230829206400
230,829,206,400 is an even composite number composed of seven prime numbers multiplied together.
230829206400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand, one hundred fifty-two divisors.
Prime factorization of 230829206400:
27 × 32 × 52 × 13 × 19 × 37 × 877
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 13 × 19 × 37 × 877)See below for interesting mathematical facts about the number 230829206400 from the Numbermatics database.
Names of 230829206400
- Cardinal: 230829206400 can be written as Two hundred thirty billion, eight hundred twenty-nine million, two hundred six thousand, four hundred.
Scientific notation
- Scientific notation: 2.308292064 × 1011
Factors of 230829206400
Divisors of 230829206400
- Number of divisors d(n): 1152
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 19 20 24 25 26 30 32 36 37 38 39 40 45 48 50 52 57 60 64 65 72 74 75 76 78 80 90 95 96 100 104 111 114 117 120 128 130 144 148 150 152 156 160 171 180 185 190 192 195 200 208 222 225 228 234 240 247 260 285 288 296 300 304 312 320 325 333 342 360 370 380 384 390 400 416 444 450 456 468 475 480 481 494 520 555 570 576 585 592 600 608 624 640 650 666 684 703 720 740 741 760 780 800 832 855 877 888 900 912 925 936 950 960 962 975 988 1040 1110 1140 1152 1170 1184 1200 1216 1235 1248 1300 1332 1368 1406 1425 1440 1443 1480 1482 1520 1560 1600 1664 1665 1710 1754 1776 1800 1824 1850 1872 1900 1920 1924 1950 1976 2080 2109 2220 2223 2280 2340 2368 2400 2405 2432 2470 2496 2600 2631 2664 2736 2775 2812 2850 2880 2886 2925 2960 2964 3040 3120 3200 3330 3420 3508 3515 3552 3600 3648 3700 3705 3744 3800 3848 3900 3952 4160 4218 4275 4329 4385 4440 4446 4560 4680 4736 4800 4810 4940 4992 5200 5262 5328 5472 5550 5624 5700 5760 5772 5850 5920 5928 6080 6175 6240 6327 6660 6840 7016 7030 7104 7200 7215 7296 7400 7410 7488 7600 7696 7800 7893 7904 8320 8325 8436 8550 8658 8770 8880 8892 9120 9139 9360 9600 9620 9880 10400 10524 10545 10656 10944 11100 11115 11248 11400 11401 11544 11700 11840 11856 12025 12160 12350 12480 12654 13155 13320 13680 14032 14060 14208 14400 14430 14800 14820 14976 15200 15392 15600 15786 15808 16650 16663 16872 17100 17316 17540 17575 17760 17784 18240 18278 18525 18720 19240 19760 20800 21048 21090 21312 21645 21888 21925 22200 22230 22496 22800 22802 23088 23400 23680 23712 24050 24700 24960 25308 26310 26640 27360 27417 28064 28120 28800 28860 29600 29640 30400 30784 31200 31572 31616 31635 32449 33300 33326 33744 34200 34203 34632 35080 35150 35520 35568 36075 36480 36556 37050 37440 38480 39465 39520 41600 42096 42180 42624 43290 43850 44400 44460 44992 45600 45604 45695 46176 46800 47424 48100 49400 49989 50616 52620 52725 53280 54720 54834 55575 56128 56240 57005 57720 59200 59280 60800 61568 62400 63144 63270 64898 65775 66600 66652 67488 68400 68406 69264 70160 70300 71040 71136 72150 73112 74100 74880 76960 78930 79040 82251 83315 84192 84360 86580 87700 88800 88920 89984 91200 91208 91390 92352 93600 94848 96200 97347 98800 99978 101232 102609 105240 105450 106560 108225 109440 109668 111150 112256 112480 114010 115440 118400 118560 124800 126288 126540 129796 131550 133200 133304 134976 136800 136812 137085 138528 140320 140600 142272 144300 146224 148200 149967 153920 157860 158080 158175 162245 164502 166630 168384 168720 171015 173160 175400 177600 177840 182400 182416 182780 184704 187200 192400 194694 197325 197600 199956 202464 205218 210480 210900 213120 216450 216619 219336 222300 224960 228020 228475 230880 237120 249945 252576 253080 259592 263100 266400 266608 269952 273600 273624 274170 277056 280640 281200 284544 285025 288600 292041 292448 296400 299934 307840 315720 316350 324490 329004 333260 336768 337440 342030 346320 350800 355200 355680 364832 365560 374400 384800 389388 394650 395200 399912 404928 410436 411255 416575 420960 421800 421837 432900 433238 438672 444600 449920 456040 456950 461760 474240 486735 499890 505152 506160 513045 519184 526200 532800 533216 547200 547248 548340 554112 561280 562400 570050 577200 584082 584896 592800 599868 616531 631440 632700 648980 649857 658008 666520 674880 684060 685425 692640 701600 711360 729664 731120 749835 769600 778776 789300 790400 799824 809856 811225 820872 822510 833150 841920 843600 843674 855075 865800 866476 877344 889200 912080 913900 923520 973470 999780 1010304 1012320 1026090 1038368 1052400 1065600 1066432 1083095 1094496 1096680 1124800 1140100 1154400 1168164 1169792 1185600 1199736 1233062 1249725 1262880 1265400 1265511 1297960 1299714 1316016 1333040 1349760 1368120 1370850 1385280 1403200 1422720 1459328 1460205 1462240 1499670 1539200 1557552 1578600 1599648 1622450 1641744 1645020 1666300 1683840 1687200 1687348 1710150 1731600 1732952 1754688 1778400 1824160 1827800 1849593 1946940 1949571 1999560 2024640 2052180 2056275 2076736 2104800 2109185 2132864 2166190 2188992 2193360 2249600 2280200 2308800 2336328 2371200 2399472 2433675 2466124 2499450 2525760 2530800 2531022 2565225 2595920 2599428 2632032 2666080 2736240 2741700 2770560 2806400 2920410 2924480 2999340 3082655 3115104 3157200 3199296 3244900 3249285 3283488 3290040 3332600 3374400 3374696 3420300 3463200 3465904 3509376 3556800 3648320 3655600 3699186 3749175 3796533 3893880 3899142 3999120 4049280 4104360 4112550 4153472 4209600 4218370 4332380 4377984 4386720 4560400 4617600 4672656 4798944 4867350 4932248 4998900 5051520 5061600 5062044 5130450 5191840 5198856 5264064 5332160 5415475 5472480 5483400 5548779 5840820 5848960 5998680 6165310 6230208 6314400 6327555 6398592 6489800 6498570 6566976 6580080 6665200 6748800 6749392 6840600 6926400 6931808 7113600 7296640 7301025 7311200 7398372 7498350 7593066 7787760 7798284 7998240 8014903 8208720 8225100 8419200 8436740 8664760 8773440 9120800 9247965 9345312 9597888 9734700 9747855 9864496 9997800 10123200 10124088 10260900 10383680 10397712 10528128 10545925 10664320 10830950 10944960 10966800 11097558 11681640 11997360 12330620 12460416 12628800 12655110 12979600 12997140 13133952 13160160 13330400 13498784 13681200 13852800 13863616 14602050 14622400 14796744 14996700 15186132 15413275 15575520 15596568 15996480 16029806 16246425 16417440 16450200 16873480 17329520 17546880 18241600 18495930 18690624 18982665 19195776 19469400 19495710 19728992 19995600 20246400 20248176 20521800 20767360 20795424 21091850 21661900 21889920 21933600 22195116 23363280 23994720 24044709 24661240 25257600 25310220 25959200 25994280 26320320 26660800 26997568 27362400 27727232 27743895 29204100 29244800 29593488 29993400 30372264 30826550 31151040 31193136 31637775 31992960 32059612 32492850 32834880 32900400 33746960 34659040 36483200 36991860 37381248 37965330 38938800 38991420 39457984 39991200 40074515 40496352 41043600 41590848 42183700 43323800 43867200 44390232 46239825 46726560 47989440 48089418 48739275 49322480 50620440 51918400 51988560 52640640 53321600 53995136 54724800 55487790 58408200 59186976 59986800 60744528 61653100 62302080 62386272 63275550 64119224 64985700 65669760 65800800 67493920 69318080 72134127 73983720 75930660 77877600 77982840 78915968 79982400 80149030 80992704 82087200 83181696 84367400 86647600 87734400 88780464 92479650 93453120 94913325 95978880 96178836 97478550 98644960 101240880 103836800 103977120 109449600 110975580 116816400 118373952 119973600 120223545 121489056 123306200 124772544 126551100 128238448 129971400 131601600 134987840 138636160 138719475 144268254 147967440 151861320 155755200 155965680 159964800 160298060 161985408 164174400 168734800 173295200 177560928 184959300 186906240 189826650 192357672 194957100 197289920 200372575 202481760 207954240 221951160 233632800 236747904 239947200 240447090 242978112 246612400 249545088 253102200 256476896 259942800 263203200 269975680 277438950 288536508 295934880 303722640 311510400 311931360 320596120 328348800 337469600 346590400 355121856 360670635 369918600 379653300 384715344 389914200 394579840 400745150 404963520 415908480 443902320 467265600 479894400 480894180 485956224 493224800 506204400 512953792 519885600 554877900 577073016 591869760 601117725 607445280 623862720 641192240 674939200 693180800 710243712 721341270 739837200 759306600 769430688 779828400 801490300 809927040 887804640 934531200 961788360 986449600 1012408800 1025907584 1039771200 1109755800 1154146032 1183739520 1202235450 1214890560 1247725440 1282384480 1349878400 1442682540 1479674400 1518613200 1538861376 1559656800 1602980600 1775609280 1803353175 1923576720 1972899200 2024817600 2079542400 2219511600 2308292064 2404470900 2429781120 2564768960 2885365080 2959348800 3037226400 3077722752 3119313600 3205961200 3551218560 3606706350 3847153440 4049635200 4439023200 4616584128 4808941800 5129537920 5770730160 5918697600 6074452800 6238627200 6411922400 7213412700 7694306880 8878046400 9233168256 9617883600 11541460320 12148905600 12823844800 14426825400 15388613760 17756092800 19235767200 23082920640 25647689600 28853650800 38471534400 46165841280 57707301600 76943068800 115414603200 230829206400
- Sum of all divisors σ(n): 960022408800
- Sum of proper divisors (its aliquot sum) s(n): 729193202400
- 230829206400 is an abundant number, because the sum of its proper divisors (729193202400) is greater than itself. Its abundance is 498363996000
Bases of 230829206400
- Binary: 110101101111100111111000101011100000002
- Hexadecimal: 0x35BE7E2B80
- Base-36: 2Y1HQZK0
Squares and roots of 230829206400
- 230829206400 squared (2308292064002) is 53282122527253800960000
- 230829206400 cubed (2308292064003) is 12299070058273557246980358144000000
-
The
square root of 230829206400 is 480446.8819755207 -
The
cube root of 230829206400 is 6134.2798675701
Scales and comparisons
How big is 230829206400?- 230,829,206,400 seconds is equal to 7,339 years, 34 weeks, 8 hours.
-
To count from 1 to 230,829,206,400 would take you about fourteen thousand, six hundred seventy-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 230829206400 cubic inches would be around 511.2 feet tall.
Recreational maths with 230829206400
- 230829206400 backwards is 004602928032
- 230829206400 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 230829206400's digits is 36
- More coming soon!
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The information we have on file for 230829206400 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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