472713920
472,713,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 472713920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 224 divisors.
472713920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 472713920:
26 × 5 × 7 × 19 × 29 × 383
(2 × 2 × 2 × 2 × 2 × 2 × 5 × 7 × 19 × 29 × 383)See below for interesting mathematical facts about the number 472713920 from the Numbermatics database.
Names of 472713920
- Cardinal: 472713920 can be written as Four hundred seventy-two million, seven hundred thirteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 4.7271392 × 108
Factors of 472713920
Divisors of 472713920
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 19 20 28 29 32 35 38 40 56 58 64 70 76 80 95 112 116 133 140 145 152 160 190 203 224 232 266 280 290 304 320 380 383 406 448 464 532 551 560 580 608 665 760 766 812 928 1015 1064 1102 1120 1160 1216 1330 1520 1532 1624 1856 1915 2030 2128 2204 2240 2320 2660 2681 2755 3040 3064 3248 3830 3857 4060 4256 4408 4640 5320 5362 5510 6080 6128 6496 7277 7660 7714 8120 8512 8816 9280 10640 10724 11020 11107 12256 12992 13405 14554 15320 15428 16240 17632 19285 21280 21448 22040 22214 24512 26810 29108 30640 30856 32480 35264 36385 38570 42560 42896 44080 44428 50939 53620 55535 58216 61280 61712 64960 72770 77140 77749 85792 88160 88856 101878 107240 111070 116432 122560 123424 145540 154280 155498 171584 176320 177712 203756 211033 214480 222140 232864 246848 254695 291080 308560 310996 355424 388745 407512 422066 428960 444280 465728 509390 582160 617120 621992 710848 777490 815024 844132 857920 888560 1018780 1055165 1164320 1234240 1243984 1477231 1554980 1630048 1688264 1777120 2037560 2110330 2328640 2487968 2954462 3109960 3260096 3376528 3554240 4075120 4220660 4975936 5908924 6219920 6753056 7386155 8150240 8441320 11817848 12439840 13506112 14772310 16300480 16882640 23635696 24879680 29544620 33765280 47271392 59089240 67530560 94542784 118178480 236356960 472713920
- Sum of all divisors σ(n): 1404518400
- Sum of proper divisors (its aliquot sum) s(n): 931804480
- 472713920 is an abundant number, because the sum of its proper divisors (931804480) is greater than itself. Its abundance is 459090560
Bases of 472713920
- Binary: 111000010110100001010110000002
- Hexadecimal: 0x1C2D0AC0
- Base-36: 7TFWE8
Squares and roots of 472713920
- 472713920 squared (4727139202) is 223458450161766400
- 472713920 cubed (4727139203) is 105631919933093229068288000
-
The
square root of 472713920 is 21741.9851899499 -
The
cube root of 472713920 is 778.9916402247
Scales and comparisons
How big is 472713920?- 472,713,920 seconds is equal to 15 years, 1 week, 4 days, 5 hours, 25 minutes, 20 seconds.
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To count from 1 to 472,713,920 would take you about twenty-two 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 472713920 cubic inches would be around 64.9 feet tall.
Recreational maths with 472713920
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