428123238400
428,123,238,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 428123238400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 624 divisors.
428123238400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 428123238400:
212 × 52 × 11 × 133 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 13 × 13 × 173)See below for interesting mathematical facts about the number 428123238400 from the Numbermatics database.
Names of 428123238400
- Cardinal: 428123238400 can be written as Four hundred twenty-eight billion, one hundred twenty-three million, two hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 4.281232384 × 1011
Factors of 428123238400
Divisors of 428123238400
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 128 130 143 160 169 173 176 200 208 220 256 260 275 286 320 325 338 346 352 400 416 440 512 520 550 572 640 650 676 692 704 715 800 832 845 865 880 1024 1040 1100 1144 1280 1300 1352 1384 1408 1430 1600 1664 1690 1730 1760 1859 1903 2048 2080 2197 2200 2249 2288 2560 2600 2704 2768 2816 2860 3200 3328 3380 3460 3520 3575 3718 3806 4096 4160 4225 4325 4394 4400 4498 4576 5120 5200 5408 5536 5632 5720 6400 6656 6760 6920 7040 7150 7436 7612 8320 8450 8650 8788 8800 8996 9152 9295 9515 10240 10400 10816 10985 11072 11245 11264 11440 12800 13312 13520 13840 14080 14300 14872 15224 16640 16900 17300 17576 17600 17992 18304 18590 19030 20480 20800 21632 21970 22144 22490 22528 22880 24167 24739 25600 26624 27040 27680 28160 28600 29237 29744 30448 33280 33800 34600 35152 35200 35984 36608 37180 38060 41600 43264 43940 44288 44980 45056 45760 46475 47575 48334 49478 51200 53248 54080 54925 55360 56225 56320 57200 58474 59488 60896 66560 67600 69200 70304 70400 71968 73216 74360 76120 83200 86528 87880 88576 89960 91520 92950 95150 96668 98956 102400 108160 109850 110720 112450 112640 114400 116948 118976 120835 121792 123695 133120 135200 138400 140608 140800 143936 146185 146432 148720 152240 166400 173056 175760 177152 179920 183040 185900 190300 193336 197912 216320 219700 221440 224900 225280 228800 233896 237952 241670 243584 247390 266240 270400 276800 281216 281600 287872 292370 292864 297440 304480 321607 332800 346112 351520 354304 359840 366080 371800 380081 380600 386672 395824 432640 439400 442880 449800 457600 467792 475904 483340 487168 494780 540800 553600 562432 563200 575744 584740 585728 594880 604175 608960 618475 643214 665600 692224 703040 708608 719680 730925 732160 743600 760162 761200 773344 791648 865280 878800 885760 899600 915200 935584 951808 966680 974336 989560 1081600 1107200 1124864 1126400 1151488 1169480 1189760 1208350 1217920 1236950 1286428 1331200 1406080 1439360 1461850 1464320 1487200 1520324 1522400 1546688 1583296 1608035 1730560 1757600 1771520 1799200 1830400 1871168 1900405 1903616 1933360 1948672 1979120 2163200 2214400 2249728 2302976 2338960 2379520 2416700 2435840 2473900 2572856 2812160 2878720 2923700 2928640 2974400 3040648 3044800 3093376 3166592 3216070 3461120 3515200 3543040 3598400 3660800 3742336 3800810 3807232 3866720 3897344 3958240 4180891 4326400 4428800 4499456 4605952 4677920 4759040 4833400 4871680 4947800 5145712 5624320 5757440 5847400 5948800 6081296 6089600 6186752 6333184 6432140 7030400 7196800 7321600 7484672 7601620 7614464 7733440 7794688 7916480 8040175 8361782 8652800 8857600 8998912 9211904 9355840 9502025 9518080 9666800 9743360 9895600 10291424 11248640 11514880 11694800 11897600 12162592 12179200 12373504 12666368 12864280 14060800 14393600 14643200 14969344 15203240 15466880 15832960 16080350 16723564 17305600 17715200 18711680 19004050 19036160 19333600 19486720 19791200 20582848 20904455 22497280 23029760 23389600 23795200 24325184 24358400 24747008 25332736 25728560 28121600 28787200 29938688 30406480 30933760 31665920 32160700 33447128 37423360 38008100 38072320 38667200 38973440 39582400 41165696 41808910 44994560 46059520 46779200 47590400 48650368 48716800 49494016 50665472 51457120 56243200 57574400 59877376 60812960 61867520 63331840 64321400 66894256 74846720 76016200 77334400 79164800 82331392 83617820 93558400 95180800 97300736 97433600 98988032 101330944 102914240 104522275 112486400 115148800 119754752 121625920 123735040 126663680 128642800 133788512 149693440 152032400 154668800 158329600 164662784 167235640 187116800 190361600 194601472 194867200 205828480 209044550 224972800 230297600 243251840 247470080 253327360 257285600 267577024 299386880 304064800 309337600 316659200 329325568 334471280 374233600 389202944 411656960 418089100 486503680 494940160 506654720 514571200 535154048 598773760 608129600 618675200 633318400 658651136 668942560 748467200 778405888 823313920 836178200 973007360 1029142400 1070308096 1216259200 1237350400 1266636800 1317302272 1337885120 1496934400 1556811776 1646627840 1672356400 1946014720 2058284800 2140616192 2432518400 2474700800 2533273600 2675770240 2993868800 3293255680 3344712800 3892029440 4116569600 4281232384 4865036800 5351540480 6586511360 6689425600 7784058880 8233139200 8562464768 9730073600 10703080960 13378851200 16466278400 17124929536 19460147200 21406161920 26757702400 32932556800 38920294400 42812323840 53515404800 85624647680 107030809600 214061619200 428123238400
- Sum of all divisors σ(n): 1261845174240
- Sum of proper divisors (its aliquot sum) s(n): 833721935840
- 428123238400 is an abundant number, because the sum of its proper divisors (833721935840) is greater than itself. Its abundance is 405598697440
Bases of 428123238400
- Binary: 1100011101011100010001000110000000000002
- Hexadecimal: 0x63AE223000
- Base-36: 5GODISXS
Squares and roots of 428123238400
- 428123238400 squared (4281232384002) is 183289507258103234560000
- 428123238400 cubed (4281232384003) is 78470497412079461421341999104000000
-
The
square root of 428123238400 is 654311.2702682111 -
The
cube root of 428123238400 is 7536.8452914427
Scales and comparisons
How big is 428123238400?- 428,123,238,400 seconds is equal to 13,612 years, 51 weeks, 5 days, 1 hour, 46 minutes, 40 seconds.
-
To count from 1 to 428,123,238,400 would take you about twenty-seven thousand, two hundred twenty-five 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 428123238400 cubic inches would be around 628.1 feet tall.
Recreational maths with 428123238400
- 428123238400 backwards is 004832321824
- The number of decimal digits it has is: 12
- The sum of 428123238400's digits is 37
- More coming soon!
Link to this page
HTML: To link to this page, just copy and paste the link below into your blog, web page or email.
BBCODE: To link to this page in a forum post or comment box, just copy and paste the link code below:
Cite this page
MLA style:
"Number 428123238400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 June 2024.
APA style:
Numbermatics. (2024). Number 428123238400 - Facts about the integer. Retrieved 23 June 2024, from https://numbermatics.com/n/428123238400/
Chicago style:
Numbermatics. 2024. "Number 428123238400 - Facts about the integer". https://numbermatics.com/n/428123238400/
The information we have on file for 428123238400 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!
Keywords: Divisors of 428123238400, math, Factors of 428123238400, curriculum, school, college, exams, university, Prime factorization of 428123238400, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, one hundred twenty-three million, two hundred thirty-eight thousand, four hundred.