428129728400000
428,129,728,400,000 is an even composite number composed of six prime numbers multiplied together.
428129728400000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, seven hundred twenty-eight divisors.
Prime factorization of 428129728400000:
27 × 55 × 11 × 19 × 312 × 732
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 11 × 19 × 31 × 31 × 73 × 73)See below for interesting mathematical facts about the number 428129728400000 from the Numbermatics database.
Names of 428129728400000
- Cardinal: 428129728400000 can be written as Four hundred twenty-eight trillion, one hundred twenty-nine billion, seven hundred twenty-eight million, four hundred thousand.
Scientific notation
- Scientific notation: 4.281297284 × 1014
Factors of 428129728400000
Divisors of 428129728400000
- Number of divisors d(n): 1728
-
Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 25 31 32 38 40 44 50 55 62 64 73 76 80 88 95 100 110 124 125 128 146 152 155 160 176 190 200 209 220 248 250 275 292 304 310 320 341 352 365 380 400 418 440 475 496 500 550 584 589 608 620 625 640 682 704 730 760 775 800 803 836 880 950 961 992 1000 1045 1100 1168 1178 1216 1240 1250 1364 1375 1387 1408 1460 1520 1550 1600 1606 1672 1705 1760 1825 1900 1922 1984 2000 2090 2200 2263 2336 2356 2375 2432 2480 2500 2728 2750 2774 2920 2945 3040 3100 3125 3200 3212 3344 3410 3520 3650 3800 3844 3875 3968 4000 4015 4180 4400 4526 4672 4712 4750 4805 4960 5000 5225 5329 5456 5500 5548 5840 5890 6080 6200 6250 6424 6479 6688 6820 6875 6935 7040 7300 7600 7688 7750 8000 8030 8360 8525 8800 9052 9125 9344 9424 9500 9610 9920 10000 10450 10571 10658 10912 11000 11096 11315 11680 11780 11875 12160 12400 12500 12848 12958 13376 13640 13750 13870 14600 14725 15200 15257 15376 15500 16000 16060 16720 17050 17600 18104 18250 18259 18848 19000 19220 19375 19840 20000 20075 20900 21142 21316 21824 22000 22192 22630 23360 23560 23750 24025 24800 24893 25000 25696 25916 26125 26645 26752 27280 27500 27740 29200 29450 30400 30514 30752 31000 32120 32395 33440 34100 34375 34675 35200 36208 36500 36518 37696 38000 38440 38750 40000 40150 41800 42284 42625 42632 42997 43648 44000 44384 45260 45625 46720 47120 47500 48050 49600 49786 50000 51392 51832 52250 52855 53290 54560 55000 55480 56575 58400 58619 58900 59375 60800 61028 61504 62000 64240 64790 66880 68200 68750 69350 70153 72416 73000 73036 73625 75392 76000 76285 76880 77500 80000 80300 83600 84568 85250 85264 85994 88000 88768 90520 91250 91295 94240 95000 96100 96875 99200 99572 100000 100375 101251 102784 103664 104500 105710 106580 109120 110000 110960 113150 116800 117238 117800 118750 120125 122056 123008 124000 124465 128480 129580 130625 133225 133760 136400 137500 138700 140306 144832 146000 146072 147250 152000 152570 153760 155000 160600 161975 165199 167200 169136 170500 170528 171988 173375 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267581080250 276212728000 281664295000 293239540000 304069409375 308673200000 311367075200 313878100000 342503782720 345265910000 352080368750 363437800000 366549425000 389208844000 409693520000 428129728400 431582387500 445504400000 450662872000 486511055000 512116900000 533162800000 535162160500 552425456000 563328590000 586479080000 608138818750 627756200000 668952700625 685007565440 690531820000 704160737500 726875600000 733098850000 778417688000 856259456800 863164775000 901325744000 973022110000 1024233800000 1070324321000 1126657180000 1172958160000 1216277637500 1255512400000 1337905401250 1381063640000 1408321475000 1466197700000 1556835376000 1712518913600 1726329550000 1946044220000 2048467600000 2140648642000 2253314360000 2432555275000 2675810802500 2762127280000 2816642950000 2932395400000 3344763503125 3425037827200 3452659100000 3892088440000 4281297284000 4506628720000 4865110550000 5351621605000 5633285900000 5864790800000 6689527006250 6905318200000 7784176880000 8562594568000 9730221100000 10703243210000 11266571800000 13379054012500 13810636400000 17125189136000 19460442200000 21406486420000 22533143600000 26758108025000 38920884400000 42812972840000 53516216050000 85625945680000 107032432100000 214064864200000 428129728400000
- Sum of all divisors σ(n): 1282531017448800
- Sum of proper divisors (its aliquot sum) s(n): 854401289048800
- 428129728400000 is an abundant number, because the sum of its proper divisors (854401289048800) is greater than itself. Its abundance is 426271560648800
Bases of 428129728400000
- Binary: 11000010101100001101110000110000100001010100000002
- Hexadecimal: 0x18561B8610A80
- Base-36: 47RC2YB2BK
Squares and roots of 428129728400000
- 428129728400000 squared (4281297284000002) is 183295064339857766560000000000
- 428129728400000 cubed (4281297284000003) is 78474066112883830891963402304000000000000000
-
The
square root of 428129728400000 is 20691295.9574793187 -
The
cube root of 428129728400000 is 75368.8337539793
Scales and comparisons
How big is 428129728400000?- 428,129,728,400,000 seconds is equal to 13,613,201 years, 3 weeks, 4 days, 19 hours, 33 minutes, 20 seconds.
-
To count from 1 to 428,129,728,400,000 would take you about thirty-four million, thirty-three thousand and 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 428129728400000 cubic inches would be around 6280.7 feet tall.
Recreational maths with 428129728400000
- 428129728400000 backwards is 000004827921824
- The number of decimal digits it has is: 15
- The sum of 428129728400000's digits is 47
- More coming soon!
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The information we have on file for 428129728400000 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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