130978848
130,978,848 is an even composite number composed of seven prime numbers multiplied together.
130978848 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 130978848:
25 × 3 × 7 × 11 × 13 × 29 × 47
(2 × 2 × 2 × 2 × 2 × 3 × 7 × 11 × 13 × 29 × 47)See below for interesting mathematical facts about the number 130978848 from the Numbermatics database.
Names of 130978848
- Cardinal: 130978848 can be written as One hundred thirty million, nine hundred seventy-eight thousand, eight hundred forty-eight.
Scientific notation
- Scientific notation: 1.30978848 × 108
Factors of 130978848
Divisors of 130978848
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 29 32 33 39 42 44 47 48 52 56 58 66 77 78 84 87 88 91 94 96 104 112 116 132 141 143 154 156 168 174 176 182 188 203 208 224 231 232 264 273 282 286 308 312 319 329 336 348 352 364 376 377 406 416 429 462 464 517 528 546 564 572 609 611 616 624 638 658 672 696 728 752 754 812 858 924 928 957 987 1001 1034 1056 1092 1128 1131 1144 1218 1222 1232 1248 1276 1316 1363 1392 1456 1504 1508 1551 1624 1716 1833 1848 1914 1974 2002 2068 2184 2233 2256 2262 2288 2436 2444 2464 2552 2632 2639 2726 2784 2912 3003 3016 3102 3248 3432 3619 3666 3696 3828 3948 4004 4089 4136 4147 4277 4368 4466 4512 4524 4576 4872 4888 5104 5264 5278 5452 6006 6032 6204 6496 6699 6721 6864 7238 7332 7392 7656 7896 7917 8008 8178 8272 8294 8554 8736 8932 9048 9541 9744 9776 10208 10528 10556 10857 10904 12012 12064 12408 12441 12831 13398 13442 13728 14476 14664 14993 15312 15792 15834 16016 16356 16544 16588 17108 17719 17864 18096 19082 19488 19552 20163 21112 21714 21808 24024 24816 24882 25662 26796 26884 28623 28952 29029 29328 29986 30624 31584 31668 32032 32712 33176 34216 35438 35728 36192 38164 40326 42224 43428 43616 44979 47047 48048 49632 49764 51324 53157 53592 53768 57246 57904 58058 58656 59972 63336 65424 66352 68432 70876 71456 76328 80652 84448 86856 87087 89958 94094 96096 99528 102648 104951 106314 107184 107536 114492 115808 116116 119944 124033 126672 130848 132704 136864 141141 141752 152656 161304 173712 174174 179916 188188 194909 199056 205296 209902 212628 214368 215072 228984 232232 239888 248066 253344 282282 283504 305312 314853 322608 347424 348348 359832 372099 376376 389818 398112 410592 419804 425256 457968 464464 479776 496132 564564 567008 584727 629706 645216 696696 719664 744198 752752 779636 839608 850512 915936 928928 992264 1129128 1169454 1259412 1364363 1393392 1439328 1488396 1505504 1559272 1679216 1701024 1984528 2258256 2338908 2518824 2728726 2786784 2976792 3118544 3358432 3969056 4093089 4516512 4677816 5037648 5457452 5953584 6237088 8186178 9355632 10075296 10914904 11907168 16372356 18711264 21829808 32744712 43659616 65489424 130978848
- Sum of all divisors σ(n): 487710720
- Sum of proper divisors (its aliquot sum) s(n): 356731872
- 130978848 is an abundant number, because the sum of its proper divisors (356731872) is greater than itself. Its abundance is 225753024
Bases of 130978848
- Binary: 1111100111010010100001000002
- Hexadecimal: 0x7CE9420
- Base-36: 25ZBXC
Squares and roots of 130978848
- 130978848 squared (1309788482) is 17155458623407104
- 130978848 cubed (1309788483) is 2247002207405528316936192
-
The
square root of 130978848 is 11444.5990755467 -
The
cube root of 130978848 is 507.8479715367
Scales and comparisons
How big is 130978848?- 130,978,848 seconds is equal to 4 years, 8 weeks, 3 days, 23 hours, 48 seconds.
-
To count from 1 to 130,978,848 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 130978848 cubic inches would be around 42.3 feet tall.
Recreational maths with 130978848
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