989116920
989,116,920 is an even composite number composed of five prime numbers multiplied together.
989116920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred thirty-two divisors.
Prime factorization of 989116920:
23 × 35 × 5 × 112 × 292
(2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 5 × 11 × 11 × 29 × 29)See below for interesting mathematical facts about the number 989116920 from the Numbermatics database.
Names of 989116920
- Cardinal: 989116920 can be written as Nine hundred eighty-nine million, one hundred sixteen thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 9.8911692 × 108
Factors of 989116920
Divisors of 989116920
- Number of divisors d(n): 432
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 29 30 33 36 40 44 45 54 55 58 60 66 72 81 87 88 90 99 108 110 116 120 121 132 135 145 162 165 174 180 198 216 220 232 242 243 261 264 270 290 297 319 324 330 348 360 363 396 405 435 440 484 486 495 522 540 580 594 605 638 648 660 696 726 783 792 810 841 870 891 957 968 972 990 1044 1080 1089 1160 1188 1210 1215 1276 1305 1320 1452 1485 1566 1595 1620 1682 1740 1782 1815 1914 1944 1980 2088 2178 2349 2376 2420 2430 2523 2552 2610 2673 2871 2904 2970 3132 3190 3240 3267 3364 3480 3509 3564 3630 3828 3915 3960 4205 4356 4455 4698 4785 4840 4860 5046 5220 5346 5445 5742 5940 6264 6380 6534 6728 7018 7047 7128 7260 7569 7656 7830 8410 8613 8712 8910 9251 9396 9570 9720 9801 10092 10440 10527 10692 10890 11484 11745 11880 12615 12760 13068 13365 14036 14094 14355 14520 15138 15660 16335 16820 17226 17545 17820 18502 18792 19140 19602 20184 21054 21384 21780 22707 22968 23490 25230 25839 26136 26730 27753 28072 28188 28710 29403 30276 31320 31581 32670 33640 34452 35090 35235 35640 37004 37845 38280 39204 42108 43065 43560 45414 46255 46980 49005 50460 51678 52635 53460 55506 56376 57420 58806 60552 63162 65340 68121 68904 70180 70470 74008 75690 77517 78408 83259 84216 86130 90828 92510 93960 94743 98010 100920 101761 103356 105270 106920 111012 113535 114840 117612 126324 129195 130680 136242 138765 140360 140940 147015 151380 155034 157905 166518 172260 181656 185020 189486 196020 203522 204363 206712 210540 222024 227070 235224 249777 252648 258390 272484 277530 281880 284229 294030 302760 305283 310068 315810 333036 340605 344520 370040 378972 387585 392040 407044 408726 416295 421080 454140 473715 499554 508805 516780 544968 555060 568458 588060 610566 620136 631620 666072 681210 749331 757944 775170 814088 817452 832590 852687 908280 915849 947430 999108 1017610 1021815 1033560 1110120 1136916 1176120 1221132 1248885 1263240 1362420 1421145 1498662 1526415 1550340 1634904 1665180 1705374 1831698 1894860 1998216 2035220 2043630 2247993 2273832 2442264 2497770 2724840 2747547 2842290 2997324 3052830 3100680 3330360 3410748 3663396 3746655 3789720 4070440 4087260 4263435 4495986 4579245 4995540 5495094 5684580 5994648 6105660 6821496 7326792 7493310 8174520 8242641 8526870 8991972 9158490 9991080 10990188 11239965 11369160 12211320 13737735 14986620 16485282 17053740 17983944 18316980 21980376 22479930 24727923 27475470 29973240 32970564 34107480 36633960 41213205 44959860 49455846 54950940 65941128 82426410 89919720 98911692 109901880 123639615 164852820 197823384 247279230 329705640 494558460 989116920
- Sum of all divisors σ(n): 3795016680
- Sum of proper divisors (its aliquot sum) s(n): 2805899760
- 989116920 is an abundant number, because the sum of its proper divisors (2805899760) is greater than itself. Its abundance is 1816782840
Bases of 989116920
- Binary: 1110101111010010111001111110002
- Hexadecimal: 0x3AF4B9F8
- Base-36: GCW7I0
Squares and roots of 989116920
- 989116920 squared (9891169202) is 978352281430286400
- 989116920 cubed (9891169203) is 967704795283298078685888000
-
The
square root of 989116920 is 31450.2292519467 -
The
cube root of 989116920 is 996.3590663573
Scales and comparisons
How big is 989116920?- 989,116,920 seconds is equal to 31 years, 23 weeks, 3 days, 2 hours, 42 minutes.
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To count from 1 to 989,116,920 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 989116920 cubic inches would be around 83 feet tall.
Recreational maths with 989116920
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