148462968
148,462,968 is an even composite number composed of five prime numbers multiplied together.
What does the number 148462968 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 96 divisors.
148462968 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of ninety-six divisors.
Prime factorization of 148462968:
23 × 3 × 312 × 41 × 157
(2 × 2 × 2 × 3 × 31 × 31 × 41 × 157)See below for interesting mathematical facts about the number 148462968 from the Numbermatics database.
Names of 148462968
- Cardinal: 148462968 can be written as One hundred forty-eight million, four hundred sixty-two thousand, nine hundred sixty-eight.
Scientific notation
- Scientific notation: 1.48462968 × 108
Factors of 148462968
Divisors of 148462968
- Number of divisors d(n): 96
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Complete list of divisors:
1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 157 164 186 246 248 314 328 372 471 492 628 744 942 961 984 1256 1271 1884 1922 2542 2883 3768 3813 3844 4867 5084 5766 6437 7626 7688 9734 10168 11532 12874 14601 15252 19311 19468 23064 25748 29202 30504 38622 38936 39401 51496 58404 77244 78802 116808 118203 150877 154488 157604 199547 236406 301754 315208 399094 452631 472812 598641 603508 798188 905262 945624 1197282 1207016 1596376 1810524 2394564 3621048 4789128 6185957 12371914 18557871 24743828 37115742 49487656 74231484 148462968
- Sum of all divisors σ(n): 395372880
- Sum of proper divisors (its aliquot sum) s(n): 246909912
- 148462968 is an abundant number, because the sum of its proper divisors (246909912) is greater than itself. Its abundance is 98446944
Bases of 148462968
- Binary: 10001101100101011101011110002
- Hexadecimal: 0x8D95D78
- Base-36: 2GE2RC
Squares and roots of 148462968
- 148462968 squared (1484629682) is 22041252867369024
- 148462968 cubed (1484629683) is 3272309819128115654303232
-
The
square root of 148462968 is 12184.5380708503 -
The
cube root of 148462968 is 529.5082278315
Scales and comparisons
How big is 148462968?- 148,462,968 seconds is equal to 4 years, 37 weeks, 3 days, 7 hours, 42 minutes, 48 seconds.
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To count from 1 to 148,462,968 would take you about seven 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 148462968 cubic inches would be around 44.1 feet tall.
Recreational maths with 148462968
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The information we have on file for 148462968 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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