48648313686405939200
48,648,313,686,405,939,200 is an even composite number composed of three prime numbers multiplied together.
What does the number 48648313686405939200 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 420 divisors.
48648313686405939200 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 48648313686405939200:
227 × 52 × 3474
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 347 × 347 × 347 × 347)See below for interesting mathematical facts about the number 48648313686405939200 from the Numbermatics database.
Names of 48648313686405939200
- Cardinal: 48648313686405939200 can be written as Forty-eight quintillion, six hundred forty-eight quadrillion, three hundred thirteen trillion, six hundred eighty-six billion, four hundred five million, nine hundred thirty-nine thousand, two hundred.
Scientific notation
- Scientific notation: 4.86483136864059392 × 1019
Factors of 48648313686405939200
Divisors of 48648313686405939200
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 347 400 512 640 694 800 1024 1280 1388 1600 1735 2048 2560 2776 3200 3470 4096 5120 5552 6400 6940 8192 8675 10240 11104 12800 13880 16384 17350 20480 22208 25600 27760 32768 34700 40960 44416 51200 55520 65536 69400 81920 88832 102400 111040 120409 131072 138800 163840 177664 204800 222080 240818 262144 277600 327680 355328 409600 444160 481636 524288 555200 602045 655360 710656 819200 888320 963272 1048576 1110400 1204090 1310720 1421312 1638400 1776640 1926544 2097152 2220800 2408180 2621440 2842624 3010225 3276800 3553280 3853088 4194304 4441600 4816360 5242880 5685248 6020450 6553600 7106560 7706176 8388608 8883200 9632720 10485760 11370496 12040900 13107200 14213120 15412352 16777216 17766400 19265440 20971520 22740992 24081800 26214400 28426240 30824704 33554432 35532800 38530880 41781923 41943040 45481984 48163600 52428800 56852480 61649408 67108864 71065600 77061760 83563846 83886080 90963968 96327200 104857600 113704960 123298816 134217728 142131200 154123520 167127692 167772160 181927936 192654400 208909615 209715200 227409920 246597632 284262400 308247040 334255384 335544320 363855872 385308800 417819230 419430400 454819840 493195264 568524800 616494080 668510768 671088640 727711744 770617600 835638460 838860800 909639680 986390528 1044548075 1137049600 1232988160 1337021536 1455423488 1541235200 1671276920 1677721600 1819279360 1972781056 2089096150 2274099200 2465976320 2674043072 2910846976 3082470400 3342553840 3355443200 3638558720 3945562112 4178192300 4548198400 4931952640 5348086144 5821693952 6164940800 6685107680 7277117440 7891124224 8356384600 9096396800 9863905280 10696172288 11643387904 12329881600 13370215360 14498327281 14554234880 15782248448 16712769200 18192793600 19727810560 21392344576 23286775808 24659763200 26740430720 28996654562 29108469760 31564496896 33425538400 36385587200 39455621120 42784689152 46573551616 49319526400 53480861440 57993309124 58216939520 63128993792 66851076800 72491636405 72771174400 78911242240 85569378304 98639052800 106961722880 115986618248 116433879040 126257987584 133702153600 144983272810 145542348800 157822484480 171138756608 197278105600 213923445760 231973236496 232867758080 252515975168 267404307200 289966545620 291084697600 315644968960 342277513216 362458182025 394556211200 427846891520 463946472992 505031950336 534808614400 579933091240 582169395200 631289937920 684555026432 724916364050 789112422400 855693783040 927892945984 1010063900672 1069617228800 1159866182480 1164338790400 1262579875840 1369110052864 1449832728100 1578224844800 1711387566080 1855785891968 2020127801344 2139234457600 2319732364960 2525159751680 2738220105728 2899665456200 3156449689600 3422775132160 3711571783936 4040255602688 4278468915200 4639464729920 5050319503360 5476440211456 5799330912400 6312899379200 6845550264320 7423143567872 8080511205376 8556937830400 9278929459840 10100639006720 10952880422912 11598661824800 12625798758400 13691100528640 14846287135744 16161022410752 17113875660800 18557858919680 20201278013440 21905760845824 23197323649600 25251597516800 27382201057280 29692574271488 34227751321600 37115717839360 40402556026880 43811521691648 46394647299200 50503195033600 54764402114560 59385148542976 68455502643200 74231435678720 80805112053760 87623043383296 92789294598400 101006390067200 109528804229120 118770297085952 136911005286400 148462871357440 175246086766592 185578589196800 202012780134400 219057608458240 237540594171904 273822010572800 296925742714880 350492173533184 371157178393600 404025560268800 438115216916480 475081188343808 547644021145600 593851485429760 700984347066368 742314356787200 876230433832960 950162376687616 1095288042291200 1187702970859520 1401968694132736 1484628713574400 1752460867665920 1900324753375232 2190576084582400 2375405941719040 2803937388265472 2969257427148800 3504921735331840 3800649506750464 4381152169164800 4750811883438080 5607874776530944 5938514854297600 7009843470663680 7601299013500928 8762304338329600 9501623766876160 11877029708595200 14019686941327360 15202598027001856 17524608676659200 19003247533752320 23754059417190400 28039373882654720 30405196054003712 35049217353318400 38006495067504640 47508118834380800 60810392108007424 70098434706636800 76012990135009280 95016237668761600 121620784216014848 140196869413273600 152025980270018560 190032475337523200 243241568432029696 304051960540037120 380064950675046400 486483136864059392 608103921080074240 760129901350092800 972966273728118784 1216207842160148480 1520259802700185600 1945932547456237568 2432415684320296960 3040519605400371200 4864831368640593920 6081039210800742400 9729662737281187840 12162078421601484800 24324156843202969600 48648313686405939200
- Sum of all divisors σ(n): 120996510606955684905
- Sum of proper divisors (its aliquot sum) s(n): 72348196920549745705
- 48648313686405939200 is an abundant number, because the sum of its proper divisors (72348196920549745705) is greater than itself. Its abundance is 23699883234143806505
Bases of 48648313686405939200
- Binary: 1010100011001000011000011110001100010010000000000000000000000000002
- Hexadecimal: 0x2A321878C48000000
- Base-36: A9LURY3TKV4E8
Squares and roots of 48648313686405939200
- 48648313686405939200 squared (486483136864059392002) is 2366658424530951421674252569034096640000
- 48648313686405939200 cubed (486483136864059392003) is 115133941425157001605164053083315412120830261002764288000000
-
The
square root of 48648313686405939200 is 6974834312.4697907909 -
The
cube root of 48648313686405939200 is 3650530.0709220929
Scales and comparisons
How big is 48648313686405939200?- 48,648,313,686,405,939,200 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 48,648,313,686,405,939,200 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 48648313686405939200 cubic inches would be around 304210.8 feet tall.
Recreational maths with 48648313686405939200
- 48648313686405939200 backwards is 00293950468631384684
- The number of decimal digits it has is: 20
- The sum of 48648313686405939200's digits is 89
- More coming soon!
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The information we have on file for 48648313686405939200 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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