131193485920
131,193,485,920 is an even composite number composed of six prime numbers multiplied together.
What does the number 131193485920 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
131193485920 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 131193485920:
25 × 5 × 72 × 41 × 73 × 5591
(2 × 2 × 2 × 2 × 2 × 5 × 7 × 7 × 41 × 73 × 5591)See below for interesting mathematical facts about the number 131193485920 from the Numbermatics database.
Names of 131193485920
- Cardinal: 131193485920 can be written as One hundred thirty-one billion, one hundred ninety-three million, four hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3119348592 × 1011
Factors of 131193485920
Divisors of 131193485920
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 28 32 35 40 41 49 56 70 73 80 82 98 112 140 146 160 164 196 205 224 245 280 287 292 328 365 392 410 490 511 560 574 584 656 730 784 820 980 1022 1120 1148 1168 1312 1435 1460 1568 1640 1960 2009 2044 2296 2336 2555 2870 2920 2993 3280 3577 3920 4018 4088 4592 5110 5591 5740 5840 5986 6560 7154 7840 8036 8176 9184 10045 10220 11182 11480 11680 11972 14308 14965 16072 16352 17885 20090 20440 20951 22364 22960 23944 27955 28616 29930 32144 35770 39137 40180 40880 41902 44728 45920 47888 55910 57232 59860 64288 71540 78274 80360 81760 83804 89456 95776 104755 111820 114464 119720 143080 146657 156548 160720 167608 178912 195685 209510 223640 229231 239440 273959 286160 293314 313096 321440 335216 391370 408143 419020 447280 458462 478880 547918 572320 586628 626192 670432 733285 782740 816286 838040 894560 916924 1095836 1146155 1173256 1252384 1369795 1466570 1565480 1604617 1632572 1676080 1833848 2040715 2191672 2292310 2346512 2739590 2857001 2933140 3130960 3209234 3265144 3352160 3667696 4081430 4383344 4584620 4693024 5479180 5714002 5866280 6261920 6418468 6530288 7335392 8023085 8162860 8766688 9169240 10958360 11232319 11428004 11732560 12836936 13060576 14285005 16046170 16325720 16733863 18338480 19999007 21916720 22464638 22856008 23465120 25673872 28570010 32092340 32651440 33467726 36676960 39998014 43833440 44929276 45712016 51347744 56161595 57140020 64184680 65302880 66935452 79996028 83669315 89858552 91424032 99995035 112323190 114280040 117137041 128369360 133870904 159992056 167338630 179717104 199990070 224646380 228560080 234274082 256738720 267741808 319984112 334677260 359434208 399980140 449292760 457120160 468548164 535483616 585685205 639968224 669354520 799960280 819959287 898585520 937096328 1171370410 1338709040 1599920560 1639918574 1797171040 1874192656 2342740820 2677418080 3199841120 3279837148 3748385312 4099796435 4685481640 6559674296 8199592870 9370963280 13119348592 16399185740 18741926560 26238697184 32798371480 65596742960 131193485920
- Sum of all divisors σ(n): 374468101056
- Sum of proper divisors (its aliquot sum) s(n): 243274615136
- 131193485920 is an abundant number, because the sum of its proper divisors (243274615136) is greater than itself. Its abundance is 112081129216
Bases of 131193485920
- Binary: 11110100010111011110110111010011000002
- Hexadecimal: 0x1E8BBDBA60
- Base-36: 1O9P7PLS
Squares and roots of 131193485920
- 131193485920 squared (1311934859202) is 17211730747841238246400
- 131193485920 cubed (1311934859203) is 2258066955525740560274443890688000
-
The
square root of 131193485920 is 362206.4134164385 -
The
cube root of 131193485920 is 5081.2522735811
Scales and comparisons
How big is 131193485920?- 131,193,485,920 seconds is equal to 4,171 years, 28 weeks, 3 days, 2 hours, 58 minutes, 40 seconds.
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To count from 1 to 131,193,485,920 would take you about eight thousand, three hundred forty-three 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 131193485920 cubic inches would be around 423.4 feet tall.
Recreational maths with 131193485920
- 131193485920 backwards is 029584391131
- The number of decimal digits it has is: 12
- The sum of 131193485920's digits is 46
- More coming soon!
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