130797216
130,797,216 is an even composite number composed of six prime numbers multiplied together.
130797216 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 130797216:
25 × 32 × 11 × 19 × 41 × 53
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 11 × 19 × 41 × 53)See below for interesting mathematical facts about the number 130797216 from the Numbermatics database.
Names of 130797216
- Cardinal: 130797216 can be written as One hundred thirty million, seven hundred ninety-seven thousand, two hundred sixteen.
Scientific notation
- Scientific notation: 1.30797216 × 108
Factors of 130797216
Divisors of 130797216
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 19 22 24 32 33 36 38 41 44 48 53 57 66 72 76 82 88 96 99 106 114 123 132 144 152 159 164 171 176 198 209 212 228 246 264 288 304 318 328 342 352 369 396 418 424 451 456 477 492 528 583 608 627 636 656 684 738 779 792 836 848 902 912 954 984 1007 1056 1166 1254 1272 1312 1353 1368 1476 1558 1584 1672 1696 1749 1804 1824 1881 1908 1968 2014 2173 2332 2337 2508 2544 2706 2736 2952 3021 3116 3168 3344 3498 3608 3762 3816 3936 4028 4059 4346 4664 4674 5016 5088 5247 5412 5472 5904 6042 6232 6519 6688 6996 7011 7216 7524 7632 8056 8118 8569 8692 9063 9328 9348 10032 10494 10824 11077 11808 12084 12464 13038 13992 14022 14432 15048 15264 16112 16236 17138 17384 18126 18656 18696 19557 20064 20988 21648 22154 23903 24168 24928 25707 26076 27984 28044 30096 32224 32472 33231 34276 34768 36252 37392 39114 41287 41976 43296 44308 47806 48336 51414 52152 55968 56088 60192 64944 66462 68552 69536 71709 72504 74784 77121 78228 82574 83952 88616 95612 96672 99693 102828 104304 112176 123861 129888 132924 137104 143418 145008 154242 156456 165148 167904 177232 191224 199386 205656 208608 215127 224352 247722 265848 274208 286836 290016 308484 312912 330296 354464 371583 382448 398772 411312 430254 454157 495444 531696 573672 616968 625824 660592 743166 764896 797544 822624 860508 908314 990888 1063392 1147344 1233936 1321184 1362471 1486332 1595088 1721016 1816628 1981776 2294688 2467872 2724942 2972664 3190176 3442032 3633256 3963552 4087413 5449884 5945328 6884064 7266512 8174826 10899768 11890656 14533024 16349652 21799536 32699304 43599072 65398608 130797216
- Sum of all divisors σ(n): 445798080
- Sum of proper divisors (its aliquot sum) s(n): 315000864
- 130797216 is an abundant number, because the sum of its proper divisors (315000864) is greater than itself. Its abundance is 184203648
Bases of 130797216
- Binary: 1111100101111001110101000002
- Hexadecimal: 0x7CBCEA0
- Base-36: 25VFS0
Squares and roots of 130797216
- 130797216 squared (1307972162) is 17107911713350656
- 130797216 cubed (1307972163) is 2237667223680055836573696
-
The
square root of 130797216 is 11436.6610511985 -
The
cube root of 130797216 is 507.6131139877
Scales and comparisons
How big is 130797216?- 130,797,216 seconds is equal to 4 years, 8 weeks, 1 day, 20 hours, 33 minutes, 36 seconds.
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To count from 1 to 130,797,216 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 130797216 cubic inches would be around 42.3 feet tall.
Recreational maths with 130797216
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