1468009264128000
1,468,009,264,128,000 is an even composite number composed of six prime numbers multiplied together.
1468009264128000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, two hundred forty divisors.
Prime factorization of 1468009264128000:
213 × 3 × 53 × 114 × 127 × 257
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 127 × 257)See below for interesting mathematical facts about the number 1468009264128000 from the Numbermatics database.
Names of 1468009264128000
- Cardinal: 1468009264128000 can be written as One quadrillion, four hundred sixty-eight trillion, nine billion, two hundred sixty-four million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.468009264128 × 1015
Factors of 1468009264128000
Divisors of 1468009264128000
- Number of divisors d(n): 2240
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 121 125 127 128 132 150 160 165 176 192 200 220 240 242 250 254 256 257 264 275 300 320 330 352 363 375 381 384 400 440 480 484 500 508 512 514 528 550 600 605 635 640 660 704 726 750 762 768 771 800 825 880 960 968 1000 1016 1024 1028 1056 1100 1200 1210 1270 1280 1285 1320 1331 1375 1397 1408 1452 1500 1524 1536 1542 1600 1650 1760 1815 1905 1920 1936 2000 2032 2048 2056 2112 2200 2400 2420 2540 2560 2570 2640 2662 2750 2794 2816 2827 2904 3000 3025 3048 3072 3084 3175 3200 3300 3520 3630 3810 3840 3855 3872 3993 4000 4064 4096 4112 4125 4191 4224 4400 4800 4840 5080 5120 5140 5280 5324 5500 5588 5632 5654 5808 6000 6050 6096 6144 6168 6350 6400 6425 6600 6655 6985 7040 7260 7620 7680 7710 7744 7986 8000 8128 8192 8224 8250 8382 8448 8481 8800 9075 9525 9600 9680 10160 10240 10280 10560 10648 11000 11176 11264 11308 11616 12000 12100 12192 12288 12336 12700 12800 12850 13200 13310 13970 14080 14135 14520 14641 15125 15240 15360 15367 15420 15488 15875 15972 16000 16256 16448 16500 16764 16896 16962 17600 18150 19050 19200 19275 19360 19965 20320 20480 20560 20955 21120 21296 22000 22352 22528 22616 23232 24000 24200 24384 24576 24672 25400 25600 25700 26400 26620 27940 28160 28270 29040 29282 30250 30480 30720 30734 30840 30976 31097 31750 31944 32000 32125 32512 32639 32896 33000 33275 33528 33792 33924 34925 35200 36300 38100 38400 38550 38720 39930 40640 40960 41120 41910 42240 42405 42592 43923 44000 44704 45056 45232 45375 46101 46464 47625 48000 48400 48768 49344 50800 51200 51400 52800 53240 55880 56320 56540 58080 58564 60500 60960 61440 61468 61680 61952 62194 63500 63888 64000 64250 65024 65278 65792 66000 66550 67056 67584 67848 69850 70400 70675 72600 73205 76200 76800 76835 77100 77440 79860 81280 82240 83820 84480 84810 85184 87846 88000 89408 90112 90464 90750 92202 92928 93291 95250 96000 96375 96800 97536 97917 98688 99825 101600 102400 102800 104775 105600 106480 111760 112640 113080 116160 117128 121000 121920 122880 122936 123360 123904 124388 127000 127776 128000 128500 130048 130556 131584 132000 133100 134112 135168 135696 139700 140800 141350 145200 146410 152400 153600 153670 154200 154880 155485 159720 162560 163195 164480 166375 167640 168960 169037 169620 170368 174625 175692 176000 178816 180928 181500 184404 185856 186582 190500 192000 192750 193600 195072 195834 197376 199650 203200 204800 205600 209550 211200 212025 212960 219615 223520 225280 226160 230505 232320 234256 242000 243840 245872 246720 247808 248776 254000 255552 256000 257000 260096 261112 263168 264000 266200 268224 270336 271392 279400 281600 282700 290400 292820 304800 307200 307340 308400 309760 310970 319440 325120 326390 328960 332750 335280 337920 338074 339240 340736 342067 349250 351384 352000 353375 357632 359029 361856 363000 366025 368808 371712 373164 381000 384000 384175 385500 387200 390144 391668 394752 399300 406400 411200 419100 422400 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22937644752000 24466821068800 26691077529600 29360185282560 30583526336000 33363846912000 36700231603200 44485129216000 45875289504000 48933642137600 58720370565120 61167052672000 66727693824000 73400463206400 91750579008000 97867284275200 122334105344000 133455387648000 146800926412800 183501158016000 244668210688000 293601852825600 367002316032000 489336421376000 734004632064000 1468009264128000
- Sum of all divisors σ(n): 5437113834147840
- Sum of proper divisors (its aliquot sum) s(n): 3969104570019840
- 1468009264128000 is an abundant number, because the sum of its proper divisors (3969104570019840) is greater than itself. Its abundance is 2501095305891840
Bases of 1468009264128000
- Binary: 1010011011100100101100010101011011100100000000000002
- Hexadecimal: 0x537258AB72000
- Base-36: EGD658ZHMO
Squares and roots of 1468009264128000
- 1468009264128000 squared (14680092641280002) is 2155051199565632067600384000000
- 1468009264128000 cubed (14680092641280003) is 3163635125632507204797238866610225152000000000
-
The
square root of 1468009264128000 is 38314609.0170316105 -
The
cube root of 1468009264128000 is 113651.7861357277
Scales and comparisons
How big is 1468009264128000?- 1,468,009,264,128,000 seconds is equal to 46,678,153 years, 38 weeks, 6 days, 10 hours, 40 minutes.
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To count from 1 to 1,468,009,264,128,000 would take you about one hundred forty million, thirty-four thousand, four hundred sixty-one 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 1468009264128000 cubic inches would be around 9471 feet tall.
Recreational maths with 1468009264128000
- 1468009264128000 backwards is 0008214629008641
- The number of decimal digits it has is: 16
- The sum of 1468009264128000's digits is 51
- More coming soon!
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The information we have on file for 1468009264128000 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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