130969440
130,969,440 is an even composite number composed of six prime numbers multiplied together.
130969440 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 130969440:
25 × 33 × 5 × 7 × 61 × 71
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 61 × 71)See below for interesting mathematical facts about the number 130969440 from the Numbermatics database.
Names of 130969440
- Cardinal: 130969440 can be written as One hundred thirty million, nine hundred sixty-nine thousand, four hundred forty.
Scientific notation
- Scientific notation: 1.3096944 × 108
Factors of 130969440
Divisors of 130969440
- Number of divisors d(n): 384
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 61 63 70 71 72 80 84 90 96 105 108 112 120 122 126 135 140 142 144 160 168 180 183 189 210 213 216 224 240 244 252 270 280 284 288 305 315 336 355 360 366 378 420 426 427 432 480 488 497 504 540 549 560 568 610 630 639 672 710 720 732 756 840 852 854 864 915 945 976 994 1008 1065 1080 1098 1120 1136 1220 1260 1278 1281 1420 1440 1464 1491 1512 1647 1680 1704 1708 1830 1890 1917 1952 1988 2016 2130 2135 2160 2196 2272 2440 2485 2520 2556 2562 2745 2840 2928 2982 3024 3195 3294 3360 3408 3416 3660 3780 3834 3843 3976 4260 4270 4320 4331 4392 4473 4880 4970 5040 5112 5124 5490 5680 5856 5964 6048 6390 6405 6588 6816 6832 7320 7455 7560 7668 7686 7952 8235 8520 8540 8662 8784 8946 9585 9760 9940 10080 10224 10248 10980 11360 11529 11928 12780 12810 12993 13176 13419 13664 14640 14910 15120 15336 15372 15904 16470 17040 17080 17324 17568 17892 19170 19215 19880 20448 20496 21655 21960 22365 23058 23856 25560 25620 25986 26352 26838 29280 29820 30240 30317 30672 30744 32940 34080 34160 34648 35784 38340 38430 38979 39760 40992 43310 43920 44730 46116 47712 51120 51240 51972 52704 53676 57645 59640 60634 61344 61488 64965 65880 67095 68320 69296 71568 76680 76860 77958 79520 86620 87840 89460 90951 92232 102240 102480 103944 107352 115290 116937 119280 121268 122976 129930 131760 134190 138592 143136 151585 153360 153720 155916 173240 178920 181902 184464 194895 204960 207888 214704 230580 233874 238560 242536 259860 263520 268380 272853 303170 306720 307440 311832 346480 357840 363804 368928 389790 415776 429408 454755 461160 467748 485072 519720 536760 545706 584685 606340 614880 623664 692960 715680 727608 779580 818559 909510 922320 935496 970144 1039440 1073520 1091412 1169370 1212680 1247328 1364265 1455216 1559160 1637118 1819020 1844640 1870992 2078880 2147040 2182824 2338740 2425360 2728530 2910432 3118320 3274236 3638040 3741984 4092795 4365648 4677480 4850720 5457060 6236640 6548472 7276080 8185590 8731296 9354960 10914120 13096944 14552160 16371180 18709920 21828240 26193888 32742360 43656480 65484720 130969440
- Sum of all divisors σ(n): 539965440
- Sum of proper divisors (its aliquot sum) s(n): 408996000
- 130969440 is an abundant number, because the sum of its proper divisors (408996000) is greater than itself. Its abundance is 278026560
Bases of 130969440
- Binary: 1111100111001101111011000002
- Hexadecimal: 0x7CE6F60
- Base-36: 25Z4O0
Squares and roots of 130969440
- 130969440 squared (1309694402) is 17152994213913600
- 130969440 cubed (1309694403) is 2246518046519504400384000
-
The
square root of 130969440 is 11444.1880445929 -
The
cube root of 130969440 is 507.8358119443
Scales and comparisons
How big is 130969440?- 130,969,440 seconds is equal to 4 years, 8 weeks, 3 days, 20 hours, 24 minutes.
-
To count from 1 to 130,969,440 would take you about six 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 130969440 cubic inches would be around 42.3 feet tall.
Recreational maths with 130969440
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