71248128
71,248,128 is an even composite number composed of five prime numbers multiplied together.
71248128 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred forty-four divisors.
Prime factorization of 71248128:
28 × 3 × 7 × 29 × 457
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 29 × 457)See below for interesting mathematical facts about the number 71248128 from the Numbermatics database.
Names of 71248128
- Cardinal: 71248128 can be written as Seventy-one million, two hundred forty-eight thousand, one hundred twenty-eight.
Scientific notation
- Scientific notation: 7.1248128 × 107
Factors of 71248128
Divisors of 71248128
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 64 84 87 96 112 116 128 168 174 192 203 224 232 256 336 348 384 406 448 457 464 609 672 696 768 812 896 914 928 1218 1344 1371 1392 1624 1792 1828 1856 2436 2688 2742 2784 3199 3248 3656 3712 4872 5376 5484 5568 6398 6496 7312 7424 9597 9744 10968 11136 12796 12992 13253 14624 19194 19488 21936 22272 25592 25984 26506 29248 38388 38976 39759 43872 51184 51968 53012 58496 76776 77952 79518 87744 92771 102368 106024 116992 153552 155904 159036 175488 185542 204736 212048 278313 307104 318072 350976 371084 409472 424096 556626 614208 636144 742168 818944 848192 1113252 1228416 1272288 1484336 1696384 2226504 2456832 2544576 2968672 3392768 4453008 5089152 5937344 8906016 10178304 11874688 17812032 23749376 35624064 71248128
- Sum of all divisors σ(n): 224676480
- Sum of proper divisors (its aliquot sum) s(n): 153428352
- 71248128 is an abundant number, because the sum of its proper divisors (153428352) is greater than itself. Its abundance is 82180224
Bases of 71248128
- Binary: 1000011111100101001000000002
- Hexadecimal: 0x43F2900
- Base-36: 16F3EO
Squares and roots of 71248128
- 71248128 squared (712481282) is 5076295743504384
- 71248128 cubed (712481283) is 361676568899055519793152
-
The
square root of 71248128 is 8440.8606196287 -
The
cube root of 71248128 is 414.5635863247
Scales and comparisons
How big is 71248128?- 71,248,128 seconds is equal to 2 years, 13 weeks, 5 days, 15 hours, 8 minutes, 48 seconds.
-
To count from 1 to 71,248,128 would take you about three 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 71248128 cubic inches would be around 34.5 feet tall.
Recreational maths with 71248128
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