13680876748800
13,680,876,748,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 13680876748800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 384 divisors.
13680876748800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 13680876748800:
215 × 3 × 52 × 31 × 179573
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 179573)See below for interesting mathematical facts about the number 13680876748800 from the Numbermatics database.
Names of 13680876748800
- Cardinal: 13680876748800 can be written as Thirteen trillion, six hundred eighty billion, eight hundred seventy-six million, seven hundred forty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.36808767488 × 1013
Factors of 13680876748800
Divisors of 13680876748800
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1024 1200 1240 1280 1488 1536 1550 1600 1860 1920 1984 2048 2325 2400 2480 2560 2976 3072 3100 3200 3720 3840 3968 4096 4650 4800 4960 5120 5952 6144 6200 6400 7440 7680 7936 8192 9300 9600 9920 10240 11904 12288 12400 12800 14880 15360 15872 16384 18600 19200 19840 20480 23808 24576 24800 25600 29760 30720 31744 32768 37200 38400 39680 40960 47616 49152 49600 51200 59520 61440 63488 74400 76800 79360 81920 95232 98304 99200 102400 119040 122880 126976 148800 153600 158720 163840 179573 190464 198400 204800 238080 245760 253952 297600 307200 317440 359146 380928 396800 409600 476160 491520 507904 538719 595200 614400 634880 718292 761856 793600 819200 897865 952320 1015808 1077438 1190400 1228800 1269760 1436584 1523712 1587200 1795730 1904640 2154876 2380800 2457600 2539520 2693595 2873168 3047424 3174400 3591460 3809280 4309752 4489325 4761600 5079040 5387190 5566763 5746336 6348800 7182920 7618560 8619504 8978650 9523200 10774380 11133526 11492672 12697600 13467975 14365840 15237120 16700289 17239008 17957300 19046400 21548760 22267052 22985344 25395200 26935950 27833815 28731680 33400578 34478016 35914600 38092800 43097520 44534104 45970688 53871900 55667630 57463360 66801156 68956032 71829200 76185600 83501445 86195040 89068208 91941376 107743800 111335260 114926720 133602312 137912064 139169075 143658400 167002890 172390080 178136416 183882752 215487600 222670520 229853440 267204624 275824128 278338150 287316800 334005780 344780160 356272832 367765504 417507225 430975200 445341040 459706880 534409248 551648256 556676300 574633600 668011560 689560320 712545664 735531008 835014450 861950400 890682080 919413760 1068818496 1103296512 1113352600 1149267200 1336023120 1379120640 1425091328 1471062016 1670028900 1723900800 1781364160 1838827520 2137636992 2206593024 2226705200 2298534400 2672046240 2758241280 2850182656 2942124032 3340057800 3447801600 3562728320 3677655040 4275273984 4413186048 4453410400 4597068800 5344092480 5516482560 5700365312 5884248064 6680115600 6895603200 7125456640 7355310080 8550547968 8826372096 8906820800 9194137600 10688184960 11032965120 11400730624 13360231200 13791206400 14250913280 14710620160 17101095936 17652744192 17813641600 18388275200 21376369920 22065930240 22801461248 26720462400 27582412800 28501826560 29421240320 34202191872 35627283200 36776550400 42752739840 44131860480 45602922496 53440924800 55164825600 57003653120 68404383744 71254566400 73553100800 85505479680 88263720960 91205844992 106881849600 110329651200 114007306240 136808767488 142509132800 147106201600 171010959360 182411689984 213763699200 220659302400 228014612480 273617534976 285018265600 342021918720 427527398400 441318604800 456029224960 547235069952 570036531200 684043837440 855054796800 912058449920 1140073062400 1368087674880 1710109593600 2280146124800 2736175349760 3420219187200 4560292249600 6840438374400 13680876748800
- Sum of all divisors σ(n): 46696940133120
- Sum of proper divisors (its aliquot sum) s(n): 33016063384320
- 13680876748800 is an abundant number, because the sum of its proper divisors (33016063384320) is greater than itself. Its abundance is 19335186635520
Bases of 13680876748800
- Binary: 110001110001010100111100110010000000000000002
- Hexadecimal: 0xC7153CC8000
- Base-36: 4UKWOSB9C
Squares and roots of 13680876748800
- 13680876748800 squared (136808767488002) is 187166388615856458301440000
- 13680876748800 cubed (136808767488003) is 2560600294171535635374487237558272000000
-
The
square root of 13680876748800 is 3698766.9227460115 -
The
cube root of 13680876748800 is 23916.8865497983
Scales and comparisons
How big is 13680876748800?- 13,680,876,748,800 seconds is equal to 435,009 years, 29 weeks, 1 day, 21 hours, 20 minutes.
-
To count from 1 to 13,680,876,748,800 would take you about one million, eighty-seven thousand, five hundred twenty-three 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 13680876748800 cubic inches would be around 1993.1 feet tall.
Recreational maths with 13680876748800
- 13680876748800 backwards is 00884767808631
- The number of decimal digits it has is: 14
- The sum of 13680876748800's digits is 66
- More coming soon!
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