990171000
990,171,000 is an even composite number composed of six prime numbers multiplied together.
990171000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 990171000:
23 × 33 × 53 × 7 × 132 × 31
(2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 13 × 13 × 31)See below for interesting mathematical facts about the number 990171000 from the Numbermatics database.
Names of 990171000
- Cardinal: 990171000 can be written as Nine hundred ninety million, one hundred seventy-one thousand.
Scientific notation
- Scientific notation: 9.90171 × 108
Factors of 990171000
Divisors of 990171000
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 13 14 15 18 20 21 24 25 26 27 28 30 31 35 36 39 40 42 45 50 52 54 56 60 62 63 65 70 72 75 78 84 90 91 93 100 104 105 108 117 120 124 125 126 130 135 140 150 155 156 168 169 175 180 182 186 189 195 200 210 216 217 225 234 248 250 252 260 270 273 279 280 300 310 312 315 325 338 350 351 360 364 372 375 378 390 403 420 434 450 455 465 468 500 504 507 520 525 540 546 558 585 600 620 630 650 651 675 676 700 702 728 744 750 756 775 780 806 819 837 840 845 868 875 900 910 930 936 945 975 1000 1014 1050 1080 1085 1092 1116 1125 1170 1183 1209 1240 1260 1300 1302 1350 1352 1365 1395 1400 1404 1500 1512 1521 1550 1560 1575 1612 1625 1638 1674 1690 1736 1750 1755 1800 1820 1860 1890 1950 1953 2015 2028 2100 2170 2184 2232 2250 2275 2325 2340 2366 2418 2457 2520 2535 2600 2604 2625 2700 2730 2790 2808 2821 2925 3000 3042 3100 3150 3224 3250 3255 3276 3348 3375 3380 3500 3510 3549 3627 3640 3720 3780 3875 3900 3906 4030 4056 4095 4185 4200 4225 4340 4500 4550 4563 4650 4680 4725 4732 4836 4875 4914 5070 5208 5239 5250 5400 5425 5460 5580 5642 5850 5859 5915 6045 6084 6200 6300 6500 6510 6552 6696 6750 6760 6825 6975 7000 7020 7098 7254 7560 7605 7750 7800 7812 7875 8060 8190 8370 8450 8463 8680 8775 9000 9100 9126 9300 9450 9464 9672 9750 9765 9828 10075 10140 10478 10500 10647 10850 10881 10920 11160 11284 11375 11625 11700 11718 11830 12090 12168 12285 12600 12675 13000 13020 13500 13650 13950 14040 14105 14196 14508 14625 15210 15500 15624 15717 15750 16120 16275 16380 16740 16900 16926 17550 17745 18135 18200 18252 18600 18900 19500 19530 19656 20150 20280 20475 20925 20956 21000 21125 21294 21700 21762 22568 22750 22815 23250 23400 23436 23625 23660 24180 24570 25350 25389 26040 26195 27000 27125 27300 27900 28210 28392 29016 29250 29295 29575 30225 30420 31000 31434 31500 31941 32550 32760 33480 33800 33852 34125 34875 35100 35490 36270 36504 36673 37800 38025 39000 39060 40300 40950 41850 41912 42250 42315 42588 43400 43524 43875 45500 45630 46500 46872 47151 47250 47320 48360 48825 49140 50375 50700 50778 52390 53235 54250 54405 54600 55800 56420 58500 58590 59150 60450 60840 61425 62868 63000 63375 63882 65100 67704 68250 69750 70200 70525 70980 72540 73346 76050 76167 78120 78585 80600 81375 81900 83700 84500 84630 85176 87048 87750 88725 90675 91000 91260 93000 94302 94500 97650 98280 100750 101400 101556 102375 104625 104780 106470 108500 108810 110019 112840 114075 117000 117180 118300 120900 122850 125736 126750 126945 127764 130200 130975 136500 139500 141050 141453 141960 145080 146475 146692 147875 151125 152100 152334 157170 159705 162750 163800 167400 169000 169260 175500 177450 181350 182520 183365 188604 189000 190125 195300 201500 203112 204750 209250 209560 211575 212940 217000 217620 220038 228150 234360 235755 236600 241800 244125 245700 253500 253890 255528 261950 266175 272025 273000 279000 282100 282906 292950 293384 295750 302250 304200 304668 307125 314340 319410 325500 330057 338520 351000 352625 354900 362700 366730 377208 380250 380835 390600 392925 403000 409500 418500 423150 425880 435240 440076 443625 453375 456300 471510 488250 491400 507000 507780 523900 532350 544050 550095 564200 565812 570375 585900 591500 604500 609336 614250 628680 634725 638820 651000 654875 660114 705250 707265 709800 725400 732375 733460 760500 761670 785850 798525 819000 837000 846300 880152 887250 906750 912600 916825 943020 976500 990171 1015560 1047800 1057875 1064700 1088100 1100190 1131624 1140750 1171800 1178775 1183000 1209000 1228500 1269450 1277640 1309750 1320228 1330875 1360125 1410500 1414530 1464750 1466920 1521000 1523340 1571700 1597050 1650285 1692600 1774500 1813500 1833650 1886040 1904175 1953000 1964625 1980342 2115750 2129400 2176200 2200380 2281500 2357550 2457000 2538900 2619500 2640456 2661750 2720250 2750475 2821000 2829060 2929500 3046680 3143400 3173625 3194100 3300570 3536325 3549000 3627000 3667300 3808350 3929250 3960684 3992625 4231500 4400760 4563000 4584125 4715100 4950855 5077800 5239000 5323500 5440500 5500950 5658120 5859000 5893875 6347250 6388200 6601140 7072650 7334600 7616700 7858500 7921368 7985250 8251425 8463000 9168250 9430200 9520875 9901710 10647000 10881000 11001900 11787750 12694500 13202280 13752375 14145300 15233400 15717000 15970500 16502850 17681625 18336500 19041750 19803420 22003800 23575500 24754275 25389000 27504750 28290600 31941000 33005700 35363250 36673000 38083500 39606840 41257125 47151000 49508550 55009500 66011400 70726500 76167000 82514250 99017100 110019000 123771375 141453000 165028500 198034200 247542750 330057000 495085500 990171000
- Sum of all divisors σ(n): 4384972800
- Sum of proper divisors (its aliquot sum) s(n): 3394801800
- 990171000 is an abundant number, because the sum of its proper divisors (3394801800) is greater than itself. Its abundance is 2404630800
Bases of 990171000
- Binary: 1110110000010011001111011110002
- Hexadecimal: 0x3B04CF78
- Base-36: GDISU0
Squares and roots of 990171000
- 990171000 squared (9901710002) is 980438609241000000
- 990171000 cubed (9901710003) is 970801878150770211000000000
-
The
square root of 990171000 is 31466.9826961529 -
The
cube root of 990171000 is 996.7128733041
Scales and comparisons
How big is 990171000?- 990,171,000 seconds is equal to 31 years, 25 weeks, 1 day, 7 hours, 30 minutes.
-
To count from 1 to 990,171,000 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 990171000 cubic inches would be around 83.1 feet tall.
Recreational maths with 990171000
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