996972400
996,972,400 is an even composite number composed of six prime numbers multiplied together.
996972400 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 996972400:
24 × 52 × 31 × 37 × 41 × 53
(2 × 2 × 2 × 2 × 5 × 5 × 31 × 37 × 41 × 53)See below for interesting mathematical facts about the number 996972400 from the Numbermatics database.
Names of 996972400
- Cardinal: 996972400 can be written as Nine hundred ninety-six million, nine hundred seventy-two thousand, four hundred.
Scientific notation
- Scientific notation: 9.969724 × 108
Factors of 996972400
Divisors of 996972400
- Number of divisors d(n): 240
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Complete list of divisors:
1 2 4 5 8 10 16 20 25 31 37 40 41 50 53 62 74 80 82 100 106 124 148 155 164 185 200 205 212 248 265 296 310 328 370 400 410 424 496 530 592 620 656 740 775 820 848 925 1025 1060 1147 1240 1271 1325 1480 1517 1550 1640 1643 1850 1961 2050 2120 2173 2294 2480 2542 2650 2960 3034 3100 3280 3286 3700 3922 4100 4240 4346 4588 5084 5300 5735 6068 6200 6355 6572 7400 7585 7844 8200 8215 8692 9176 9805 10168 10600 10865 11470 12136 12400 12710 13144 14800 15170 15688 16400 16430 17384 18352 19610 20336 21200 21730 22940 24272 25420 26288 28675 30340 31376 31775 32860 34768 37925 39220 41075 43460 45880 47027 49025 50840 54325 57350 60680 60791 63550 65720 67363 75850 78440 80401 82150 86920 91760 94054 98050 101680 108650 114700 121360 121582 127100 131440 134726 151700 156880 160802 164300 173840 188108 196100 217300 229400 235135 243164 254200 269452 303400 303955 321604 328600 336815 376216 392200 402005 434600 458800 470270 486328 508400 538904 606800 607910 643208 657200 673630 752432 784400 804010 869200 940540 972656 1077808 1175675 1215820 1286416 1347260 1519775 1608020 1684075 1881080 2010025 2351350 2431640 2492431 2694520 3039550 3216040 3368150 3762160 4020050 4702700 4863280 4984862 5389040 6079100 6432080 6736300 8040100 9405400 9969724 12158200 12462155 13472600 16080200 18810800 19939448 24316400 24924310 26945200 32160400 39878896 49848620 62310775 99697240 124621550 199394480 249243100 498486200 996972400
- Sum of all divisors σ(n): 2650330368
- Sum of proper divisors (its aliquot sum) s(n): 1653357968
- 996972400 is an abundant number, because the sum of its proper divisors (1653357968) is greater than itself. Its abundance is 656385568
Bases of 996972400
- Binary: 1110110110110010010111011100002
- Hexadecimal: 0x3B6C9770
- Base-36: GHKKTS
Squares and roots of 996972400
- 996972400 squared (9969724002) is 993953966361760000
- 996972400 cubed (9969724003) is 990944671333203135424000000
-
The
square root of 996972400 is 31574.8697542841 -
The
cube root of 996972400 is 998.9897797989
Scales and comparisons
How big is 996972400?- 996,972,400 seconds is equal to 31 years, 36 weeks, 3 days, 46 minutes, 40 seconds.
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To count from 1 to 996,972,400 would take you about forty-seven 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 996972400 cubic inches would be around 83.2 feet tall.
Recreational maths with 996972400
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