214629120
214,629,120 is an even composite number composed of five prime numbers multiplied together.
214629120 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 214629120:
28 × 32 × 5 × 31 × 601
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 601)See below for interesting mathematical facts about the number 214629120 from the Numbermatics database.
Names of 214629120
- Cardinal: 214629120 can be written as Two hundred fourteen million, six hundred twenty-nine thousand, one hundred twenty.
Scientific notation
- Scientific notation: 2.1462912 × 108
Factors of 214629120
Divisors of 214629120
- Number of divisors d(n): 216
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 64 72 80 90 93 96 120 124 128 144 155 160 180 186 192 240 248 256 279 288 310 320 360 372 384 465 480 496 558 576 601 620 640 720 744 768 930 960 992 1116 1152 1202 1240 1280 1395 1440 1488 1803 1860 1920 1984 2232 2304 2404 2480 2790 2880 2976 3005 3606 3720 3840 3968 4464 4808 4960 5409 5580 5760 5952 6010 7212 7440 7936 8928 9015 9616 9920 10818 11160 11520 11904 12020 14424 14880 17856 18030 18631 19232 19840 21636 22320 23808 24040 27045 28848 29760 35712 36060 37262 38464 39680 43272 44640 48080 54090 55893 57696 59520 71424 72120 74524 76928 86544 89280 93155 96160 108180 111786 115392 119040 144240 149048 153856 167679 173088 178560 186310 192320 216360 223572 230784 279465 288480 298096 335358 346176 357120 372620 384640 432720 447144 461568 558930 576960 596192 670716 692352 745240 769280 838395 865440 894288 1117860 1153920 1192384 1341432 1384704 1490480 1676790 1730880 1788576 2235720 2307840 2384768 2682864 2980960 3353580 3461760 3577152 4471440 4769536 5365728 5961920 6707160 6923520 7154304 8942880 10731456 11923840 13414320 14308608 17885760 21462912 23847680 26828640 35771520 42925824 53657280 71543040 107314560 214629120
- Sum of all divisors σ(n): 767824512
- Sum of proper divisors (its aliquot sum) s(n): 553195392
- 214629120 is an abundant number, because the sum of its proper divisors (553195392) is greater than itself. Its abundance is 338566272
Bases of 214629120
- Binary: 11001100101011111011000000002
- Hexadecimal: 0xCCAFB00
- Base-36: 3JS8W0
Squares and roots of 214629120
- 214629120 squared (2146291202) is 46065659151974400
- 214629120 cubed (2146291203) is 9887031886008211734528000
-
The
square root of 214629120 is 14650.2259368243 -
The
cube root of 214629120 is 598.7279718129
Scales and comparisons
How big is 214629120?- 214,629,120 seconds is equal to 6 years, 42 weeks, 6 days, 3 hours, 12 minutes.
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To count from 1 to 214,629,120 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 214629120 cubic inches would be around 49.9 feet tall.
Recreational maths with 214629120
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