842400104
842,400,104 is an even composite number composed of five prime numbers multiplied together.
842400104 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 842400104:
23 × 7 × 133 × 41 × 167
(2 × 2 × 2 × 7 × 13 × 13 × 13 × 41 × 167)See below for interesting mathematical facts about the number 842400104 from the Numbermatics database.
Names of 842400104
- Cardinal: 842400104 can be written as Eight hundred forty-two million, four hundred thousand, one hundred four.
Scientific notation
- Scientific notation: 8.42400104 × 108
Factors of 842400104
Divisors of 842400104
- Number of divisors d(n): 128
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Complete list of divisors:
1 2 4 7 8 13 14 26 28 41 52 56 82 91 104 164 167 169 182 287 328 334 338 364 533 574 668 676 728 1066 1148 1169 1183 1336 1352 2132 2171 2197 2296 2338 2366 3731 4264 4342 4394 4676 4732 6847 6929 7462 8684 8788 9352 9464 13694 13858 14924 15197 15379 17368 17576 27388 27716 28223 29848 30394 30758 47929 48503 54776 55432 56446 60788 61516 89011 90077 95858 97006 112892 121576 123032 178022 180154 191716 194012 197561 225784 356044 360308 366899 383432 388024 395122 623077 630539 712088 720616 733798 790244 1157143 1246154 1261078 1467596 1580488 2314286 2492308 2522156 2568293 2935192 4628572 4984616 5044312 5136586 8100001 9257144 10273172 15042859 16200002 20546344 30085718 32400004 60171436 64800008 105300013 120342872 210600026 421200052 842400104
- Sum of all divisors σ(n): 2015193600
- Sum of proper divisors (its aliquot sum) s(n): 1172793496
- 842400104 is an abundant number, because the sum of its proper divisors (1172793496) is greater than itself. Its abundance is 330393392
Bases of 842400104
- Binary: 1100100011011000000001011010002
- Hexadecimal: 0x32360168
- Base-36: DXJK2W
Squares and roots of 842400104
- 842400104 squared (8424001042) is 709637935219210816
- 842400104 cubed (8424001043) is 597799070431008454196324864
-
The
square root of 842400104 is 29024.1296854875 -
The
cube root of 842400104 is 944.4365888447
Scales and comparisons
How big is 842400104?- 842,400,104 seconds is equal to 26 years, 40 weeks, 6 days, 1 minute, 44 seconds.
-
To count from 1 to 842,400,104 would take you about forty 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 842400104 cubic inches would be around 78.7 feet tall.
Recreational maths with 842400104
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