45388980
45,388,980 is an even composite number composed of seven prime numbers multiplied together.
45388980 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 45388980:
22 × 32 × 5 × 7 × 13 × 17 × 163
(2 × 2 × 3 × 3 × 5 × 7 × 13 × 17 × 163)See below for interesting mathematical facts about the number 45388980 from the Numbermatics database.
Names of 45388980
- Cardinal: 45388980 can be written as Forty-five million, three hundred eighty-eight thousand, nine hundred eighty.
Scientific notation
- Scientific notation: 4.538898 × 107
Factors of 45388980
Divisors of 45388980
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 7 9 10 12 13 14 15 17 18 20 21 26 28 30 34 35 36 39 42 45 51 52 60 63 65 68 70 78 84 85 90 91 102 105 117 119 126 130 140 153 156 163 170 180 182 195 204 210 221 234 238 252 255 260 273 306 315 326 340 357 364 390 420 442 455 468 476 489 510 546 585 595 612 630 652 663 714 765 780 815 819 884 910 978 1020 1071 1092 1105 1141 1170 1190 1260 1326 1365 1428 1467 1530 1547 1630 1638 1785 1820 1956 1989 2119 2142 2210 2282 2340 2380 2445 2652 2730 2771 2934 3060 3094 3260 3276 3315 3423 3570 3978 4095 4238 4284 4420 4564 4641 4890 5355 5460 5542 5705 5868 6188 6357 6630 6846 7140 7335 7735 7956 8190 8313 8476 9282 9780 9945 10269 10595 10710 11084 11410 12714 13260 13692 13855 13923 14670 14833 15470 16380 16626 17115 18564 19071 19397 19890 20538 21190 21420 22820 23205 24939 25428 27710 27846 29340 29666 30940 31785 33252 34230 36023 38142 38794 39780 41076 41565 42380 44499 46410 49878 51345 55420 55692 58191 59332 63570 68460 69615 72046 74165 76284 77588 83130 88998 92820 95355 96985 99756 102690 108069 116382 124695 127140 133497 139230 144092 148330 166260 174573 177996 180115 190710 193970 205380 216138 222495 232764 249390 252161 266994 278460 290955 296660 324207 349146 360230 381420 387940 432276 444990 498780 504322 533988 540345 581910 648414 667485 698292 720460 756483 872865 889980 1008644 1080690 1163820 1260805 1296828 1334970 1512966 1621035 1745730 2161380 2269449 2521610 2669940 3025932 3242070 3491460 3782415 4538898 5043220 6484140 7564830 9077796 11347245 15129660 22694490 45388980
- Sum of all divisors σ(n): 180520704
- Sum of proper divisors (its aliquot sum) s(n): 135131724
- 45388980 is an abundant number, because the sum of its proper divisors (135131724) is greater than itself. Its abundance is 89742744
Bases of 45388980
- Binary: 101011010010010100101101002
- Hexadecimal: 0x2B494B4
- Base-36: R0UD0
Squares and roots of 45388980
- 45388980 squared (453889802) is 2060159505440400
- 45388980 cubed (453889803) is 93508538589244206792000
-
The
square root of 45388980 is 6737.1344056655 -
The
cube root of 45388980 is 356.7112511109
Scales and comparisons
How big is 45388980?- 45,388,980 seconds is equal to 1 year, 23 weeks, 8 hours, 3 minutes.
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To count from 1 to 45,388,980 would take you about two 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 45388980 cubic inches would be around 29.7 feet tall.
Recreational maths with 45388980
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