997027920
997,027,920 is an even composite number composed of seven prime numbers multiplied together.
997027920 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of six hundred forty divisors.
Prime factorization of 997027920:
24 × 33 × 5 × 7 × 23 × 47 × 61
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 23 × 47 × 61)See below for interesting mathematical facts about the number 997027920 from the Numbermatics database.
Names of 997027920
- Cardinal: 997027920 can be written as Nine hundred ninety-seven million, twenty-seven thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.9702792 × 108
Factors of 997027920
Divisors of 997027920
- Number of divisors d(n): 640
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 23 24 27 28 30 35 36 40 42 45 46 47 48 54 56 60 61 63 69 70 72 80 84 90 92 94 105 108 112 115 120 122 126 135 138 140 141 144 161 168 180 183 184 188 189 207 210 216 230 235 240 244 252 270 276 280 282 305 315 322 329 336 345 360 366 368 376 378 414 420 423 427 432 460 470 483 488 504 540 549 552 560 564 610 621 630 644 658 690 705 720 732 752 756 805 828 840 846 854 915 920 940 945 966 976 987 1008 1035 1080 1081 1098 1104 1128 1220 1242 1260 1269 1281 1288 1316 1380 1403 1410 1449 1464 1512 1610 1645 1647 1656 1680 1692 1708 1830 1840 1880 1890 1932 1974 2070 2115 2135 2160 2162 2196 2256 2415 2440 2484 2520 2538 2562 2576 2632 2745 2760 2806 2820 2867 2898 2928 2961 3024 3105 3220 3243 3290 3294 3312 3384 3416 3660 3760 3780 3843 3864 3948 4140 4209 4230 4270 4324 4347 4392 4830 4880 4935 4968 5040 5076 5124 5264 5405 5490 5520 5612 5640 5734 5796 5922 6210 6345 6405 6440 6486 6580 6588 6768 6832 7015 7245 7320 7560 7567 7686 7728 7896 8235 8280 8418 8460 8540 8601 8648 8694 8784 8883 9660 9729 9821 9870 9936 10152 10248 10810 10980 11224 11280 11468 11529 11592 11844 12420 12627 12690 12810 12880 12972 13160 13176 14030 14335 14490 14640 14805 15120 15134 15372 15792 16215 16470 16560 16836 16920 17080 17202 17296 17388 17766 19215 19320 19458 19642 19740 20069 20304 20496 21045 21620 21735 21960 22448 22701 22936 23058 23184 23688 24840 25254 25380 25620 25803 25944 26320 26352 28060 28670 28980 29187 29463 29610 30268 30744 32430 32940 33672 33840 34160 34404 34776 35532 37835 37881 38430 38640 38916 39284 39480 40138 42090 43005 43240 43470 43920 44415 45402 45872 46116 47376 48645 49105 49680 50508 50760 51240 51606 51888 56120 57340 57645 57960 58374 58926 59220 60207 60536 61488 63135 64860 65880 65941 67344 68103 68808 69552 71064 75670 75762 76860 77409 77832 78568 78960 80276 84180 86010 86480 86940 88389 88830 90804 92232 97290 98210 100345 101016 101520 102480 103212 112240 113505 114680 115290 115920 116748 117852 118440 120414 121072 126270 129015 129720 131760 131882 136206 137616 142128 145935 147315 151340 151524 153720 154818 155664 157136 160552 168360 172020 173880 176778 177660 180621 181608 184464 189405 194580 196420 197823 200690 202032 204309 206424 227010 229360 230580 233496 235704 236880 240828 252540 258030 259440 263764 265167 272412 291870 294630 301035 302680 303048 307440 309636 321104 329705 336720 340515 344040 347760 353556 355320 361242 363216 378810 387045 389160 392840 395646 401380 408618 412848 441945 454020 461160 461587 466992 471408 481656 505080 516060 527528 530334 541863 544824 583740 589260 593469 602070 605360 606096 619272 659410 681030 688080 707112 710640 722484 757620 774090 778320 785680 791292 802760 817236 883890 903105 908040 922320 923174 963312 989115 1010160 1021545 1032120 1055056 1060668 1083726 1089648 1167480 1178520 1186938 1204140 1238544 1318820 1325835 1362060 1384761 1414224 1444968 1515240 1548180 1582584 1605520 1634472 1767780 1780407 1806210 1816080 1846348 1978230 2043090 2064240 2121336 2167452 2307935 2334960 2357040 2373876 2408280 2637640 2651670 2709315 2724120 2769522 2889936 2967345 3030480 3096360 3165168 3268944 3535560 3560814 3612420 3692696 3956460 4086180 4154283 4242672 4334904 4615870 4747752 4816560 5275280 5303340 5418630 5448240 5539044 5934690 6192720 6923805 7071120 7121628 7224840 7385392 7912920 8172360 8308566 8669808 8902035 9231740 9495504 10606680 10837260 11078088 11869380 12462849 13847610 14243256 14449680 15825840 16344720 16617132 17804070 18463480 20771415 21213360 21674520 22156176 23738760 24925698 27695220 28486512 33234264 35608140 36926960 41542830 43349040 47477520 49851396 55390440 62314245 66468528 71216280 83085660 99702792 110780880 124628490 142432560 166171320 199405584 249256980 332342640 498513960 997027920
- Sum of all divisors σ(n): 4251156480
- Sum of proper divisors (its aliquot sum) s(n): 3254128560
- 997027920 is an abundant number, because the sum of its proper divisors (3254128560) is greater than itself. Its abundance is 2257100640
Bases of 997027920
- Binary: 1110110110110101110000010100002
- Hexadecimal: 0x3B6D7050
- Base-36: GHLRO0
Squares and roots of 997027920
- 997027920 squared (9970279202) is 994064673259526400
- 997027920 cubed (9970279203) is 991110233525425226777088000
-
The
square root of 997027920 is 31575.7489222347 -
The
cube root of 997027920 is 999.0083235697
Scales and comparisons
How big is 997027920?- 997,027,920 seconds is equal to 31 years, 36 weeks, 3 days, 16 hours, 12 minutes.
-
To count from 1 to 997,027,920 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 997027920 cubic inches would be around 83.3 feet tall.
Recreational maths with 997027920
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