428607645232000
428,607,645,232,000 is an even composite number composed of five prime numbers multiplied together.
428607645232000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 428607645232000:
27 × 53 × 13 × 313 × 2632
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 31 × 31 × 31 × 263 × 263)See below for interesting mathematical facts about the number 428607645232000 from the Numbermatics database.
Names of 428607645232000
- Cardinal: 428607645232000 can be written as Four hundred twenty-eight trillion, six hundred seven billion, six hundred forty-five million, two hundred thirty-two thousand.
Scientific notation
- Scientific notation: 4.28607645232 × 1014
Factors of 428607645232000
Divisors of 428607645232000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 31 32 40 50 52 62 64 65 80 100 104 124 125 128 130 155 160 200 208 248 250 260 263 310 320 325 400 403 416 496 500 520 526 620 640 650 775 800 806 832 961 992 1000 1040 1052 1240 1300 1315 1550 1600 1612 1625 1664 1922 1984 2000 2015 2080 2104 2480 2600 2630 3100 3200 3224 3250 3419 3844 3875 3968 4000 4030 4160 4208 4805 4960 5200 5260 6200 6448 6500 6575 6838 7688 7750 8000 8060 8153 8320 8416 9610 9920 10075 10400 10520 12400 12493 12896 13000 13150 13676 15376 15500 16000 16120 16306 16832 17095 19220 19840 20150 20800 21040 24025 24800 24986 25792 26000 26300 27352 29791 30752 31000 32240 32612 32875 33664 34190 38440 40300 40765 41600 42080 48050 49600 49972 50375 51584 52000 52600 54704 59582 61504 62000 62465 64480 65224 65750 68380 69169 76880 80600 81530 84160 85475 96100 99200 99944 100750 104000 105200 105989 109408 119164 120125 123008 124000 124930 128960 130448 131500 136760 138338 148955 153760 161200 163060 168320 170950 192200 199888 201500 203825 208000 210400 211978 218816 238328 240250 248000 249860 252743 257920 260896 263000 273520 276676 297910 307520 312325 322400 326120 341900 345845 384400 387283 399776 403000 407650 420800 423956 427375 437632 476656 480500 496000 499720 505486 521792 526000 529945 547040 553352 595820 615040 624650 644800 652240 683800 691690 744775 768800 774566 799552 806000 815300 841600 847912 854750 899197 953312 961000 999440 1010972 1019125 1043584 1052000 1059890 1094080 1106704 1191640 1249300 1263715 1289600 1304480 1367600 1383380 1489550 1537600 1549132 1561625 1599104 1612000 1630600 1695824 1709500 1729225 1798394 1906624 1922000 1936415 1998880 2021944 2038250 2104000 2119780 2144239 2188160 2213408 2383280 2498600 2527430 2608960 2649725 2735200 2766760 2979100 3075200 3098264 3123250 3224000 3261200 3285659 3391648 3419000 3458450 3596788 3723875 3813248 3844000 3872830 3997760 4043888 4076500 4208000 4239560 4288478 4426816 4495985 4766560 4997200 5054860 5217920 5299450 5470400 5533520 5958200 6196528 6246500 6318575 6448000 6522400 6571318 6783296 6838000 6916900 7193576 7447750 7688000 7745660 7835033 7995520 8087776 8153000 8479120 8576956 8646125 8853632 8991970 9533120 9682075 9994400 10109720 10598900 10721195 10940800 11067040 11916400 12393056 12493000 12637150 13044800 13142636 13248625 13566592 13676000 13833800 14387152 14895500 15376000 15491320 15670066 16175552 16306000 16428295 16958240 17153912 17292250 17983940 19066240 19364150 19988800 20219440 21197800 21442390 22134080 22479925 23832800 24786112 24986000 25274300 26089600 26285272 26497250 27352000 27667600 27875107 28774304 29791000 30982640 31340132 31592875 32351104 32612000 32856590 33916480 34307824 34584500 35967880 38728300 39175165 39977600 40438880 42395600 42884780 44268160 44959850 47665600 48410375 49572224 49972000 50548600 52570544 52994500 53605975 54704000 55335200 55750214 57548608 59582000 61965280 62680264 63185750 65224000 65713180 66471409 67832960 68615648 69169000 71935760 77456600 78350330 80877760 82141475 84791200 85769560 89919700 95331200 96820750 99944000 101097200 101855429 105141088 105989000 107211950 110670400 111500428 112399625 115097216 119164000 123930560 125360528 126371500 130448000 131426360 132942818 137231296 138338000 139375535 143871520 154913200 156700660 161755520 164282950 169582400 171539120 179839400 193641500 195875825 199888000 202194400 203710858 210282176 211978000 214423900 221340800 223000856 224799250 238328000 247861120 250721056 252743000 262852720 265885636 268029875 274462592 276676000 278751070 287743040 309826400 313401320 328565900 332357045 339164800 343078240 359678800 387283000 391751650 404388800 407421716 410707375 420564352 423956000 428847800 446001712 449598500 476656000 501442112 505486000 509277145 525705440 531771272 536059750 553352000 557502140 575486080 619652800 626802640 657131800 664714090 686156480 696877675 719357600 774566000 783503300 808777600 814843432 821414750 847912000 857695600 864128317 892003424 899197000 979379125 1002884224 1010972000 1018554290 1051410880 1063542544 1072119500 1106704000 1115004280 1239305600 1253605280 1314263600 1329428180 1372312960 1393755350 1438715200 1549132000 1567006600 1629686864 1642829500 1661785225 1695824000 1715391200 1728256634 1784006848 1798394000 1958758250 2021944000 2037108580 2060613679 2102821760 2127085088 2144239000 2230008560 2507210560 2546385725 2628527200 2658856360 2787510700 2877430400 3098264000 3134013200 3259373728 3285659000 3323570450 3430782400 3456513268 3484388375 3568013696 3596788000 3917516500 4043888000 4074217160 4121227358 4254170176 4288478000 4320641585 4460017120 5014421120 5092771450 5257054400 5317712720 5575021400 6196528000 6268026400 6518747456 6571318000 6647140900 6861564800 6913026536 6968776750 7193576000 7835033000 8148434320 8242454716 8308926125 8508340352 8576956000 8641283170 8920034240 10185542900 10303068395 10514108800 10635425440 11150042800 12536052800 12731928625 13037494912 13142636000 13294281800 13826053072 13937553500 14387152000 15670066000 16296868640 16484909432 16617852250 17153912000 17282566340 17840068480 20371085800 20606136790 21270850880 21603207925 22300085600 25072105600 25463857250 26285272000 26588563600 26787977827 27652106144 27875107000 31340132000 32593737280 32969818864 33235704500 34307824000 34565132680 40742171600 41212273580 42541701760 43206415850 44600171200 50927714500 51515341975 52570544000 53177127200 53575955654 55304212288 55750214000 62680264000 65187474560 65939637728 66471409000 69130265360 81484343200 82424547160 86412831700 89200342400 101855429000 103030683950 106354254400 107151911308 108016039625 110608424576 111500428000 125360528000 131879275456 132942818000 133939889135 138260530720 162968686400 164849094320 172825663400 203710858000 206061367900 212708508800 214303822616 216032079250 223000856000 257576709875 263758550912 265885636000 267879778270 276521061440 325937372800 329698188640 345651326800 407421716000 412122735800 428607645232 432064158500 446001712000 515153419750 531771272000 535759556540 553042122880 659396377280 669699445675 691302653600 814843432000 824245471600 857215290464 864128317000 1030306839500 1063542544000 1071519113080 1318792754560 1339398891350 1382605307200 1629686864000 1648490943200 1714430580928 1728256634000 2060613679000 2143038226160 2678797782700 2765210614400 3296981886400 3348497228375 3428861161856 3456513268000 4121227358000 4286076452320 5357595565400 6593963772800 6696994456750 6913026536000 8242454716000 8572152904640 10715191130800 13393988913500 13826053072000 16484909432000 17144305809280 21430382261600 26787977827000 32969818864000 42860764523200 53575955654000 85721529046400 107151911308000 214303822616000 428607645232000
- Sum of all divisors σ(n): 1190374993866240
- Sum of proper divisors (its aliquot sum) s(n): 761767348634240
- 428607645232000 is an abundant number, because the sum of its proper divisors (761767348634240) is greater than itself. Its abundance is 333159703402240
Bases of 428607645232000
- Binary: 11000010111010000111111100111000100101011100000002
- Hexadecimal: 0x185D0FE712B80
- Base-36: 47XFMTNDZ4
Squares and roots of 428607645232000
- 428607645232000 squared (4286076452320002) is 183704513551319972333824000000
- 428607645232000 cubed (4286076452320003) is 78737158971721287127371692065927168000000000
-
The
square root of 428607645232000 is 20702841.4772465473 -
The
cube root of 428607645232000 is 75396.8678109835
Scales and comparisons
How big is 428607645232000?- 428,607,645,232,000 seconds is equal to 13,628,397 years, 18 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 428,607,645,232,000 would take you about thirty-four million, seventy thousand, nine hundred ninety-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 428607645232000 cubic inches would be around 6283.1 feet tall.
Recreational maths with 428607645232000
- 428607645232000 backwards is 000232546706824
- The number of decimal digits it has is: 15
- The sum of 428607645232000'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 428607645232000 - Facts about the integer". Numbermatics.com. 2024. Web. 7 June 2024.
APA style:
Numbermatics. (2024). Number 428607645232000 - Facts about the integer. Retrieved 7 June 2024, from https://numbermatics.com/n/428607645232000/
Chicago style:
Numbermatics. 2024. "Number 428607645232000 - Facts about the integer". https://numbermatics.com/n/428607645232000/
The information we have on file for 428607645232000 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 428607645232000, math, Factors of 428607645232000, curriculum, school, college, exams, university, Prime factorization of 428607645232000, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, six hundred seven billion, six hundred forty-five million, two hundred thirty-two thousand.