122128416
122,128,416 is an even composite number composed of five prime numbers multiplied together.
122128416 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 122128416:
25 × 32 × 37 × 73 × 157
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 37 × 73 × 157)See below for interesting mathematical facts about the number 122128416 from the Numbermatics database.
Names of 122128416
- Cardinal: 122128416 can be written as One hundred twenty-two million, one hundred twenty-eight thousand, four hundred sixteen.
Scientific notation
- Scientific notation: 1.22128416 × 108
Factors of 122128416
Divisors of 122128416
- Number of divisors d(n): 144
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 73 74 96 111 144 146 148 157 219 222 288 292 296 314 333 438 444 471 584 592 628 657 666 876 888 942 1168 1184 1256 1314 1332 1413 1752 1776 1884 2336 2512 2628 2664 2701 2826 3504 3552 3768 5024 5256 5328 5402 5652 5809 7008 7536 8103 10512 10656 10804 11304 11461 11618 15072 16206 17427 21024 21608 22608 22922 23236 24309 32412 34383 34854 43216 45216 45844 46472 48618 52281 64824 68766 69708 86432 91688 92944 97236 103149 104562 129648 137532 139416 183376 185888 194472 206298 209124 259296 275064 278832 366752 388944 412596 418248 424057 550128 557664 777888 825192 836496 848114 1100256 1272171 1650384 1672992 1696228 2544342 3300768 3392456 3816513 5088684 6784912 7633026 10177368 13569824 15266052 20354736 30532104 40709472 61064208 122128416
- Sum of all divisors σ(n): 363878424
- Sum of proper divisors (its aliquot sum) s(n): 241750008
- 122128416 is an abundant number, because the sum of its proper divisors (241750008) is greater than itself. Its abundance is 119621592
Bases of 122128416
- Binary: 1110100011110001000001000002
- Hexadecimal: 0x7478820
- Base-36: 20PMW0
Squares and roots of 122128416
- 122128416 squared (1221284162) is 14915349994669056
- 122128416 cubed (1221284163) is 1821588068934540253495296
-
The
square root of 122128416 is 11051.1726074657 -
The
cube root of 122128416 is 496.1415222245
Scales and comparisons
How big is 122128416?- 122,128,416 seconds is equal to 3 years, 45 weeks, 6 days, 12 hours, 33 minutes, 36 seconds.
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To count from 1 to 122,128,416 would take you about five 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 122128416 cubic inches would be around 41.3 feet tall.
Recreational maths with 122128416
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