213442838400
213,442,838,400 is an even composite number composed of six prime numbers multiplied together.
213442838400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of eight hundred sixty-four divisors.
Prime factorization of 213442838400:
27 × 3 × 52 × 112 × 192 × 509
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 11 × 19 × 19 × 509)See below for interesting mathematical facts about the number 213442838400 from the Numbermatics database.
Names of 213442838400
- Cardinal: 213442838400 can be written as Two hundred thirteen billion, four hundred forty-two million, eight hundred thirty-eight thousand, four hundred.
Scientific notation
- Scientific notation: 2.134428384 × 1011
Factors of 213442838400
Divisors of 213442838400
- Number of divisors d(n): 864
-
Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 19 20 22 24 25 30 32 33 38 40 44 48 50 55 57 60 64 66 75 76 80 88 95 96 100 110 114 120 121 128 132 150 152 160 165 176 190 192 200 209 220 228 240 242 264 275 285 300 304 320 330 352 361 363 380 384 400 418 440 456 475 480 484 509 528 550 570 600 605 608 627 640 660 704 722 726 760 800 825 836 880 912 950 960 968 1018 1045 1056 1083 1100 1140 1200 1210 1216 1254 1320 1408 1425 1444 1452 1520 1527 1600 1650 1672 1760 1805 1815 1824 1900 1920 1936 2036 2090 2112 2166 2200 2280 2299 2400 2420 2432 2508 2545 2640 2850 2888 2904 3025 3040 3054 3135 3200 3300 3344 3520 3610 3630 3648 3800 3872 3971 4072 4180 4224 4332 4400 4560 4598 4800 4840 5016 5090 5225 5280 5415 5599 5700 5776 5808 6050 6080 6108 6270 6600 6688 6897 7040 7220 7260 7296 7600 7635 7744 7942 8144 8360 8664 8800 9025 9075 9120 9196 9600 9671 9680 10032 10180 10450 10560 10830 11198 11400 11495 11552 11616 11913 12100 12160 12216 12540 12725 13200 13376 13794 14440 14520 15200 15270 15488 15675 15884 16288 16720 16797 17328 17600 18050 18150 18240 18392 19342 19360 19855 20064 20360 20900 21120 21660 22396 22800 22990 23104 23232 23826 24200 24432 25080 25450 26400 26752 27075 27588 27995 28880 29013 29040 30400 30540 31350 31768 32576 33440 33594 34485 34656 35200 36100 36300 36480 36784 38175 38684 38720 39710 40128 40720 41800 43320 43681 44792 45600 45980 46208 46464 47652 48355 48400 48864 50160 50900 52800 54150 55176 55990 57475 57760 58026 58080 59565 60800 61080 61589 62700 63536 65152 66880 67188 68970 69312 72200 72600 73568 76350 77368 77440 79420 80256 81440 83600 83985 86640 87362 89584 91200 91960 95304 96710 96800 97728 99275 100320 101800 105600 106381 108300 110352 111980 114950 115520 116052 116160 119130 122160 123178 125400 127072 131043 133760 134376 137940 138624 139975 144400 145065 145200 147136 152700 154736 158840 162880 167200 167970 172425 173280 174724 179168 182400 183749 183920 184767 190608 193420 193600 195456 198550 200640 203600 212762 216600 218405 220704 223960 229900 231040 232104 232320 238260 241775 244320 246356 250800 254144 262086 268752 275880 279950 288800 290130 290400 294272 297825 305400 307945 309472 317680 319143 325760 334400 335940 344850 346560 349448 358336 367498 367840 369534 381216 386840 387200 397100 401280 407200 419925 425524 433200 436810 441408 447920 459800 464208 476520 483550 488640 492712 501600 508288 524172 531905 537504 551247 551760 559900 577600 580260 580800 595650 610800 615890 618944 635360 638286 655215 668800 671880 689700 693120 698896 716672 725325 734996 735680 739068 762432 773680 794200 814400 839850 851048 866400 873620 882816 895840 918745 919600 923835 928416 953040 967100 977280 985424 1003200 1048344 1063810 1075008 1092025 1102494 1103520 1119800 1155200 1160520 1161600 1170191 1191300 1221600 1231780 1237888 1270720 1276572 1310430 1343760 1379400 1397792 1450650 1469992 1471360 1478136 1524864 1539725 1547360 1588400 1595715 1628800 1679700 1702096 1732800 1747240 1791680 1837490 1839200 1847670 1856832 1906080 1934200 1970848 2006400 2021239 2096688 2127620 2150016 2184050 2204988 2207040 2239600 2321040 2340382 2382600 2443200 2463560 2541440 2553144 2620860 2659525 2687520 2756235 2758800 2795584 2901300 2939984 2956272 3079450 3094720 3176800 3191430 3276075 3359400 3404192 3465600 3494480 3510573 3583360 3674980 3678400 3695340 3713664 3812160 3868400 3941696 4042478 4193376 4255240 4368100 4409976 4414080 4479200 4593725 4619175 4642080 4680764 4765200 4886400 4927120 5106288 5241720 5319050 5375040 5512470 5517600 5591168 5802600 5850955 5879968 5912544 6063717 6158900 6189440 6353600 6382860 6552150 6718800 6808384 6988960 7021146 7349960 7356800 7390680 7624320 7736800 7883392 7978575 8084956 8386752 8510480 8736200 8819952 8958400 9187450 9238350 9284160 9361528 9530400 9854240 10106195 10212576 10483440 10638100 10750080 11024940 11035200 11605200 11701910 11759936 11825088 12127434 12317800 12707200 12765720 13104300 13437600 13616768 13781175 13977920 14042292 14699920 14781360 15473600 15957150 16169912 16773504 17020960 17472400 17552865 17639904 17916800 18374900 18476700 18568320 18723056 19060800 19708480 20212390 20425152 20966880 21276200 22049880 22070400 22233629 23210400 23403820 23519872 23650176 24254868 24635600 25531440 26208600 26875200 27562350 27955840 28084584 29254775 29399840 29562720 30318585 30947200 31914300 32339824 34041920 34944800 35105730 35279808 36749800 36953400 37446112 38121600 39416960 40424780 40850304 41933760 42552400 44099760 44467258 46420800 46807640 48509736 49271200 50530975 51062880 52417200 53750400 55124700 56169168 58509550 58799680 59125440 60637170 63828600 64679648 66700887 68083840 69889600 70211460 70559616 73499600 73906800 74892224 80849560 83867520 85104800 87764325 88199520 88934516 92841600 93615280 97019472 98542400 101061950 102125760 104834400 110249400 111168145 112338336 117019100 117599360 118250880 121274340 127657200 129359296 133401774 139779200 140422920 146999200 147813600 149784448 151592925 161699120 170209600 175528650 176399040 177869032 187230560 194038944 197084800 202123900 204251520 209668800 220498800 222336290 224676672 234038200 242548680 255314400 258718592 266803548 280845840 293998400 295627200 303185850 323398240 333504435 340419200 351057300 352798080 355738064 374461120 388077888 404247800 419337600 440997600 444672580 449353344 468076400 485097360 510628800 533607096 555840725 561691680 587996800 591254400 606371700 646796480 667008870 702114600 711476128 748922240 776155776 808495600 881995200 889345160 936152800 970194720 1021257600 1067214192 1111681450 1123383360 1212743400 1293592960 1334017740 1404229200 1422952256 1616991200 1667522175 1763990400 1778690320 1872305600 1940389440 2134428384 2223362900 2246766720 2425486800 2668035480 2808458400 2845904512 3233982400 3335044350 3557380640 3744611200 3880778880 4268856768 4446725800 4850973600 5336070960 5616916800 6467964800 6670088700 7114761280 8537713536 8893451600 9701947200 10672141920 11233833600 13340177400 14229522560 17786903200 19403894400 21344283840 26680354800 35573806400 42688567680 53360709600 71147612800 106721419200 213442838400
- Sum of all divisors σ(n): 817162932600
- Sum of proper divisors (its aliquot sum) s(n): 603720094200
- 213442838400 is an abundant number, because the sum of its proper divisors (603720094200) is greater than itself. Its abundance is 390277255800
Bases of 213442838400
- Binary: 110001101100100010111100111111100000002
- Hexadecimal: 0x31B22F3F80
- Base-36: 2Q1YCS5C
Squares and roots of 213442838400
- 213442838400 squared (2134428384002) is 45557845264248514560000
- 213442838400 cubed (2134428384003) is 9723995804589200990670127104000000
-
The
square root of 213442838400 is 461998.7428554325 -
The
cube root of 213442838400 is 5976.2285216255
Scales and comparisons
How big is 213442838400?- 213,442,838,400 seconds is equal to 6,786 years, 42 weeks, 5 days, 5 hours, 20 minutes.
-
To count from 1 to 213,442,838,400 would take you about thirteen thousand, five hundred seventy-three 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 213442838400 cubic inches would be around 498 feet tall.
Recreational maths with 213442838400
- 213442838400 backwards is 004838244312
- The number of decimal digits it has is: 12
- The sum of 213442838400's digits is 39
- More coming soon!
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The information we have on file for 213442838400 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!
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