130912320
130,912,320 is an even composite number composed of six prime numbers multiplied together.
130912320 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 130912320:
26 × 3 × 5 × 72 × 112 × 23
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 7 × 11 × 11 × 23)See below for interesting mathematical facts about the number 130912320 from the Numbermatics database.
Names of 130912320
- Cardinal: 130912320 can be written as One hundred thirty million, nine hundred twelve thousand, three hundred twenty.
Scientific notation
- Scientific notation: 1.3091232 × 108
Factors of 130912320
Divisors of 130912320
- Number of divisors d(n): 504
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 23 24 28 30 32 33 35 40 42 44 46 48 49 55 56 60 64 66 69 70 77 80 84 88 92 96 98 105 110 112 115 120 121 132 138 140 147 154 160 161 165 168 176 184 192 196 210 220 224 230 231 240 242 245 253 264 276 280 294 308 320 322 330 336 345 352 363 368 385 392 420 440 448 460 462 480 483 484 490 506 528 539 552 560 588 605 616 644 660 672 690 704 726 735 736 759 770 784 805 840 847 880 920 924 960 966 968 980 1012 1056 1078 1104 1120 1127 1155 1176 1210 1232 1265 1288 1320 1344 1380 1452 1470 1472 1518 1540 1568 1610 1617 1680 1694 1760 1771 1815 1840 1848 1932 1936 1960 2024 2112 2156 2208 2240 2254 2310 2352 2415 2420 2464 2530 2541 2576 2640 2695 2760 2783 2904 2940 3036 3080 3136 3220 3234 3360 3381 3388 3520 3542 3630 3680 3696 3795 3864 3872 3920 4048 4235 4312 4416 4508 4620 4704 4830 4840 4928 5060 5082 5152 5280 5313 5390 5520 5566 5635 5808 5880 5929 6072 6160 6440 6468 6720 6762 6776 7084 7260 7360 7392 7590 7728 7744 7840 8085 8096 8349 8470 8624 8855 9016 9240 9408 9660 9680 10120 10164 10304 10560 10626 10780 11040 11132 11270 11616 11760 11858 12144 12320 12397 12705 12880 12936 13524 13552 13915 14168 14520 14784 15180 15456 15680 16170 16192 16698 16905 16940 17248 17710 17787 18032 18480 19320 19360 19481 20240 20328 21252 21560 22080 22264 22540 23232 23520 23716 24288 24640 24794 25410 25760 25872 26565 27048 27104 27830 28336 29040 29645 30360 30912 32340 33396 33810 33880 34496 35420 35574 36064 36960 37191 38640 38720 38962 40480 40656 41745 42504 43120 44528 45080 47040 47432 48576 49588 50820 51520 51744 53130 54096 54208 55660 56672 58080 58443 59290 60720 61985 64680 66792 67620 67760 70840 71148 72128 73920 74382 77280 77924 80960 81312 83490 85008 86240 88935 89056 90160 94864 97405 99176 101640 103488 106260 108192 111320 113344 116160 116886 118580 121440 123970 129360 133584 135240 135520 136367 141680 142296 148764 154560 155848 162624 166980 170016 172480 177870 178112 180320 185955 189728 194810 198352 203280 212520 216384 222640 233772 237160 242880 247940 258720 267168 270480 271040 272734 283360 284592 292215 297528 311696 333960 340032 355740 360640 371910 379456 389620 396704 406560 409101 425040 445280 467544 474320 495880 517440 534336 540960 545468 566720 569184 584430 595056 623392 667920 681835 711480 743820 779240 793408 813120 818202 850080 890560 935088 948640 991760 1081920 1090936 1138368 1168860 1190112 1246784 1335840 1363670 1422960 1487640 1558480 1636404 1700160 1870176 1897280 1983520 2045505 2181872 2337720 2380224 2671680 2727340 2845920 2975280 3116960 3272808 3740352 3967040 4091010 4363744 4675440 5454680 5691840 5950560 6233920 6545616 8182020 8727488 9350880 10909360 11901120 13091232 16364040 18701760 21818720 26182464 32728080 43637440 65456160 130912320
- Sum of all divisors σ(n): 554565312
- Sum of proper divisors (its aliquot sum) s(n): 423652992
- 130912320 is an abundant number, because the sum of its proper divisors (423652992) is greater than itself. Its abundance is 292740672
Bases of 130912320
- Binary: 1111100110110010000010000002
- Hexadecimal: 0x7CD9040
- Base-36: 25XWLC
Squares and roots of 130912320
- 130912320 squared (1309123202) is 17138035527782400
- 130912320 cubed (1309123203) is 2243579991184418439168000
-
The
square root of 130912320 is 11441.6921825401 -
The
cube root of 130912320 is 507.7619733461
Scales and comparisons
How big is 130912320?- 130,912,320 seconds is equal to 4 years, 8 weeks, 3 days, 4 hours, 32 minutes.
-
To count from 1 to 130,912,320 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 130912320 cubic inches would be around 42.3 feet tall.
Recreational maths with 130912320
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