107213821290086400
107,213,821,290,086,400 is an even composite number composed of five prime numbers multiplied together.
What does the number 107213821290086400 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2160 divisors.
107213821290086400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 107213821290086400:
217 × 34 × 52 × 43 × 2113
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 43 × 211 × 211 × 211)See below for interesting mathematical facts about the number 107213821290086400 from the Numbermatics database.
Names of 107213821290086400
- Cardinal: 107213821290086400 can be written as One hundred seven quadrillion, two hundred thirteen trillion, eight hundred twenty-one billion, two hundred ninety million, eighty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.072138212900864 × 1017
Factors of 107213821290086400
Divisors of 107213821290086400
- 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 25 27 30 32 36 40 43 45 48 50 54 60 64 72 75 80 81 86 90 96 100 108 120 128 129 135 144 150 160 162 172 180 192 200 211 215 216 225 240 256 258 270 288 300 320 324 344 360 384 387 400 405 422 430 432 450 480 512 516 540 576 600 633 640 645 648 675 688 720 768 774 800 810 844 860 864 900 960 1024 1032 1055 1075 1080 1152 1161 1200 1266 1280 1290 1296 1350 1376 1440 1536 1548 1600 1620 1688 1720 1728 1800 1899 1920 1935 2025 2048 2064 2110 2150 2160 2304 2322 2400 2532 2560 2580 2592 2700 2752 2880 3072 3096 3165 3200 3225 3240 3376 3440 3456 3483 3600 3798 3840 3870 4050 4096 4128 4220 4300 4320 4608 4644 4800 5064 5120 5160 5184 5275 5400 5504 5697 5760 5805 6144 6192 6330 6400 6450 6480 6752 6880 6912 6966 7200 7596 7680 7740 8100 8192 8256 8440 8600 8640 9073 9216 9288 9495 9600 9675 10128 10240 10320 10368 10550 10800 11008 11394 11520 11610 12288 12384 12660 12800 12900 12960 13504 13760 13824 13932 14400 15192 15360 15480 15825 16200 16384 16512 16880 17091 17200 17280 17415 18146 18432 18576 18990 19200 19350 20256 20480 20640 20736 21100 21600 22016 22788 23040 23220 24576 24768 25320 25600 25800 25920 27008 27219 27520 27648 27864 28485 28800 29025 30384 30720 30960 31650 32400 32768 33024 33760 34182 34400 34560 34830 36292 36864 37152 37980 38400 38700 40512 40960 41280 41472 42200 43200 44032 44521 45365 45576 46080 46440 47475 49152 49536 50640 51200 51600 51840 54016 54438 55040 55296 55728 56970 57600 58050 60768 61440 61920 63300 64800 65536 66048 67520 68364 68800 69120 69660 72584 73728 74304 75960 76800 77400 81024 81657 81920 82560 82944 84400 85455 86400 87075 88064 89042 90730 91152 92160 92880 94950 98304 99072 101280 102400 103200 103680 108032 108876 110080 110592 111456 113940 115200 116100 121536 122880 123840 126600 129600 131072 132096 133563 135040 136095 136728 137600 138240 139320 142425 145168 147456 148608 151920 153600 154800 162048 163314 163840 165120 165888 168800 170910 172800 174150 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83111489372160 83760797882880 84687062630400 89344851075072 92346099302400 93067553203200 99272056750080 99733787246592 101624475156480 103889361715200 104700997353600 111681063843840 119126468100096 124090070937600 124667234058240 127030593945600 132362742333440 134017276612608 138519148953600 139601329804800 148908085125120 155834042572800 158835290800128 165453427916800 166222978744320 167521595765760 169374125260800 178689702150144 186135106406400 198544113500160 207778723430400 209401994707200 223362127687680 238252936200192 248180141875200 249334468116480 254061187891200 264725484666880 268034553225216 277038297907200 279202659609600 297816170250240 311668085145600 330906855833600 335043191531520 357379404300288 372270212812800 397088227000320 415557446860800 418803989414400 446724255375360 476505872400384 496360283750400 498668936232960 508122375782400 536069106450432 558405319219200 595632340500480 623336170291200 661813711667200 670086383063040 714758808600576 744540425625600 794176454000640 831114893721600 837607978828800 893448510750720 992720567500800 1072138212900864 1116810638438400 1191264681000960 1246672340582400 1323627423334400 1340172766126080 1429517617201152 1489080851251200 1675215957657600 1786897021501440 1985441135001600 2144276425801728 2233621276876800 2382529362001920 2493344681164800 2680345532252160 2978161702502400 3350431915315200 3573794043002880 3970882270003200 4288552851603456 4467242553753600 5360691064504320 5956323405004800 6700863830630400 7147588086005760 8934485107507200 10721382129008640 11912646810009600 13401727661260800 17868970215014400 21442764258017280 26803455322521600 35737940430028800 53606910645043200 107213821290086400
- Sum of all divisors σ(n): 408365018303745888
- Sum of proper divisors (its aliquot sum) s(n): 301151197013659488
- 107213821290086400 is an abundant number, because the sum of its proper divisors (301151197013659488) is greater than itself. Its abundance is 193937375723573088
Bases of 107213821290086400
- Binary: 1011111001110011001100111000001010000001000000000000000002
- Hexadecimal: 0x17CE66705020000
- Base-36: TBO4LJTA800
Squares and roots of 107213821290086400
- 107213821290086400 squared (1072138212900864002) is 11494803475622583812418919464960000
- 107213821290086400 cubed (1072138212900864003) is 1232401805600063723373022705372516851640172544000000
-
The
square root of 107213821290086400 is 327435216.9362458787 -
The
cube root of 107213821290086400 is 475061.9624284917
Scales and comparisons
How big is 107213821290086400?- 107,213,821,290,086,400 seconds is equal to 3,409,067,882 years, 46 weeks, 6 days.
-
To count from 1 to 107,213,821,290,086,400 would take you about ten billion, two hundred twenty-seven million, two hundred three thousand, six hundred forty-eight 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 107213821290086400 cubic inches would be around 39588.5 feet tall.
Recreational maths with 107213821290086400
- 107213821290086400 backwards is 004680092128312701
- 107213821290086400 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 107213821290086400's digits is 54
- More coming soon!
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"Number 107213821290086400 - Facts about the integer". Numbermatics.com. 2024. Web. 9 June 2024.
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Numbermatics. (2024). Number 107213821290086400 - Facts about the integer. Retrieved 9 June 2024, from https://numbermatics.com/n/107213821290086400/
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The information we have on file for 107213821290086400 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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