144648984
144,648,984 is an even composite number composed of six prime numbers multiplied together.
144648984 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 144648984:
23 × 3 × 29 × 37 × 41 × 137
(2 × 2 × 2 × 3 × 29 × 37 × 41 × 137)See below for interesting mathematical facts about the number 144648984 from the Numbermatics database.
Names of 144648984
- Cardinal: 144648984 can be written as One hundred forty-four million, six hundred forty-eight thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.44648984 × 108
Factors of 144648984
Divisors of 144648984
- Number of divisors d(n): 128
-
Complete list of divisors:
1 2 3 4 6 8 12 24 29 37 41 58 74 82 87 111 116 123 137 148 164 174 222 232 246 274 296 328 348 411 444 492 548 696 822 888 984 1073 1096 1189 1517 1644 2146 2378 3034 3219 3288 3567 3973 4292 4551 4756 5069 5617 6068 6438 7134 7946 8584 9102 9512 10138 11234 11919 12136 12876 14268 15207 15892 16851 18204 20276 22468 23838 25752 28536 30414 31784 33702 36408 40552 43993 44936 47676 60828 67404 87986 95352 121656 131979 134808 147001 162893 175972 207829 263958 294002 325786 351944 415658 441003 488679 527916 588004 623487 651572 831316 882006 977358 1055832 1176008 1246974 1303144 1662632 1764012 1954716 2493948 3528024 3909432 4987896 6027041 12054082 18081123 24108164 36162246 48216328 72324492 144648984
- Sum of all divisors σ(n): 396446400
- Sum of proper divisors (its aliquot sum) s(n): 251797416
- 144648984 is an abundant number, because the sum of its proper divisors (251797416) is greater than itself. Its abundance is 107148432
Bases of 144648984
- Binary: 10001001111100101011000110002
- Hexadecimal: 0x89F2B18
- Base-36: 2E4BVC
Squares and roots of 144648984
- 144648984 squared (1446489842) is 20923328572232256
- 144648984 cubed (1446489843) is 3026538219871566442427904
-
The
square root of 144648984 is 12027.0106011427 -
The
cube root of 144648984 is 524.9345151883
Scales and comparisons
How big is 144648984?- 144,648,984 seconds is equal to 4 years, 31 weeks, 1 day, 4 hours, 16 minutes, 24 seconds.
-
To count from 1 to 144,648,984 would take you about six 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 144648984 cubic inches would be around 43.7 feet tall.
Recreational maths with 144648984
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