997053120
997,053,120 is an even composite number composed of six prime numbers multiplied together.
997053120 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred four divisors.
Prime factorization of 997053120:
26 × 32 × 5 × 7 × 192 × 137
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 19 × 19 × 137)See below for interesting mathematical facts about the number 997053120 from the Numbermatics database.
Names of 997053120
- Cardinal: 997053120 can be written as Nine hundred ninety-seven million, fifty-three thousand, one hundred twenty.
Scientific notation
- Scientific notation: 9.9705312 × 108
Factors of 997053120
Divisors of 997053120
- Number of divisors d(n): 504
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 19 20 21 24 28 30 32 35 36 38 40 42 45 48 56 57 60 63 64 70 72 76 80 84 90 95 96 105 112 114 120 126 133 137 140 144 152 160 168 171 180 190 192 210 224 228 240 252 266 274 280 285 288 304 315 320 336 342 360 361 380 399 411 420 448 456 480 504 532 548 560 570 576 608 630 665 672 684 685 720 722 760 798 822 840 855 912 959 960 1008 1064 1083 1096 1120 1140 1197 1216 1233 1260 1330 1344 1368 1370 1440 1444 1520 1596 1644 1680 1710 1805 1824 1918 1995 2016 2055 2128 2166 2192 2240 2280 2394 2466 2520 2527 2603 2660 2736 2740 2877 2880 2888 3040 3192 3249 3288 3360 3420 3610 3648 3836 3990 4032 4110 4256 4332 4384 4560 4788 4795 4932 5040 5054 5206 5320 5415 5472 5480 5754 5776 5985 6080 6165 6384 6498 6576 6720 6840 7220 7581 7672 7809 7980 8220 8512 8631 8664 8768 9120 9576 9590 9864 10080 10108 10412 10640 10830 10944 10960 11508 11552 11970 12330 12635 12768 12996 13015 13152 13680 14385 14440 15162 15344 15618 15960 16245 16440 17262 17328 18221 18240 19152 19180 19728 20160 20216 20824 21280 21660 21920 22743 23016 23104 23427 23940 24660 25270 25536 25992 26030 26304 27360 28770 28880 30324 30688 31236 31920 32490 32880 34524 34656 36442 37905 38304 38360 39045 39456 40432 41648 42560 43155 43320 43840 45486 46032 46854 47880 49320 49457 50540 51984 52060 54663 54720 57540 57760 60648 61376 62472 63840 64980 65760 69048 69312 72884 75810 76608 76720 78090 78912 80864 83296 86310 86640 90972 91105 92064 93708 95760 98640 98914 101080 103968 104120 109326 113715 115080 115520 117135 121296 124944 127680 129960 131520 138096 145768 148371 151620 153440 156180 161728 163989 166592 172620 173280 181944 182210 184128 187416 191520 197280 197828 202160 207936 208240 218652 227430 230160 234270 242592 247285 249888 259920 273315 276192 291536 296742 303240 306880 312360 327978 345240 346199 346560 363888 364420 374832 383040 394560 395656 404320 416480 437304 445113 454860 460320 468540 485184 494570 499776 519840 546630 552384 583072 593484 606480 624720 655956 690480 692398 727776 728840 741855 749664 791312 808640 819945 832960 874608 890226 909720 920640 937080 989140 1038597 1039680 1093260 1166144 1186968 1212960 1249440 1311912 1380960 1384796 1455552 1457680 1483710 1499328 1582624 1639890 1730995 1749216 1780452 1819440 1874160 1978280 2077194 2186520 2225565 2373936 2425920 2498880 2623824 2761920 2769592 2915360 2967420 3115791 3165248 3279780 3461990 3498432 3560904 3638880 3748320 3956560 4154388 4373040 4451130 4747872 5192985 5247648 5539184 5830720 5934840 6231582 6559560 6923980 7121808 7277760 7496640 7913120 8308776 8746080 8902260 9495744 10385970 10495296 11078368 11869680 12463164 13119120 13847960 14243616 15578955 15826240 16617552 17492160 17804520 20771940 22156736 23739360 24926328 26238240 27695920 28487232 31157910 33235104 35609040 41543880 47478720 49852656 52476480 55391840 62315820 66470208 71218080 83087760 99705312 110783680 124631640 142436160 166175520 199410624 249263280 332351040 498526560 997053120
- Sum of all divisors σ(n): 4166701344
- Sum of proper divisors (its aliquot sum) s(n): 3169648224
- 997053120 is an abundant number, because the sum of its proper divisors (3169648224) is greater than itself. Its abundance is 2172595104
Bases of 997053120
- Binary: 1110110110110111010010110000002
- Hexadecimal: 0x3B6DD2C0
- Base-36: GHMB40
Squares and roots of 997053120
- 997053120 squared (9970531202) is 994114924101734400
- 997053120 cubed (9970531203) is 991185386714197480931328000
-
The
square root of 997053120 is 31576.1479601297 -
The
cube root of 997053120 is 999.0167401837
Scales and comparisons
How big is 997053120?- 997,053,120 seconds is equal to 31 years, 36 weeks, 3 days, 23 hours, 12 minutes.
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To count from 1 to 997,053,120 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 997053120 cubic inches would be around 83.3 feet tall.
Recreational maths with 997053120
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