106442103997900800
106,442,103,997,900,800 is an even composite number composed of five prime numbers multiplied together.
106442103997900800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, three hundred four divisors.
Prime factorization of 106442103997900800:
211 × 37 × 52 × 31 × 3133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 5 × 31 × 313 × 313 × 313)See below for interesting mathematical facts about the number 106442103997900800 from the Numbermatics database.
Names of 106442103997900800
- Cardinal: 106442103997900800 can be written as One hundred six quadrillion, four hundred forty-two trillion, one hundred three billion, nine hundred ninety-seven million, nine hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 1.064421039979008 × 1017
Factors of 106442103997900800
Divisors of 106442103997900800
- Number of divisors d(n): 2304
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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 31 32 36 40 45 48 50 54 60 62 64 72 75 80 81 90 93 96 100 108 120 124 128 135 144 150 155 160 162 180 186 192 200 216 225 240 243 248 256 270 279 288 300 310 313 320 324 360 372 384 400 405 432 450 465 480 486 496 512 540 558 576 600 620 626 640 648 675 720 729 744 768 775 800 810 837 864 900 930 939 960 972 992 1024 1080 1116 1152 1200 1215 1240 1252 1280 1296 1350 1395 1440 1458 1488 1536 1550 1565 1600 1620 1674 1728 1800 1860 1878 1920 1944 1984 2025 2048 2160 2187 2232 2304 2325 2400 2430 2480 2504 2511 2560 2592 2700 2790 2817 2880 2916 2976 3072 3100 3130 3200 3240 3348 3456 3600 3645 3720 3756 3840 3888 3968 4050 4185 4320 4374 4464 4608 4650 4695 4800 4860 4960 5008 5022 5120 5184 5400 5580 5634 5760 5832 5952 6075 6144 6200 6260 6400 6480 6696 6912 6975 7200 7290 7440 7512 7533 7680 7776 7825 7936 8100 8370 8451 8640 8748 8928 9216 9300 9390 9600 9703 9720 9920 10016 10044 10240 10368 10800 10935 11160 11268 11520 11664 11904 12150 12400 12520 12555 12800 12960 13392 13824 13950 14085 14400 14580 14880 15024 15066 15360 15552 15650 15872 16200 16740 16902 17280 17496 17856 18225 18432 18600 18780 19200 19406 19440 19840 20032 20088 20736 20925 21600 21870 22320 22536 22599 23040 23328 23475 23808 24300 24800 25040 25110 25353 25600 25920 26784 27648 27900 28170 28800 29109 29160 29760 30048 30132 30720 31104 31300 31744 32400 33480 33804 34560 34992 35712 36450 37200 37560 37665 38400 38812 38880 39680 40064 40176 41472 41850 42255 43200 43740 44640 45072 45198 46080 46656 46950 47616 48515 48600 49600 50080 50220 50706 51200 51840 53568 54675 55296 55800 56340 57600 58218 58320 59520 60096 60264 62208 62600 62775 63488 64800 66960 67608 67797 69120 69984 70425 71424 72900 74400 75120 75330 76059 76800 77624 77760 79360 80128 80352 82944 83700 84510 86400 87327 87480 89280 90144 90396 92160 93312 93900 95232 97030 97200 97969 99200 100160 100440 101412 103680 107136 109350 111600 112680 112995 115200 116436 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14130108057600 14169609158400 14306734408320 14601111659520 14783625555264 15260516702208 15399609953400 15896371564800 16426250616960 16631578749672 17003530990080 17168081289984 17324561197575 17521333991424 17883418010400 18251389574400 18479531944080 18892812211200 19075645877760 19711500740352 20532813271200 20789473437090 21195162086400 21254413737600 21460101612480 21901667489280 22175438332896 22671374653440 22890775053312 23099414930100 23844557347200 24335186099200 24639375925440 25434194503680 26282000987136 26825127015600 27377084361600 27719297916120 28339218316800 28613468816640 29202223319040 29567251110528 30799219906800 31792743129600 32852501233920 33263157499344 34007061980160 34336162579968 34649122395150 35766836020800 36502779148800 36959063888160 37785624422400 38151291755520 39423001480704 41065626542400 41578946874180 42390324172800 42508827475200 42920203224960 43803334978560 44350876665792 45781550106624 46198829860200 47689114694400 48670372198400 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277192979161200 286134688166400 295672511105280 328525012339200 332631574993440 340070619801600 343361625799680 354807013326336 369590638881600 381512917555200 394230014807040 415789468741800 429202032249600 438033349785600 443508766657920 473076017768448 492787518508800 532210519989504 554385958322400 572269376332800 591345022210560 657050024678400 665263149986880 686723251599360 709614026652672 739181277763200 788460029614080 831578937483600 858404064499200 887017533315840 985575037017600 1064421039979008 1108771916644800 1144538752665600 1182690044421120 1314100049356800 1330526299973760 1419228053305344 1478362555526400 1663157874967200 1716808128998400 1774035066631680 1971150074035200 2128842079958016 2217543833289600 2365380088842240 2661052599947520 2956725111052800 3326315749934400 3433616257996800 3548070133263360 3942300148070400 4257684159916032 4435087666579200 5322105199895040 5913450222105600 6652631499868800 7096140266526720 8870175333158400 10644210399790080 11826900444211200 13305262999737600 17740350666316800 21288420799580160 26610525999475200 35480701332633600 53221051998950400 106442103997900800
- Sum of all divisors σ(n): 409885144171776000
- Sum of proper divisors (its aliquot sum) s(n): 303443040173875200
- 106442103997900800 is an abundant number, because the sum of its proper divisors (303443040173875200) is greater than itself. Its abundance is 197000936175974400
Bases of 106442103997900800
- Binary: 1011110100010100010000111100101011111000010101000000000002
- Hexadecimal: 0x17A288795F0A800
- Base-36: T42KRIQO000
Squares and roots of 106442103997900800
- 106442103997900800 squared (1064421039979008002) is 11329921503499929470570806640640000
- 106442103997900800 cubed (1064421039979008003) is 1205980682963592085479015687862271269259968512000000
-
The
square root of 106442103997900800 is 326254661.2661661267 -
The
cube root of 106442103997900800 is 473919.3961671057
Scales and comparisons
How big is 106442103997900800?- 106,442,103,997,900,800 seconds is equal to 3,384,529,660 years, 4 weeks, 4 days.
-
To count from 1 to 106,442,103,997,900,800 would take you about ten billion, one hundred fifty-three million, five hundred eighty-eight thousand, nine hundred eighty 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 106442103997900800 cubic inches would be around 39493.3 feet tall.
Recreational maths with 106442103997900800
- 106442103997900800 backwards is 008009799301244601
- The number of decimal digits it has is: 18
- The sum of 106442103997900800's digits is 63
- More coming soon!
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"Number 106442103997900800 - Facts about the integer". Numbermatics.com. 2024. Web. 26 May 2024.
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Numbermatics. (2024). Number 106442103997900800 - Facts about the integer. Retrieved 26 May 2024, from https://numbermatics.com/n/106442103997900800/
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The information we have on file for 106442103997900800 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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