381421248
381,421,248 is an even composite number composed of six prime numbers multiplied together.
381421248 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 381421248:
26 × 3 × 13 × 17 × 89 × 101
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 13 × 17 × 89 × 101)See below for interesting mathematical facts about the number 381421248 from the Numbermatics database.
Names of 381421248
- Cardinal: 381421248 can be written as Three hundred eighty-one million, four hundred twenty-one thousand, two hundred forty-eight.
Scientific notation
- Scientific notation: 3.81421248 × 108
Factors of 381421248
Divisors of 381421248
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 89 96 101 102 104 136 156 178 192 202 204 208 221 267 272 303 312 356 404 408 416 442 534 544 606 624 663 712 808 816 832 884 1068 1088 1157 1212 1248 1313 1326 1424 1513 1616 1632 1717 1768 2136 2314 2424 2496 2626 2652 2848 3026 3232 3264 3434 3471 3536 3939 4272 4539 4628 4848 5151 5252 5304 5696 6052 6464 6868 6942 7072 7878 8544 8989 9078 9256 9696 10302 10504 10608 12104 13736 13884 14144 15756 17088 17978 18156 18512 19392 19669 20604 21008 21216 22321 24208 26967 27472 27768 31512 35956 36312 37024 39338 41208 42016 42432 44642 48416 53934 54944 55536 59007 63024 66963 71912 72624 74048 78676 82416 84032 89284 96832 107868 109888 111072 116857 118014 126048 133926 143824 145248 152813 157352 164832 178568 215736 222144 233714 236028 252096 267852 287648 290496 305626 314704 329664 350571 357136 431472 458439 467428 472056 535704 575296 611252 629408 701142 714272 862944 916878 934856 944112 1071408 1222504 1258816 1402284 1428544 1725888 1833756 1869712 1888224 1986569 2142816 2445008 2804568 3667512 3739424 3776448 3973138 4285632 4890016 5609136 5959707 7335024 7478848 7946276 9780032 11218272 11919414 14670048 15892552 22436544 23838828 29340096 31785104 47677656 63570208 95355312 127140416 190710624 381421248
- Sum of all divisors σ(n): 1175186880
- Sum of proper divisors (its aliquot sum) s(n): 793765632
- 381421248 is an abundant number, because the sum of its proper divisors (793765632) is greater than itself. Its abundance is 412344384
Bases of 381421248
- Binary: 101101011110000000110110000002
- Hexadecimal: 0x16BC06C0
- Base-36: 6B36IO
Squares and roots of 381421248
- 381421248 squared (3814212482) is 145482168425877504
- 381421248 cubed (3814212483) is 55489990242744393070804992
-
The
square root of 381421248 is 19530.0089093681 -
The
cube root of 381421248 is 725.2175315537
Scales and comparisons
How big is 381421248?- 381,421,248 seconds is equal to 12 years, 6 weeks, 4 days, 14 hours, 20 minutes, 48 seconds.
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To count from 1 to 381,421,248 would take you about eighteen 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 381421248 cubic inches would be around 60.4 feet tall.
Recreational maths with 381421248
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