13842124800
13,842,124,800 is an even composite number composed of six prime numbers multiplied together.
13842124800 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of six hundred twenty-four divisors.
Prime factorization of 13842124800:
212 × 3 × 52 × 7 × 41 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 41 × 157)See below for interesting mathematical facts about the number 13842124800 from the Numbermatics database.
Names of 13842124800
- Cardinal: 13842124800 can be written as Thirteen billion, eight hundred forty-two million, one hundred twenty-four thousand, eight hundred.
Scientific notation
- Scientific notation: 1.38421248 × 1010
Factors of 13842124800
Divisors of 13842124800
- Number of divisors d(n): 624
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 41 42 48 50 56 60 64 70 75 80 82 84 96 100 105 112 120 123 128 140 150 157 160 164 168 175 192 200 205 210 224 240 246 256 280 287 300 314 320 328 336 350 384 400 410 420 448 471 480 492 512 525 560 574 600 615 628 640 656 672 700 768 785 800 820 840 861 896 942 960 984 1024 1025 1050 1099 1120 1148 1200 1230 1256 1280 1312 1344 1400 1435 1536 1570 1600 1640 1680 1722 1792 1884 1920 1968 2048 2050 2100 2198 2240 2296 2355 2400 2460 2512 2560 2624 2688 2800 2870 3072 3075 3140 3200 3280 3297 3360 3444 3584 3768 3840 3925 3936 4096 4100 4200 4305 4396 4480 4592 4710 4800 4920 5024 5120 5248 5376 5495 5600 5740 6144 6150 6280 6400 6437 6560 6594 6720 6888 7168 7175 7536 7680 7850 7872 8200 8400 8610 8792 8960 9184 9420 9600 9840 10048 10240 10496 10752 10990 11200 11480 11775 12288 12300 12560 12800 12874 13120 13188 13440 13776 14336 14350 15072 15360 15700 15744 16400 16485 16800 17220 17584 17920 18368 18840 19200 19311 19680 20096 20480 20992 21504 21525 21980 22400 22960 23550 24600 25120 25600 25748 26240 26376 26880 27475 27552 28672 28700 30144 30720 31400 31488 32185 32800 32970 33600 34440 35168 35840 36736 37680 38400 38622 39360 40192 41984 43008 43050 43960 44800 45059 45920 47100 49200 50240 51200 51496 52480 52752 53760 54950 55104 57400 60288 61440 62800 62976 64370 65600 65940 67200 68880 70336 71680 73472 75360 76800 77244 78720 80384 82425 83968 86016 86100 87920 89600 90118 91840 94200 96555 98400 100480 102400 102992 104960 105504 107520 109900 110208 114800 120576 125600 125952 128740 131200 131880 134400 135177 137760 140672 143360 146944 150720 153600 154488 157440 160768 160925 164850 167936 172200 175840 179200 180236 183680 188400 193110 196800 200960 205984 209920 211008 215040 219800 220416 225295 229600 241152 251200 251904 257480 262400 263760 268800 270354 275520 281344 293888 301440 307200 308976 314880 321536 321850 329700 344400 351680 358400 360472 367360 376800 386220 393600 401920 411968 419840 422016 430080 439600 440832 450590 459200 482304 482775 502400 503808 514960 524800 527520 537600 540708 551040 562688 587776 602880 617952 629760 643072 643700 659400 675885 688800 703360 716800 720944 734720 753600 772440 787200 803840 823936 839680 844032 879200 881664 901180 918400 964608 965550 1004800 1029920 1049600 1055040 1075200 1081416 1102080 1125376 1126475 1175552 1205760 1235904 1259520 1287400 1318800 1351770 1377600 1406720 1441888 1469440 1507200 1544880 1574400 1607680 1647872 1688064 1758400 1763328 1802360 1836800 1929216 1931100 2009600 2059840 2099200 2110080 2150400 2162832 2204160 2250752 2252950 2411520 2471808 2519040 2574800 2637600 2703540 2755200 2813440 2883776 2938880 3014400 3089760 3148800 3215360 3295744 3376128 3379425 3516800 3526656 3604720 3673600 3862200 4019200 4119680 4198400 4220160 4325664 4408320 4501504 4505900 4823040 4943616 5149600 5275200 5407080 5510400 5626880 5767552 5877760 6028800 6179520 6297600 6591488 6752256 6758850 7033600 7209440 7347200 7724400 8038400 8239360 8440320 8651328 8816640 9011800 9646080 9887232 10299200 10550400 10814160 11020800 11253760 11535104 12057600 12359040 12595200 13182976 13504512 13517700 14067200 14418880 14694400 15448800 16076800 16478720 16880640 17302656 17633280 18023600 19774464 20598400 21100800 21628320 22041600 22507520 23070208 24115200 24718080 26365952 27035400 28134400 28837760 29388800 30897600 32957440 33761280 34605312 36047200 39548928 41196800 42201600 43256640 44083200 46140416 48230400 49436160 54070800 56268800 57675520 61795200 65914880 67522560 69210624 72094400 79097856 82393600 84403200 86513280 88166400 92280832 98872320 108141600 112537600 115351040 123590400 131829760 138421248 144188800 164787200 168806400 173026560 184561664 197744640 216283200 230702080 247180800 276842496 288377600 329574400 337612800 346053120 395489280 432566400 461404160 494361600 553684992 576755200 659148800 692106240 865132800 922808320 988723200 1153510400 1384212480 1730265600 1977446400 2307020800 2768424960 3460531200 4614041600 6921062400 13842124800
- Sum of all divisors σ(n): 53920632192
- Sum of proper divisors (its aliquot sum) s(n): 40078507392
- 13842124800 is an abundant number, because the sum of its proper divisors (40078507392) is greater than itself. Its abundance is 26236382592
Bases of 13842124800
- Binary: 11001110010000111000010000000000002
- Hexadecimal: 0x3390E1000
- Base-36: 6CX8RUO
Squares and roots of 13842124800
- 13842124800 squared (138421248002) is 191604418978775040000
- 13842124800 cubed (138421248003) is 2652212279735692654804992000000
-
The
square root of 13842124800 is 117652.5596831621 -
The
cube root of 13842124800 is 2401.0484308193
Scales and comparisons
How big is 13842124800?- 13,842,124,800 seconds is equal to 440 years, 7 weeks, 18 hours, 40 minutes.
-
To count from 1 to 13,842,124,800 would take you about eight hundred eighty 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 13842124800 cubic inches would be around 200.1 feet tall.
Recreational maths with 13842124800
- 13842124800 backwards is 00842124831
- The number of decimal digits it has is: 11
- The sum of 13842124800's digits is 33
- More coming soon!
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