428065967680000
428,065,967,680,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 428065967680000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1800 divisors.
428065967680000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, eight hundred divisors.
Prime factorization of 428065967680000:
29 × 54 × 132 × 172 × 61 × 449
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 13 × 13 × 17 × 17 × 61 × 449)See below for interesting mathematical facts about the number 428065967680000 from the Numbermatics database.
Names of 428065967680000
- Cardinal: 428065967680000 can be written as Four hundred twenty-eight trillion, sixty-five billion, nine hundred sixty-seven million, six hundred eighty thousand.
Scientific notation
- Scientific notation: 4.2806596768 × 1014
Factors of 428065967680000
Divisors of 428065967680000
- Number of divisors d(n): 1800
-
Complete list of divisors:
1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 61 64 65 68 80 85 100 104 122 125 128 130 136 160 169 170 200 208 221 244 250 256 260 272 289 305 320 325 338 340 400 416 425 442 449 488 500 512 520 544 578 610 625 640 650 676 680 793 800 832 845 850 884 898 976 1000 1037 1040 1088 1105 1156 1220 1250 1280 1300 1352 1360 1445 1525 1586 1600 1625 1664 1690 1700 1768 1796 1952 2000 2074 2080 2125 2176 2210 2245 2312 2440 2500 2560 2600 2704 2720 2873 2890 3050 3172 3200 3250 3328 3380 3400 3536 3592 3757 3904 3965 4000 4148 4160 4225 4250 4352 4420 4490 4624 4880 5000 5185 5200 5408 5440 5525 5746 5780 5837 6100 6344 6400 6500 6656 6760 6800 7072 7184 7225 7514 7625 7633 7808 7930 8000 8125 8296 8320 8450 8500 8704 8840 8980 9248 9760 10000 10309 10370 10400 10625 10816 10880 11050 11225 11492 11560 11674 12200 12688 12800 13000 13481 13520 13600 14144 14365 14368 14450 15028 15250 15266 15616 15860 16000 16250 16592 16640 16900 17000 17629 17680 17960 18496 18785 19520 19825 20000 20618 20740 20800 21125 21250 21632 21760 22100 22450 22984 23120 23348 24400 25376 25925 26000 26962 27040 27200 27389 27625 28288 28730 28736 28900 29185 30056 30500 30532 31232 31720 32000 32500 33184 33280 33800 34000 35258 35360 35920 36125 36992 37570 38125 38165 39040 39650 40000 41236 41480 41600 42250 42500 43264 43520 44200 44900 45968 46240 46696 48800 48841 50752 51545 51850 52000 53924 54080 54400 54778 55250 56125 56576 57460 57472 57800 58370 60112 61000 61064 63440 64000 65000 66368 67405 67600 68000 70516 70720 71825 71840 72250 73984 75140 75881 76250 76330 78080 79300 80000 82472 82960 83200 84500 85000 86528 88145 88400 89800 91936 92480 93392 93925 97600 97682 99125 99229 101504 103090 103700 104000 105625 107848 108160 108800 109556 110500 112250 113152 114920 114944 115600 116740 120224 122000 122128 126880 129625 129761 130000 132736 134810 135200 136000 136945 138125 141032 141440 143650 143680 144500 145925 147968 150280 151762 152500 152660 156160 158600 160000 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629508776000 633233680000 658563027200 668853074500 684905548288 701747488000 740598560000 786885970000 823203784000 836066343125 856131935360 877184360000 953376320000 968475040000 1007214041600 1029004730000 1070164919200 1259017552000 1266467360000 1317126054400 1337706149000 1403494976000 1481197120000 1573771940000 1646407568000 1672132686250 1712263870720 1754368720000 1936950080000 2058009460000 2140329838400 2518035104000 2532934720000 2675412298000 3147543880000 3292815136000 3344265372500 3424527741440 3508737440000 4116018920000 4280659676800 5036070208000 5350824596000 6295087760000 6585630272000 6688530745000 7017474880000 8232037840000 8561319353600 10701649192000 12590175520000 13377061490000 16464075680000 17122638707200 21403298384000 25180351040000 26754122980000 32928151360000 42806596768000 53508245960000 85613193536000 107016491920000 214032983840000 428065967680000
- Sum of all divisors σ(n): 1252334474453700
- Sum of proper divisors (its aliquot sum) s(n): 824268506773700
- 428065967680000 is an abundant number, because the sum of its proper divisors (824268506773700) is greater than itself. Its abundance is 396202539093700
Bases of 428065967680000
- Binary: 11000010101010010110111111111000110101010000000002
- Hexadecimal: 0x18552DFF1AA00
- Base-36: 47QISGTJWG
Squares and roots of 428065967680000
- 428065967680000 squared (4280659676800002) is 183240472685814804582400000000
- 428065967680000 cubed (4280659676800003) is 78439010258393922932835154296832000000000000
-
The
square root of 428065967680000 is 20689755.1382320619 -
The
cube root of 428065967680000 is 75365.0920456693
Scales and comparisons
How big is 428065967680000?- 428,065,967,680,000 seconds is equal to 13,611,173 years, 35 weeks, 1 day, 12 hours, 26 minutes, 40 seconds.
-
To count from 1 to 428,065,967,680,000 would take you about thirty-four million, twenty-seven thousand, nine hundred thirty-four 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 428065967680000 cubic inches would be around 6280.4 feet tall.
Recreational maths with 428065967680000
- 428065967680000 backwards is 000086769560824
- 428065967680000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 428065967680000's digits is 61
- More coming soon!
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The information we have on file for 428065967680000 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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