130824960
130,824,960 is an even composite number composed of six prime numbers multiplied together.
130824960 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 130824960:
28 × 3 × 5 × 7 × 31 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 7 × 31 × 157)See below for interesting mathematical facts about the number 130824960 from the Numbermatics database.
Names of 130824960
- Cardinal: 130824960 can be written as One hundred thirty million, eight hundred twenty-four thousand, nine hundred sixty.
Scientific notation
- Scientific notation: 1.3082496 × 108
Factors of 130824960
Divisors of 130824960
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 32 35 40 42 48 56 60 62 64 70 80 84 93 96 105 112 120 124 128 140 155 157 160 168 186 192 210 217 224 240 248 256 280 310 314 320 336 372 384 420 434 448 465 471 480 496 560 620 628 640 651 672 744 768 785 840 868 896 930 942 960 992 1085 1099 1120 1240 1256 1280 1302 1344 1488 1570 1680 1736 1792 1860 1884 1920 1984 2170 2198 2240 2355 2480 2512 2604 2688 2976 3140 3255 3297 3360 3472 3720 3768 3840 3968 4340 4396 4480 4710 4867 4960 5024 5208 5376 5495 5952 6280 6510 6594 6720 6944 7440 7536 7936 8680 8792 8960 9420 9734 9920 10048 10416 10990 11904 12560 13020 13188 13440 13888 14601 14880 15072 16485 17360 17584 18840 19468 19840 20096 20832 21980 23808 24335 25120 26040 26376 26880 27776 29202 29760 30144 32970 34069 34720 35168 37680 38936 39680 40192 41664 43960 48670 50240 52080 52752 55552 58404 59520 60288 65940 68138 69440 70336 73005 75360 77872 83328 87920 97340 100480 102207 104160 105504 116808 119040 120576 131880 136276 138880 140672 146010 150720 155744 166656 170345 175840 194680 200960 204414 208320 211008 233616 263760 272552 277760 281344 292020 301440 311488 340690 351680 389360 408828 416640 422016 467232 511035 527520 545104 584040 602880 622976 681380 703360 778720 817656 833280 844032 934464 1022070 1055040 1090208 1168080 1245952 1362760 1406720 1557440 1635312 1868928 2044140 2110080 2180416 2336160 2725520 3114880 3270624 3737856 4088280 4220160 4360832 4672320 5451040 6229760 6541248 8176560 8721664 9344640 10902080 13082496 16353120 18689280 21804160 26164992 32706240 43608320 65412480 130824960
- Sum of all divisors σ(n): 496054272
- Sum of proper divisors (its aliquot sum) s(n): 365229312
- 130824960 is an abundant number, because the sum of its proper divisors (365229312) is greater than itself. Its abundance is 234404352
Bases of 130824960
- Binary: 1111100110000111011000000002
- Hexadecimal: 0x7CC3B00
- Base-36: 25W16O
Squares and roots of 130824960
- 130824960 squared (1308249602) is 17115170159001600
- 130824960 cubed (1308249603) is 2239091451444577959936000
-
The
square root of 130824960 is 11437.8739283137 -
The
cube root of 130824960 is 507.6490021691
Scales and comparisons
How big is 130824960?- 130,824,960 seconds is equal to 4 years, 8 weeks, 2 days, 4 hours, 16 minutes.
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To count from 1 to 130,824,960 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 130824960 cubic inches would be around 42.3 feet tall.
Recreational maths with 130824960
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