472121664
472,121,664 is an even composite number composed of five prime numbers multiplied together.
472121664 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 472121664:
26 × 3 × 73 × 67 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 7 × 7 × 7 × 67 × 107)See below for interesting mathematical facts about the number 472121664 from the Numbermatics database.
Names of 472121664
- Cardinal: 472121664 can be written as Four hundred seventy-two million, one hundred twenty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 4.72121664 × 108
Factors of 472121664
Divisors of 472121664
- Number of divisors d(n): 224
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 67 84 96 98 107 112 134 147 168 192 196 201 214 224 268 294 321 336 343 392 402 428 448 469 536 588 642 672 686 749 784 804 856 938 1029 1072 1176 1284 1344 1372 1407 1498 1568 1608 1712 1876 2058 2144 2247 2352 2568 2744 2814 2996 3136 3216 3283 3424 3752 4116 4288 4494 4704 5136 5243 5488 5628 5992 6432 6566 6848 7169 7504 8232 8988 9408 9849 10272 10486 10976 11256 11984 12864 13132 14338 15008 15729 16464 17976 19698 20544 20972 21507 21952 22512 22981 23968 26264 28676 30016 31458 32928 35952 36701 39396 41944 43014 45024 45962 47936 50183 52528 57352 62916 65856 68943 71904 73402 78792 83888 86028 90048 91924 100366 105056 110103 114704 125832 137886 143808 146804 150549 157584 167776 172056 183848 200732 210112 220206 229408 251664 275772 293608 301098 315168 335552 344112 351281 367696 401464 440412 458816 503328 551544 587216 602196 630336 688224 702562 735392 802928 880824 1006656 1053843 1103088 1174432 1204392 1376448 1405124 1470784 1605856 1761648 2107686 2206176 2348864 2408784 2458967 2810248 3211712 3523296 4215372 4412352 4817568 4917934 5620496 7046592 7376901 8430744 9635136 9835868 11240992 14753802 16861488 19671736 22481984 29507604 33722976 39343472 59015208 67445952 78686944 118030416 157373888 236060832 472121664
- Sum of all divisors σ(n): 1492300800
- Sum of proper divisors (its aliquot sum) s(n): 1020179136
- 472121664 is an abundant number, because the sum of its proper divisors (1020179136) is greater than itself. Its abundance is 548057472
Bases of 472121664
- Binary: 111000010010000000001010000002
- Hexadecimal: 0x1C240140
- Base-36: 7T37EO
Squares and roots of 472121664
- 472121664 squared (4721216642) is 222898865618128896
- 472121664 cubed (4721216643) is 105235383339343402946002944
-
The
square root of 472121664 is 21728.3608217463 -
The
cube root of 472121664 is 778.6661753817
Scales and comparisons
How big is 472121664?- 472,121,664 seconds is equal to 15 years, 4 days, 8 hours, 54 minutes, 24 seconds.
-
To count from 1 to 472,121,664 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 472121664 cubic inches would be around 64.9 feet tall.
Recreational maths with 472121664
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