135128364800
135,128,364,800 is an even composite number composed of six prime numbers multiplied together.
135128364800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred forty-eight divisors.
Prime factorization of 135128364800:
28 × 52 × 11 × 13 × 192 × 409
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 13 × 19 × 19 × 409)See below for interesting mathematical facts about the number 135128364800 from the Numbermatics database.
Names of 135128364800
- Cardinal: 135128364800 can be written as One hundred thirty-five billion, one hundred twenty-eight million, three hundred sixty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.351283648 × 1011
Factors of 135128364800
Divisors of 135128364800
- Number of divisors d(n): 648
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 19 20 22 25 26 32 38 40 44 50 52 55 64 65 76 80 88 95 100 104 110 128 130 143 152 160 176 190 200 208 209 220 247 256 260 275 286 304 320 325 352 361 380 400 409 416 418 440 475 494 520 550 572 608 640 650 704 715 722 760 800 818 832 836 880 950 988 1040 1045 1100 1144 1216 1235 1280 1300 1408 1430 1444 1520 1600 1636 1664 1672 1760 1805 1900 1976 2045 2080 2090 2200 2288 2432 2470 2600 2717 2816 2860 2888 3040 3200 3272 3328 3344 3520 3575 3610 3800 3952 3971 4090 4160 4180 4400 4499 4576 4693 4864 4940 5200 5225 5317 5434 5720 5776 6080 6175 6400 6544 6688 7040 7150 7220 7600 7771 7904 7942 8180 8320 8360 8800 8998 9025 9152 9386 9880 10225 10400 10450 10634 10868 11440 11552 12160 12350 13088 13376 13585 14080 14300 14440 15200 15542 15808 15884 16360 16640 16720 17600 17996 18050 18304 18772 19760 19855 20450 20800 20900 21268 21736 22495 22880 23104 23465 24320 24700 26176 26585 26752 27170 28600 28880 30400 31084 31616 31768 32720 33440 35200 35992 36100 36608 37544 38855 39520 39710 40900 41600 41800 42536 43472 44990 45760 46208 46930 49400 51623 52352 53170 53504 54340 57200 57760 58487 60800 62168 63232 63536 65440 66880 67925 70400 71984 72200 75088 77710 79040 79420 81800 83200 83600 85072 85481 86944 89980 91520 92416 93860 98800 99275 101023 103246 104704 106340 108680 112475 114400 115520 116974 117325 121600 124336 127072 130880 132925 133760 135850 143968 144400 147649 150176 155420 158080 158840 163600 167200 170144 170962 173888 179960 183040 187720 194275 197600 198550 202046 206492 212680 217360 224950 228800 231040 233948 234650 248672 254144 258115 261760 265850 267520 271700 287936 288800 292435 295298 300352 310840 316160 317680 327200 334400 340288 341924 347776 359920 375440 388550 395200 397100 404092 412984 425360 427405 434720 449900 457600 462080 467896 469300 497344 505115 508288 516230 523520 531700 543400 575872 577600 584870 590596 600704 621680 635360 654400 668800 680576 683848 695552 719840 738245 750880 777100 790400 794200 808184 825968 850720 854810 869440 899800 915200 935792 938600 994688 1010230 1016576 1032460 1063400 1086800 1111253 1151744 1155200 1169740 1181192 1201408 1243360 1270720 1290575 1308800 1337600 1361152 1367696 1439680 1462175 1476490 1501760 1554200 1580800 1588400 1616368 1624139 1651936 1701440 1709620 1738880 1799600 1871584 1877200 1919437 1989376 2020460 2064920 2126800 2137025 2173600 2222506 2310400 2339480 2362384 2486720 2525575 2541440 2581150 2617600 2735392 2879360 2924350 2952980 3003520 3108400 3176800 3232736 3248278 3303872 3402880 3419240 3477760 3599200 3691225 3743168 3754400 3838874 4040920 4129840 4253600 4274050 4347200 4445012 4678960 4724768 4973440 5051150 5082880 5162300 5470784 5556265 5758720 5848700 5905960 6007040 6216800 6353600 6465472 6496556 6607744 6805760 6838480 7198400 7382450 7486336 7508800 7677748 8081840 8120695 8259680 8507200 8548100 8694400 8890024 9357920 9449536 9597185 9946880 10102300 10324600 10941568 11112530 11697400 11811920 12433600 12707200 12930944 12993112 13215488 13676960 14396800 14764900 14972672 15017600 15355496 16163680 16241390 16519360 17014400 17096200 17388800 17780048 18715840 18899072 19194370 20204600 20649200 21113807 21883136 22225060 23394800 23623840 24867200 25414400 25861888 25986224 27353920 27781325 28793600 29529800 30035200 30710992 32327360 32482780 33038720 34028800 34192400 35560096 37431680 37798144 38388740 40409200 40603475 41298400 42227614 44450120 46789600 47247680 47985925 49734400 51972448 54707840 55562650 59059600 61421984 64654720 64965560 66077440 68384800 71120192 74863360 76777480 80818400 81206950 82596800 84455228 88900240 93579200 94495360 95971850 103944896 105569035 109415680 111125300 118119200 122843968 129309440 129931120 136769600 142240384 153554960 161636800 162413900 165193600 168910456 177800480 187158400 188990720 191943700 207889792 211138070 222250600 236238400 245687936 259862240 273539200 284480768 307109920 323273600 324827800 330387200 337820912 355600960 374316800 383887400 415779584 422276140 444501200 472476800 491375872 519724480 527845175 547078400 614219840 646547200 649655600 675641824 711201920 767774800 844552280 889002400 944953600 1039448960 1055690350 1228439680 1299311200 1351283648 1422403840 1535549600 1689104560 1778004800 2078897920 2111380700 2456879360 2598622400 2702567296 3071099200 3378209120 3556009600 4222761400 5197244800 5405134592 6142198400 6756418240 7112019200 8445522800 10394489600 12284396800 13512836480 16891045600 27025672960 33782091200 67564182400 135128364800
- Sum of all divisors σ(n): 415719798480
- Sum of proper divisors (its aliquot sum) s(n): 280591433680
- 135128364800 is an abundant number, because the sum of its proper divisors (280591433680) is greater than itself. Its abundance is 145463068880
Bases of 135128364800
- Binary: 11111011101100100011100110111000000002
- Hexadecimal: 0x1F76473700
- Base-36: 1Q2RXTKW
Squares and roots of 135128364800
- 135128364800 squared (1351283648002) is 18259674973521879040000
- 135128364800 cubed (1351283648003) is 2467400020951494811698593792000000
-
The
square root of 135128364800 is 367598.1022801941 -
The
cube root of 135128364800 is 5131.5532562253
Scales and comparisons
How big is 135128364800?- 135,128,364,800 seconds is equal to 4,296 years, 34 weeks, 3 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 135,128,364,800 would take you about eight thousand, five 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 135128364800 cubic inches would be around 427.6 feet tall.
Recreational maths with 135128364800
- 135128364800 backwards is 008463821531
- The number of decimal digits it has is: 12
- The sum of 135128364800's digits is 41
- 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 135128364800 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
APA style:
Numbermatics. (2024). Number 135128364800 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/135128364800/
Chicago style:
Numbermatics. 2024. "Number 135128364800 - Facts about the integer". https://numbermatics.com/n/135128364800/
The information we have on file for 135128364800 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 135128364800, math, Factors of 135128364800, curriculum, school, college, exams, university, Prime factorization of 135128364800, STEM, science, technology, engineering, physics, economics, calculator, one hundred thirty-five billion, one hundred twenty-eight million, three hundred sixty-four thousand, eight hundred.