230196872448000
230,196,872,448,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 230196872448000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 864 divisors.
230196872448000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 230196872448000:
211 × 32 × 53 × 53 × 13732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 53 × 1373 × 1373)See below for interesting mathematical facts about the number 230196872448000 from the Numbermatics database.
Names of 230196872448000
- Cardinal: 230196872448000 can be written as Two hundred thirty trillion, one hundred ninety-six billion, eight hundred seventy-two million, four hundred forty-eight thousand.
Scientific notation
- Scientific notation: 2.30196872448 × 1014
Factors of 230196872448000
Divisors of 230196872448000
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 53 60 64 72 75 80 90 96 100 106 120 125 128 144 150 159 160 180 192 200 212 225 240 250 256 265 288 300 318 320 360 375 384 400 424 450 477 480 500 512 530 576 600 636 640 720 750 768 795 800 848 900 954 960 1000 1024 1060 1125 1152 1200 1272 1280 1325 1373 1440 1500 1536 1590 1600 1696 1800 1908 1920 2000 2048 2120 2250 2304 2385 2400 2544 2560 2650 2746 2880 3000 3072 3180 3200 3392 3600 3816 3840 3975 4000 4119 4240 4500 4608 4770 4800 5088 5120 5300 5492 5760 6000 6144 6360 6400 6625 6784 6865 7200 7632 7680 7950 8000 8238 8480 9000 9216 9540 9600 10176 10240 10600 10984 11520 11925 12000 12357 12720 12800 13250 13568 13730 14400 15264 15360 15900 16000 16476 16960 18000 18432 19080 19200 19875 20352 20595 21200 21968 23040 23850 24000 24714 25440 25600 26500 27136 27460 28800 30528 30720 31800 32000 32952 33920 34325 36000 38160 38400 39750 40704 41190 42400 43936 46080 47700 48000 49428 50880 51200 53000 54272 54920 57600 59625 61056 61785 63600 64000 65904 67840 68650 72000 72769 76320 76800 79500 81408 82380 84800 87872 92160 95400 96000 98856 101760 102975 106000 108544 109840 115200 119250 122112 123570 127200 128000 131808 135680 137300 144000 145538 152640 153600 159000 162816 164760 169600 171625 175744 190800 192000 197712 203520 205950 212000 218307 219680 230400 238500 244224 247140 254400 256000 263616 271360 274600 288000 291076 305280 308925 318000 325632 329520 339200 343250 351488 363845 381600 384000 395424 407040 411900 424000 436614 439360 460800 477000 488448 494280 508800 514875 527232 542720 549200 576000 582152 610560 617850 636000 654921 659040 678400 686500 702976 727690 763200 768000 790848 814080 823800 848000 873228 878720 954000 976896 988560 1017600 1029750 1054464 1091535 1098400 1152000 1164304 1221120 1235700 1272000 1309842 1318080 1356800 1373000 1405952 1455380 1526400 1544625 1581696 1628160 1647600 1696000 1746456 1757440 1819225 1885129 1908000 1977120 2035200 2059500 2108928 2183070 2196800 2304000 2328608 2442240 2471400 2544000 2619684 2636160 2713600 2746000 2811904 2910760 3052800 3089250 3163392 3274605 3295200 3392000 3492912 3514880 3638450 3770258 3816000 3954240 4070400 4119000 4217856 4366140 4393600 4657216 4884480 4942800 5088000 5239368 5272320 5457675 5492000 5655387 5821520 6105600 6178500 6326784 6549210 6590400 6784000 6985824 7029760 7276900 7540516 7632000 7908480 8140800 8238000 8435712 8732280 8787200 9096125 9314432 9425645 9885600 10176000 10478736 10544640 10915350 10984000 11310774 11643040 12211200 12357000 12653568 13098420 13180800 13568000 13971648 14059520 14553800 15081032 15264000 15816960 16373025 16476000 16966161 17464560 17574400 18192250 18628864 18851290 19771200 20352000 20957472 21089280 21830700 21968000 22621548 23286080 24422400 24714000 25307136 26196840 26361600 27288375 27943296 28276935 29107600 30162064 30528000 31633920 32746050 32952000 33932322 34929120 35148800 36384500 37257728 37702580 39542400 40704000 41914944 42178560 43661400 43936000 45243096 46572160 47128225 49428000 52393680 52723200 54576750 55886592 56553870 58215200 60324128 61056000 63267840 65492100 65904000 67864644 69858240 70297600 72769000 74515456 75405160 79084800 81865125 83829888 84830805 87322800 87872000 90486192 93144320 94256450 98856000 99911837 104787360 105446400 109153500 111773184 113107740 116430400 120648256 122112000 126535680 130984200 131808000 135729288 139716480 141384675 145538000 149030912 150810320 158169600 163730250 167659776 169661610 174645600 175744000 180972384 186288640 188512900 197712000 199823674 209574720 210892800 218307000 223546368 226215480 232860800 235641125 241296512 261968400 263616000 271458576 279432960 282769350 291076000 299735511 301620640 316339200 327460500 335319552 339323220 349291200 351488000 361944768 372577280 377025800 395424000 399647348 419149440 424154025 436614000 447092736 452430960 465721600 471282250 482593024 499559185 523936800 527232000 542917152 558865920 565538700 582152000 599471022 603241280 632678400 654921000 670639104 678646440 698582400 706923375 723889536 745154560 754051600 790848000 799294696 838298880 848308050 873228000 899206533 904861920 931443200 942564500 965186048 999118370 1047873600 1054464000 1085834304 1117731840 1131077400 1164304000 1198942044 1206482560 1309842000 1341278208 1357292880 1397164800 1413846750 1447779072 1498677555 1508103200 1581696000 1598589392 1676597760 1696616100 1746456000 1798413066 1809723840 1862886400 1885129000 1930372096 1998236740 2095747200 2120770125 2171668608 2235463680 2262154800 2328608000 2397884088 2412965120 2497795925 2619684000 2714585760 2794329600 2827693500 2895558144 2997355110 3016206400 3163392000 3197178784 3353195520 3393232200 3492912000 3596826132 3619447680 3725772800 3770258000 3860744192 3996473480 4191494400 4241540250 4343337216 4496032665 4524309600 4657216000 4795768176 4825930240 4995591850 5239368000 5429171520 5588659200 5655387000 5791116288 5994710220 6032412800 6394357568 6706391040 6786464400 6985824000 7193652264 7238895360 7493387775 7540516000 7992946960 8382988800 8483080500 8686674432 8992065330 9048619200 9314432000 9591536352 9651860480 9991183700 10478736000 10858343040 11177318400 11310774000 11582232576 11989420440 12064825600 12488979625 12788715136 13572928800 13971648000 14387304528 14477790720 14986775550 15081032000 15985893920 16765977600 16966161000 17373348864 17984130660 18097238400 18628864000 19183072704 19303720960 19982367400 20957472000 21716686080 22480163325 22621548000 23978840880 24129651200 24977959250 25577430272 27145857600 27943296000 28774609056 28955581440 29973551100 30162064000 31971787840 33531955200 33932322000 34746697728 35968261320 36194476800 37466938875 38366145408 39964734800 41914944000 43433372160 44960326650 45243096000 47957681760 48259302400 49955918500 51154860544 54291715200 55886592000 57549218112 57911162880 59947102200 60324128000 63943575680 67864644000 71936522640 72388953600 74933877750 76732290816 79929469600 83829888000 86866744320 89920653300 90486192000 95915363520 96518604800 99911837000 102309721088 108583430400 112400816625 115098436224 119894204400 120648256000 127887151360 135729288000 143873045280 144777907200 149867755500 153464581632 159858939200 167659776000 173733488640 179841306600 180972384000 191830727040 199823674000 204619442176 217166860800 224801633250 230196872448 239788408800 241296512000 255774302720 271458576000 287746090560 289555814400 299735511000 306929163264 319717878400 359682613200 361944768000 383661454080 399647348000 434333721600 449603266500 460393744896 479576817600 482593024000 511548605440 542917152000 575492181120 599471022000 613858326528 639435756800 719365226400 723889536000 767322908160 799294696000 868667443200 899206533000 920787489792 959153635200 1023097210880 1085834304000 1150984362240 1198942044000 1278871513600 1438730452800 1447779072000 1534645816320 1598589392000 1798413066000 1841574979584 1918307270400 2171668608000 2301968724480 2397884088000 2557743027200 2877460905600 3069291632640 3197178784000 3596826132000 3836614540800 4343337216000 4603937448960 4795768176000 5115486054400 5754921811200 6394357568000 7193652264000 7673229081600 9207874897920 9591536352000 11509843622400 12788715136000 14387304528000 15346458163200 19183072704000 23019687244800 25577430272000 28774609056000 38366145408000 46039374489600 57549218112000 76732290816000 115098436224000 230196872448000
- Sum of all divisors σ(n): 846005364214920
- Sum of proper divisors (its aliquot sum) s(n): 615808491766920
- 230196872448000 is an abundant number, because the sum of its proper divisors (615808491766920) is greater than itself. Its abundance is 385611619318920
Bases of 230196872448000
- Binary: 1101000101011100111000101100111110001000000000002
- Hexadecimal: 0xD15CE2CF8800
- Base-36: 29LIZECJK0
Squares and roots of 230196872448000
- 230196872448000 squared (2301968724480002) is 52990600084840781512704000000
- 230196872448000 cubed (2301968724480003) is 12198270408673071360268559179579392000000000
-
The
square root of 230196872448000 is 15172240.1921403815 -
The
cube root of 230196872448000 is 61286.7332574665
Scales and comparisons
How big is 230196872448000?- 230,196,872,448,000 seconds is equal to 7,319,548 years, 25 weeks, 6 days, 8 hours.
-
To count from 1 to 230,196,872,448,000 would take you about eighteen million, two hundred ninety-eight thousand, eight hundred seventy-one 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 230196872448000 cubic inches would be around 5107.2 feet tall.
Recreational maths with 230196872448000
- 230196872448000 backwards is 000844278691032
- The number of decimal digits it has is: 15
- The sum of 230196872448000's digits is 54
- 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 230196872448000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 230196872448000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/230196872448000/
Chicago style:
Numbermatics. 2024. "Number 230196872448000 - Facts about the integer". https://numbermatics.com/n/230196872448000/
The information we have on file for 230196872448000 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 230196872448000, math, Factors of 230196872448000, curriculum, school, college, exams, university, Prime factorization of 230196872448000, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty trillion, one hundred ninety-six billion, eight hundred seventy-two million, four hundred forty-eight thousand.