428870996400
428,870,996,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 428870996400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 720 divisors.
428870996400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of seven hundred twenty divisors.
Prime factorization of 428870996400:
24 × 3 × 52 × 7 × 112 × 131 × 3221
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 11 × 11 × 131 × 3221)See below for interesting mathematical facts about the number 428870996400 from the Numbermatics database.
Names of 428870996400
- Cardinal: 428870996400 can be written as Four hundred twenty-eight billion, eight hundred seventy million, nine hundred ninety-six thousand, four hundred.
Scientific notation
- Scientific notation: 4.288709964 × 1011
Factors of 428870996400
Divisors of 428870996400
- Number of divisors d(n): 720
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 25 28 30 33 35 40 42 44 48 50 55 56 60 66 70 75 77 80 84 88 100 105 110 112 120 121 131 132 140 150 154 165 168 175 176 200 210 220 231 240 242 262 264 275 280 300 308 330 336 350 363 385 393 400 420 440 462 484 524 525 528 550 560 600 605 616 655 660 700 726 770 786 825 840 847 880 917 924 968 1048 1050 1100 1155 1200 1210 1232 1310 1320 1400 1441 1452 1540 1572 1650 1680 1694 1815 1834 1848 1925 1936 1965 2096 2100 2200 2310 2420 2541 2620 2640 2751 2800 2882 2904 3025 3080 3144 3221 3275 3300 3388 3630 3668 3696 3850 3930 4200 4235 4323 4400 4585 4620 4840 5082 5240 5502 5764 5775 5808 6050 6160 6288 6442 6550 6600 6776 7205 7260 7336 7700 7860 8400 8470 8646 9075 9170 9240 9663 9680 9825 10087 10164 10480 11004 11528 11550 12100 12705 12884 13100 13200 13552 13755 14410 14520 14672 15400 15720 15851 16105 16940 17292 18150 18340 18480 19326 19650 20174 20328 21175 21615 22008 22547 22925 23056 23100 24200 25410 25768 26200 27510 28820 29040 30261 30800 31440 31702 32210 33880 34584 35431 36025 36300 36680 38652 39300 40348 40656 42350 43230 44016 45094 45850 46200 47553 48315 48400 50435 50820 51536 52400 55020 57640 60522 63404 63525 64420 67641 67760 68775 69168 70862 72050 72600 73360 77304 78600 79255 80525 80696 84700 86460 90188 91700 92400 95106 96630 100870 101640 106293 108075 110040 110957 112735 115280 121044 126808 127050 128840 135282 137550 141724 144100 145200 151305 154608 157200 158510 161050 161392 169400 172920 177155 180376 183400 190212 193260 201740 203280 212586 216150 220080 221914 225470 237765 241575 242088 248017 252175 253616 254100 257680 270564 275100 283448 288200 302610 317020 322100 332871 338205 338800 345840 354310 360752 366800 380424 386520 389741 396275 403480 421951 425172 432300 443828 450940 475530 483150 484176 496034 504350 508200 531465 541128 550200 554785 563675 566896 576400 605220 634040 644200 665742 676410 708620 744051 756525 760848 773040 779482 792550 806960 843902 850344 864600 885775 887656 901880 951060 966300 992068 1008700 1016400 1062930 1082256 1100400 1109570 1127350 1169223 1188825 1210440 1240085 1265853 1268080 1288400 1331484 1352820 1417240 1488102 1513050 1558964 1585100 1664355 1687804 1691025 1700688 1729200 1771550 1775312 1803760 1902120 1932600 1948705 1984136 2017400 2109755 2125860 2219140 2254700 2338446 2377650 2420880 2480170 2531706 2657325 2662968 2705640 2728187 2773925 2834480 2953657 2976204 3026100 3117928 3170200 3328710 3375608 3382050 3543100 3720255 3804240 3865200 3897410 3968272 4034800 4219510 4251720 4438280 4509400 4641461 4676892 4755300 4960340 5063412 5314650 5325936 5411280 5456374 5547850 5846115 5907314 5952408 6052200 6200425 6235856 6329265 6340400 6657420 6751216 6764100 7086200 7440510 7794820 8184561 8321775 8439020 8503440 8860971 8876560 9018800 9282922 9353784 9510600 9743525 9920680 10126824 10548775 10629300 10912748 11095700 11692230 11814628 11904816 12104400 12400850 12658530 13314840 13528200 13640935 13924383 14172400 14768285 14881020 15589640 16369122 16643550 16878040 17721942 18565844 18601275 18707568 19021200 19487050 19841360 20253648 21097550 21258600 21825496 22191400 23207305 23384460 23629256 24801700 25317060 26629680 27056400 27281870 27848766 29230575 29536570 29762040 31179280 31646325 32490227 32738244 33287100 33756080 35443884 37131688 37202550 38974100 40922805 42195100 42517200 43650992 44304855 44382800 46414610 46768920 47258512 49603400 50634120 51056071 54563740 55697532 58461150 59073140 59524080 63292650 64980454 65476488 66574200 68204675 69621915 70887768 73841425 74263376 74405100 77948200 81845610 84390200 88609710 92829220 93537840 97470681 99206800 101268240 102112142 109127480 111395064 116036525 116922300 118146280 126585300 129960908 130952976 133148400 136409350 139243830 141775536 147682850 148810200 153168213 155896400 162451135 163691220 168780400 177219420 185658440 194941362 204224284 204614025 218254960 221524275 222790128 232073050 233844600 236292560 253170600 255280355 259921816 272818700 278487660 295365700 297620400 306336426 324902270 327382440 348109575 354438840 357392497 371316880 389882724 408448568 409228050 443048550 464146100 467689200 487353405 506341200 510560710 519843632 545637400 556975320 590731400 612672852 649804540 654764880 696219150 708877680 714784994 765841065 779765448 812255675 816897136 818456100 886097100 928292200 974706810 1021121420 1072177491 1091274800 1113950640 1181462800 1225345704 1276401775 1299609080 1392438300 1429569988 1531682130 1559530896 1624511350 1636912200 1772194200 1786962485 1856584400 1949413620 2042242840 2144354982 2436767025 2450691408 2552803550 2599218160 2784876600 2859139976 3063364260 3249022700 3273824400 3544388400 3573924970 3829205325 3898827240 4084485680 4288709964 4873534050 5105607100 5360887455 5569753200 5718279952 6126728520 6498045400 7147849940 7658410650 7797654480 8577419928 8934812425 9747068100 10211214200 10721774910 12253457040 12996090800 14295699880 15316821300 17154839856 17869624850 19494136200 20422428400 21443549820 26804437275 28591399760 30633642600 35739249700 38988272400 42887099640 53608874550 61267285200 71478499400 85774199280 107217749100 142956998800 214435498200 428870996400
- Sum of all divisors σ(n): 1739500164864
- Sum of proper divisors (its aliquot sum) s(n): 1310629168464
- 428870996400 is an abundant number, because the sum of its proper divisors (1310629168464) is greater than itself. Its abundance is 881758172064
Bases of 428870996400
- Binary: 1100011110110101011010000010001101100002
- Hexadecimal: 0x63DAB411B0
- Base-36: 5H0QPUPC
Squares and roots of 428870996400
- 428870996400 squared (4288709964002) is 183930331553128812960000
- 428870996400 cubed (4288709964003) is 78882384561372713551704433344000000
-
The
square root of 428870996400 is 654882.4294482179 -
The
cube root of 428870996400 is 7541.2306785771
Scales and comparisons
How big is 428870996400?- 428,870,996,400 seconds is equal to 13,636 years, 40 weeks, 16 hours, 20 minutes.
-
To count from 1 to 428,870,996,400 would take you about twenty-seven thousand, two hundred seventy-three 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 428870996400 cubic inches would be around 628.4 feet tall.
Recreational maths with 428870996400
- 428870996400 backwards is 004699078824
- The number of decimal digits it has is: 12
- The sum of 428870996400's digits is 57
- 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 428870996400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
APA style:
Numbermatics. (2024). Number 428870996400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/428870996400/
Chicago style:
Numbermatics. 2024. "Number 428870996400 - Facts about the integer". https://numbermatics.com/n/428870996400/
The information we have on file for 428870996400 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 428870996400, math, Factors of 428870996400, curriculum, school, college, exams, university, Prime factorization of 428870996400, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight billion, eight hundred seventy million, nine hundred ninety-six thousand, four hundred.