230993078400
230,993,078,400 is an even composite number composed of five prime numbers multiplied together.
230993078400 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 230993078400:
27 × 35 × 52 × 7 × 42437
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 7 × 42437)See below for interesting mathematical facts about the number 230993078400 from the Numbermatics database.
Names of 230993078400
- Cardinal: 230993078400 can be written as Two hundred thirty billion, nine hundred ninety-three million, seventy-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.309930784 × 1011
Factors of 230993078400
Divisors of 230993078400
- Number of divisors d(n): 576
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 27 28 30 32 35 36 40 42 45 48 50 54 56 60 63 64 70 72 75 80 81 84 90 96 100 105 108 112 120 126 128 135 140 144 150 160 162 168 175 180 189 192 200 210 216 224 225 240 243 252 270 280 288 300 315 320 324 336 350 360 378 384 400 405 420 432 448 450 480 486 504 525 540 560 567 576 600 630 640 648 672 675 700 720 756 800 810 840 864 896 900 945 960 972 1008 1050 1080 1120 1134 1152 1200 1215 1260 1296 1344 1350 1400 1440 1512 1575 1600 1620 1680 1701 1728 1800 1890 1920 1944 2016 2025 2100 2160 2240 2268 2400 2430 2520 2592 2688 2700 2800 2835 2880 3024 3150 3200 3240 3360 3402 3456 3600 3780 3888 4032 4050 4200 4320 4480 4536 4725 4800 4860 5040 5184 5400 5600 5670 5760 6048 6075 6300 6480 6720 6804 7200 7560 7776 8064 8100 8400 8505 8640 9072 9450 9600 9720 10080 10368 10800 11200 11340 12096 12150 12600 12960 13440 13608 14175 14400 15120 15552 16200 16800 17010 17280 18144 18900 19440 20160 21600 22400 22680 24192 24300 25200 25920 27216 28350 28800 30240 31104 32400 33600 34020 36288 37800 38880 40320 42437 42525 43200 45360 48600 50400 51840 54432 56700 60480 64800 67200 68040 72576 75600 77760 84874 85050 86400 90720 97200 100800 108864 113400 120960 127311 129600 136080 151200 155520 169748 170100 181440 194400 201600 212185 217728 226800 254622 259200 272160 297059 302400 339496 340200 362880 381933 388800 424370 453600 509244 544320 594118 604800 636555 678992 680400 763866 777600 848740 891177 907200 1018488 1060925 1088640 1145799 1188236 1273110 1357984 1360800 1485295 1527732 1697480 1782354 1814400 1909665 2036976 2121850 2291598 2376472 2546220 2673531 2715968 2721600 2970590 3055464 3182775 3394960 3437397 3564708 3819330 4073952 4243700 4455885 4583196 4752944 5092440 5347062 5431936 5443200 5728995 5941180 6110928 6365550 6789920 6874794 7129416 7426475 7638660 8020593 8147904 8487400 8911770 9166392 9505888 9548325 10184880 10312191 10694124 11457990 11882360 12221856 12731100 13367655 13579840 13749588 14258832 14852950 15277320 16041186 16295808 16974800 17186985 17823540 18332784 19011776 19096650 20369760 20624382 21388248 22279425 22915980 23764720 24061779 24443712 25462200 26735310 27159680 27499176 28517664 28644975 29705900 30554640 32082372 33949600 34373970 35647080 36665568 38023552 38193300 40102965 40739520 41248764 42776496 44558850 45831960 47529440 48123558 48887424 50924400 51560955 53470620 54998352 57035328 57289950 59411800 61109280 64164744 66838275 67899200 68747940 71294160 72185337 73331136 76386600 80205930 81479040 82497528 85552992 85934925 89117700 91663920 95058880 96247116 101848800 103121910 106941240 109996704 114070656 114579900 118823600 120308895 122218560 128329488 133676550 135798400 137495880 142588320 144370674 146662272 152773200 160411860 164995056 171105984 171869850 178235400 183327840 190117760 192494232 200514825 203697600 206243820 213882480 219993408 229159800 237647200 240617790 244437120 256658976 257804775 267353100 274991760 285176640 288741348 305546400 320823720 329990112 342211968 343739700 356470800 360926685 366655680 384988464 401029650 407395200 412487640 427764960 439986816 458319600 475294400 481235580 513317952 515609550 534706200 549983520 570353280 577482696 601544475 611092800 641647440 659980224 687479400 712941600 721853370 733311360 769976928 802059300 824975280 855529920 916639200 950588800 962471160 1026635904 1031219100 1069412400 1099967040 1154965392 1203088950 1222185600 1283294880 1319960448 1374958800 1425883200 1443706740 1539953856 1604118600 1649950560 1711059840 1804633425 1833278400 1924942320 2062438200 2138824800 2199934080 2309930784 2406177900 2566589760 2749917600 2851766400 2887413480 3079907712 3208237200 3299901120 3609266850 3666556800 3849884640 4124876400 4277649600 4619861568 4812355800 5133179520 5499835200 5774826960 6416474400 6599802240 7218533700 7699769280 8249752800 8555299200 9239723136 9624711600 10999670400 11549653920 12832948800 14437067400 15399538560 16499505600 19249423200 23099307840 25665897600 28874134800 32999011200 38498846400 46198615680 57748269600 76997692800 115496539200 230993078400
- Sum of all divisors σ(n): 976895599680
- Sum of proper divisors (its aliquot sum) s(n): 745902521280
- 230993078400 is an abundant number, because the sum of its proper divisors (745902521280) is greater than itself. Its abundance is 514909442880
Bases of 230993078400
- Binary: 110101110010000100001010101000100000002
- Hexadecimal: 0x35C842A880
- Base-36: 2Y47BC00
Squares and roots of 230993078400
- 230993078400 squared (2309930784002) is 53357802268708546560000
- 230993078400 cubed (2309930784003) is 12325283002707491162284130304000000
-
The
square root of 230993078400 is 480617.3929437011 -
The
cube root of 230993078400 is 6135.7311554987
Scales and comparisons
How big is 230993078400?- 230,993,078,400 seconds is equal to 7,344 years, 45 weeks.
-
To count from 1 to 230,993,078,400 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 230993078400 cubic inches would be around 511.3 feet tall.
Recreational maths with 230993078400
- 230993078400 backwards is 004870399032
- 230993078400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230993078400's digits is 45
- 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 230993078400 - Facts about the integer". Numbermatics.com. 2024. Web. 23 September 2024.
APA style:
Numbermatics. (2024). Number 230993078400 - Facts about the integer. Retrieved 23 September 2024, from https://numbermatics.com/n/230993078400/
Chicago style:
Numbermatics. 2024. "Number 230993078400 - Facts about the integer". https://numbermatics.com/n/230993078400/
The information we have on file for 230993078400 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 230993078400, math, Factors of 230993078400, curriculum, school, college, exams, university, Prime factorization of 230993078400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirty billion, nine hundred ninety-three million, seventy-eight thousand, four hundred.