12001404638085120
12,001,404,638,085,120 is an even composite number composed of seven prime numbers multiplied together.
What does the number 12001404638085120 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
12001404638085120 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 12001404638085120:
214 × 32 × 5 × 31 × 43 × 73 × 4092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 31 × 43 × 73 × 409 × 409)See below for interesting mathematical facts about the number 12001404638085120 from the Numbermatics database.
Names of 12001404638085120
- Cardinal: 12001404638085120 can be written as Twelve quadrillion, one trillion, four hundred four billion, six hundred thirty-eight million, eighty-five thousand, one hundred twenty.
Scientific notation
- Scientific notation: 1.200140463808512 × 1016
Factors of 12001404638085120
Divisors of 12001404638085120
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 43 45 48 60 62 64 72 73 80 86 90 93 96 120 124 128 129 144 146 155 160 172 180 186 192 215 219 240 248 256 258 279 288 292 310 320 344 360 365 372 384 387 409 430 438 465 480 496 512 516 558 576 584 620 640 645 657 688 720 730 744 768 774 818 860 876 930 960 992 1024 1032 1095 1116 1152 1168 1227 1240 1280 1290 1314 1333 1376 1395 1440 1460 1488 1536 1548 1636 1720 1752 1860 1920 1935 1984 2045 2048 2064 2190 2232 2263 2304 2336 2454 2480 2560 2580 2628 2666 2752 2790 2880 2920 2976 3072 3096 3139 3272 3285 3440 3504 3681 3720 3840 3870 3968 3999 4090 4096 4128 4380 4464 4526 4608 4672 4908 4960 5120 5160 5256 5332 5504 5580 5760 5840 5952 6135 6144 6192 6278 6544 6570 6665 6789 6880 7008 7362 7440 7680 7740 7936 7998 8180 8192 8256 8760 8928 9052 9216 9344 9417 9816 9920 10240 10320 10512 10664 11008 11160 11315 11520 11680 11904 11997 12270 12288 12384 12556 12679 13088 13140 13330 13578 13760 14016 14724 14880 15360 15480 15695 15872 15996 16360 16384 16512 17520 17587 17856 18104 18405 18432 18688 18834 19632 19840 19995 20367 20480 20640 21024 21328 22016 22320 22630 23040 23360 23808 23994 24540 24576 24768 25112 25358 26176 26280 26660 27156 27520 28032 28251 29448 29760 29857 30720 30960 31390 31744 31992 32720 33024 33945 35040 35174 35712 36208 36810 36864 37376 37668 38037 39264 39680 39990 40734 40960 41280 42048 42656 44032 44640 45260 46080 46720 47085 47616 47988 49080 49152 49536 50224 50716 52352 52560 52761 53320 54312 55040 56064 56502 58896 59520 59714 59985 61440 61920 62780 63395 63488 63984 65440 66048 67890 70080 70348 71424 72416 73620 73728 74752 75336 76074 78528 79360 79980 81468 81920 82560 84096 85312 87935 88064 89280 89571 90520 92160 93440 94170 95232 95976 97309 98160 99072 100448 101432 101835 104704 105120 105522 106640 108624 110080 112128 113004 114111 117792 119040 119428 119970 122880 123840 125560 126790 126976 127968 130880 132096 135780 140160 140696 141255 142848 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75008778988032 77428417019904 82201401630720 83343087764480 93034144481280 93760973735040 96785521274880 100011705317376 125014631646720 129047361699840 133348940423168 139551216721920 150017557976064 164402803261440 166686175528960 187521947470080 193571042549760 200023410634752 250029263293440 266697880846336 279102433443840 300035115952128 333372351057920 375043894940160 387142085099520 400046821269504 500058526586880 600070231904256 666744702115840 750087789880320 800093642539008 1000117053173760 1200140463808512 1333489404231680 1500175579760640 2000234106347520 2400280927617024 3000351159521280 4000468212695040 6000702319042560 12001404638085120
- Sum of all divisors σ(n): 44655546939075072
- Sum of proper divisors (its aliquot sum) s(n): 32654142300989952
- 12001404638085120 is an abundant number, because the sum of its proper divisors (32654142300989952) is greater than itself. Its abundance is 20652737662904832
Bases of 12001404638085120
- Binary: 1010101010001100110110110001000100001001000000000000002
- Hexadecimal: 0x2AA336C4424000
- Base-36: 3A6556EFI80
Squares and roots of 12001404638085120
- 12001404638085120 squared (120014046380851202) is 144033713287051030169580365414400
- 12001404638085120 cubed (120014046380851203) is 1728606874683836608494873507686149632691273728000
-
The
square root of 12001404638085120 is 109550922.5797990255 -
The
cube root of 12001404638085120 is 228951.7809911597
Scales and comparisons
How big is 12001404638085120?- 12,001,404,638,085,120 seconds is equal to 381,607,544 years, 36 weeks, 6 days, 3 hours, 12 minutes.
-
To count from 1 to 12,001,404,638,085,120 would take you about one billion, one hundred forty-four million, eight hundred twenty-two thousand, six 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 12001404638085120 cubic inches would be around 19079.3 feet tall.
Recreational maths with 12001404638085120
- 12001404638085120 backwards is 02158083640410021
- 12001404638085120 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 12001404638085120's digits is 45
- More coming soon!
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Numbermatics. (2024). Number 12001404638085120 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/12001404638085120/
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The information we have on file for 12001404638085120 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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