230984352000
230,984,352,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 230984352000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 576 divisors.
230984352000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of five hundred seventy-six divisors.
Prime factorization of 230984352000:
28 × 33 × 53 × 83 × 3221
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 83 × 3221)See below for interesting mathematical facts about the number 230984352000 from the Numbermatics database.
Names of 230984352000
- Cardinal: 230984352000 can be written as Two hundred thirty billion, nine hundred eighty-four million, three hundred fifty-two thousand.
Scientific notation
- Scientific notation: 2.30984352 × 1011
Factors of 230984352000
Divisors of 230984352000
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 83 90 96 100 108 120 125 128 135 144 150 160 166 180 192 200 216 225 240 249 250 256 270 288 300 320 332 360 375 384 400 415 432 450 480 498 500 540 576 600 640 664 675 720 747 750 768 800 830 864 900 960 996 1000 1080 1125 1152 1200 1245 1280 1328 1350 1440 1494 1500 1600 1660 1728 1800 1920 1992 2000 2075 2160 2241 2250 2304 2400 2490 2656 2700 2880 2988 3000 3200 3221 3320 3375 3456 3600 3735 3840 3984 4000 4150 4320 4482 4500 4800 4980 5312 5400 5760 5976 6000 6225 6400 6442 6640 6750 6912 7200 7470 7968 8000 8300 8640 8964 9000 9600 9663 9960 10375 10624 10800 11205 11520 11952 12000 12450 12884 13280 13500 14400 14940 15936 16000 16105 16600 17280 17928 18000 18675 19200 19326 19920 20750 21248 21600 22410 23904 24000 24900 25768 26560 27000 28800 28989 29880 31125 31872 32000 32210 33200 34560 35856 36000 37350 38652 39840 41500 43200 44820 47808 48000 48315 49800 51536 53120 54000 56025 57600 57978 59760 62250 63744 64420 66400 71712 72000 74700 77304 79680 80525 83000 86400 86967 89640 93375 95616 96000 96630 99600 103072 106240 108000 112050 115956 119520 124500 128840 132800 143424 144000 144945 149400 154608 159360 161050 166000 172800 173934 179280 186750 191232 193260 199200 206144 216000 224100 231912 239040 241575 249000 257680 265600 267343 280125 286848 288000 289890 298800 309216 318720 322100 332000 347868 358560 373500 386520 398400 402625 412288 432000 434835 448200 463824 478080 483150 498000 515360 531200 534686 560250 573696 579780 597600 618432 644200 664000 695736 717120 724725 747000 773040 796800 802029 805250 824576 864000 869670 896400 927648 956160 966300 996000 1030720 1069372 1120500 1159560 1195200 1207875 1236864 1288400 1328000 1336715 1391472 1434240 1449450 1494000 1546080 1593600 1604058 1610500 1739340 1792800 1855296 1932600 1992000 2061440 2138744 2174175 2241000 2319120 2390400 2406087 2415750 2473728 2576800 2656000 2673430 2782944 2868480 2898900 2988000 3092160 3208116 3221000 3478680 3585600 3623625 3710592 3865200 3984000 4010145 4122880 4277488 4348350 4482000 4638240 4780800 4812174 4831500 5153600 5346860 5565888 5797800 5976000 6184320 6416232 6442000 6683575 6957360 7171200 7218261 7247250 7421184 7730400 7968000 8020290 8554976 8696700 8964000 9276480 9624348 9663000 10307200 10693720 10870875 11131776 11595600 11952000 12030435 12368640 12832464 12884000 13367150 13914720 14342400 14436522 14494500 15460800 16040580 17109952 17393400 17928000 18552960 19248696 19326000 20050725 20614400 21387440 21741750 22263552 23191200 23904000 24060870 25664928 25768000 26734300 27829440 28873044 28989000 30921600 32081160 33417875 34219904 34786800 35856000 36091305 37105920 38497392 38652000 40101450 42774880 43483500 46382400 48121740 51329856 51536000 53468600 55658880 57746088 57978000 60152175 61843200 64162320 66835750 68439808 69573600 71712000 72182610 76994784 77304000 80202900 85549760 86967000 92764800 96243480 100253625 102659712 103072000 106937200 111317760 115492176 115956000 120304350 128324640 133671500 139147200 144365220 153989568 154608000 160405800 171099520 173934000 180456525 185529600 192486960 200507250 205319424 213874400 230984352 231912000 240608700 256649280 267343000 278294400 288730440 300760875 307979136 309216000 320811600 342199040 347868000 360913050 384973920 401014500 427748800 461968704 463824000 481217400 513298560 534686000 556588800 577460880 601521750 615958272 641623200 695736000 721826100 769947840 802029000 855497600 902282625 923937408 927648000 962434800 1026597120 1069372000 1154921760 1203043500 1283246400 1391472000 1443652200 1539895680 1604058000 1710995200 1804565250 1847874816 1924869600 2138744000 2309843520 2406087000 2566492800 2782944000 2887304400 3079791360 3208116000 3609130500 3849739200 4277488000 4619687040 4812174000 5132985600 5774608800 6416232000 7218261000 7699478400 8554976000 9239374080 9624348000 11549217600 12832464000 14436522000 15398956800 19248696000 23098435200 25664928000 28873044000 38497392000 46196870400 57746088000 76994784000 115492176000 230984352000
- Sum of all divisors σ(n): 862999038720
- Sum of proper divisors (its aliquot sum) s(n): 632014686720
- 230984352000 is an abundant number, because the sum of its proper divisors (632014686720) is greater than itself. Its abundance is 401030334720
Bases of 230984352000
- Binary: 110101110001111011110110000001000000002
- Hexadecimal: 0x35C7BD8100
- Base-36: 2Y424AO0
Squares and roots of 230984352000
- 230984352000 squared (2309843520002) is 53353770868859904000000
- 230984352000 cubed (2309843520003) is 12323886190900081904222208000000000
-
The
square root of 230984352000 is 480608.3145348195 -
The
cube root of 230984352000 is 6135.6538898091
Scales and comparisons
How big is 230984352000?- 230,984,352,000 seconds is equal to 7,344 years, 30 weeks, 4 days.
-
To count from 1 to 230,984,352,000 would take you about fourteen thousand, six hundred eighty-nine 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 230984352000 cubic inches would be around 511.3 feet tall.
Recreational maths with 230984352000
- 230984352000 backwards is 000253489032
- 230984352000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230984352000's digits is 36
- More coming soon!
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