42814148650624000
42,814,148,650,624,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 42814148650624000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2112 divisors.
42814148650624000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 42814148650624000:
210 × 53 × 133 × 413 × 472
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 41 × 41 × 41 × 47 × 47)See below for interesting mathematical facts about the number 42814148650624000 from the Numbermatics database.
Names of 42814148650624000
- Cardinal: 42814148650624000 can be written as Forty-two quadrillion, eight hundred fourteen trillion, one hundred forty-eight billion, six hundred fifty million, six hundred twenty-four thousand.
Scientific notation
- Scientific notation: 4.2814148650624 × 1016
Factors of 42814148650624000
Divisors of 42814148650624000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 41 47 50 52 64 65 80 82 94 100 104 125 128 130 160 164 169 188 200 205 208 235 250 256 260 320 325 328 338 376 400 410 416 470 500 512 520 533 611 640 650 656 676 752 800 820 832 845 940 1000 1024 1025 1040 1066 1175 1222 1280 1300 1312 1352 1504 1600 1625 1640 1664 1681 1690 1880 1927 2000 2050 2080 2132 2197 2209 2350 2444 2560 2600 2624 2665 2704 3008 3055 3200 3250 3280 3328 3362 3380 3760 3854 4000 4100 4160 4225 4264 4394 4418 4700 4888 5120 5125 5200 5248 5330 5408 5875 6016 6110 6400 6500 6560 6656 6724 6760 6929 7520 7708 7943 8000 8200 8320 8405 8450 8528 8788 8836 9400 9635 9776 10250 10400 10496 10660 10816 10985 11045 11750 12032 12220 12800 13000 13120 13312 13325 13448 13520 13858 15040 15275 15416 15886 16000 16400 16640 16810 16900 17056 17576 17672 18800 19270 19552 20500 20800 20992 21125 21320 21632 21853 21970 22090 23500 24064 24440 25051 25600 26000 26240 26650 26896 27040 27716 28717 30080 30550 30832 31772 32000 32800 33280 33620 33800 34112 34645 35152 35344 37600 38540 39104 39715 41000 41600 41984 42025 42250 42640 43264 43706 43940 44180 47000 48128 48175 48880 50102 52000 52480 53300 53792 54080 54925 55225 55432 57434 60160 61100 61664 63544 64000 65600 66560 66625 67240 67600 68224 68921 69290 70304 70688 75200 76375 77080 78208 79007 79430 82000 83200 84050 84500 85280 86528 87412 87880 88360 90077 90569 94000 96350 97760 100204 103259 104000 104960 106600 107584 108160 109265 109850 110450 110864 114868 120320 122200 123328 125255 127088 128000 131200 133250 134480 135200 136448 137842 138580 140608 141376 143585 150400 152750 154160 156416 158014 158860 164000 166400 168100 169000 170560 173056 173225 174824 175760 176720 180154 181138 188000 192700 195520 198575 200408 206518 208000 209920 210125 213200 215168 216320 218530 219700 220900 221728 229736 240640 240875 244400 246656 250510 254176 262400 266500 268960 270400 272896 274625 275684 276125 277160 281216 282752 284089 287170 300800 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83621384083250 85628297301248 91093933299200 102918626564000 104424752806400 107035371626560 113867416624000 126669078848000 130530941008000 131735842001920 133794214533200 164669802502400 167242768166500 171256594602496 182187866598400 205837253128000 208849505612800 214070743253120 227734833248000 253338157696000 261061882016000 267588429066400 329339605004800 334485536333000 342513189204992 411674506256000 428141486506240 455469666496000 522123764032000 535176858132800 658679210009600 668971072666000 823349012512000 856282973012480 910939332992000 1044247528064000 1070353716265600 1337942145332000 1646698025024000 1712565946024960 2140707432531200 2675884290664000 3293396050048000 4281414865062400 5351768581328000 8562829730124800 10703537162656000 21407074325312000 42814148650624000
- Sum of all divisors σ(n): 121178686026041280
- Sum of proper divisors (its aliquot sum) s(n): 78364537375417280
- 42814148650624000 is an abundant number, because the sum of its proper divisors (78364537375417280) is greater than itself. Its abundance is 35550388724793280
Bases of 42814148650624000
- Binary: 100110000001101100111101110010011010111001100100000000002
- Hexadecimal: 0x981B3DC9AE6400
- Base-36: BPKCKD20S1S
Squares and roots of 42814148650624000
- 42814148650624000 squared (428141486506240002) is 1833051324677728880015589376000000
- 42814148650624000 cubed (428141486506240003) is 78480531898975521639984360682554470170624000000000
-
The
square root of 42814148650624000 is 206915800.8722968455 -
The
cube root of 42814148650624000 is 349834.3396997781
Scales and comparisons
How big is 42814148650624000?- 42,814,148,650,624,000 seconds is equal to 1,361,357,494 years, 12 weeks, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 42,814,148,650,624,000 would take you about four billion, eighty-four million, seventy-two thousand, four hundred eighty-two 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 42814148650624000 cubic inches would be around 29152.9 feet tall.
Recreational maths with 42814148650624000
- 42814148650624000 backwards is 00042605684141824
- The number of decimal digits it has is: 17
- The sum of 42814148650624000's digits is 55
- More coming soon!
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The information we have on file for 42814148650624000 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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