213914400
213,914,400 is an even composite number composed of six prime numbers multiplied together.
213914400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 213914400:
25 × 3 × 52 × 72 × 17 × 107
(2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 7 × 17 × 107)See below for interesting mathematical facts about the number 213914400 from the Numbermatics database.
Names of 213914400
- Cardinal: 213914400 can be written as Two hundred thirteen million, nine hundred fourteen thousand, four hundred.
Scientific notation
- Scientific notation: 2.139144 × 108
Factors of 213914400
Divisors of 213914400
- Number of divisors d(n): 432
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 25 28 30 32 34 35 40 42 48 49 50 51 56 60 68 70 75 80 84 85 96 98 100 102 105 107 112 119 120 136 140 147 150 160 168 170 175 196 200 204 210 214 224 238 240 245 255 272 280 294 300 321 336 340 350 357 392 400 408 420 425 428 476 480 490 510 525 535 544 560 588 595 600 642 672 680 700 714 735 749 784 800 816 833 840 850 856 952 980 1020 1050 1070 1120 1176 1190 1200 1225 1275 1284 1360 1400 1428 1470 1498 1568 1605 1632 1666 1680 1700 1712 1785 1819 1904 1960 2040 2100 2140 2247 2352 2380 2400 2450 2499 2550 2568 2675 2720 2800 2856 2940 2975 2996 3210 3332 3360 3400 3424 3570 3638 3675 3745 3808 3920 4080 4165 4200 4280 4494 4704 4760 4900 4998 5100 5136 5243 5350 5457 5600 5712 5880 5950 5992 6420 6664 6800 7140 7276 7350 7490 7840 8025 8160 8330 8400 8560 8925 8988 9095 9520 9800 9996 10200 10272 10486 10700 10914 11235 11424 11760 11900 11984 12495 12733 12840 13328 13600 14280 14552 14700 14980 15729 16050 16660 16800 17120 17850 17976 18190 18725 19040 19600 19992 20400 20825 20972 21400 21828 22470 23520 23800 23968 24990 25466 25680 26215 26656 27285 28560 29104 29400 29960 31458 32100 33320 35700 35952 36380 37450 38199 39200 39984 40800 41650 41944 42800 43656 44940 45475 47600 49980 50932 51360 52430 54570 56175 57120 58208 58800 59920 62475 62916 63665 64200 66640 71400 71904 72760 74900 76398 78645 79968 83300 83888 85600 87312 89131 89880 90950 95200 99960 101864 104860 109140 112350 117600 119840 124950 125832 127330 128400 131075 133280 136425 142800 145520 149800 152796 157290 166600 167776 174624 178262 179760 181900 190995 199920 203728 209720 218280 224700 249900 251664 254660 256800 262150 267393 272850 285600 291040 299600 305592 314580 318325 333200 356524 359520 363800 381990 393225 399840 407456 419440 436560 445655 449400 499800 503328 509320 524300 534786 545700 599200 611184 629160 636650 666400 713048 727600 763980 786450 838880 873120 891310 898800 954975 999600 1018640 1048600 1069572 1091400 1222368 1258320 1273300 1336965 1426096 1455200 1527960 1572900 1782620 1797600 1909950 1999200 2037280 2097200 2139144 2182800 2228275 2516640 2546600 2673930 2852192 3055920 3145800 3565240 3819900 4194400 4278288 4365600 4456550 5093200 5347860 6111840 6291600 6684825 7130480 7639800 8556576 8913100 10186400 10695720 12583200 13369650 14260960 15279600 17826200 21391440 26739300 30559200 35652400 42782880 53478600 71304800 106957200 213914400
- Sum of all divisors σ(n): 865632096
- Sum of proper divisors (its aliquot sum) s(n): 651717696
- 213914400 is an abundant number, because the sum of its proper divisors (651717696) is greater than itself. Its abundance is 437803296
Bases of 213914400
- Binary: 11001100000000010011001000002
- Hexadecimal: 0xCC01320
- Base-36: 3JCXEO
Squares and roots of 213914400
- 213914400 squared (2139144002) is 45759370527360000
- 213914400 cubed (2139144003) is 9788588290737897984000000
-
The
square root of 213914400 is 14625.8127979269 -
The
cube root of 213914400 is 598.0626400157
Scales and comparisons
How big is 213914400?- 213,914,400 seconds is equal to 6 years, 41 weeks, 4 days, 20 hours, 40 minutes.
-
To count from 1 to 213,914,400 would take you about ten 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 213914400 cubic inches would be around 49.8 feet tall.
Recreational maths with 213914400
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 213914400 - Facts about the integer". Numbermatics.com. 2024. Web. 3 May 2024.
APA style:
Numbermatics. (2024). Number 213914400 - Facts about the integer. Retrieved 3 May 2024, from https://numbermatics.com/n/213914400/
Chicago style:
Numbermatics. 2024. "Number 213914400 - Facts about the integer". https://numbermatics.com/n/213914400/
The information we have on file for 213914400 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 213914400, math, Factors of 213914400, curriculum, school, college, exams, university, Prime factorization of 213914400, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen million, nine hundred fourteen thousand, four hundred.