131688734320000000
131,688,734,320,000,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 131688734320000000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1584 divisors.
131688734320000000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, five hundred eighty-four divisors.
Prime factorization of 131688734320000000:
210 × 57 × 11 × 132 × 9412
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 11 × 13 × 13 × 941 × 941)See below for interesting mathematical facts about the number 131688734320000000 from the Numbermatics database.
Names of 131688734320000000
- Cardinal: 131688734320000000 can be written as One hundred thirty-one quadrillion, six hundred eighty-eight trillion, seven hundred thirty-four billion, three hundred twenty million.
Scientific notation
- Scientific notation: 1.3168873432 × 1017
Factors of 131688734320000000
Divisors of 131688734320000000
- Number of divisors d(n): 1584
-
Complete list of divisors:
1 2 4 5 8 10 11 13 16 20 22 25 26 32 40 44 50 52 55 64 65 80 88 100 104 110 125 128 130 143 160 169 176 200 208 220 250 256 260 275 286 320 325 338 352 400 416 440 500 512 520 550 572 625 640 650 676 704 715 800 832 845 880 941 1000 1024 1040 1100 1144 1250 1280 1300 1352 1375 1408 1430 1600 1625 1664 1690 1760 1859 1882 2000 2080 2200 2288 2500 2560 2600 2704 2750 2816 2860 3125 3200 3250 3328 3380 3520 3575 3718 3764 4000 4160 4225 4400 4576 4705 5000 5120 5200 5408 5500 5632 5720 6250 6400 6500 6656 6760 6875 7040 7150 7436 7528 8000 8125 8320 8450 8800 9152 9295 9410 10000 10351 10400 10816 11000 11264 11440 12233 12500 12800 13000 13312 13520 13750 14080 14300 14872 15056 15625 16000 16250 16640 16900 17600 17875 18304 18590 18820 20000 20702 20800 21125 21632 22000 22880 23525 24466 25000 25600 26000 27040 27500 28160 28600 29744 30112 31250 32000 32500 33280 33800 34375 35200 35750 36608 37180 37640 40000 40625 41404 41600 42250 43264 44000 45760 46475 47050 48932 50000 51755 52000 54080 55000 56320 57200 59488 60224 61165 62500 64000 65000 66560 67600 68750 70400 71500 73216 74360 75280 78125 80000 81250 82808 83200 84500 86528 88000 89375 91520 92950 94100 97864 100000 103510 104000 105625 108160 110000 114400 117625 118976 120448 122330 125000 128000 130000 134563 135200 137500 140800 143000 146432 148720 150560 156250 159029 160000 162500 165616 166400 169000 171875 173056 176000 178750 183040 185900 188200 195728 200000 203125 207020 208000 211250 216320 220000 228800 232375 235250 237952 240896 244660 250000 258775 260000 269126 270400 275000 281600 286000 297440 301120 305825 312500 318058 320000 325000 331232 332800 338000 343750 352000 357500 366080 371800 376400 391456 400000 406250 414040 416000 422500 432640 440000 446875 457600 464750 470500 475904 481792 489320 500000 517550 520000 528125 538252 540800 550000 572000 588125 594880 602240 611650 625000 636116 640000 650000 662464 672815 676000 687500 704000 715000 732160 743600 752800 782912 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184180048000000 187057861250000 194805820000000 202598052800000 205763647375000 210701974912000 230225060000000 239434062400000 253247566000000 257204559218750 263377468640000 299292578000000 316559457500000 329221835800000 374115722500000 389611640000000 405196105600000 411527294750000 460450120000000 478868124800000 506495132000000 514409118437500 526754937280000 598585156000000 633118915000000 658443671600000 748231445000000 779223280000000 823054589500000 920900240000000 1012990264000000 1028818236875000 1053509874560000 1197170312000000 1266237830000000 1316887343200000 1496462890000000 1646109179000000 2025980528000000 2057636473750000 2394340624000000 2532475660000000 2633774686400000 2992925780000000 3292218358000000 4115272947500000 5064951320000000 5267549372800000 5985851560000000 6584436716000000 8230545895000000 10129902640000000 11971703120000000 13168873432000000 16461091790000000 26337746864000000 32922183580000000 65844367160000000 131688734320000000
- Sum of all divisors σ(n): 389125889252751456
- Sum of proper divisors (its aliquot sum) s(n): 257437154932751456
- 131688734320000000 is an abundant number, because the sum of its proper divisors (257437154932751456) is greater than itself. Its abundance is 125748420612751456
Bases of 131688734320000000
- Binary: 1110100111101101000110100110001100001000001111100000000002
- Hexadecimal: 0x1D3DA34C6107C00
- Base-36: 100NRDDJRLDS
Squares and roots of 131688734320000000
- 131688734320000000 squared (1316887343200000002) is 17341922746803545862400000000000000
- 131688734320000000 cubed (1316887343200000003) is 2283735857201776780307528877568000000000000000000000
-
The
square root of 131688734320000000 is 362889424.3705649795 -
The
cube root of 131688734320000000 is 508763.8063588371
Scales and comparisons
How big is 131688734320000000?- 131,688,734,320,000,000 seconds is equal to 4,187,294,411 years, 19 weeks, 3 days, 17 hours, 46 minutes, 40 seconds.
-
To count from 1 to 131,688,734,320,000,000 would take you about twelve billion, five hundred sixty-one million, eight hundred eighty-three thousand, two hundred thirty-four 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 131688734320000000 cubic inches would be around 42397 feet tall.
Recreational maths with 131688734320000000
- 131688734320000000 backwards is 000000023437886131
- The number of decimal digits it has is: 18
- The sum of 131688734320000000's digits is 46
- More coming soon!
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The information we have on file for 131688734320000000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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