428229922235200
428,229,922,235,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 428229922235200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 756 divisors.
428229922235200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred fifty-six divisors.
Prime factorization of 428229922235200:
26 × 52 × 172 × 31 × 2392 × 523
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 17 × 17 × 31 × 239 × 239 × 523)See below for interesting mathematical facts about the number 428229922235200 from the Numbermatics database.
Names of 428229922235200
- Cardinal: 428229922235200 can be written as Four hundred twenty-eight trillion, two hundred twenty-nine billion, nine hundred twenty-two million, two hundred thirty-five thousand, two hundred.
Scientific notation
- Scientific notation: 4.282299222352 × 1014
Factors of 428229922235200
Divisors of 428229922235200
- Number of divisors d(n): 756
-
Complete list of divisors:
1 2 4 5 8 10 16 17 20 25 31 32 34 40 50 62 64 68 80 85 100 124 136 155 160 170 200 239 248 272 289 310 320 340 400 425 478 496 523 527 544 578 620 680 775 800 850 956 992 1046 1054 1088 1156 1195 1240 1360 1445 1550 1600 1700 1912 1984 2092 2108 2312 2390 2480 2615 2635 2720 2890 3100 3400 3824 4063 4184 4216 4624 4780 4960 5230 5270 5440 5780 5975 6200 6800 7225 7409 7648 8126 8368 8432 8891 8959 9248 9560 9920 10460 10540 11560 11950 12400 13075 13175 13600 14450 14818 15296 16213 16252 16736 16864 17782 17918 18496 19120 20315 20920 21080 23120 23900 24800 26150 26350 27200 28900 29636 32426 32504 33472 33728 35564 35836 37045 38240 40630 41840 42160 44455 44795 46240 47800 49600 52300 52700 57121 57800 59272 64852 65008 69071 71128 71672 74090 76480 81065 81260 83680 84320 88910 89590 92480 95600 101575 104600 105400 114242 115600 118544 124997 125953 129704 130016 138142 142256 143344 148180 151147 162130 162520 167360 168640 177820 179180 185225 191200 203150 209200 210800 222275 223975 228484 231200 237088 249994 251906 259408 260032 275621 276284 284512 285605 286688 296360 302294 324260 325040 345355 355640 358360 370450 382400 405325 406300 418400 421600 444550 447950 456968 462400 474176 499988 503812 518816 551242 552568 569024 571210 573376 592720 604588 624985 629765 648520 650080 690710 711280 716720 740900 755735 810650 812600 836800 843200 889100 895900 913936 971057 999976 1007624 1037632 1102484 1105136 1142420 1185440 1209176 1249970 1259530 1297040 1300160 1378105 1381420 1422560 1428025 1433440 1481800 1511470 1621300 1625200 1726775 1770751 1778200 1791800 1827872 1942114 1999952 2015248 2124949 2141201 2204968 2210272 2284840 2370880 2418352 2499940 2519060 2594080 2756210 2762840 2845120 2856050 2866880 2963600 3022940 3124925 3148825 3242600 3250400 3453550 3541502 3556400 3583600 3655744 3778675 3874907 3884228 3999904 4030496 4249898 4282402 4409936 4420544 4569680 4685557 4836704 4855285 4999880 5038120 5188160 5512420 5525680 5712100 5927200 6045880 6249850 6297650 6485200 6500800 6890525 6907100 7083004 7112800 7167200 7557350 7749814 7768456 7999808 8060992 8499796 8564804 8819872 8853755 9139360 9371114 9673408 9710570 9999760 10076240 10624745 10706005 11024840 11051360 11424200 11854400 12091760 12499700 12595300 12970400 13781050 13814200 14166008 14225600 14334400 15114700 15499628 15536912 16507969 16999592 17129608 17639744 17707510 18278720 18742228 19374535 19421140 19999520 20152480 21249490 21412010 22049680 22102720 22848400 23427785 24183520 24276425 24999400 25190600 25940800 27562100 27628400 28332016 29874283 30102767 30229400 30999256 31073824 33015938 33999184 34259216 35415020 36124133 37484456 38749070 38842280 39999040 40304960 42498980 42824020 44099360 44268775 45696800 46855570 48367040 48552850 49998800 50381200 53123725 53530025 55124200 55256800 56664032 59748566 60205534 60458800 61998512 62147648 65873419 66031876 67998368 68518432 70830040 72248266 74968912 77498140 77684560 82539845 84997960 85648040 88198720 88537550 91393600 93711140 96872675 97105700 99997600 100762400 106247450 107060050 110248400 110513600 113328064 117138925 119497132 120411068 120917600 123997024 131746838 132063752 135996736 137036864 141660080 144496532 149371415 149937824 150513835 154996280 155369120 165079690 169995920 171296080 177075100 180620665 187422280 193745350 194211400 199995200 201524800 212494900 214120100 220496800 234277850 238994264 240822136 241835200 247994048 263493676 264127504 283320160 288993064 298742830 299875648 301027670 309992560 310738240 329367095 330159380 339991840 342592160 354150200 361241330 374844560 387490700 388422800 412699225 424989800 428240200 440993600 468555700 477988528 481644272 507862811 511747039 526987352 528255008 566640320 577986128 597485660 602055340 619985120 658734190 660318760 679983680 685184320 708300400 722482660 746857075 749689120 752569175 774981400 776845600 825398450 849979600 856480400 903103325 926102773 937111400 955977056 963288544 1015725622 1023494078 1053974704 1056510016 1119848123 1155972256 1194971320 1204110680 1239970240 1317468380 1320637520 1416600800 1444965320 1493714150 1499378240 1505138350 1549962800 1553691200 1646835475 1650796900 1699959200 1712960800 1806206650 1852205546 1874222800 1911954112 1926577088 2031451244 2046988156 2107949408 2239696246 2311944512 2389942640 2408221360 2539314055 2558735195 2634936760 2641275040 2833201600 2889930640 2987428300 3010276700 3099925600 3293670950 3301593800 3399918400 3425921600 3612413300 3704411092 3748445600 4062902488 4093976312 4215898816 4479392492 4630513865 4779885280 4816442720 5078628110 5117470390 5269873520 5282550080 5599240615 5779861280 5974856600 6020553400 6199851200 6587341900 6603187600 7224826600 7408822184 7496891200 8125804976 8187952624 8633667787 8958784984 9261027730 9559770560 9632885440 10157256220 10234940780 10539747040 11198481230 11559722560 11949713200 12041106800 12696570275 12793675975 13174683800 13206375200 14449653200 14817644368 15743747141 16251609952 16375905248 17267335574 17917569968 18522055460 20314512440 20469881560 21079494080 22396962460 23152569325 23899426400 24082213600 25393140550 25587351950 26349367600 26412750400 27996203075 28899306400 29635288736 31487494282 32503219904 32751810496 34534671148 35835139936 37044110920 40629024880 40939763120 43168338935 44793924920 46305138650 47798852800 48164427200 50786281100 51174703900 52698735200 55992406150 57798612800 59270577472 62974988564 69069342296 71670279872 74088221840 78718735705 81258049760 81879526240 86336677870 89587849840 92610277300 101572562200 102349407800 105397470400 111984812300 125949977128 138138684592 148176443680 157437471410 162516099520 163759052480 172673355740 179175699680 185220554600 203145124400 204698815600 215841694675 223969624600 251899954256 267643701397 276277369184 296352887360 314874942820 345346711480 358351399360 370441109200 393593678525 406290248800 409397631200 431683389350 447939249200 503799908512 535287402794 552554738368 629749885640 690693422960 740882218400 787187357050 812580497600 818795262400 863366778700 895878498400 1007599817024 1070574805588 1259499771280 1338218506985 1381386845920 1481764436800 1574374714100 1726733557400 1791756996800 2141149611176 2518999542560 2676437013970 2762773691840 3148749428200 3453467114800 4282299222352 5037999085120 5352874027940 6297498856400 6691092534925 6906934229600 8564598444704 10705748055880 12594997712800 13382185069850 13813868459200 17129196889408 21411496111760 25189995425600 26764370139700 42822992223520 53528740279400 85645984447040 107057480558800 214114961117600 428229922235200
- Sum of all divisors σ(n): 1162523577058432
- Sum of proper divisors (its aliquot sum) s(n): 734293654823232
- 428229922235200 is an abundant number, because the sum of its proper divisors (734293654823232) is greater than itself. Its abundance is 306063732588032
Bases of 428229922235200
- Binary: 11000010101111001000011000110010110100011010000002
- Hexadecimal: 0x185790C65A340
- Base-36: 47SM3Z4OCG
Squares and roots of 428229922235200
- 428229922235200 squared (4282299222352002) is 183380866297565439364119040000
- 428229922235200 cubed (4282299222352003) is 78529174114030056641979817436355678208000000
-
The
square root of 428229922235200 is 20693716.9748501201 -
The
cube root of 428229922235200 is 75374.7127380039
Scales and comparisons
How big is 428229922235200?- 428,229,922,235,200 seconds is equal to 13,616,386 years, 48 weeks, 16 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,229,922,235,200 would take you about thirty-four million, forty thousand, nine hundred sixty-seven 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 428229922235200 cubic inches would be around 6281.2 feet tall.
Recreational maths with 428229922235200
- 428229922235200 backwards is 002532229922824
- The number of decimal digits it has is: 15
- The sum of 428229922235200's digits is 52
- 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 428229922235200 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
APA style:
Numbermatics. (2024). Number 428229922235200 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/428229922235200/
Chicago style:
Numbermatics. 2024. "Number 428229922235200 - Facts about the integer". https://numbermatics.com/n/428229922235200/
The information we have on file for 428229922235200 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 428229922235200, math, Factors of 428229922235200, curriculum, school, college, exams, university, Prime factorization of 428229922235200, STEM, science, technology, engineering, physics, economics, calculator, four hundred twenty-eight trillion, two hundred twenty-nine billion, nine hundred twenty-two million, two hundred thirty-five thousand, two hundred.