428426189749616640000
428,426,189,749,616,640,000 is an even composite number composed of four prime numbers multiplied together.
428426189749616640000 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 428426189749616640000:
226 × 3 × 54 × 237
(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 × 3 × 5 × 5 × 5 × 5 × 23 × 23 × 23 × 23 × 23 × 23 × 23)See below for interesting mathematical facts about the number 428426189749616640000 from the Numbermatics database.
Names of 428426189749616640000
- Cardinal: 428426189749616640000 can be written as Four hundred twenty-eight quintillion, four hundred twenty-six quadrillion, one hundred eighty-nine trillion, seven hundred forty-nine billion, six hundred sixteen million, six hundred forty thousand.
Scientific notation
- Scientific notation: 4.2842618974961664 × 1020
Factors of 428426189749616640000
Divisors of 428426189749616640000
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 32 40 46 48 50 60 64 69 75 80 92 96 100 115 120 125 128 138 150 160 184 192 200 230 240 250 256 276 300 320 345 368 375 384 400 460 480 500 512 529 552 575 600 625 640 690 736 750 768 800 920 960 1000 1024 1058 1104 1150 1200 1250 1280 1380 1472 1500 1536 1587 1600 1725 1840 1875 1920 2000 2048 2116 2208 2300 2400 2500 2560 2645 2760 2875 2944 3000 3072 3174 3200 3450 3680 3750 3840 4000 4096 4232 4416 4600 4800 5000 5120 5290 5520 5750 5888 6000 6144 6348 6400 6900 7360 7500 7680 7935 8000 8192 8464 8625 8832 9200 9600 10000 10240 10580 11040 11500 11776 12000 12167 12288 12696 12800 13225 13800 14375 14720 15000 15360 15870 16000 16384 16928 17250 17664 18400 19200 20000 20480 21160 22080 23000 23552 24000 24334 24576 25392 25600 26450 27600 28750 29440 30000 30720 31740 32000 32768 33856 34500 35328 36501 36800 38400 39675 40000 40960 42320 43125 44160 46000 47104 48000 48668 49152 50784 51200 52900 55200 57500 58880 60000 60835 61440 63480 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267766368593510400 269959791902720000 278923300618240000 285617459833077760 291050400645120000 310453760688128000 334707960741888000 342740951799693312 357021824791347200 372544512825753600 388067200860160000 404939687854080000 418384950927360000 428426189749616640 446277280989184000 465680641032192000 535532737187020800 557846601236480000 571234919666155520 582100801290240000 620907521376256000 669415921483776000 685481903599386624 714043649582694400 745089025651507200 776134401720320000 809879375708160000 836769901854720000 856852379499233280 892554561978368000 931361282064384000 1071065474374041600 1115693202472960000 1142469839332311040 1164201602580480000 1241815042752512000 1338831842967552000 1428087299165388800 1552268803440640000 1673539803709440000 1713704758998466560 1785109123956736000 1862722564128768000 2142130948748083200 2231386404945920000 2328403205160960000 2677663685935104000 2856174598330777600 3104537606881280000 3347079607418880000 3427409517996933120 3570218247913472000 3725445128257536000 4284261897496166400 4462772809891840000 4656806410321920000 5355327371870208000 5712349196661555200 6209075213762560000 6694159214837760000 7140436495826944000 8568523794992332800 8925545619783680000 9313612820643840000 10710654743740416000 13388318429675520000 14280872991653888000 17137047589984665600 17851091239567360000 18627225641287680000 21421309487480832000 26776636859351040000 28561745983307776000 35702182479134720000 42842618974961664000 53553273718702080000 71404364958269440000 85685237949923328000 107106547437404160000 142808729916538880000 214213094874808320000 428426189749616640000
- Sum of all divisors σ(n): 1492522586964512315520
- Sum of proper divisors (its aliquot sum) s(n): 1064096397214895675520
- 428426189749616640000 is an abundant number, because the sum of its proper divisors (1064096397214895675520) is greater than itself. Its abundance is 635670207465279035520
Bases of 428426189749616640000
- Binary: 1011100111001100110111001010110101101100101000000000000000000000000002
- Hexadecimal: 0x17399B95AD94000000
- Base-36: 2IEZBTBV4MYZUO
Squares and roots of 428426189749616640000
- 428426189749616640000 squared (4284261897496166400002) is 183549000063374522134295026964889600000000
- 428426189749616640000 cubed (4284261897496166400003) is 78637198729503689700558760948135755015864339922944000000000000
-
The
square root of 428426189749616640000 is 20698458632.2174395867 -
The
cube root of 428426189749616640000 is 7538622.6294346691
Scales and comparisons
How big is 428426189749616640000?- 428,426,189,749,616,640,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 428,426,189,749,616,640,000 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 428426189749616640000 cubic inches would be around 628218.6 feet tall.
Recreational maths with 428426189749616640000
- 428426189749616640000 backwards is 000046616947981624824
- The number of decimal digits it has is: 21
- The sum of 428426189749616640000's digits is 87
- More coming soon!
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"Number 428426189749616640000 - Facts about the integer". Numbermatics.com. 2024. Web. 16 May 2024.
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Numbermatics. (2024). Number 428426189749616640000 - Facts about the integer. Retrieved 16 May 2024, from https://numbermatics.com/n/428426189749616640000/
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The information we have on file for 428426189749616640000 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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