214816320
214,816,320 is an even composite number composed of five prime numbers multiplied together.
214816320 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred thirty-six divisors.
Prime factorization of 214816320:
26 × 33 × 5 × 232 × 47
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 23 × 23 × 47)See below for interesting mathematical facts about the number 214816320 from the Numbermatics database.
Names of 214816320
- Cardinal: 214816320 can be written as Two hundred fourteen million, eight hundred sixteen thousand, three hundred twenty.
Scientific notation
- Scientific notation: 2.1481632 × 108
Factors of 214816320
Divisors of 214816320
- Number of divisors d(n): 336
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 32 36 40 45 46 47 48 54 60 64 69 72 80 90 92 94 96 108 115 120 135 138 141 144 160 180 184 188 192 207 216 230 235 240 270 276 282 288 320 345 360 368 376 414 423 432 460 470 480 529 540 552 564 576 621 690 705 720 736 752 828 846 864 920 940 960 1035 1058 1080 1081 1104 1128 1242 1269 1380 1410 1440 1472 1504 1587 1656 1692 1728 1840 1880 2070 2115 2116 2160 2162 2208 2256 2484 2538 2645 2760 2820 2880 3008 3105 3174 3243 3312 3384 3680 3760 4140 4230 4232 4320 4324 4416 4512 4761 4968 5076 5290 5405 5520 5640 6210 6345 6348 6486 6624 6768 7360 7520 7935 8280 8460 8464 8640 8648 9024 9522 9729 9936 10152 10580 10810 11040 11280 12420 12690 12696 12972 13248 13536 14283 15040 15870 16215 16560 16920 16928 17296 19044 19458 19872 20304 21160 21620 22080 22560 23805 24840 24863 25380 25392 25944 27072 28566 29187 31740 32430 33120 33840 33856 34592 38088 38916 39744 40608 42320 43240 45120 47610 48645 49680 49726 50760 50784 51888 57132 58374 63480 64860 66240 67680 69184 71415 74589 76176 77832 81216 84640 86480 95220 97290 99360 99452 101520 101568 103776 114264 116748 124315 126960 129720 135360 142830 145935 149178 152352 155664 169280 172960 190440 194580 198720 198904 203040 207552 223767 228528 233496 248630 253920 259440 285660 291870 298356 304704 311328 345920 372945 380880 389160 397808 406080 447534 457056 466992 497260 507840 518880 571320 583740 596712 622656 671301 745890 761760 778320 795616 895068 914112 933984 994520 1037760 1118835 1142640 1167480 1193424 1342602 1491780 1523520 1556640 1591232 1790136 1867968 1989040 2237670 2285280 2334960 2386848 2685204 2983560 3113280 3356505 3580272 3978080 4475340 4570560 4669920 4773696 5370408 5967120 6713010 7160544 7956160 8950680 9339840 10740816 11934240 13426020 14321088 17901360 21481632 23868480 26852040 35802720 42963264 53704080 71605440 107408160 214816320
- Sum of all divisors σ(n): 809061120
- Sum of proper divisors (its aliquot sum) s(n): 594244800
- 214816320 is an abundant number, because the sum of its proper divisors (594244800) is greater than itself. Its abundance is 379428480
Bases of 214816320
- Binary: 11001100110111010110010000002
- Hexadecimal: 0xCCDD640
- Base-36: 3JW9C0
Squares and roots of 214816320
- 214816320 squared (2148163202) is 46146051338342400
- 214816320 cubed (2148163203) is 9912924931033789267968000
-
The
square root of 214816320 is 14656.6135242765 -
The
cube root of 214816320 is 598.9019918559
Scales and comparisons
How big is 214816320?- 214,816,320 seconds is equal to 6 years, 43 weeks, 1 day, 7 hours, 12 minutes.
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To count from 1 to 214,816,320 would take you about ten 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 214816320 cubic inches would be around 49.9 feet tall.
Recreational maths with 214816320
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