130291200
130,291,200 is an even composite number composed of five prime numbers multiplied together.
130291200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 130291200:
29 × 33 × 52 × 13 × 29
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 13 × 29)See below for interesting mathematical facts about the number 130291200 from the Numbermatics database.
Names of 130291200
- Cardinal: 130291200 can be written as One hundred thirty million, two hundred ninety-one thousand, two hundred.
Scientific notation
- Scientific notation: 1.302912 × 108
Factors of 130291200
Divisors of 130291200
- Number of divisors d(n): 480
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 25 26 27 29 30 32 36 39 40 45 48 50 52 54 58 60 64 65 72 75 78 80 87 90 96 100 104 108 116 117 120 128 130 135 144 145 150 156 160 174 180 192 195 200 208 216 225 232 234 240 256 260 261 270 288 290 300 312 320 325 348 351 360 377 384 390 400 416 432 435 450 464 468 480 512 520 522 540 576 580 585 600 624 640 650 675 696 702 720 725 754 768 780 783 800 832 864 870 900 928 936 960 975 1040 1044 1080 1131 1152 1160 1170 1200 1248 1280 1300 1305 1350 1392 1404 1440 1450 1508 1536 1560 1566 1600 1664 1728 1740 1755 1800 1856 1872 1885 1920 1950 2080 2088 2160 2175 2262 2304 2320 2340 2400 2496 2560 2600 2610 2700 2784 2808 2880 2900 2925 3016 3120 3132 3200 3328 3393 3456 3480 3510 3600 3712 3744 3770 3840 3900 3915 4160 4176 4320 4350 4524 4608 4640 4680 4800 4992 5200 5220 5400 5568 5616 5655 5760 5800 5850 6032 6240 6264 6400 6525 6656 6786 6912 6960 7020 7200 7424 7488 7540 7680 7800 7830 8320 8352 8640 8700 8775 9048 9280 9360 9425 9600 9984 10179 10400 10440 10800 11136 11232 11310 11520 11600 11700 12064 12480 12528 12800 13050 13572 13824 13920 14040 14400 14848 14976 15080 15600 15660 16640 16704 16965 17280 17400 17550 18096 18560 18720 18850 19200 19575 19968 20358 20800 20880 21600 22272 22464 22620 23040 23200 23400 24128 24960 25056 26100 27144 27840 28080 28275 28800 29952 30160 31200 31320 33280 33408 33930 34560 34800 35100 36192 37120 37440 37700 38400 39150 40716 41600 41760 43200 44544 44928 45240 46400 46800 48256 49920 50112 50895 52200 54288 55680 56160 56550 57600 59904 60320 62400 62640 66816 67860 69120 69600 70200 72384 74240 74880 75400 78300 81432 83200 83520 84825 86400 89856 90480 92800 93600 96512 99840 100224 101790 104400 108576 111360 112320 113100 115200 120640 124800 125280 133632 135720 139200 140400 144768 149760 150800 156600 162864 166400 167040 169650 172800 179712 180960 185600 187200 193024 200448 203580 208800 217152 222720 224640 226200 241280 249600 250560 254475 271440 278400 280800 289536 299520 301600 313200 325728 334080 339300 345600 361920 371200 374400 400896 407160 417600 434304 449280 452400 482560 499200 501120 508950 542880 556800 561600 579072 603200 626400 651456 668160 678600 723840 748800 814320 835200 868608 898560 904800 965120 1002240 1017900 1085760 1113600 1123200 1206400 1252800 1302912 1357200 1447680 1497600 1628640 1670400 1737216 1809600 2004480 2035800 2171520 2246400 2412800 2505600 2605824 2714400 2895360 3257280 3340800 3619200 4071600 4343040 4492800 4825600 5011200 5211648 5428800 6514560 7238400 8143200 8686080 10022400 10857600 13029120 14476800 16286400 21715200 26058240 32572800 43430400 65145600 130291200
- Sum of all divisors σ(n): 532778400
- Sum of proper divisors (its aliquot sum) s(n): 402487200
- 130291200 is an abundant number, because the sum of its proper divisors (402487200) is greater than itself. Its abundance is 272196000
Bases of 130291200
- Binary: 1111100010000010110000000002
- Hexadecimal: 0x7C41600
- Base-36: 25KLC0
Squares and roots of 130291200
- 130291200 squared (1302912002) is 16975796797440000
- 130291200 cubed (1302912003) is 2211796935694614528000000
-
The
square root of 130291200 is 11414.5170725703 -
The
cube root of 130291200 is 506.9576660147
Scales and comparisons
How big is 130291200?- 130,291,200 seconds is equal to 4 years, 7 weeks, 3 days.
-
To count from 1 to 130,291,200 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 130291200 cubic inches would be around 42.2 feet tall.
Recreational maths with 130291200
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