138287576185920
138,287,576,185,920 is an even composite number composed of five prime numbers multiplied together.
What does the number 138287576185920 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 224 divisors.
138287576185920 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 138287576185920:
26 × 33 × 5 × 7 × 2286500929
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 7 × 2286500929)See below for interesting mathematical facts about the number 138287576185920 from the Numbermatics database.
Names of 138287576185920
- Cardinal: 138287576185920 can be written as One hundred thirty-eight trillion, two hundred eighty-seven billion, five hundred seventy-six million, one hundred eighty-five thousand, nine hundred twenty.
Scientific notation
- Scientific notation: 1.3828757618592 × 1014
Factors of 138287576185920
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 2286500946
Divisors of 138287576185920
- Number of divisors d(n): 224
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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 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 64 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 192 210 216 224 240 252 270 280 288 315 320 336 360 378 420 432 448 480 504 540 560 576 630 672 720 756 840 864 945 960 1008 1080 1120 1260 1344 1440 1512 1680 1728 1890 2016 2160 2240 2520 2880 3024 3360 3780 4032 4320 5040 6048 6720 7560 8640 10080 12096 15120 20160 30240 60480 2286500929 4573001858 6859502787 9146003716 11432504645 13719005574 16005506503 18292007432 20578508361 22865009290 27438011148 32011013006 34297513935 36584014864 41157016722 45730018580 48016519509 54876022296 61735525083 64022026012 68595027870 73168029728 80027532515 82314033444 91460037160 96033039018 102892541805 109752044592 123471050166 128044052024 137190055740 144049558527 146336059456 160055065030 164628066888 182920074320 192066078036 205785083610 219504089184 240082597545 246942100332 256088104048 274380111480 288099117054 308677625415 320110130060 329256133776 365840148640 384132156072 411570167220 432148675581 439008178368 480165195090 493884200664 512176208096 548760222960 576198234108 617355250830 640220260120 658512267552 720247792635 731680297280 768264312144 823140334440 864297351162 960330390180 987768401328 1024352416192 1097520445920 1152396468216 1234710501660 1280440520240 1317024535104 1440495585270 1536528624288 1646280668880 1728594702324 1920660780360 1975536802656 2160743377905 2195040891840 2304792936432 2469421003320 2560881040480 2880991170540 3073057248576 3292561337760 3457189404648 3841321560720 3951073605312 4321486755810 4609585872864 4938842006640 5121762080960 5761982341080 6585122675520 6914378809296 7682643121440 8642973511620 9219171745728 9877684013280 11523964682160 13828757618592 15365286242880 17285947023240 19755368026560 23047929364320 27657515237184 34571894046480 46095858728640 69143788092960 138287576185920
- Sum of all divisors σ(n): 557540386771200
- Sum of proper divisors (its aliquot sum) s(n): 419252810585280
- 138287576185920 is an abundant number, because the sum of its proper divisors (419252810585280) is greater than itself. Its abundance is 280965234399360
Bases of 138287576185920
- Binary: 111110111000101100101011101101011111100010000002
- Hexadecimal: 0x7DC595DAFC40
- Base-36: 1D0OFODQO0
Squares and roots of 138287576185920
- 138287576185920 squared (1382875761859202) is 19123453727376628294406246400
- 138287576185920 cubed (1382875761859203) is 2644536064262511282880316906410735730688000
-
The
square root of 138287576185920 is 11759573.8097058603 -
The
cube root of 138287576185920 is 51712.3635809597
Scales and comparisons
How big is 138287576185920?- 138,287,576,185,920 seconds is equal to 4,397,117 years, 8 weeks, 6 days, 7 hours, 12 minutes.
-
To count from 1 to 138,287,576,185,920 would take you about ten million, nine hundred ninety-two thousand, seven hundred ninety-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 138287576185920 cubic inches would be around 4309.4 feet tall.
Recreational maths with 138287576185920
- 138287576185920 backwards is 029581675782831
- 138287576185920 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138287576185920's digits is 72
- More coming soon!
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