130627728
130,627,728 is an even composite number composed of five prime numbers multiplied together.
130627728 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred fifty divisors.
Prime factorization of 130627728:
24 × 34 × 72 × 112 × 17
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 7 × 7 × 11 × 11 × 17)See below for interesting mathematical facts about the number 130627728 from the Numbermatics database.
Names of 130627728
- Cardinal: 130627728 can be written as One hundred thirty million, six hundred twenty-seven thousand, seven hundred twenty-eight.
Scientific notation
- Scientific notation: 1.30627728 × 108
Factors of 130627728
Divisors of 130627728
- Number of divisors d(n): 450
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 24 27 28 33 34 36 42 44 48 49 51 54 56 63 66 68 72 77 81 84 88 98 99 102 108 112 119 121 126 132 136 144 147 153 154 162 168 176 187 189 196 198 204 216 231 238 242 252 264 272 294 297 306 308 324 336 357 363 374 378 392 396 408 432 441 459 462 476 484 504 528 539 561 567 588 594 612 616 648 693 714 726 748 756 784 792 816 833 847 882 891 918 924 952 968 1008 1071 1078 1089 1122 1134 1176 1188 1224 1232 1296 1309 1323 1377 1386 1428 1452 1496 1512 1584 1617 1666 1683 1694 1764 1782 1836 1848 1904 1936 2057 2079 2142 2156 2178 2244 2268 2352 2376 2448 2499 2541 2618 2646 2754 2772 2856 2904 2992 3024 3213 3234 3267 3332 3366 3388 3528 3564 3672 3696 3927 3969 4114 4158 4284 4312 4356 4488 4536 4752 4851 4998 5049 5082 5236 5292 5508 5544 5712 5808 5929 6171 6237 6426 6468 6534 6664 6732 6776 7056 7128 7344 7497 7623 7854 7938 8228 8316 8568 8624 8712 8976 9072 9163 9639 9702 9801 9996 10098 10164 10472 10584 11016 11088 11781 11858 12342 12474 12852 12936 13068 13328 13464 13552 14256 14399 14553 14994 15147 15246 15708 15876 16456 16632 17136 17424 17787 18326 18513 19278 19404 19602 19992 20196 20328 20944 21168 22032 22491 22869 23562 23716 24684 24948 25704 25872 26136 26928 27489 28798 29106 29988 30294 30492 31416 31752 32912 33264 35343 35574 36652 37026 38556 38808 39204 39984 40392 40656 43197 43659 44982 45738 47124 47432 49368 49896 51408 52272 53361 54978 55539 57596 58212 59976 60588 60984 62832 63504 67473 68607 70686 71148 73304 74052 77112 77616 78408 80784 82467 86394 87318 89964 91476 94248 94864 98736 99792 100793 106029 106722 109956 111078 115192 116424 119952 121176 121968 129591 134946 137214 141372 142296 146608 148104 154224 156816 160083 164934 166617 172788 174636 179928 182952 188496 201586 212058 213444 219912 222156 230384 232848 242352 247401 259182 269892 274428 282744 284592 296208 302379 320166 329868 333234 345576 349272 359856 365904 388773 403172 424116 426888 439824 444312 480249 494802 518364 539784 548856 565488 604758 640332 659736 666468 691152 698544 742203 777546 806344 848232 853776 888624 907137 960498 989604 1036728 1079568 1097712 1166319 1209516 1280664 1319472 1332936 1484406 1555092 1612688 1696464 1814274 1920996 1979208 2073456 2332638 2419032 2561328 2665872 2721411 2968812 3110184 3628548 3841992 3958416 4665276 4838064 5442822 5937624 6220368 7257096 7683984 8164233 9330552 10885644 11875248 14514192 16328466 18661104 21771288 32656932 43542576 65313864 130627728
- Sum of all divisors σ(n): 511853958
- Sum of proper divisors (its aliquot sum) s(n): 381226230
- 130627728 is an abundant number, because the sum of its proper divisors (381226230) is greater than itself. Its abundance is 250598502
Bases of 130627728
- Binary: 1111100100100111000100100002
- Hexadecimal: 0x7C93890
- Base-36: 25RT00
Squares and roots of 130627728
- 130627728 squared (1306277282) is 17063603322441984
- 130627728 cubed (1306277283) is 2228979733503847781732352
-
The
square root of 130627728 is 11429.2487942121 -
The
cube root of 130627728 is 507.3937629389
Scales and comparisons
How big is 130627728?- 130,627,728 seconds is equal to 4 years, 7 weeks, 6 days, 21 hours, 28 minutes, 48 seconds.
-
To count from 1 to 130,627,728 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 130627728 cubic inches would be around 42.3 feet tall.
Recreational maths with 130627728
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