45131829120000
45,131,829,120,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 45131829120000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2640 divisors.
45131829120000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, six hundred forty divisors.
Prime factorization of 45131829120000:
210 × 32 × 54 × 7 × 23 × 41 × 1187
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 23 × 41 × 1187)See below for interesting mathematical facts about the number 45131829120000 from the Numbermatics database.
Names of 45131829120000
- Cardinal: 45131829120000 can be written as Forty-five trillion, one hundred thirty-one billion, eight hundred twenty-nine million, one hundred twenty thousand.
Scientific notation
- Scientific notation: 4.513182912 × 1013
Factors of 45131829120000
Divisors of 45131829120000
- Number of divisors d(n): 2640
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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 23 24 25 28 30 32 35 36 40 41 42 45 46 48 50 56 60 63 64 69 70 72 75 80 82 84 90 92 96 100 105 112 115 120 123 125 126 128 138 140 144 150 160 161 164 168 175 180 184 192 200 205 207 210 224 225 230 240 246 250 252 256 276 280 287 288 300 315 320 322 328 336 345 350 360 368 369 375 384 400 410 414 420 448 450 460 480 483 492 500 504 512 525 552 560 574 575 576 600 615 625 630 640 644 656 672 690 700 720 736 738 750 768 800 805 820 828 840 861 875 896 900 920 943 960 966 984 1000 1008 1024 1025 1035 1050 1104 1120 1125 1148 1150 1152 1187 1200 1230 1250 1260 1280 1288 1312 1344 1380 1400 1435 1440 1449 1472 1476 1500 1536 1575 1600 1610 1640 1656 1680 1722 1725 1750 1792 1800 1840 1845 1875 1886 1920 1932 1968 2000 2016 2050 2070 2100 2208 2240 2250 2296 2300 2304 2374 2400 2415 2460 2500 2520 2560 2576 2583 2624 2625 2688 2760 2800 2829 2870 2875 2880 2898 2944 2952 3000 3072 3075 3150 3200 3220 3280 3312 3360 3444 3450 3500 3561 3584 3600 3680 3690 3750 3772 3840 3864 3936 4000 4025 4032 4100 4140 4200 4305 4375 4416 4480 4500 4592 4600 4608 4715 4748 4800 4830 4920 5000 5040 5120 5125 5152 5166 5175 5248 5250 5376 5520 5600 5625 5658 5740 5750 5760 5796 5888 5904 5935 6000 6150 6300 6400 6440 6560 6601 6624 6720 6888 6900 7000 7122 7168 7175 7200 7245 7360 7380 7500 7544 7680 7728 7872 7875 8000 8050 8064 8200 8280 8309 8400 8487 8610 8625 8750 8832 8960 9000 9184 9200 9216 9225 9430 9496 9600 9660 9840 10000 10080 10250 10304 10332 10350 10496 10500 10683 10752 11040 11200 11250 11316 11480 11500 11520 11592 11776 11808 11870 12000 12075 12300 12600 12800 12880 12915 13120 13125 13202 13248 13440 13776 13800 14000 14145 14244 14350 14375 14400 14490 14720 14760 15000 15088 15360 15375 15456 15744 15750 16000 16100 16128 16400 16560 16618 16800 16974 17220 17250 17500 17664 17805 17920 18000 18368 18400 18450 18860 18992 19200 19320 19680 19803 20000 20125 20160 20500 20608 20664 20700 20992 21000 21366 21504 21525 22080 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183462720000 188049288000 196225344000 200585907200 201481380000 214913472000 218028160000 220155264000 225659145600 235061610000 245281680000 250732384000 257896166400 268641840000 275194080000 280321920000 282073932000 300878860800 313415480000 322370208000 327042240000 352592415000 358189120000 361054632960 366925440000 376098576000 392450688000 402962760000 429826944000 451318291200 470123220000 490563360000 501464768000 537283680000 550388160000 564147864000 601757721600 626830960000 644740416000 654084480000 705184830000 716378240000 752197152000 805925520000 902636582400 940246440000 981126720000 1002929536000 1074567360000 1100776320000 1128295728000 1253661920000 1289480832000 1410369660000 1504394304000 1611851040000 1805273164800 1880492880000 1962253440000 2149134720000 2256591456000 2507323840000 2820739320000 3008788608000 3223702080000 3760985760000 4513182912000 5014647680000 5641478640000 6447404160000 7521971520000 9026365824000 11282957280000 15043943040000 22565914560000 45131829120000
- Sum of all divisors σ(n): 199103634842112
- Sum of proper divisors (its aliquot sum) s(n): 153971805722112
- 45131829120000 is an abundant number, because the sum of its proper divisors (153971805722112) is greater than itself. Its abundance is 108839976602112
Bases of 45131829120000
- Binary: 10100100001100000100101010010010001100000000002
- Hexadecimal: 0x290C12A48C00
- Base-36: FZX9XSE80
Squares and roots of 45131829120000
- 45131829120000 squared (451318291200002) is 2036881999716879974400000000
- 45131829120000 cubed (451318291200003) is 91928210348826115384170774528000000000000
-
The
square root of 45131829120000 is 6718022.7091012425 -
The
cube root of 45131829120000 is 35603.6326722707
Scales and comparisons
How big is 45131829120000?- 45,131,829,120,000 seconds is equal to 1,435,052 years, 29 weeks, 2 days, 8 hours.
-
To count from 1 to 45,131,829,120,000 would take you about three million, five hundred eighty-seven thousand, six hundred thirty-one 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 45131829120000 cubic inches would be around 2967 feet tall.
Recreational maths with 45131829120000
- 45131829120000 backwards is 00002192813154
- 45131829120000 is a
Harshad number . - The number of decimal digits it has is: 14
- The sum of 45131829120000's digits is 36
- More coming soon!
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"Number 45131829120000 - Facts about the integer". Numbermatics.com. 2024. Web. 27 April 2024.
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Numbermatics. (2024). Number 45131829120000 - Facts about the integer. Retrieved 27 April 2024, from https://numbermatics.com/n/45131829120000/
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The information we have on file for 45131829120000 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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