101006400
101,006,400 is an even composite number composed of five prime numbers multiplied together.
101006400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 101006400:
26 × 3 × 52 × 11 × 1913
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 11 × 1913)See below for interesting mathematical facts about the number 101006400 from the Numbermatics database.
Names of 101006400
- Cardinal: 101006400 can be written as One hundred one million, six thousand, four hundred.
Scientific notation
- Scientific notation: 1.010064 × 108
Factors of 101006400
Divisors of 101006400
- Number of divisors d(n): 168
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 32 33 40 44 48 50 55 60 64 66 75 80 88 96 100 110 120 132 150 160 165 176 192 200 220 240 264 275 300 320 330 352 400 440 480 528 550 600 660 704 800 825 880 960 1056 1100 1200 1320 1600 1650 1760 1913 2112 2200 2400 2640 3300 3520 3826 4400 4800 5280 5739 6600 7652 8800 9565 10560 11478 13200 15304 17600 19130 21043 22956 26400 28695 30608 38260 42086 45912 47825 52800 57390 61216 63129 76520 84172 91824 95650 105215 114780 122432 126258 143475 153040 168344 183648 191300 210430 229560 252516 286950 306080 315645 336688 367296 382600 420860 459120 505032 526075 573900 612160 631290 673376 765200 841720 918240 1010064 1052150 1147800 1262580 1346752 1530400 1578225 1683440 1836480 2020128 2104300 2295600 2525160 3060800 3156450 3366880 4040256 4208600 4591200 5050320 6312900 6733760 8417200 9182400 10100640 12625800 16834400 20201280 25251600 33668800 50503200 101006400
- Sum of all divisors σ(n): 361700064
- Sum of proper divisors (its aliquot sum) s(n): 260693664
- 101006400 is an abundant number, because the sum of its proper divisors (260693664) is greater than itself. Its abundance is 159687264
Bases of 101006400
- Binary: 1100000010100111100010000002
- Hexadecimal: 0x6053C40
- Base-36: 1O4X1C
Squares and roots of 101006400
- 101006400 squared (1010064002) is 10202292840960000
- 101006400 cubed (1010064003) is 1030496871611142144000000
-
The
square root of 101006400 is 10050.1940279777 -
The
cube root of 101006400 is 465.7107871605
Scales and comparisons
How big is 101006400?- 101,006,400 seconds is equal to 3 years, 11 weeks, 1 hour, 20 minutes.
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To count from 1 to 101,006,400 would take you about 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 101006400 cubic inches would be around 38.8 feet tall.
Recreational maths with 101006400
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