428438139304000
428,438,139,304,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428438139304000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 672 divisors.
428438139304000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred seventy-two divisors.
Prime factorization of 428438139304000:
26 × 53 × 72 × 257 × 1201 × 3541
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 257 × 1201 × 3541)See below for interesting mathematical facts about the number 428438139304000 from the Numbermatics database.
Names of 428438139304000
- Cardinal: 428438139304000 can be written as Four hundred twenty-eight trillion, four hundred thirty-eight billion, one hundred thirty-nine million, three hundred four thousand.
Scientific notation
- Scientific notation: 4.28438139304 × 1014
Factors of 428438139304000
Divisors of 428438139304000
- Number of divisors d(n): 672
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 125 140 160 175 196 200 224 245 250 257 280 320 350 392 400 448 490 500 514 560 700 784 800 875 980 1000 1028 1120 1201 1225 1285 1400 1568 1600 1750 1799 1960 2000 2056 2240 2402 2450 2570 2800 3136 3500 3541 3598 3920 4000 4112 4804 4900 5140 5600 6005 6125 6425 7000 7082 7196 7840 8000 8224 8407 8995 9608 9800 10280 11200 12010 12250 12593 12850 14000 14164 14392 15680 16448 16814 17705 17990 19216 19600 20560 24020 24500 24787 25186 25700 28000 28328 28784 30025 32125 33628 35410 35980 38432 39200 41120 42035 44975 48040 49000 49574 50372 51400 56000 56656 57568 58849 60050 62965 64250 67256 70820 71960 76864 78400 82240 84070 88525 89950 96080 98000 99148 100744 102800 113312 115136 117698 120100 123935 125930 128500 134512 141640 143920 150125 168140 173509 177050 179900 192160 196000 198296 201488 205600 210175 224875 226624 235396 240200 247870 251860 257000 269024 283280 287840 294245 300250 308657 314825 336280 347018 354100 359800 384320 392000 396592 402976 411200 420350 442625 449750 470792 480400 495740 503720 514000 538048 566560 575680 588490 600500 617314 619675 629650 672560 694036 708200 719600 793184 805952 840700 867545 885250 899500 910037 941584 960800 991480 1007440 1028000 1050875 1133120 1176980 1201000 1234628 1239350 1259300 1345120 1388072 1416400 1439200 1471225 1543285 1574125 1586368 1681400 1735090 1770500 1799000 1820074 1883168 1921600 1982960 2014880 2056000 2101750 2160599 2353960 2402000 2469256 2478700 2518600 2690240 2776144 2832800 2878400 2942450 3086570 3098375 3148250 3362800 3470180 3541000 3598000 3640148 3766336 3965920 4029760 4203500 4252741 4321198 4337725 4550185 4707920 4804000 4938512 4957400 5037200 5552288 5665600 5884900 6173140 6196750 6296500 6370259 6725600 6940360 7082000 7196000 7280296 7356125 7716425 7931840 8407000 8505482 8642396 8675450 9100370 9415840 9608000 9877024 9914800 10074400 10802995 11104576 11769800 12346280 12393500 12593000 12740518 13451200 13880720 14164000 14392000 14560592 14712250 15124193 15432850 16814000 17010964 17284792 17350900 18200740 18831680 19754048 19829600 20148800 21263705 21605990 21688625 22750925 23539600 24692560 24787000 25186000 25481036 27761440 28328000 29121184 29424500 29769187 30248386 30865700 31851295 33628000 34021928 34569584 34701800 36401480 38582125 39659200 42527410 43211980 43377250 44591813 45501850 47079200 49385120 49574000 50372000 50962072 54014975 55522880 58242368 58849000 59538374 60496772 61731400 63702590 67256000 68043856 69139168 69403600 72802960 75620965 77164250 85054820 86423960 86754500 89183626 91003700 94158400 98770240 99148000 100744000 101924144 106318525 108029950 113754625 117698000 119076748 120993544 123462800 127405180 136087712 138278336 138807200 145605920 148845935 151241930 154328500 159256475 170109640 172847920 173509000 178367252 182007400 198296000 203848288 208384309 212637050 216059900 222959065 227509250 235396000 238153496 241987088 246925600 254810360 270074875 272175424 277614400 291211840 297691870 302483860 308657000 318512950 340219280 345695840 347018000 356734504 364014800 378104825 407696576 416768618 425274100 432119800 445918130 455018500 470792000 476306992 483974176 493851200 509620720 531592625 540149750 595383740 604967720 617314000 637025900 680438560 691391680 694036000 713469008 728029600 744229675 756209650 796282375 833537236 850548200 864239600 891836260 910037000 952613984 967948352 1019241440 1041921545 1063185250 1080299500 1092954437 1114795325 1190767480 1209935440 1234628000 1274051800 1360877120 1388072000 1426938016 1456059200 1488459350 1512419300 1592564750 1667074472 1701096400 1728479200 1783672520 1820074000 1890524125 1905227968 2038482880 2083843090 2126370500 2160599000 2185908874 2229590650 2381534960 2419870880 2469256000 2548103600 2853876032 2976918700 3024838600 3185129500 3334148944 3402192800 3456958400 3567345040 3640148000 3721148375 3781048250 4167686180 4252741000 4321198000 4371817748 4459181300 4763069920 4839741760 5096207200 5209607725 5464772185 5573976625 5953837400 6049677200 6370259000 6668297888 6804385600 7134690080 7280296000 7442296750 7562096500 7650681059 8335372360 8505482000 8642396000 8743635496 8918362600 9526139840 10192414400 10419215450 10929544370 11147953250 11907674800 12099354400 12740518000 13336595776 14269380160 14884593500 15124193000 15301362118 16670744720 17010964000 17284792000 17487270992 17836725200 20838430900 21859088740 22295906500 23815349600 24198708800 25481036000 26048038625 27323860925 29769187000 30248386000 30602724236 33341489440 34021928000 34974541984 35673450400 38253405295 41676861800 43718177480 44591813000 47630699200 50962072000 52096077250 53554767413 54647721850 59538374000 60496772000 61205448472 66682978880 69949083968 71346900800 76506810590 83353723600 87436354960 89183626000 104192154500 107109534826 109295443700 119076748000 120993544000 122410896944 136619304625 153013621180 166707447200 174872709920 178367252000 191267026475 208384309000 214219069652 218590887400 238153496000 244821793888 267773837065 273238609250 306027242360 333414894400 349745419840 356734504000 382534052950 416768618000 428438139304 437181774800 489643587776 535547674130 546477218500 612054484720 765068105900 833537236000 856876278608 874363549600 956335132375 1071095348260 1092954437000 1224108969440 1338869185325 1530136211800 1667074472000 1713752557216 1748727099200 1912670264750 2142190696520 2185908874000 2448217938880 2677738370650 3060272423600 3427505114432 3825340529500 4284381393040 4371817748000 5355476741300 6120544847200 6694345926625 7650681059000 8568762786080 8743635496000 10710953482600 12241089694400 13388691853250 15301362118000 17137525572160 21421906965200 26777383706500 30602724236000 42843813930400 53554767413000 61205448472000 85687627860800 107109534826000 214219069652000 428438139304000
- Sum of all divisors σ(n): 1240440408855648
- Sum of proper divisors (its aliquot sum) s(n): 812002269551648
- 428438139304000 is an abundant number, because the sum of its proper divisors (812002269551648) is greater than itself. Its abundance is 383564130247648
Bases of 428438139304000
- Binary: 11000010110101001100001110001100111111000010000002
- Hexadecimal: 0x185A98719F840
- Base-36: 47V9RI72V4
Squares and roots of 428438139304000
- 428438139304000 squared (4284381393040002) is 183559239210273709604416000000
- 428438139304000 cubed (4284381393040003) is 78643778899307506543465624941566464000000000
-
The
square root of 428438139304000 is 20698747.2882781001 -
The
cube root of 428438139304000 is 75386.9271723177
Scales and comparisons
How big is 428438139304000?- 428,438,139,304,000 seconds is equal to 13,623,007 years, 30 weeks, 2 days, 11 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,438,139,304,000 would take you about thirty-four million, fifty-seven thousand, five hundred eighteen 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 428438139304000 cubic inches would be around 6282.2 feet tall.
Recreational maths with 428438139304000
- 428438139304000 backwards is 000403931834824
- 428438139304000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428438139304000's digits is 49
- 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 428438139304000 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 428438139304000 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/428438139304000/
Chicago style:
Numbermatics. 2024. "Number 428438139304000 - Facts about the integer". https://numbermatics.com/n/428438139304000/
The information we have on file for 428438139304000 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 428438139304000, math, Factors of 428438139304000, curriculum, school, college, exams, university, Prime factorization of 428438139304000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, four hundred thirty-eight billion, one hundred thirty-nine million, three hundred four thousand.