125 4205 4224 4260 4350 4400 4544 4640 4686 4785 4800 4840 5041 5046 5104 5120 5280 5325 5500 5568 5632 5680 5800 5808 6000 6050 6177 6248 6380 6400 6600 6728 6816 6960 7018 7040 7100 7250 7260 7424 7656 7680 7744 7810 7975 8000 8236 8250 8410 8448 8520 8591 8700 8800 8875 9075 9088 9251 9280 9372 9570 9600 9680 10082 10092 10208 10295 10527 10560 10650 10875 11000 11136 11264 11360 11600 11616 11715 12000 12100 12354 12496 12615 12760 12800 13200 13456 13632 13920 14036 14080 14200 14500 14520 14848 15123 15125 15312 15360 15488 15620 15950 16000 16472 16500 16820 16896 17040 17182 17400 17545 17600 17750 18150 18176 18502 18560 18744 19140 19200 19360 19525 20164 20184 20416 20590 21025 21054 21120 21300 21750 22000 22272 22649 22720 23200 23232 23430 23925 24000 24200 24708 24992 25205 25230 25520 25600 25773 26400 26625 26912 27264 27753 27840 28072 28160 28400 29000 29040 29696 30246 30250 30624 30885 30976 31240 31900 32000 32944 33000 33640 33792 34080 34364 34800 35090 35200 35500 36300 36352 37004 37120 37488 38280 38400 38720 39050 39875 40328 40368 40832 41180 42050 42108 42240 42600 42955 43500 44000 44544 45298 45375 45440 46255 46400 46464 46860 47850 48000 48400 49416 49984 50410 50460 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5480333232000 5543325568000 5779260499200 5827421003360 5969189248000 6028366555200 6155726412000 6357186549120 6430257658880 6566108172800 6622069322000 6792525696000 6992905204032 7224075624000 7284276254200 7307110976000 7535458194000 7705680665600 7879329807360 7946483186400 8037822073600 8207635216000 8314988352000 8476248732160 8741131505040 8768533171200 8953783872000 9105345317750 9323873605376 9632100832000 9645386488320 9849162259200 9933103983000 10047277592000 10171498478592 10595310915200 10926414381300 10960666464000 11558520998400 11654842006720 12056733110400 12311452824000 12714373098240 13132216345600 13244138644000 13658017976625 13985810408064 14448151248000 14568552508400 14614221952000 15070916388000 15892966372800 16075644147200 16415270432000 16629976704000 16952497464320 17482263010080 17907567744000 18210690635500 18647747210752 19264201664000 19290772976640 19698324518400 19866207966000 20094555184000 21190621830400 21852828762600 21921332928000 23117041996800 23309684013440 24113466220800 24622905648000 25428746196480 26488277288000 27316035953250 27971620816128 28896302496000 29137105016800 30141832776000 31785932745600 32151288294400 32830540864000 34964526020160 36421381271000 37295494421504 38528403328000 39396649036800 39732415932000 40189110368000 42381243660800 43705657525200 43842665856000 46619368026880 48226932441600 49245811296000 50857492392960 52976554576000 54632071906500 55943241632256 57792604992000 58274210033600 60283665552000 63571865491200 65661081728000 69929052040320 72842762542000 79464831864000 80378220736000 84762487321600 87411315050400 93238736053760 96453864883200 98491622592000 105953109152000 109264143813000 111886483264512 115585209984000 116548420067200 120567331104000 127143730982400 139858104080640 145685525084000 158929663728000 160756441472000 174822630100800 186477472107520 196983245184000 211906218304000 218528287626000 233096840134400 241134662208000 254287461964800 279716208161280 291371050168000 317859327456000 349645260201600 423812436608000 437056575252000 466193680268800 482269324416000 559432416322560 582742100336000 635718654912000 699290520403200 874113150504000 932387360537600 1165484200672000 1271437309824000 1398581040806400 1748226301008000 2330968401344000 2797162081612800 3496452602016000 4661936802688000 6992905204032000 13985810408064000
- Sum of all divisors σ(n): 53716482492132096
- Sum of proper divisors (its aliquot sum) s(n): 39730672084068096
- 13985810408064000 is an abundant number, because the sum of its proper divisors (39730672084068096) is greater than itself. Its abundance is 25744861676004096
Bases of 13985810408064000
- Binary: 1100011011000000000101001111010100010011000100000000002
- Hexadecimal: 0x31B0053D44C400
- Base-36: 3TPK0LQ1CLC
Squares and roots of 13985810408064000
- 13985810408064000 squared (139858104080640002) is 195602892770311310196228096000000
- 13985810408064000 cubed (139858104080640003) is 2735664973554446460679823351231381766144000000000
-
The
square root of 13985810408064000 is 118261618.4908019935 -
The
cube root of 13985810408064000 is 240932.7728561685
Scales and comparisons
How big is 13985810408064000?- 13,985,810,408,064,000 seconds is equal to 444,705,510 years, 1 week, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 13,985,810,408,064,000 would take you about one billion, three hundred thirty-four million, one hundred sixteen thousand, five hundred thirty 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 13985810408064000 cubic inches would be around 20077.7 feet tall.
Recreational maths with 13985810408064000
- 13985810408064000 backwards is 00046080401858931
- The number of decimal digits it has is: 17
- The sum of 13985810408064000's digits is 57
- More coming soon!
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"Number 13985810408064000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 13985810408064000 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/13985810408064000/
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The information we have on file for 13985810408064000 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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