106445100672000
106,445,100,672,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 106445100672000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 2112 divisors.
106445100672000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, one hundred twelve divisors.
Prime factorization of 106445100672000:
210 × 33 × 53 × 472 × 73 × 191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 47 × 47 × 73 × 191)See below for interesting mathematical facts about the number 106445100672000 from the Numbermatics database.
Names of 106445100672000
- Cardinal: 106445100672000 can be written as One hundred six trillion, four hundred forty-five billion, one hundred million, six hundred seventy-two thousand.
Scientific notation
- Scientific notation: 1.06445100672 × 1014
Factors of 106445100672000
Divisors of 106445100672000
- Number of divisors d(n): 2112
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 47 48 50 54 60 64 72 73 75 80 90 94 96 100 108 120 125 128 135 141 144 146 150 160 180 188 191 192 200 216 219 225 235 240 250 256 270 282 288 292 300 320 360 365 375 376 382 384 400 423 432 438 450 470 480 500 512 540 564 573 576 584 600 640 657 675 705 720 730 750 752 764 768 800 846 864 876 900 940 955 960 1000 1024 1080 1095 1125 1128 1146 1152 1168 1175 1200 1269 1280 1314 1350 1410 1440 1460 1500 1504 1528 1536 1600 1692 1719 1728 1752 1800 1825 1880 1910 1920 1971 2000 2115 2160 2190 2209 2250 2256 2292 2304 2336 2350 2400 2538 2560 2628 2700 2820 2865 2880 2920 3000 3008 3056 3072 3200 3285 3375 3384 3431 3438 3456 3504 3525 3600 3650 3760 3820 3840 3942 4000 4230 4320 4380 4418 4500 4512 4584 4608 4672 4700 4775 4800 5076 5120 5157 5256 5400 5475 5640 5730 5760 5840 5875 6000 6016 6112 6345 6400 6570 6627 6750 6768 6862 6876 6912 7008 7050 7200 7300 7520 7640 7680 7884 8000 8460 8595 8640 8760 8836 8977 9000 9024 9125 9168 9216 9344 9400 9550 9600 9855 10152 10293 10314 10512 10575 10800 10950 11045 11280 11460 11520 11680 11750 12000 12032 12224 12690 12800 13140 13254 13500 13536 13724 13752 13824 13943 14016 14100 14325 14400 14600 15040 15280 15360 15768 16000 16425 16920 17155 17190 17280 17520 17625 17672 17954 18000 18048 18250 18336 18688 18800 19100 19200 19710 19881 20304 20586 20628 21024 21150 21600 21900 22090 22560 22920 23040 23360 23500 23875 24000 24064 24448 25380 25600 25785 26280 26508 26931 27000 27072 27375 27448 27504 27648 27886 28032 28200 28650 28800 29200 30080 30560 30879 31536 31725 32000 32850 33135 33840 34310 34380 34560 35040 35250 35344 35908 36000 36096 36500 36672 37376 37600 38200 38400 39420 39762 40608 41172 41256 41829 42048 42300 42975 43200 43800 44180 44885 45120 45840 46080 46720 47000 47750 48000 48128 48896 49275 50760 51465 51570 52560 52875 53016 53862 54000 54144 54750 54896 55008 55225 55772 56064 56400 57300 57600 58400 59643 60160 61120 61758 63072 63450 64000 65700 66270 67680 68620 68760 69120 69715 70080 70500 70688 71625 71816 72000 72192 73000 73344 74752 75200 76400 76800 78840 79524 80793 81216 82125 82344 82512 83658 84096 84600 85775 85950 86400 87600 88360 89770 90240 91680 92637 93440 94000 95500 96000 97792 98550 99405 101520 102930 103140 105120 105750 106032 107724 108000 108288 109500 109792 110016 110450 111544 112128 112800 114600 115200 116800 119286 120320 122240 123516 125487 126144 126900 128000 128925 131400 132540 134655 135360 137240 137520 138240 139430 140160 141000 141376 143250 143632 144000 144384 146000 146688 150400 152800 154395 157680 158625 159048 161257 161586 162432 164250 164688 165024 165675 167316 168192 169200 171550 171900 172800 175200 176720 179540 180480 183360 185274 186880 188000 191000 192000 195584 197100 198810 203040 205860 206280 209145 210240 211500 212064 214875 215448 216000 216576 219000 219584 220032 220900 223088 224256 224425 225600 229200 230400 233600 238572 240640 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35481700224000 53222550336000 106445100672000
- Sum of all divisors σ(n): 409606594375680
- Sum of proper divisors (its aliquot sum) s(n): 303161493703680
- 106445100672000 is an abundant number, because the sum of its proper divisors (303161493703680) is greater than itself. Its abundance is 196716393031680
Bases of 106445100672000
- Binary: 110000011001111101011100110100111100100000000002
- Hexadecimal: 0x60CFAE69E400
- Base-36: 11QC7CLXC0
Squares and roots of 106445100672000
- 106445100672000 squared (1064451006720002) is 11330559457072214851584000000
- 106445100672000 cubed (1064451006720003) is 1206082542078133572250872418664448000000000
-
The
square root of 106445100672000 is 10317223.4962706899 -
The
cube root of 106445100672000 is 47392.3843557123
Scales and comparisons
How big is 106445100672000?- 106,445,100,672,000 seconds is equal to 3,384,624 years, 49 weeks, 1 day.
-
To count from 1 to 106,445,100,672,000 would take you about eight million, four hundred sixty-one thousand, five hundred sixty-two 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 106445100672000 cubic inches would be around 3949.4 feet tall.
Recreational maths with 106445100672000
- 106445100672000 backwards is 000276001544601
- 106445100672000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 106445100672000's digits is 36
- More coming soon!
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Cite this page
MLA style:
"Number 106445100672000 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 106445100672000 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/106445100672000/
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The information we have on file for 106445100672000 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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