108120131600894668800
108,120,131,600,894,668,800 is an even composite number composed of four prime numbers multiplied together.
What does the number 108120131600894668800 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 312 divisors.
108120131600894668800 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred twelve divisors.
Prime factorization of 108120131600894668800:
212 × 33 × 52 × 39105950376481
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 39105950376481)See below for interesting mathematical facts about the number 108120131600894668800 from the Numbermatics database.
Names of 108120131600894668800
- Cardinal: 108120131600894668800 can be written as One hundred eight quintillion, one hundred twenty quadrillion, one hundred thirty-one trillion, six hundred billion, eight hundred ninety-four million, six hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 1.081201316008946688 × 1020
Factors of 108120131600894668800
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 18
- Sum of prime factors: 39105950376491
Divisors of 108120131600894668800
- Number of divisors d(n): 312
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1024 1080 1152 1200 1280 1350 1440 1536 1600 1728 1800 1920 2048 2160 2304 2400 2560 2700 2880 3072 3200 3456 3600 3840 4096 4320 4608 4800 5120 5400 5760 6144 6400 6912 7200 7680 8640 9216 9600 10240 10800 11520 12288 12800 13824 14400 15360 17280 18432 19200 20480 21600 23040 25600 27648 28800 30720 34560 36864 38400 43200 46080 51200 55296 57600 61440 69120 76800 86400 92160 102400 110592 115200 138240 153600 172800 184320 230400 276480 307200 345600 460800 552960 691200 921600 1382400 2764800 39105950376481 78211900752962 117317851129443 156423801505924 195529751882405 234635702258886 312847603011848 351953553388329 391059503764810 469271404517772 586589255647215 625695206023696 703907106776658 782119007529620 938542809035544 977648759412025 1055860660164987 1173178511294430 1251390412047392 1407814213553316 1564238015059240 1759767766941645 1877085618071088 1955297518824050 2111721320329974 2346357022588860 2502780824094784 2815628427106632 2932946278236075 3128476030118480 3519535533883290 3754171236142176 3910595037648100 4223442640659948 4692714045177720 5005561648189568 5279303300824935 5631256854213264 5865892556472150 6256952060236960 7039071067766580 7508342472284352 7821190075296200 8446885281319896 8798838834708225 9385428090355440 10011123296379136 10558606601649870 11262513708426528 11731785112944300 12513904120473920 14078142135533160 15016684944568704 15642380150592400 16893770562639792 17597677669416450 18770856180710880 20022246592758272 21117213203299740 22525027416853056 23463570225888600 25027808240947840 26396516504124675 28156284271066320 30033369889137408 31284760301184800 33787541125279584 35195355338832900 37541712361421760 40044493185516544 42234426406599480 45050054833706112 46927140451777200 50055616481895680 52793033008249350 56312568542132640 60066739778274816 62569520602369600 67575082250559168 70390710677665800 75083424722843520 80088986371033088 84468852813198960 90100109667412224 93854280903554400 100111232963791360 105586066016498700 112625137084265280 120133479556549632 125139041204739200 135150164501118336 140781421355331600 150166849445687040 160177972742066176 168937705626397920 180200219334824448 187708561807108800 200222465927582720 211172132032997400 225250274168530560 240266959113099264 250278082409478400 270300329002236672 281562842710663200 300333698891374080 337875411252795840 360400438669648896 375417123614217600 400444931855165440 422344264065994800 450500548337061120 480533918226198528 500556164818956800 540600658004473344 563125685421326400 600667397782748160 675750822505591680 720800877339297792 750834247228435200 800889863710330880 844688528131989600 901001096674122240 1001112329637913600 1081201316008946688 1126251370842652800 1201334795565496320 1351501645011183360 1441601754678595584 1501668494456870400 1689377056263979200 1802002193348244480 2002224659275827200 2162402632017893376 2252502741685305600 2402669591130992640 2703003290022366720 3003336988913740800 3378754112527958400 3604004386696488960 4004449318551654400 4324805264035786752 4505005483370611200 5406006580044733440 6006673977827481600 6757508225055916800 7208008773392977920 9010010966741222400 10812013160089466880 12013347955654963200 13515016450111833600 18020021933482444800 21624026320178933760 27030032900223667200 36040043866964889600 54060065800447334400 108120131600894668800
- Sum of all divisors σ(n): 397192881021867436880
- Sum of proper divisors (its aliquot sum) s(n): 289072749420972768080
- 108120131600894668800 is an abundant number, because the sum of its proper divisors (289072749420972768080) is greater than itself. Its abundance is 180952617820078099280
Bases of 108120131600894668800
- Binary: 10111011100011101111101111011011000100100111101000000110000000000002
- Hexadecimal: 0x5DC77DED893D03000
- Base-36: MTG23XJC4ETC0
Squares and roots of 108120131600894668800
- 108120131600894668800 squared (1081201316008946688002) is 11689962857394781976789628592261693440000
- 108120131600894668800 cubed (1081201316008946688003) is 1263920322551094505525472749627893041236741162555932672000000
-
The
square root of 108120131600894668800 is 10398083073.3791826541 -
The
cube root of 108120131600894668800 is 4763968.2148611725
Scales and comparisons
How big is 108120131600894668800?- 108,120,131,600,894,668,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 108,120,131,600,894,668,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 108120131600894668800 cubic inches would be around 396997.4 feet tall.
Recreational maths with 108120131600894668800
- 108120131600894668800 backwards is 008866498006131021801
- 108120131600894668800 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 108120131600894668800's digits is 72
- More coming soon!
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