134377136113143945600
134,377,136,113,143,945,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 134377136113143945600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
134377136113143945600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 134377136113143945600:
27 × 32 × 52 × 43 × 108508669342009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 43 × 108508669342009)See below for interesting mathematical facts about the number 134377136113143945600 from the Numbermatics database.
Names of 134377136113143945600
- Cardinal: 134377136113143945600 can be written as One hundred thirty-four quintillion, three hundred seventy-seven quadrillion, one hundred thirty-six trillion, one hundred thirteen billion, one hundred forty-three million, nine hundred forty-five thousand, six hundred.
Scientific notation
- Scientific notation: 1.343771361131439456 × 1020
Factors of 134377136113143945600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 108508669342062
Divisors of 134377136113143945600
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 43 45 48 50 60 64 72 75 80 86 90 96 100 120 128 129 144 150 160 172 180 192 200 215 225 240 258 288 300 320 344 360 384 387 400 430 450 480 516 576 600 640 645 688 720 774 800 860 900 960 1032 1075 1152 1200 1290 1376 1440 1548 1600 1720 1800 1920 1935 2064 2150 2400 2580 2752 2880 3096 3200 3225 3440 3600 3870 4128 4300 4800 5160 5504 5760 6192 6450 6880 7200 7740 8256 8600 9600 9675 10320 12384 12900 13760 14400 15480 16512 17200 19350 20640 24768 25800 27520 28800 30960 34400 38700 41280 49536 51600 61920 68800 77400 82560 103200 123840 137600 154800 206400 247680 309600 412800 619200 1238400 108508669342009 217017338684018 325526008026027 434034677368036 542543346710045 651052016052054 868069354736072 976578024078081 1085086693420090 1302104032104108 1627630040130135 1736138709472144 1953156048156162 2170173386840180 2604208064208216 2712716733550225 3255260080260270 3472277418944288 3906312096312324 4340346773680360 4665872781706387 4882890120390405 5208416128416432 5425433467100450 6510520160520540 6944554837888576 7812624192624648 8138150200650675 8680693547360720 9331745563412774 9765780240780810 10416832256832864 10850866934200900 13021040321041080 13889109675777152 13997618345119161 15625248385249296 16276300401301350 17361387094721440 18663491126825548 19531560481561620 20833664513665728 21701733868401800 23329363908531935 24414450601952025 26042080642082160 27995236690238322 31250496770498592 32552600802602700 34722774189442880 37326982253651096 39063120963123240 41667329027331456 41992855035357483 43403467736803600 46658727817063870 48828901203904050 52084161284164320 55990473380476644 62500993540997184 65105201605205400 69445548378885760 69988091725595805 74653964507302192 78126241926246480 83985710070714966 86806935473607200 93317455634127740 97657802407808100 104168322568328640 111980946760953288 116646819542659675 125001987081994368 130210403210410800 139976183451191610 149307929014604384 156252483852492960 167971420141429932 173613870947214400 186634911268255480 195315604815616200 208336645136657280 209964275176787415 223961893521906576 233293639085319350 260420806420821600 279952366902383220 298615858029208768 312504967704985920 335942840282859864 347227741894428800 349940458627979025 373269822536510960 390631209631232400 419928550353574830 447923787043813152 466587278170638700 520841612841643200 559904733804766440 597231716058417536 625009935409971840 671885680565719728 699880917255958050 746539645073021920 781262419262464800 839857100707149660 895847574087626304 933174556341277400 1041683225683286400 1049821375883937075 1119809467609532880 1343771361131439456 1399761834511916100 1493079290146043840 1562524838524929600 1679714201414299320 1791695148175252608 1866349112682554800 2099642751767874150 2239618935219065760 2687542722262878912 2799523669023832200 2986158580292087680 3125049677049859200 3359428402828598640 3732698225365109600 4199285503535748300 4479237870438131520 5375085444525757824 5599047338047664400 6718856805657197280 7465396450730219200 8398571007071496600 8958475740876263040 11198094676095328800 13437713611314394560 14930792901460438400 16797142014142993200 22396189352190657600 26875427222628789120 33594284028285986400 44792378704381315200 67188568056571972800 134377136113143945600
- Sum of all divisors σ(n): 490639309816992936600
- Sum of proper divisors (its aliquot sum) s(n): 356262173703848991000
- 134377136113143945600 is an abundant number, because the sum of its proper divisors (356262173703848991000) is greater than itself. Its abundance is 221885037590705045400
Bases of 134377136113143945600
- Binary: 11101001000110110110111110101010101100101100100001010011001100000002
- Hexadecimal: 0x748DB7D5596429980
- Base-36: SCXN37YA72OW0
Squares and roots of 134377136113143945600
- 134377136113143945600 squared (1343771361131439456002) is 18057214709970414743737155625935759360000
- 134377136113143945600 cubed (1343771361131439456003) is 2426476798905959496827985293174369339621602466122530816000000
-
The
square root of 134377136113143945600 is 11592115256.2051394399 -
The
cube root of 134377136113143945600 is 5122026.1770373443
Scales and comparisons
How big is 134377136113143945600?- 134,377,136,113,143,945,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 134,377,136,113,143,945,600 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 134377136113143945600 cubic inches would be around 426835.5 feet tall.
Recreational maths with 134377136113143945600
- 134377136113143945600 backwards is 006549341311631773431
- 134377136113143945600 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 134377136113143945600's digits is 72
- More coming soon!
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