23198636146660070400
23,198,636,146,660,070,400 is an even composite number composed of four prime numbers multiplied together.
23198636146660070400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 23198636146660070400:
210 × 33 × 52 × 33562841647367
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 33562841647367)See below for interesting mathematical facts about the number 23198636146660070400 from the Numbermatics database.
Names of 23198636146660070400
- Cardinal: 23198636146660070400 can be written as Twenty-three quintillion, one hundred ninety-eight quadrillion, six hundred thirty-six trillion, one hundred forty-six billion, six hundred sixty million, seventy thousand, four hundred.
Scientific notation
- Scientific notation: 2.31986361466600704 × 1019
Factors of 23198636146660070400
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 33562841647377
Divisors of 23198636146660070400
- Number of divisors d(n): 264
-
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 2160 2304 2400 2560 2700 2880 3072 3200 3456 3600 3840 4320 4608 4800 5120 5400 5760 6400 6912 7200 7680 8640 9216 9600 10800 11520 12800 13824 14400 15360 17280 19200 21600 23040 25600 27648 28800 34560 38400 43200 46080 57600 69120 76800 86400 115200 138240 172800 230400 345600 691200 33562841647367 67125683294734 100688524942101 134251366589468 167814208236835 201377049884202 268502733178936 302065574826303 335628416473670 402754099768404 503442624710505 537005466357872 604131149652606 671256832947340 805508199536808 839071041184175 906196724478909 1006885249421010 1074010932715744 1208262299305212 1342513665894680 1510327874131515 1611016399073616 1678142082368350 1812393448957818 2013770498842020 2148021865431488 2416524598610424 2517213123552525 2685027331789360 3020655748263030 3222032798147232 3356284164736700 3624786897915636 4027540997684040 4296043730862976 4530983622394545 4833049197220848 5034426247105050 5370054663578720 6041311496526060 6444065596294464 6712568329473400 7249573795831272 7551639370657575 8055081995368080 8592087461725952 9061967244789090 9666098394441696 10068852494210100 10740109327157440 12082622993052120 12888131192588928 13425136658946800 14499147591662544 15103278741315150 16110163990736160 17184174923451904 18123934489578180 19332196788883392 20137704988420200 21480218654314880 22654918111972725 24165245986104240 25776262385177856 26850273317893600 28998295183325088 30206557482630300 32220327981472320 34368349846903808 36247868979156360 38664393577766784 40275409976840400 42960437308629760 45309836223945450 48330491972208480 51552524770355712 53700546635787200 57996590366650176 60413114965260600 64440655962944640 72495737958312720 77328787155533568 80550819953680800 85920874617259520 90619672447890900 96660983944416960 103105049540711424 107401093271574400 115993180733300352 120826229930521200 128881311925889280 144991475916625440 154657574311067136 161101639907361600 171841749234519040 181239344895781800 193321967888833920 214802186543148800 231986361466600704 241652459861042400 257762623851778560 289982951833250880 309315148622134272 322203279814723200 362478689791563600 386643935777667840 429604373086297600 463972722933201408 483304919722084800 515525247703557120 579965903666501760 644406559629446400 724957379583127200 773287871555335680 859208746172595200 927945445866402816 966609839444169600 1159931807333003520 1288813119258892800 1449914759166254400 1546575743110671360 1933219678888339200 2319863614666007040 2577626238517785600 2899829518332508800 3866439357776678400 4639727229332014080 5799659036665017600 7732878715553356800 11599318073330035200 23198636146660070400
- Sum of all divisors σ(n): 85191889696681247040
- Sum of proper divisors (its aliquot sum) s(n): 61993253550021176640
- 23198636146660070400 is an abundant number, because the sum of its proper divisors (61993253550021176640) is greater than itself. Its abundance is 38794617403361106240
Bases of 23198636146660070400
- Binary: 101000001111100100001110010101001111010110011010111010100000000002
- Hexadecimal: 0x141F21CA9EB35D400
- Base-36: 4W9326NZ20AO0
Squares and roots of 23198636146660070400
- 23198636146660070400 squared (231986361466600704002) is 538176719065123199397125049732956160000
- 23198636146660070400 cubed (231986361466600704003) is 12484965888195088903701314083492344511236611625713664000000
-
The
square root of 23198636146660070400 is 4816496252.1173075651 -
The
cube root of 23198636146660070400 is 2852030.4048646423
Scales and comparisons
How big is 23198636146660070400?- 23,198,636,146,660,070,400 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 23,198,636,146,660,070,400 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 23198636146660070400 cubic inches would be around 237669.2 feet tall.
Recreational maths with 23198636146660070400
- 23198636146660070400 backwards is 00407006664163689132
- 23198636146660070400 is a
Harshad number . - The number of decimal digits it has is: 20
- The sum of 23198636146660070400's digits is 72
- More coming soon!
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