428329509106368800
428,329,509,106,368,800 is an even composite number composed of five prime numbers multiplied together.
What does the number 428329509106368800 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 486 divisors.
428329509106368800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty-six divisors.
Prime factorization of 428329509106368800:
25 × 52 × 72 × 10872 × 30412
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 1087 × 1087 × 3041 × 3041)See below for interesting mathematical facts about the number 428329509106368800 from the Numbermatics database.
Names of 428329509106368800
- Cardinal: 428329509106368800 can be written as Four hundred twenty-eight quadrillion, three hundred twenty-nine trillion, five hundred nine billion, one hundred six million, three hundred sixty-eight thousand, eight hundred.
Scientific notation
- Scientific notation: 4.283295091063688 × 1017
Factors of 428329509106368800
Divisors of 428329509106368800
- Number of divisors d(n): 486
-
Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 140 160 175 196 200 224 245 280 350 392 400 490 560 700 784 800 980 1087 1120 1225 1400 1568 1960 2174 2450 2800 3041 3920 4348 4900 5435 5600 6082 7609 7840 8696 9800 10870 12164 15205 15218 17392 19600 21287 21740 24328 27175 30410 30436 34784 38045 39200 42574 43480 48656 53263 54350 60820 60872 76025 76090 85148 86960 97312 106435 106526 108700 121640 121744 149009 152050 152180 170296 173920 190225 212870 213052 217400 243280 243488 266315 298018 304100 304360 340592 380450 425740 426104 434800 486560 532175 532630 596036 608200 608720 681184 745045 760900 851480 852208 869600 1064350 1065260 1181569 1192072 1216400 1217440 1331575 1490090 1521800 1702960 1704416 2128700 2130520 2363138 2384144 2432800 2663150 2980180 3043600 3305567 3405920 3725225 4257400 4261040 4726276 4768288 5326300 5907845 5960360 6087200 6611134 7450450 8270983 8514800 8522080 9247681 9452552 10652600 11815690 11920720 13222268 14900900 16527835 16541966 17029600 18495362 18905104 21305200 23138969 23631380 23841440 26444536 29539225 29801800 33055670 33083932 36990724 37810208 41354915 42610400 46238405 46277938 47262760 52889072 57896881 59078450 59603600 64733767 66111340 66167864 73981448 82639175 82709830 92476810 92555876 94525520 105778144 115694845 115793762 118156900 119207200 129467534 132222680 132335728 147962896 161972783 165278350 165419660 184953620 185111752 189051040 206774575 231192025 231389690 231587524 236313800 258935068 264445360 264671456 289484405 295925792 323668835 323945566 330556700 330839320 369907240 370223504 413549150 453136369 462384050 462779380 463175048 472627600 517870136 528890720 578474225 578968810 647337670 647891132 661113400 661678640 739814480 740447008 809863915 827098300 906272738 924768100 925558760 926350096 945255200 1035740272 1156948450 1157937620 1294675340 1295782264 1322226800 1323357280 1447422025 1479628960 1618344175 1619727830 1654196600 1812545476 1849536200 1851117520 1852700192 2071480544 2265681845 2313896900 2315875240 2589350680 2591564528 2644453600 2894844050 3236688350 3239455660 3308393200 3593151329 3625090952 3699072400 3702235040 4049319575 4531363690 4627793800 4631750480 5178701360 5183129056 5789688100 6473376700 6478911320 6616786400 7186302658 7250181904 7398144800 8098639150 9062727380 9255587600 9263500960 10052229247 10357402720 11328409225 11579376200 12946753400 12957822640 14372605316 14500363808 16197278300 17965756645 18125454760 18511175200 20104458494 22656818450 23158752400 25152059303 25893506800 25915645280 28745210632 32394556600 35931513290 36250909520 40208916988 45313636900 46317504800 50261146235 50304118606 51787013600 57490421264 64789113200 70365604729 71863026580 72501819040 80417833976 89828783225 90627273800 100522292470 100608237212 114980842528 125760296515 129578226400 140731209458 143726053160 160835667952 176064415121 179657566450 181254547600 201044584940 201216474424 251305731175 251520593030 281462418916 287452106320 321671335904 351828023645 352128830242 359315132900 362509095200 402089169880 402432948848 492559233103 502611462350 503041186060 562924837832 574904212640 628801482575 703656047290 704257660484 718630265800 804178339760 804865897696 880322075605 985118466206 1005222924700 1006082372120 1125849675664 1257602965150 1407312094580 1408515320968 1437260531600 1608356679520 1759140118225 1760644151210 1970236932412 2010445849400 2012164744240 2251699351328 2462796165515 2515205930300 2814624189160 2817030641936 2874521063200 3518280236450 3521288302420 3940473864824 4020891698800 4024329488480 4401610378025 4925592331030 5030411860600 5629248378320 5634061283872 7036560472900 7042576604840 7880947729648 8041783397600 8803220756050 9851184662060 10060823721200 10926773191489 11258496756640 12313980827575 14073120945800 14085153209680 15761895459296 17606441512100 19702369324120 20121647442400 21853546382978 24627961655150 28146241891600 28170306419360 35212883024200 39404738648240 43707092765956 49255923310300 54633865957445 56292483783200 70425766048400 76487412340423 78809477296480 87414185531912 98511846620600 109267731914890 140851532096800 152974824680846 174828371063824 197023693241200 218535463829780 273169329787225 305949649361692 349656742127648 382437061702115 394047386482400 437070927659560 535411886382961 546338659574450 611899298723384 764874123404230 874141855319120 1070823772765922 1092677319148900 1223798597446768 1529748246808460 1748283710638240 1912185308510575 2141647545531844 2185354638297800 2447597194893536 2677059431914805 3059496493616920 3824370617021150 4283295091063688 4370709276595600 5354118863829610 6118992987233840 7648741234042300 8566590182127376 8741418553191200 10708237727659220 12237985974467680 13385297159574025 15297482468084600 17133180364254752 21416475455318440 26770594319148050 30594964936169200 42832950910636880 53541188638296100 61189929872338400 85665901821273760 107082377276592200 214164754553184400 428329509106368800
- Sum of all divisors σ(n): 1217899865294055531
- Sum of proper divisors (its aliquot sum) s(n): 789570356187686731
- 428329509106368800 is an abundant number, because the sum of its proper divisors (789570356187686731) is greater than itself. Its abundance is 361240847081317931
Bases of 428329509106368800
- Binary: 101111100011011101101101011010011010001101001000001001000002
- Hexadecimal: 0x5F1BB6B4D1A4120
- Base-36: 395I500LQEJK
Squares and roots of 428329509106368800
- 428329509106368800 squared (4283295091063688002) is 183466168371302872765152721613440000
- 428329509106368800 cubed (4283295091063688003) is 78583973836106565352040778571280419815715676672000000
-
The
square root of 428329509106368800 is 654468875.5826122553 -
The
cube root of 428329509106368800 is 753805.5519911707
Scales and comparisons
How big is 428329509106368800?- 428,329,509,106,368,800 seconds is equal to 13,619,553,479 years, 21 weeks, 5 days, 21 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,329,509,106,368,800 would take you about forty billion, eight hundred fifty-eight million, six hundred sixty thousand, four hundred thirty-eight 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 428329509106368800 cubic inches would be around 62817.1 feet tall.
Recreational maths with 428329509106368800
- 428329509106368800 backwards is 008863601905923824
- The number of decimal digits it has is: 18
- The sum of 428329509106368800's digits is 74
- 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 428329509106368800 - Facts about the integer". Numbermatics.com. 2024. Web. 2 May 2024.
APA style:
Numbermatics. (2024). Number 428329509106368800 - Facts about the integer. Retrieved 2 May 2024, from https://numbermatics.com/n/428329509106368800/
Chicago style:
Numbermatics. 2024. "Number 428329509106368800 - Facts about the integer". https://numbermatics.com/n/428329509106368800/
The information we have on file for 428329509106368800 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 428329509106368800, math, Factors of 428329509106368800, curriculum, school, college, exams, university, Prime factorization of 428329509106368800, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight quadrillion, three hundred twenty-nine trillion, five hundred nine billion, one hundred six million, three hundred sixty-eight thousand, eight hundred.