213942326400
213,942,326,400 is an even composite number composed of six prime numbers multiplied together.
213942326400 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, two hundred ninety-six divisors.
Prime factorization of 213942326400:
27 × 32 × 52 × 112 × 292 × 73
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 11 × 11 × 29 × 29 × 73)See below for interesting mathematical facts about the number 213942326400 from the Numbermatics database.
Names of 213942326400
- Cardinal: 213942326400 can be written as Two hundred thirteen billion, nine hundred forty-two million, three hundred twenty-six thousand, four hundred.
Scientific notation
- Scientific notation: 2.139423264 × 1011
Factors of 213942326400
Divisors of 213942326400
- Number of divisors d(n): 1296
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 29 30 32 33 36 40 44 45 48 50 55 58 60 64 66 72 73 75 80 87 88 90 96 99 100 110 116 120 121 128 132 144 145 146 150 160 165 174 176 180 192 198 200 219 220 225 232 240 242 261 264 275 288 290 292 300 319 320 330 348 352 360 363 365 384 396 400 435 438 440 450 464 480 484 495 522 528 550 576 580 584 600 605 638 640 657 660 696 704 720 725 726 730 792 800 803 825 841 870 876 880 900 928 957 960 968 990 1044 1056 1089 1095 1100 1152 1160 1168 1200 1210 1276 1305 1314 1320 1392 1408 1440 1450 1452 1460 1584 1595 1600 1606 1650 1682 1740 1752 1760 1800 1815 1825 1856 1914 1920 1936 1980 2088 2112 2117 2175 2178 2190 2200 2320 2336 2400 2409 2420 2475 2523 2552 2610 2628 2640 2784 2871 2880 2900 2904 2920 3025 3168 3190 3200 3212 3285 3300 3364 3480 3504 3509 3520 3600 3630 3650 3712 3828 3872 3960 4015 4176 4205 4224 4234 4350 4356 4380 4400 4640 4672 4785 4800 4818 4840 4950 5046 5104 5220 5256 5280 5445 5475 5568 5742 5760 5800 5808 5840 6050 6336 6351 6380 6424 6525 6570 6600 6728 6960 7008 7018 7040 7200 7227 7260 7300 7569 7656 7744 7920 7975 8030 8352 8410 8468 8700 8712 8760 8800 8833 9075 9251 9280 9344 9570 9600 9636 9680 9900 10092 10208 10440 10512 10527 10560 10585 10890 10950 11136 11484 11600 11616 11680 12045 12100 12615 12672 12702 12760 12848 13050 13140 13200 13456 13920 14016 14036 14355 14400 14454 14520 14600 15138 15312 15488 15840 15950 16060 16425 16704 16820 16936 17400 17424 17520 17545 17600 17666 18150 18502 18560 19053 19140 19272 19360 19800 20075 20184 20416 20880 21024 21025 21054 21120 21170 21780 21900 22968 23200 23232 23287 23360 23925 24090 24200 25230 25404 25520 25696 26100 26280 26400 26499 26912 27225 27753 27840 28032 28072 28710 28800 28908 29040 29200 30276 30624 31581 31680 31755 31900 32120 32850 33408 33640 33872 34800 34848 35040 35090 35200 35332 36135 36300 37004 37845 38106 38280 38544 38720 39600 40150 40368 40832 41760 42048 42050 42108 42340 43560 43800 44165 45936 46255 46400 46464 46574 46720 47850 48180 48400 50460 50808 51040 51392 52200 52560 52635 52800 52925 52998 53824 54450 55506 55680 56144 57420 57816 58080 58400 60225 60552 61248 61393 63075 63162 63360 63510 63800 64240 65700 67280 67744 69600 69696 69861 70080 70180 70664 71775 72270 72600 74008 75690 76212 76560 77088 77440 79200 79497 80300 80736 83259 83520 84096 84100 84216 84680 87120 87600 87725 88330 91872 92510 92800 93148 95265 95700 96360 96800 100920 101616 101761 102080 102784 104400 105120 105270 105600 105850 105996 107648 108900 111012 112288 114840 115632 116160 116435 116800 120450 121104 122496 122786 126150 126324 127020 127600 128480 131400 132495 134560 135488 138765 139200 139392 139722 140160 140360 141328 143550 144540 145200 148016 151380 152424 153120 154176 157905 158400 158775 158994 160600 161472 166518 167040 168200 168432 169360 174240 175200 175450 176660 180675 183744 184179 185020 186296 189225 190530 191400 192720 193600 201840 203232 203522 204160 208800 209583 210240 210540 211700 211992 217800 220825 222024 224576 229680 231264 231275 232320 232870 233600 240900 242208 245572 252300 252648 254040 255200 256157 256960 262800 263175 264990 269120 270976 277530 278400 279444 280720 282656 287100 289080 290400 296032 302760 304848 305283 306240 306965 308352 315810 316800 317550 317988 321200 322944 333036 336400 336864 338720 348480 349305 350400 350900 353320 361350 367488 368358 370040 372592 378450 381060 382800 385440 387200 397485 403680 406464 407044 416295 417600 419166 420480 421080 423400 423984 435600 441650 444048 449152 459360 462528 462550 465740 476325 481800 484416 491144 504600 505296 508080 508805 510400 512314 513920 525600 526350 529980 538240 552537 555060 558888 561440 565312 574200 578160 580800 582175 592064 605520 609696 610566 612480 613930 631620 635100 635976 642400 662475 666072 672800 673728 675323 677440 693825 696960 698610 700800 701800 706640 722700 736716 740080 745184 756900 762120 765600 768471 770880 789525 794970 807360 812928 814088 832590 835200 838332 842160 846800 847968 871200 883300 888096 915849 918720 920895 925056 925100 931480 952650 963600 968832 982288 1009200 1010592 1016160 1017610 1020800 1024628 1047915 1051200 1052700 1059960 1105074 1110120 1117776 1122880 1130624 1148400 1156320 1161600 1164350 1184128 1211040 1219392 1221132 1227860 1263240 1270200 1271952 1280785 1284800 1324950 1332144 1345600 1347456 1350646 1354880 1387650 1397220 1403600 1413280 1445400 1473432 1480160 1490368 1513800 1524240 1526415 1531200 1534825 1536942 1541760 1579050 1589940 1614720 1628176 1665180 1676664 1684320 1693600 1695936 1742400 1746525 1766600 1776192 1831698 1837440 1841790 1850200 1862960 1905300 1927200 1964576 1987425 2018400 2021184 2025969 2032320 2035220 2049256 2081475 2095830 2102400 2105400 2119920 2210148 2220240 2235552 2245760 2296800 2305413 2312640 2328700 2422080 2438784 2442264 2455720 2526480 2540400 2543904 2544025 2561570 2569600 2649900 2664288 2691200 2701292 2762685 2775300 2794440 2807200 2826560 2890800 2946864 2960320 2980736 3027600 3048480 3052830 3062400 3069650 3073884 3158100 3179880 3256352 3330360 3353328 3368640 3376615 3387200 3391872 3484800 3493050 3533200 3552384 3663396 3683580 3700400 3725920 3810600 3842355 3854400 3929152 3974850 4036800 4042368 4051938 4064640 4070440 4098512 4162950 4191660 4210800 4239840 4420296 4440480 4471104 4579245 4593600 4604475 4610826 4625280 4657400 4844160 4884528 4911440 5052960 5080800 5087808 5088050 5123140 5239575 5299800 5328576 5402584 5525370 5550600 5588880 5614400 5653120 5781600 5893728 5920640 6055200 6077907 6096960 6105660 6139300 6147768 6316200 6359760 6403925 6512704 6660720 6706656 6737280 6753230 6774400 6986100 7066400 7326792 7367160 7400800 7428553 7451840 7621200 7632075 7684710 7708800 7858304 7949700 8073600 8103876 8140880 8197024 8325900 8383320 8421600 8479680 8840592 8880960 8942208 9158490 9187200 9208950 9221652 9314800 9769056 9822880 10105920 10129845 10161600 10175616 10176100 10246280 10479150 10599600 10657152 10805168 11050740 11101200 11177760 11228800 11527065 11563200 11787456 12110400 12155814 12193920 12211320 12278600 12295536 12632400 12719520 12807850 13025408 13321440 13413312 13506460 13813425 13972200 14132800 14653584 14734320 14801600 14857106 14903680 15242400 15264150 15369420 15899400 16207752 16281760 16394048 16651800 16766640 16843200 16883075 16959360 17681184 17761920 18316980 18417900 18443304 18629600 19211775 19538112 19645760 20211840 20259690 20323200 20352200 20492560 20958300 21199200 21610336 22101480 22202400 22285659 22355520 22896225 23054130 23126400 23574912 24220800 24311628 24422640 24557200 24591072 25264800 25439040 25615700 26642880 26826624 27012920 27626850 27944400 28265600 29307168 29468640 29603200 29714212 30389535 30484800 30528300 30738840 31798800 32415504 32563520 32788096 33303600 33533280 33686400 33766150 35362368 36633960 36835800 36886608 37142765 37259200 38423550 39076224 39291520 40519380 40704400 40985120 41916600 42398400 43220672 44202960 44404800 44571318 44711040 45792450 46108260 48623256 48845280 49114400 49182144 50529600 50649225 50878080 51231400 53285760 54025840 55253700 55888800 57635325 58614336 58937280 59428424 60779070 60969600 61056600 61477680 63597600 64831008 65127040 66607200 66856977 67066560 67532300 70724736 73267920 73671600 73773216 74285530 74518400 76847100 81038760 81408800 81970240 83833200 84796800 86441344 88405920 88809600 89142636 91584900 92216520 97246512 97690560 98228800 98364288 101059200 101298450 102462800 108051680 110507400 111428295 111777600 115270650 117228672 117874560 118856848 121558140 122113200 122955360 127195200 129662016 133214400 133713954 134133120 135064600 146535840 147343200 147546432 148571060 151947675 153694200 162077520 162817600 163940480 167666400 176811840 178285272 183169800 184433040 185713825 194493024 195381120 196457600 202596900 204925600 216103360 221014800 222856590 223555200 230541300 237713696 243116280 244226400 245910720 254390400 259324032 266428800 267427908 270129200 293071680 294686400 295092864 297142120 303895350 307388400 324155040 325635200 334284885 335332800 353623680 356570544 366339600 368866080 371427650 388986048 405193800 409851200 432206720 442029600 445713180 461082600 475427392 486232560 488452800 491821440 534855816 540258400 557141475 586143360 589372800 594284240 607790700 614776800 648310080 668569770 670665600 713141088 732679200 737732160 742855300 777972096 810387600 819702400 884059200 891426360 922165200 950854784 972465120 976905600 1069711632 1080516800 1114282950 1188568480 1215581400 1229553600 1296620160 1337139540 1426282176 1465358400 1475464320 1485710600 1620775200 1671424425 1768118400 1782852720 1844330400 1944930240 2139423264 2161033600 2228565900 2377136960 2431162800 2459107200 2674279080 2852564352 2930716800 2971421200 3241550400 3342848850 3565705440 3688660800 3889860480 4278846528 4457131800 4754273920 4862325600 5348558160 5942842400 6483100800 6685697700 7131410880 7377321600 8557693056 8914263600 9724651200 10697116320 11885684800 13371395400 14262821760 17828527200 19449302400 21394232640 23771369600 26742790800 35657054400 42788465280 53485581600 71314108800 106971163200 213942326400
- Sum of all divisors σ(n): 880940836230
- Sum of proper divisors (its aliquot sum) s(n): 666998509830
- 213942326400 is an abundant number, because the sum of its proper divisors (666998509830) is greater than itself. Its abundance is 453056183430
Bases of 213942326400
- Binary: 110001110011111111010011010100100000002
- Hexadecimal: 0x31CFF4D480
- Base-36: 2QA7QJK0
Squares and roots of 213942326400
- 213942326400 squared (2139423264002) is 45771319025444136960000
- 213942326400 cubed (2139423264003) is 9792422474700099454462623744000000
-
The
square root of 213942326400 is 462538.9998692003 -
The
cube root of 213942326400 is 5980.8866445937
Scales and comparisons
How big is 213942326400?- 213,942,326,400 seconds is equal to 6,802 years, 36 weeks, 4 days, 8 hours.
-
To count from 1 to 213,942,326,400 would take you about thirteen thousand, six hundred five 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 213942326400 cubic inches would be around 498.4 feet tall.
Recreational maths with 213942326400
- 213942326400 backwards is 004623249312
- 213942326400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 213942326400's digits is 36
- More coming soon!
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The information we have on file for 213942326400 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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