213848469120
213,848,469,120 is an even composite number composed of seven prime numbers multiplied together.
213848469120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and twenty-four divisors.
Prime factorization of 213848469120:
27 × 3 × 5 × 113 × 13 × 41 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 11 × 11 × 13 × 41 × 157)See below for interesting mathematical facts about the number 213848469120 from the Numbermatics database.
Names of 213848469120
- Cardinal: 213848469120 can be written as Two hundred thirteen billion, eight hundred forty-eight million, four hundred sixty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1384846912 × 1011
Factors of 213848469120
Divisors of 213848469120
- Number of divisors d(n): 1024
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 32 33 39 40 41 44 48 52 55 60 64 65 66 78 80 82 88 96 104 110 120 121 123 128 130 132 143 156 157 160 164 165 176 192 195 205 208 220 240 242 246 260 264 286 312 314 320 328 330 352 363 384 390 410 416 429 440 451 471 480 484 492 520 528 533 572 605 615 624 628 640 656 660 704 715 726 780 785 820 832 858 880 902 942 960 968 984 1040 1056 1066 1144 1210 1230 1248 1256 1312 1320 1331 1353 1408 1430 1452 1560 1570 1573 1599 1640 1664 1716 1727 1760 1804 1815 1884 1920 1936 1968 2041 2080 2112 2132 2145 2255 2288 2355 2420 2460 2496 2512 2624 2640 2662 2665 2706 2860 2904 3120 3140 3146 3198 3280 3432 3454 3520 3608 3630 3768 3872 3936 3993 4082 4160 4224 4264 4290 4510 4576 4710 4719 4840 4920 4961 4992 5024 5181 5248 5280 5324 5330 5412 5720 5808 5863 6123 6240 6280 6292 6396 6437 6560 6655 6765 6864 6908 7040 7216 7260 7536 7744 7865 7872 7986 7995 8164 8320 8528 8580 8635 9020 9152 9420 9438 9680 9840 9922 10048 10205 10362 10560 10648 10660 10824 11440 11616 11726 12246 12480 12560 12584 12792 12874 13120 13310 13530 13728 13816 14432 14520 14883 15072 15488 15730 15744 15972 15990 16328 17056 17160 17270 17303 17589 18040 18304 18840 18876 18997 19311 19360 19680 19844 19965 20096 20410 20724 21120 21296 21320 21648 22451 22880 23232 23452 23595 24492 24805 24960 25120 25168 25584 25748 25905 26240 26620 27060 27456 27632 28864 29040 29315 29766 30144 30615 31460 31944 31980 32185 32656 34112 34320 34540 34606 35178 36080 37680 37752 37994 38622 38720 39360 39688 39930 40820 41448 42592 42640 43296 44902 45760 46464 46904 47190 48984 49610 50240 50336 51168 51496 51810 51909 53240 54120 54571 54912 55264 56991 57728 58080 58630 59532 60288 61230 62920 63888 63960 64370 64493 65312 67353 68224 68640 69080 69212 70356 70807 72160 74415 75360 75504 75988 77244 77440 78720 79376 79860 81640 82896 83681 85184 85280 86515 86592 87945 89804 91520 93808 94380 94985 96555 97968 99220 100480 100672 102336 102992 103620 103818 106480 108240 109142 110528 112255 113982 116160 117260 119064 122460 125840 127776 127920 128740 128986 130624 134706 137280 138160 138424 140712 141614 144320 148830 150720 151008 151976 154488 158752 159720 163280 163713 165792 167362 170368 170560 173030 173184 175890 179608 187616 188760 189970 193110 193479 195936 198440 201344 204672 205984 207240 207636 208967 212421 212960 216480 218284 221056 224510 227964 232320 234520 238128 244920 246961 251043 251680 255552 255840 257480 257972 259545 261248 269412 272855 274560 276320 276848 281424 283228 284955 288640 297660 301440 302016 303952 308976 317504 319440 322465 326560 327426 331584 334724 336765 341120 346060 351780 354035 359216 375232 377520 379940 386220 386958 391872 396880 411968 414480 415272 417934 418405 424842 425920 432960 436568 449020 455928 469040 476256 489840 493922 502086 503360 511104 511680 514960 515944 519090 538824 545710 552640 553696 562848 566456 569910 595320 604032 607904 617952 626901 635008 638880 644930 653120 654852 663168 669448 673530 692120 703560 708070 709423 718432 740883 750464 755040 759880 772440 773916 778877 783744 793760 818565 823936 828960 830544 835868 836810 849684 851840 865920 873136 898040 911856 920491 938080 952512 967395 979680 987844 1004172 1006720 1023360 1029920 1031888 1038180 1044835 1062105 1077648 1091420 1105280 1107392 1125696 1132912 1139820 1190640 1215808 1234805 1235904 1253802 1255215 1277760 1289860 1306240 1309704 1338896 1347060 1384240 1407120 1416140 1418846 1436864 1481766 1510080 1519760 1544880 1547832 1557754 1587520 1637130 1657920 1661088 1671736 1673620 1699368 1746272 1796080 1823712 1840982 1876160 1905024 1934790 1959360 1975688 2008344 2059840 2063776 2076360 2089670 2124210 2128269 2155296 2182840 2214784 2251392 2265824 2279640 2336631 2381280 2431616 2469610 2471808 2507604 2510430 2555520 2579720 2619408 2677792 2694120 2716571 2761473 2768480 2814240 2832280 2837692 2873728 2963532 3020160 3039520 3089760 3095664 3115508 3134505 3175040 3274260 3315840 3322176 3343472 3347240 3398736 3492544 3547115 3592160 3647424 3681964 3704415 3752320 3869580 3894385 3918720 3951376 4016688 4119680 4127552 4152720 4179340 4248420 4256538 4310592 4365680 4531648 4559280 4602455 4673262 4762560 4939220 5015208 5020860 5159440 5238816 5355584 5388240 5433142 5522946 5536960 5628480 5664560 5675384 5927064 6079040 6179520 6191328 6231016 6269010 6548520 6644352 6686944 6694480 6797472 6985088 7094230 7184320 7294848 7363928 7408830 7739160 7788770 7902752 8033376 8149713 8255104 8305440 8358680 8496840 8513076 8567647 8621184 8731360 9063296 9118560 9204910 9346524 9525120 9878440 10030416 10041720 10125401 10318880 10477632 10641345 10711168 10776480 10866284 11045892 11073920 11256960 11329120 11350768 11683155 11854128 12158080 12359040 12382656 12462032 12538020 13097040 13373888 13388960 13582855 13594944 13807365 14188460 14368640 14727856 14817660 15478320 15577540 15805504 16066752 16299426 16610880 16717360 16993680 17026152 17135294 17462720 18237120 18409820 18693048 19756880 20060832 20083440 20250802 20637760 20955264 21282690 21552960 21732568 22091784 22658240 22701536 23366310 23708256 24765312 24924064 25076040 25702941 26194080 26747776 26777920 27165710 27189888 27614730 28376920 29455712 29635320 30376203 30956640 31155080 31611008 32133504 32598852 33221760 33434720 33987360 34052304 34270588 34925440 36474240 36819640 37386096 39513760 40121664 40166880 40501604 40748565 41275520 42565380 42838235 43105920 43465136 44183568 45316480 45403072 46732620 47416512 49848128 50152080 50627005 51405882 52388160 53555840 54331420 55229460 56753840 58911424 59270640 60752406 61913280 62310160 65197704 66869440 67974720 68104608 68541176 73639280 74772192 79027520 80243328 80333760 81003208 81497130 85130760 85676470 86930272 88367136 90806144 93465240 94833024 99696256 100304160 101254010 102811764 104776320 108662840 110458920 111379411 113507680 117822848 118541280 121504812 123826560 124620320 128514705 130395408 133738880 135949440 136209216 137082352 147278560 149544384 151881015 158055040 160667520 162006416 162994260 170261520 171352940 173860544 176734272 186930480 200608320 202508020 205623528 217325680 220917840 222758822 227015360 237082560 243009624 249240640 257029410 260790816 272418432 274164704 294557120 299088768 303762030 324012832 325988520 334138233 340523040 342705880 347721088 353468544 373860960 401216640 405016040 411247056 434651360 441835680 445517644 454030720 474165120 486019248 498481280 514058820 521581632 548329408 556897055 589114240 607524060 648025664 651977040 668276466 681046080 685411760 747721920 810032080 822494112 869302720 883671360 891035288 972038496 1028117640 1043163264 1096658816 1113794110 1215048120 1296051328 1303954080 1336552932 1362092160 1370823520 1495443840 1620064160 1644988224 1670691165 1738605440 1767342720 1782070576 1944076992 2056235280 2227588220 2430096240 2607908160 2673105864 2741647040 3240128320 3289976448 3341382330 3564141152 3888153984 4112470560 4455176440 4860192480 5215816320 5346211728 5483294080 6480256640 6682764660 7128282304 8224941120 8910352880 9720384960 10692423456 13365529320 14256564608 16449882240 17820705760 19440769920 21384846912 26731058640 35641411520 42769693824 53462117280 71282823040 106924234560 213848469120
- Sum of all divisors σ(n): 832390110720
- Sum of proper divisors (its aliquot sum) s(n): 618541641600
- 213848469120 is an abundant number, because the sum of its proper divisors (618541641600) is greater than itself. Its abundance is 404693172480
Bases of 213848469120
- Binary: 110001110010100101110010101110100000002
- Hexadecimal: 0x31CA5CAE80
- Base-36: 2Q8NUUTC
Squares and roots of 213848469120
- 213848469120 squared (2138484691202) is 45731167744967593574400
- 213848469120 cubed (2138484691203) is 9779540213331242469895788822528000
-
The
square root of 213848469120 is 462437.5299648591 -
The
cube root of 213848469120 is 5980.0119043919
Scales and comparisons
How big is 213848469120?- 213,848,469,120 seconds is equal to 6,799 years, 37 weeks, 3 days, 32 minutes.
-
To count from 1 to 213,848,469,120 would take you about thirteen thousand, five hundred ninety-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 213848469120 cubic inches would be around 498.3 feet tall.
Recreational maths with 213848469120
- 213848469120 backwards is 021964848312
- 213848469120 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213848469120's digits is 48
- 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 213848469120 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
APA style:
Numbermatics. (2024). Number 213848469120 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/213848469120/
Chicago style:
Numbermatics. 2024. "Number 213848469120 - Facts about the integer". https://numbermatics.com/n/213848469120/
The information we have on file for 213848469120 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 213848469120, math, Factors of 213848469120, curriculum, school, college, exams, university, Prime factorization of 213848469120, STEM, science, technology, engineering, physics, economics, calculator, two hundred thirteen billion, eight hundred forty-eight million, four hundred sixty-nine thousand, one hundred twenty.