531428480
531,428,480 is an even composite number composed of six prime numbers multiplied together.
531428480 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred fifty-six divisors.
Prime factorization of 531428480:
27 × 5 × 11 × 19 × 29 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 11 × 19 × 29 × 137)See below for interesting mathematical facts about the number 531428480 from the Numbermatics database.
Names of 531428480
- Cardinal: 531428480 can be written as Five hundred thirty-one million, four hundred twenty-eight thousand, four hundred eighty.
Scientific notation
- Scientific notation: 5.3142848 × 108
Factors of 531428480
Divisors of 531428480
- Number of divisors d(n): 256
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Complete list of divisors:
1 2 4 5 8 10 11 16 19 20 22 29 32 38 40 44 55 58 64 76 80 88 95 110 116 128 137 145 152 160 176 190 209 220 232 274 290 304 319 320 352 380 418 440 464 548 551 580 608 638 640 685 704 760 836 880 928 1045 1096 1102 1160 1216 1276 1370 1408 1507 1520 1595 1672 1760 1856 2090 2192 2204 2320 2432 2552 2603 2740 2755 3014 3040 3190 3344 3520 3712 3973 4180 4384 4408 4640 5104 5206 5480 5510 6028 6061 6080 6380 6688 7040 7535 7946 8360 8768 8816 9280 10208 10412 10960 11020 12056 12122 12160 12760 13015 13376 15070 15892 16720 17536 17632 18560 19865 20416 20824 21920 22040 24112 24244 25520 26030 26752 28633 30140 30305 31784 33440 35264 39730 40832 41648 43703 43840 44080 48224 48488 51040 52060 57266 60280 60610 63568 66880 70528 75487 79460 83296 87406 87680 88160 96448 96976 102080 104120 114532 120560 121220 127136 133760 143165 150974 158920 166592 174812 176320 192896 193952 204160 208240 218515 229064 241120 242440 254272 286330 301948 317840 333184 349624 352640 377435 387904 416480 437030 458128 482240 484880 508544 572660 603896 635680 699248 754870 775808 830357 832960 874060 916256 964480 969760 1145320 1207792 1271360 1398496 1509740 1660714 1665920 1748120 1832512 1939520 2290640 2415584 2542720 2796992 3019480 3321428 3496240 3665024 3879040 4151785 4581280 4831168 5593984 6038960 6642856 6992480 8303570 9162560 9662336 12077920 13285712 13984960 16607140 18325120 24155840 26571424 27969920 33214280 48311680 53142848 66428560 106285696 132857120 265714240 531428480
- Sum of all divisors σ(n): 1520208000
- Sum of proper divisors (its aliquot sum) s(n): 988779520
- 531428480 is an abundant number, because the sum of its proper divisors (988779520) is greater than itself. Its abundance is 457351040
Bases of 531428480
- Binary: 111111010110011110100100000002
- Hexadecimal: 0x1FACF480
- Base-36: 8SECU8
Squares and roots of 531428480
- 531428480 squared (5314284802) is 282416229355110400
- 531428480 cubed (5314284803) is 150084027493517700104192000
-
The
square root of 531428480 is 23052.7325929053 -
The
cube root of 531428480 is 809.9936391311
Scales and comparisons
How big is 531428480?- 531,428,480 seconds is equal to 16 years, 46 weeks, 4 days, 19 hours, 1 minute, 20 seconds.
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To count from 1 to 531,428,480 would take you about twenty-five 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 531428480 cubic inches would be around 67.5 feet tall.
Recreational maths with 531428480
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