122508984
122,508,984 is an even composite number composed of six prime numbers multiplied together.
122508984 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred twenty-eight divisors.
Prime factorization of 122508984:
23 × 3 × 13 × 41 × 61 × 157
(2 × 2 × 2 × 3 × 13 × 41 × 61 × 157)See below for interesting mathematical facts about the number 122508984 from the Numbermatics database.
Names of 122508984
- Cardinal: 122508984 can be written as One hundred twenty-two million, five hundred eight thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.22508984 × 108
Factors of 122508984
Divisors of 122508984
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 12 13 24 26 39 41 52 61 78 82 104 122 123 156 157 164 183 244 246 312 314 328 366 471 488 492 533 628 732 793 942 984 1066 1256 1464 1586 1599 1884 2041 2132 2379 2501 3172 3198 3768 4082 4264 4758 5002 6123 6344 6396 6437 7503 8164 9516 9577 10004 12246 12792 12874 15006 16328 19032 19154 19311 20008 24492 25748 28731 30012 32513 38308 38622 48984 51496 57462 60024 65026 76616 77244 83681 97539 114924 124501 130052 154488 167362 195078 229848 249002 251043 260104 334724 373503 390156 392657 498004 502086 669448 747006 780312 785314 996008 1004172 1177971 1494012 1570628 2008344 2355942 2988024 3141256 4711884 5104541 9423768 10209082 15313623 20418164 30627246 40836328 61254492 122508984
- Sum of all divisors σ(n): 345602880
- Sum of proper divisors (its aliquot sum) s(n): 223093896
- 122508984 is an abundant number, because the sum of its proper divisors (223093896) is greater than itself. Its abundance is 100584912
Bases of 122508984
- Binary: 1110100110101010110101110002
- Hexadecimal: 0x74D56B8
- Base-36: 20XSJC
Squares and roots of 122508984
- 122508984 squared (1225089842) is 15008451160712256
- 122508984 cubed (1225089843) is 1838670103112479198907904
-
The
square root of 122508984 is 11068.3776588983 -
The
cube root of 122508984 is 496.6563349853
Scales and comparisons
How big is 122508984?- 122,508,984 seconds is equal to 3 years, 46 weeks, 3 days, 22 hours, 16 minutes, 24 seconds.
-
To count from 1 to 122,508,984 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 122508984 cubic inches would be around 41.4 feet tall.
Recreational maths with 122508984
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