230401248
230,401,248 is an even composite number composed of six prime numbers multiplied together.
230401248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 230401248:
25 × 3 × 7 × 11 × 71 × 439
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 71 × 439)See below for interesting mathematical facts about the number 230401248 from the Numbermatics database.
Names of 230401248
- Cardinal: 230401248 can be written as Two hundred thirty million, four hundred one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 2.30401248 × 108
Factors of 230401248
Divisors of 230401248
- Number of divisors d(n): 192
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Complete list of divisors:
1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 71 77 84 88 96 112 132 142 154 168 176 213 224 231 264 284 308 336 352 426 439 462 497 528 568 616 672 781 852 878 924 994 1056 1136 1232 1317 1491 1562 1704 1756 1848 1988 2272 2343 2464 2634 2982 3073 3124 3408 3512 3696 3976 4686 4829 5268 5467 5964 6146 6248 6816 7024 7392 7952 9219 9372 9658 10536 10934 11928 12292 12496 14048 14487 15904 16401 18438 18744 19316 21072 21868 23856 24584 24992 28974 31169 32802 33803 36876 37488 38632 42144 43736 47712 49168 57948 62338 65604 67606 73752 74976 77264 87472 93507 98336 101409 115896 124676 131208 135212 147504 154528 174944 187014 202818 218183 231792 249352 262416 270424 295008 342859 374028 405636 436366 463584 498704 524832 540848 654549 685718 748056 811272 872732 997408 1028577 1081696 1309098 1371436 1496112 1622544 1745464 2057154 2400013 2618196 2742872 2992224 3245088 3490928 4114308 4800026 5236392 5485744 6981856 7200039 8228616 9600052 10472784 10971488 14400078 16457232 19200104 20945568 28800156 32914464 38400208 57600312 76800416 115200624 230401248
- Sum of all divisors σ(n): 766402560
- Sum of proper divisors (its aliquot sum) s(n): 536001312
- 230401248 is an abundant number, because the sum of its proper divisors (536001312) is greater than itself. Its abundance is 305600064
Bases of 230401248
- Binary: 11011011101110100100111000002
- Hexadecimal: 0xDBBA4E0
- Base-36: 3T6AQO
Squares and roots of 230401248
- 230401248 squared (2304012482) is 53084735079957504
- 230401248 cubed (2304012483) is 12230789212171588708564992
-
The
square root of 230401248 is 15178.9738783621 -
The
cube root of 230401248 is 613.0486528043
Scales and comparisons
How big is 230401248?- 230,401,248 seconds is equal to 7 years, 16 weeks, 6 days, 16 hours, 20 minutes, 48 seconds.
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To count from 1 to 230,401,248 would take you about ten 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 230401248 cubic inches would be around 51.1 feet tall.
Recreational maths with 230401248
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