230143118400
230,143,118,400 is an even composite number composed of six prime numbers multiplied together.
What does the number 230143118400 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1008 divisors.
230143118400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand and eight divisors.
Prime factorization of 230143118400:
26 × 33 × 52 × 132 × 29 × 1087
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 13 × 29 × 1087)See below for interesting mathematical facts about the number 230143118400 from the Numbermatics database.
Names of 230143118400
- Cardinal: 230143118400 can be written as Two hundred thirty billion, one hundred forty-three million, one hundred eighteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.301431184 × 1011
Factors of 230143118400
Divisors of 230143118400
- Number of divisors d(n): 1008
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 87 90 96 100 104 108 116 117 120 130 135 144 145 150 156 160 169 174 180 192 195 200 208 216 225 232 234 240 260 261 270 288 290 300 312 320 325 338 348 351 360 377 390 400 416 432 435 450 464 468 480 507 520 522 540 576 580 585 600 624 650 675 676 696 702 720 725 754 780 783 800 832 845 864 870 900 928 936 960 975 1014 1040 1044 1080 1087 1131 1160 1170 1200 1248 1300 1305 1350 1352 1392 1404 1440 1450 1508 1521 1560 1566 1600 1690 1728 1740 1755 1800 1856 1872 1885 1950 2028 2080 2088 2160 2174 2175 2262 2320 2340 2400 2496 2535 2600 2610 2700 2704 2784 2808 2880 2900 2925 3016 3042 3120 3132 3261 3380 3393 3480 3510 3600 3744 3770 3900 3915 4056 4160 4176 4225 4320 4348 4350 4524 4563 4640 4680 4800 4901 5070 5200 5220 5400 5408 5435 5568 5616 5655 5800 5850 6032 6084 6240 6264 6522 6525 6760 6786 6960 7020 7200 7488 7540 7605 7800 7830 8112 8352 8450 8640 8696 8700 8775 9048 9126 9280 9360 9425 9783 9802 10140 10179 10400 10440 10800 10816 10870 11232 11310 11600 11700 12064 12168 12480 12528 12675 13044 13050 13520 13572 13920 14040 14131 14400 14703 15080 15210 15600 15660 16224 16305 16704 16900 16965 17392 17400 17550 18096 18252 18720 18850 19566 19575 19604 20280 20358 20800 20880 21600 21740 22464 22620 22815 23200 23400 24128 24336 24505 25056 25350 26088 26100 27040 27144 27175 27840 28080 28262 28275 29349 29406 30160 30420 31200 31320 31523 32448 32610 33800 33930 34784 34800 35100 36192 36504 37440 37700 38025 39132 39150 39208 40560 40716 41760 42393 43200 43480 44109 45240 45630 46400 46800 48672 48915 49010 50112 50700 50895 52176 52200 54080 54288 54350 56160 56524 56550 58698 58812 60320 60840 62400 62640 63046 65220 67600 67860 69568 69600 70200 70655 72384 73008 73515 75400 76050 78264 78300 78416 81120 81432 81525 83520 84786 84825 86960 88218 90480 91260 93600 94569 97344 97830 98020 101400 101790 104352 104400 108576 108700 112320 113048 113100 114075 117396 117624 120640 121680 122525 125280 126092 127179 130440 132327 135200 135720 139200 140400 141310 146016 146745 147030 150800 152100 156528 156600 156832 157615 162240 162864 163050 169572 169650 173920 176436 180960 182520 183703 187200 189138 195660 196040 202800 203580 208704 208800 211965 217152 217400 220545 226096 226200 228150 234792 235248 243360 244575 245050 250560 252184 254358 254475 260880 264654 270400 271440 280800 282620 283707 292032 293490 294060 301600 304200 313056 313200 313664 315230 325728 326100 339144 339300 347840 352872 353275 361920 365040 367406 367575 378276 381537 391320 392080 405600 407160 409799 417600 423930 434800 441090 452192 452400 456300 469584 470496 472845 486720 489150 490100 504368 508716 508950 521760 529308 542880 551109 561600 565240 567414 586980 588120 603200 608400 626112 626400 630460 635895 651456 652200 661635 678288 678600 705744 706550 730080 733725 734812 735150 756552 763074 782640 784160 788075 811200 814320 819598 847860 851121 869600 882180 904384 904800 912600 918515 939168 940992 945690 978300 980200 1008736 1017432 1017900 1043520 1058616 1059825 1085760 1102218 1102725 1130480 1134828 1173960 1176240 1216800 1229397 1252800 1260920 1271790 1304400 1323270 1356576 1357200 1411488 1413100 1418535 1460160 1467450 1469624 1470300 1513104 1526148 1565280 1568320 1576150 1628640 1639196 1653327 1695720 1702242 1739200 1764360 1809600 1825200 1837030 1878336 1891380 1907685 1956600 1960400 2017472 2034864 2035800 2048995 2117232 2119650 2204436 2205450 2260960 2269656 2347920 2352480 2364225 2433600 2458794 2521840 2543580 2608800 2646540 2713152 2714400 2755545 2822976 2826200 2837070 2934900 2939248 2940600 3026208 3052296 3130560 3152300 3179475 3257280 3278392 3306654 3308175 3391440 3404484 3528720 3650400 3674060 3688191 3782760 3815370 3913200 3920800 4069728 4071600 4097990 4234464 4239300 4255605 4408872 4410900 4521920 4539312 4592575 4695840 4704960 4728450 4917588 4959981 5043680 5087160 5217600 5293080 5327387 5428800 5511090 5652400 5674140 5869800 5878496 5881200 6052416 6104592 6146985 6304600 6358950 6556784 6613308 6616350 6782880 6808968 7057440 7092675 7300800 7348120 7376382 7565520 7630740 7826400 7841600 8139456 8143200 8195980 8266635 8468928 8478600 8511210 8817744 8821800 9078624 9185150 9391680 9456900 9538425 9835176 9919962 10087360 10174320 10244975 10586160 10654774 11022180 11064573 11304800 11348280 11739600 11756992 11762400 12209184 12293970 12609200 12717900 13113568 13226616 13232700 13565760 13617936 13777725 14114880 14185350 14696240 14752764 15131040 15261480 15652800 15982161 16286400 16391960 16533270 16957200 17022420 17635488 17643600 18157248 18370300 18440955 18913800 19076850 19670352 19839924 20348640 20489950 21172320 21278025 21309548 22044360 22129146 22609600 22696560 23479200 23524800 24418368 24587940 24799905 25218400 25435800 26227136 26453232 26465400 26636935 27235872 27555450 28370700 29392480 29505528 30262080 30522960 30734925 31964322 32783920 33066540 33914400 34044840 35270976 35287200 36740600 36881910 37827600 38153700 39340704 39679848 40697280 40979900 41333175 42344640 42556050 42619096 44088720 44258292 45393120 46958400 47946483 49175880 49599810 50436800 50871600 52906464 52930800 53273870 54471744 55110900 55322865 56741400 58784960 59011056 61045920 61469850 63928644 65567840 66133080 67828800 68089680 70574400 73481200 73763820 75655200 76307400 78681408 79359696 79910805 81959800 82666350 85112100 85238192 88177440 88516584 90786240 92204775 95892966 98351760 99199620 101743200 105812928 105861600 106547740 110221800 110645730 113482800 118022112 122091840 122939700 123999525 127857288 131135680 132266160 133184675 136179360 143839449 146962400 147527640 151310400 152614800 158719392 159821610 163919600 165332700 170224200 170476384 176354880 177033168 184409550 191785932 196703520 198399240 203486400 211723200 213095480 220443600 221291460 226965600 236044224 239732415 245879400 247999050 255714576 264532320 266369350 272358720 276614325 287678898 293924800 295055280 305229600 317438784 319643220 327839200 330665400 340448400 340952768 354066336 368819100 383571864 393407040 396798480 399554025 426190960 440887200 442582920 453931200 479464830 491758800 495998100 511429152 529064640 532738700 553228650 575357796 590110560 610459200 639286440 655678400 661330800 680896800 708132672 719197245 737638200 767143728 793596960 799108050 852381920 881774400 885165840 958929660 983517600 991996200 1022858304 1065477400 1106457300 1150715592 1180221120 1198662075 1278572880 1322661600 1361793600 1438394490 1475276400 1534287456 1587193920 1598216100 1704763840 1770331680 1917859320 1967035200 1983992400 2130954800 2212914600 2301431184 2397324150 2557145760 2645323200 2876788980 2950552800 3068574912 3196432200 3540663360 3595986225 3835718640 3967984800 4261909600 4425829200 4602862368 4794648300 5114291520 5753577960 5901105600 6392864400 7191972450 7671437280 7935969600 8523819200 8851658400 9205724736 9589296600 11507155920 12785728800 14383944900 15342874560 17703316800 19178593200 23014311840 25571457600 28767889800 38357186400 46028623680 57535779600 76714372800 115071559200 230143118400
- Sum of all divisors σ(n): 940646937600
- Sum of proper divisors (its aliquot sum) s(n): 710503819200
- 230143118400 is an abundant number, because the sum of its proper divisors (710503819200) is greater than itself. Its abundance is 480360700800
Bases of 230143118400
- Binary: 110101100101011001100101001100010000002
- Hexadecimal: 0x3595994C40
- Base-36: 2XQ59QO0
Squares and roots of 230143118400
- 230143118400 squared (2301431184002) is 52965854946876418560000
- 230143118400 cubed (2301431184003) is 12189727026196205306822037504000000
-
The
square root of 230143118400 is 479732.3403732543 -
The
cube root of 230143118400 is 6128.1962462177
Scales and comparisons
How big is 230143118400?- 230,143,118,400 seconds is equal to 7,317 years, 43 weeks, 4 days, 12 hours.
-
To count from 1 to 230,143,118,400 would take you about fourteen thousand, six hundred thirty-five 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 230143118400 cubic inches would be around 510.7 feet tall.
Recreational maths with 230143118400
- 230143118400 backwards is 004811341032
- 230143118400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230143118400's digits is 27
- 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 230143118400 - Facts about the integer". Numbermatics.com. 2024. Web. 20 June 2024.
APA style:
Numbermatics. (2024). Number 230143118400 - Facts about the integer. Retrieved 20 June 2024, from https://numbermatics.com/n/230143118400/
Chicago style:
Numbermatics. 2024. "Number 230143118400 - Facts about the integer". https://numbermatics.com/n/230143118400/
The information we have on file for 230143118400 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 230143118400, math, Factors of 230143118400, curriculum, school, college, exams, university, Prime factorization of 230143118400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty billion, one hundred forty-three million, one hundred eighteen thousand, four hundred.