248325120
248,325,120 is an even composite number composed of five prime numbers multiplied together.
248325120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 248325120:
210 × 32 × 5 × 17 × 317
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 17 × 317)See below for interesting mathematical facts about the number 248325120 from the Numbermatics database.
Names of 248325120
- Cardinal: 248325120 can be written as Two hundred forty-eight million, three hundred twenty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.4832512 × 108
Factors of 248325120
Divisors of 248325120
- Number of divisors d(n): 264
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 64 68 72 80 85 90 96 102 120 128 136 144 153 160 170 180 192 204 240 255 256 272 288 306 317 320 340 360 384 408 480 510 512 544 576 612 634 640 680 720 765 768 816 951 960 1020 1024 1088 1152 1224 1268 1280 1360 1440 1530 1536 1585 1632 1902 1920 2040 2176 2304 2448 2536 2560 2720 2853 2880 3060 3072 3170 3264 3804 3840 4080 4352 4608 4755 4896 5072 5120 5389 5440 5706 5760 6120 6340 6528 7608 7680 8160 8704 9216 9510 9792 10144 10778 10880 11412 11520 12240 12680 13056 14265 15216 15360 16167 16320 17408 19020 19584 20288 21556 21760 22824 23040 24480 25360 26112 26945 28530 30432 32334 32640 38040 39168 40576 43112 43520 45648 46080 48501 48960 50720 52224 53890 57060 60864 64668 65280 76080 78336 80835 81152 86224 87040 91296 97002 97920 101440 107780 114120 121728 129336 130560 152160 156672 161670 162304 172448 182592 194004 195840 202880 215560 228240 242505 243456 258672 261120 304320 323340 324608 344896 365184 388008 391680 405760 431120 456480 485010 486912 517344 608640 646680 689792 730368 776016 783360 811520 862240 912960 970020 973824 1034688 1217280 1293360 1379584 1460736 1552032 1623040 1724480 1825920 1940040 2069376 2434560 2586720 2759168 2921472 3104064 3448960 3651840 3880080 4138752 4869120 5173440 5518336 6208128 6897920 7303680 7760160 8277504 10346880 12416256 13795840 14607360 15520320 16555008 20693760 24832512 27591680 31040640 41387520 49665024 62081280 82775040 124162560 248325120
- Sum of all divisors σ(n): 913928184
- Sum of proper divisors (its aliquot sum) s(n): 665603064
- 248325120 is an abundant number, because the sum of its proper divisors (665603064) is greater than itself. Its abundance is 417277944
Bases of 248325120
- Binary: 11101100110100100100000000002
- Hexadecimal: 0xECD2400
- Base-36: 43UGW0
Squares and roots of 248325120
- 248325120 squared (2483251202) is 61665365223014400
- 248325120 cubed (2483251203) is 15313059218848877641728000
-
The
square root of 248325120 is 15758.3349374227 -
The
cube root of 248325120 is 628.5505605035
Scales and comparisons
How big is 248325120?- 248,325,120 seconds is equal to 7 years, 46 weeks, 4 days, 3 hours, 12 minutes.
-
To count from 1 to 248,325,120 would take you about eleven 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 248325120 cubic inches would be around 52.4 feet tall.
Recreational maths with 248325120
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