972424752
972,424,752 is an even composite number composed of six prime numbers multiplied together.
What does the number 972424752 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 240 divisors.
972424752 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 972424752:
24 × 3 × 13 × 17 × 292 × 109
(2 × 2 × 2 × 2 × 3 × 13 × 17 × 29 × 29 × 109)See below for interesting mathematical facts about the number 972424752 from the Numbermatics database.
Names of 972424752
- Cardinal: 972424752 can be written as Nine hundred seventy-two million, four hundred twenty-four thousand, seven hundred fifty-two.
Scientific notation
- Scientific notation: 9.72424752 × 108
Factors of 972424752
Divisors of 972424752
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 3 4 6 8 12 13 16 17 24 26 29 34 39 48 51 52 58 68 78 87 102 104 109 116 136 156 174 204 208 218 221 232 272 312 327 348 377 408 436 442 464 493 624 654 663 696 754 816 841 872 884 986 1131 1308 1326 1392 1417 1479 1508 1682 1744 1768 1853 1972 2262 2523 2616 2652 2834 2958 3016 3161 3364 3536 3706 3944 4251 4524 5046 5232 5304 5559 5668 5916 6032 6322 6409 6728 7412 7888 8502 9048 9483 10092 10608 10933 11118 11336 11832 12644 12818 13456 14297 14824 17004 18096 18966 19227 20184 21866 22236 22672 23664 24089 25288 25636 28594 29648 32799 34008 37932 38454 40368 41093 42891 43732 44472 48178 50576 51272 53737 57188 65598 68016 72267 75864 76908 82186 85782 87464 88944 91669 96356 102544 107474 114376 123279 131196 144534 151728 153816 161211 164372 171564 174928 183338 185861 192712 214948 228752 246558 262392 275007 289068 307632 322422 328744 343128 366676 371722 385424 429896 493116 524784 550014 557583 578136 644844 657488 686256 698581 733352 743444 859792 986232 1100028 1115166 1156272 1191697 1289688 1397162 1466704 1486888 1558373 1972464 2095743 2200056 2230332 2383394 2579376 2794324 2973776 3116746 3575091 4191486 4400112 4460664 4675119 4766788 5588648 6233492 7150182 8382972 8921328 9350238 9533576 11177296 12466984 14300364 16765944 18700476 19067152 20258849 24933968 28600728 33531888 37400952 40517698 57201456 60776547 74801904 81035396 121553094 162070792 243106188 324141584 486212376 972424752
- Sum of all divisors σ(n): 2993870880
- Sum of proper divisors (its aliquot sum) s(n): 2021446128
- 972424752 is an abundant number, because the sum of its proper divisors (2021446128) is greater than itself. Its abundance is 1049021376
Bases of 972424752
- Binary: 1110011111011000000110001100002
- Hexadecimal: 0x39F60630
- Base-36: G2YFQO
Squares and roots of 972424752
- 972424752 squared (9724247522) is 945609898302261504
- 972424752 cubed (9724247523) is 919534470845321864066347008
-
The
square root of 972424752 is 31183.7257555925 -
The
cube root of 972424752 is 990.7224438001
Scales and comparisons
How big is 972424752?- 972,424,752 seconds is equal to 30 years, 47 weeks, 5 days, 21 hours, 59 minutes, 12 seconds.
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To count from 1 to 972,424,752 would take you about forty-six 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 972424752 cubic inches would be around 82.6 feet tall.
Recreational maths with 972424752
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