13680836284800
13,680,836,284,800 is an even composite number composed of six prime numbers multiplied together.
13680836284800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13680836284800:
27 × 3 × 52 × 151 × 1613 × 5851
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 151 × 1613 × 5851)See below for interesting mathematical facts about the number 13680836284800 from the Numbermatics database.
Names of 13680836284800
- Cardinal: 13680836284800 can be written as Thirteen trillion, six hundred eighty billion, eight hundred thirty-six million, two hundred eighty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36808362848 × 1013
Factors of 13680836284800
Divisors of 13680836284800
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 151 160 192 200 240 300 302 320 384 400 453 480 600 604 640 755 800 906 960 1200 1208 1510 1600 1613 1812 1920 2265 2400 2416 3020 3200 3226 3624 3775 4530 4800 4832 4839 5851 6040 6452 7248 7550 8065 9060 9600 9664 9678 11325 11702 12080 12904 14496 15100 16130 17553 18120 19328 19356 22650 23404 24160 24195 25808 28992 29255 30200 32260 35106 36240 38712 40325 45300 46808 48320 48390 51616 57984 58510 60400 64520 70212 72480 77424 80650 87765 90600 93616 96640 96780 103232 117020 120800 120975 129040 140424 144960 146275 154848 161300 175530 181200 187232 193560 206464 234040 241600 241950 243563 258080 280848 289920 292550 309696 322600 351060 362400 374464 387120 438825 468080 483200 483900 487126 516160 561696 585100 619392 645200 702120 724800 730689 748928 774240 877650 883501 936160 967800 974252 1032320 1123392 1170200 1217815 1290400 1404240 1449600 1461378 1548480 1755300 1767002 1872320 1935600 1948504 2246784 2340400 2435630 2580800 2650503 2808480 2922756 3096960 3510600 3534004 3653445 3744640 3871200 3897008 4417505 4680800 4871260 5161600 5301006 5616960 5845512 6089075 7021200 7068008 7306890 7742400 7794016 8835010 9361600 9437663 9742520 10602012 11233920 11691024 12178150 13252515 14042400 14136016 14613780 15484800 15588032 17670020 18267225 18723200 18875326 19485040 21204024 22087525 23382048 24356300 26505030 28084800 28272032 28312989 29227560 31176064 35340040 36534450 37750652 38970080 42408048 44175050 46764096 47188315 48712600 53010060 56169600 56544064 56625978 58455120 66262575 70680080 73068900 75501304 77940160 84816096 88350100 93528192 94376630 97425200 106020120 113088128 113251956 116910240 132525150 141360160 141564945 146137800 151002608 155880320 169632192 176700200 188753260 194850400 212040240 226503912 233820480 235941575 265050300 282720320 283129890 292275600 302005216 339264384 353400400 377506520 389700800 424080480 453007824 467640960 471883150 530100600 565440640 566259780 584551200 604010432 706800800 707824725 755013040 779401600 848160960 906015648 943766300 1060201200 1132519560 1169102400 1208020864 1413601600 1415649450 1425087113 1510026080 1696321920 1812031296 1887532600 2120402400 2265039120 2338204800 2827203200 2831298900 2850174226 3020052160 3624062592 3775065200 4240804800 4275261339 4530078240 5662597800 5700348452 6040104320 7125435565 7550130400 8481609600 8550522678 9060156480 11325195600 11400696904 14250871130 15100260800 17101045356 18120312960 21376306695 22650391200 22801393808 28501742260 30200521600 34202090712 35627177825 42752613390 45300782400 45602787616 57003484520 68404181424 71254355650 85505226780 90601564800 91205575232 106881533475 114006969040 136808362848 142508711300 171010453560 182411150464 213763066950 228013938080 273616725696 285017422600 342020907120 427526133900 456027876160 547233451392 570034845200 684041814240 855052267800 912055752320 1140069690400 1368083628480 1710104535600 2280139380800 2736167256960 3420209071200 4560278761600 6840418142400 13680836284800
- Sum of all divisors σ(n): 45395551998720
- Sum of proper divisors (its aliquot sum) s(n): 31714715713920
- 13680836284800 is an abundant number, because the sum of its proper divisors (31714715713920) is greater than itself. Its abundance is 18033879429120
Bases of 13680836284800
- Binary: 110001110001010100010110001100010001100000002
- Hexadecimal: 0xC7151631180
- Base-36: 4UKW0P11C
Squares and roots of 13680836284800
- 13680836284800 squared (136808362848002) is 187165281451500266711040000
- 13680836284800 cubed (136808362848003) is 2560577573736489260217273588744192000000
-
The
square root of 13680836284800 is 3698761.4528109271 -
The
cube root of 13680836284800 is 23916.8629700753
Scales and comparisons
How big is 13680836284800?- 13,680,836,284,800 seconds is equal to 435,008 years, 14 weeks, 2 days, 13 hours, 20 minutes.
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To count from 1 to 13,680,836,284,800 would take you about one million, eighty-seven thousand, five 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 13680836284800 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680836284800
- 13680836284800 backwards is 00848263808631
- The number of decimal digits it has is: 14
- The sum of 13680836284800's digits is 57
- More coming soon!
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