345212006400
345,212,006,400 is an even composite number composed of five prime numbers multiplied together.
345212006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred sixty-eight divisors.
Prime factorization of 345212006400:
212 × 32 × 52 × 83 × 4513
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 83 × 4513)See below for interesting mathematical facts about the number 345212006400 from the Numbermatics database.
Names of 345212006400
- Cardinal: 345212006400 can be written as Three hundred forty-five billion, two hundred twelve million, six thousand, four hundred.
Scientific notation
- Scientific notation: 3.452120064 × 1011
Factors of 345212006400
Divisors of 345212006400
- Number of divisors d(n): 468
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 83 90 96 100 120 128 144 150 160 166 180 192 200 225 240 249 256 288 300 320 332 360 384 400 415 450 480 498 512 576 600 640 664 720 747 768 800 830 900 960 996 1024 1152 1200 1245 1280 1328 1440 1494 1536 1600 1660 1800 1920 1992 2048 2075 2304 2400 2490 2560 2656 2880 2988 3072 3200 3320 3600 3735 3840 3984 4096 4150 4513 4608 4800 4980 5120 5312 5760 5976 6144 6225 6400 6640 7200 7470 7680 7968 8300 9026 9216 9600 9960 10240 10624 11520 11952 12288 12450 12800 13280 13539 14400 14940 15360 15936 16600 18052 18432 18675 19200 19920 20480 21248 22565 23040 23904 24900 25600 26560 27078 28800 29880 30720 31872 33200 36104 36864 37350 38400 39840 40617 42496 45130 46080 47808 49800 51200 53120 54156 57600 59760 61440 63744 66400 67695 72208 74700 76800 79680 81234 84992 90260 92160 95616 99600 102400 106240 108312 112825 115200 119520 127488 132800 135390 144416 149400 153600 159360 162468 169984 180520 184320 191232 199200 203085 212480 216624 225650 230400 239040 254976 265600 270780 288832 298800 307200 318720 324936 338475 339968 361040 374579 382464 398400 406170 424960 433248 451300 460800 478080 509952 531200 541560 577664 597600 637440 649872 676950 722080 749158 764928 796800 812340 849920 866496 902600 921600 956160 1015425 1019904 1062400 1083120 1123737 1155328 1195200 1274880 1299744 1353900 1444160 1498316 1529856 1593600 1624680 1699840 1732992 1805200 1872895 1912320 2030850 2124800 2166240 2247474 2310656 2390400 2549760 2599488 2707800 2888320 2996632 3059712 3187200 3249360 3371211 3465984 3610400 3745790 3824640 4061700 4249600 4332480 4494948 4621312 4780800 5099520 5198976 5415600 5618685 5776640 5993264 6374400 6498720 6742422 6931968 7220800 7491580 7649280 8123400 8499200 8664960 8989896 9242624 9364475 9561600 10397952 10831200 11237370 11553280 11986528 12748800 12997440 13484844 13863936 14441600 14983160 15298560 16246800 16856055 17329920 17979792 18485248 18728950 19123200 20795904 21662400 22474740 23106560 23973056 25497600 25994880 26969688 27727872 28093425 28883200 29966320 32493600 33712110 34659840 35959584 37457900 38246400 41591808 43324800 44949480 46213120 47946112 51989760 53939376 55455744 56186850 57766400 59932640 64987200 67424220 69319680 71919168 74915800 76492800 83183616 84280275 86649600 89898960 92426240 95892224 103979520 107878752 112373700 115532800 119865280 129974400 134848440 138639360 143838336 149831600 166367232 168560550 173299200 179797920 191784448 207959040 215757504 224747400 231065600 239730560 259948800 269696880 277278720 287676672 299663200 337121100 346598400 359595840 383568896 415918080 431515008 449494800 462131200 479461120 519897600 539393760 575353344 599326400 674242200 693196800 719191680 767137792 831836160 863030016 898989600 958922240 1039795200 1078787520 1150706688 1198652800 1348484400 1386393600 1438383360 1534275584 1726060032 1797979200 1917844480 2079590400 2157575040 2301413376 2397305600 2696968800 2876766720 3452120064 3595958400 3835688960 4159180800 4315150080 4602826752 4794611200 5393937600 5753533440 6904240128 7191916800 7671377920 8630300160 9589222400 10787875200 11507066880 13808480256 14383833600 17260600320 19178444800 21575750400 23014133760 28767667200 34521200640 38356889600 43151500800 57535334400 69042401280 86303001600 115070668800 172606003200 345212006400
- Sum of all divisors σ(n): 1251649738248
- Sum of proper divisors (its aliquot sum) s(n): 906437731848
- 345212006400 is an abundant number, because the sum of its proper divisors (906437731848) is greater than itself. Its abundance is 561225725448
Bases of 345212006400
- Binary: 1010000011000000011110100110000000000002
- Hexadecimal: 0x50603D3000
- Base-36: 4EL6BCW0
Squares and roots of 345212006400
- 345212006400 squared (3452120064002) is 119171329362713640960000
- 345212006400 cubed (3452120064003) is 41139373714657609344450822144000000
-
The
square root of 345212006400 is 587547.4503391195 -
The
cube root of 345212006400 is 7015.0154305329
Scales and comparisons
How big is 345212006400?- 345,212,006,400 seconds is equal to 10,976 years, 35 weeks, 8 hours.
-
To count from 1 to 345,212,006,400 would take you about twenty-one thousand, nine hundred fifty-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 345212006400 cubic inches would be around 584.6 feet tall.
Recreational maths with 345212006400
- 345212006400 backwards is 004600212543
- The number of decimal digits it has is: 12
- The sum of 345212006400's digits is 27
- More coming soon!
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