131281920
131,281,920 is an even composite number composed of six prime numbers multiplied together.
131281920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of five hundred twenty-eight divisors.
Prime factorization of 131281920:
210 × 32 × 5 × 7 × 11 × 37
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 7 × 11 × 37)See below for interesting mathematical facts about the number 131281920 from the Numbermatics database.
Names of 131281920
- Cardinal: 131281920 can be written as One hundred thirty-one million, two hundred eighty-one thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3128192 × 108
Factors of 131281920
Divisors of 131281920
- Number of divisors d(n): 528
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 18 20 21 22 24 28 30 32 33 35 36 37 40 42 44 45 48 55 56 60 63 64 66 70 72 74 77 80 84 88 90 96 99 105 110 111 112 120 126 128 132 140 144 148 154 160 165 168 176 180 185 192 198 210 220 222 224 231 240 252 256 259 264 280 288 296 308 315 320 330 333 336 352 360 370 384 385 396 407 420 440 444 448 462 480 495 504 512 518 528 555 560 576 592 616 630 640 660 666 672 693 704 720 740 768 770 777 792 814 840 880 888 896 924 960 990 1008 1024 1036 1056 1110 1120 1152 1155 1184 1221 1232 1260 1280 1295 1320 1332 1344 1386 1408 1440 1480 1536 1540 1554 1584 1628 1665 1680 1760 1776 1792 1848 1920 1980 2016 2035 2072 2112 2220 2240 2304 2310 2331 2368 2442 2464 2520 2560 2590 2640 2664 2688 2772 2816 2849 2880 2960 3072 3080 3108 3168 3256 3330 3360 3465 3520 3552 3584 3663 3696 3840 3885 3960 4032 4070 4144 4224 4440 4480 4608 4620 4662 4736 4884 4928 5040 5120 5180 5280 5328 5376 5544 5632 5698 5760 5920 6105 6160 6216 6336 6512 6660 6720 6930 7040 7104 7168 7326 7392 7680 7770 7920 8064 8140 8288 8448 8547 8880 8960 9216 9240 9324 9472 9768 9856 10080 10360 10560 10656 10752 11088 11264 11396 11520 11655 11840 12210 12320 12432 12672 13024 13320 13440 13860 14080 14208 14245 14652 14784 15360 15540 15840 16128 16280 16576 16896 17094 17760 17920 18315 18480 18648 18944 19536 19712 20160 20720 21120 21312 21504 22176 22792 23040 23310 23680 24420 24640 24864 25344 25641 26048 26640 26880 27720 28160 28416 28490 29304 29568 31080 31680 32256 32560 33152 33792 34188 35520 35840 36630 36960 37296 37888 39072 39424 40320 41440 42240 42624 42735 44352 45584 46080 46620 47360 48840 49280 49728 50688 51282 52096 53280 53760 55440 56320 56832 56980 58608 59136 62160 63360 64512 65120 66304 68376 71040 73260 73920 74592 78144 78848 80640 82880 84480 85248 85470 88704 91168 93240 94720 97680 98560 99456 101376 102564 104192 106560 107520 110880 113664 113960 117216 118272 124320 126720 128205 130240 132608 136752 142080 146520 147840 149184 156288 161280 165760 168960 170496 170940 177408 182336 186480 189440 195360 197120 198912 205128 208384 213120 221760 227920 234432 236544 248640 253440 256410 260480 265216 273504 284160 293040 295680 298368 312576 322560 331520 340992 341880 354816 364672 372960 390720 394240 397824 410256 416768 426240 443520 455840 468864 497280 506880 512820 520960 547008 568320 586080 591360 596736 625152 663040 683760 709632 729344 745920 781440 795648 820512 852480 887040 911680 937728 994560 1025640 1041920 1094016 1172160 1182720 1193472 1250304 1326080 1367520 1458688 1491840 1562880 1641024 1704960 1774080 1823360 1875456 1989120 2051280 2083840 2188032 2344320 2386944 2735040 2917376 2983680 3125760 3282048 3548160 3646720 3750912 3978240 4102560 4376064 4688640 5470080 5967360 6251520 6564096 7293440 8205120 8752128 9377280 10940160 11934720 13128192 14586880 16410240 18754560 21880320 26256384 32820480 43760640 65640960 131281920
- Sum of all divisors σ(n): 582461568
- Sum of proper divisors (its aliquot sum) s(n): 451179648
- 131281920 is an abundant number, because the sum of its proper divisors (451179648) is greater than itself. Its abundance is 319897728
Bases of 131281920
- Binary: 1111101001100110100000000002
- Hexadecimal: 0x7D33400
- Base-36: 265TS0
Squares and roots of 131281920
- 131281920 squared (1312819202) is 17234942518886400
- 131281920 cubed (1312819203) is 2262636344969042853888000
-
The
square root of 131281920 is 11457.8322557105 -
The
cube root of 131281920 is 508.2393730005
Scales and comparisons
How big is 131281920?- 131,281,920 seconds is equal to 4 years, 9 weeks, 11 hours, 12 minutes.
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To count from 1 to 131,281,920 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 131281920 cubic inches would be around 42.4 feet tall.
Recreational maths with 131281920
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