242229440400
242,229,440,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 242229440400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 480 divisors.
242229440400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 242229440400:
24 × 3 × 52 × 23 × 43 × 53 × 3851
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 23 × 43 × 53 × 3851)See below for interesting mathematical facts about the number 242229440400 from the Numbermatics database.
Names of 242229440400
- Cardinal: 242229440400 can be written as Two hundred forty-two billion, two hundred twenty-nine million, four hundred forty thousand, four hundred.
Scientific notation
- Scientific notation: 2.422294404 × 1011
Factors of 242229440400
Divisors of 242229440400
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 43 46 48 50 53 60 69 75 80 86 92 100 106 115 120 129 138 150 159 172 184 200 212 215 230 240 258 265 276 300 318 344 345 368 400 424 430 460 516 530 552 575 600 636 645 688 690 795 848 860 920 989 1032 1060 1075 1104 1150 1200 1219 1272 1290 1325 1380 1590 1720 1725 1840 1978 2064 2120 2150 2279 2300 2438 2544 2580 2650 2760 2967 3180 3225 3440 3450 3657 3851 3956 3975 4240 4300 4558 4600 4876 4945 5160 5300 5520 5934 6095 6360 6450 6837 6900 7314 7702 7912 7950 8600 9116 9200 9752 9890 10320 10600 11395 11553 11868 12190 12720 12900 13674 13800 14628 14835 15404 15824 15900 17200 18232 18285 19255 19504 19780 21200 22790 23106 23736 24380 24725 25800 27348 27600 29256 29670 30475 30808 31800 34185 36464 36570 38510 39560 45580 46212 47472 48760 49450 51600 52417 54696 56975 57765 58512 59340 60950 61616 63600 68370 73140 74175 77020 79120 88573 91160 91425 92424 96275 97520 98900 104834 109392 113950 115530 118680 121900 136740 146280 148350 154040 157251 165593 170925 177146 182320 182850 184848 192550 197800 204103 209668 227900 231060 237360 243800 262085 265719 273480 288825 292560 296700 308080 314502 331186 341850 354292 365700 385100 395600 408206 419336 442865 455800 462120 487600 496779 524170 531438 546960 577650 593400 612309 629004 662372 683700 708584 731400 770200 786255 816412 827965 838672 885730 911600 924240 993558 1020515 1048340 1062876 1155300 1186800 1224618 1258008 1310425 1324744 1328595 1367400 1417168 1462800 1540400 1572510 1632824 1655930 1771460 1987116 2041030 2096680 2125752 2214325 2310600 2449236 2483895 2516016 2620850 2649488 2657190 2734800 3061545 3145020 3265648 3311860 3542920 3808639 3931275 3974232 4082060 4139825 4193360 4251504 4428650 4621200 4694369 4898472 4967790 5102575 5241700 5314380 6123090 6290040 6623720 6642975 7085840 7617278 7862550 7948464 8164120 8279650 8776429 8857300 9388738 9796944 9935580 10205150 10483400 10628760 11425917 12246180 12419475 12580080 13247440 13285950 14083107 15234556 15307725 15725100 16328240 16559300 17552858 17714600 18777476 19043195 19871160 20410300 20966800 21257520 22851834 23471845 24492360 24838950 26329287 26571900 28166214 30469112 30615450 31450200 33118600 35105716 35429200 37554952 38086390 39742320 40820600 43882145 45703668 46943690 48984720 49677900 52658574 53143800 56332428 57129585 60938224 61230900 62900400 66237200 70211432 70415535 75109904 76172780 81641200 87764290 91407336 93887380 95215975 99355800 105317148 106287600 112664856 114259170 117359225 122461800 131646435 140422864 140831070 152345560 175528580 182814672 187774760 190431950 198711600 201857867 210634296 219410725 225329712 228518340 234718450 244923600 263292870 281662140 285647925 304691120 351057160 352077675 375549520 380863900 403715734 421268592 438821450 457036680 469436900 526585740 563324280 571295850 605573601 658232175 702114320 704155350 761727800 807431468 877642900 914073360 938873800 1009289335 1053171480 1126648560 1142591700 1211147202 1316464350 1408310700 1523455600 1614862936 1755285800 1877747600 2018578670 2106342960 2285183400 2422294404 2632928700 2816621400 3027868005 3229725872 3510571600 4037157340 4570366800 4844588808 5046446675 5265857400 5633242800 6055736010 8074314680 9689177616 10092893350 10531714800 12111472020 15139340025 16148629360 20185786700 24222944040 30278680050 40371573400 48445888080 60557360100 80743146800 121114720200 242229440400
- Sum of all divisors σ(n): 844359386112
- Sum of proper divisors (its aliquot sum) s(n): 602129945712
- 242229440400 is an abundant number, because the sum of its proper divisors (602129945712) is greater than itself. Its abundance is 359900505312
Bases of 242229440400
- Binary: 111000011001011111111111101111100100002
- Hexadecimal: 0x3865FFEF90
- Base-36: 33A15KEO
Squares and roots of 242229440400
- 242229440400 squared (2422294404002) is 58675101796497152160000
- 242229440400 cubed (2422294404003) is 14212837073578539847910451264000000
-
The
square root of 242229440400 is 492168.1017701167 -
The
cube root of 242229440400 is 6233.6484825141
Scales and comparisons
How big is 242229440400?- 242,229,440,400 seconds is equal to 7,702 years, 7 weeks, 4 days, 11 hours, 40 minutes.
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To count from 1 to 242,229,440,400 would take you about fifteen thousand, four hundred four 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 242229440400 cubic inches would be around 519.5 feet tall.
Recreational maths with 242229440400
- 242229440400 backwards is 004044922242
- The number of decimal digits it has is: 12
- The sum of 242229440400's digits is 33
- More coming soon!
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