138125097523200
138,125,097,523,200 is an even composite number composed of five prime numbers multiplied together.
138125097523200 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 138125097523200:
211 × 3 × 52 × 31 × 29008127
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 31 × 29008127)See below for interesting mathematical facts about the number 138125097523200 from the Numbermatics database.
Names of 138125097523200
- Cardinal: 138125097523200 can be written as One hundred thirty-eight trillion, one hundred twenty-five billion, ninety-seven million, five hundred twenty-three thousand, two hundred.
Scientific notation
- Scientific notation: 1.381250975232 × 1014
Factors of 138125097523200
Divisors of 138125097523200
- Number of divisors d(n): 288
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 128 150 155 160 186 192 200 240 248 256 300 310 320 372 384 400 465 480 496 512 600 620 640 744 768 775 800 930 960 992 1024 1200 1240 1280 1488 1536 1550 1600 1860 1920 1984 2048 2325 2400 2480 2560 2976 3072 3100 3200 3720 3840 3968 4650 4800 4960 5120 5952 6144 6200 6400 7440 7680 7936 9300 9600 9920 10240 11904 12400 12800 14880 15360 15872 18600 19200 19840 23808 24800 25600 29760 30720 31744 37200 38400 39680 47616 49600 51200 59520 63488 74400 76800 79360 95232 99200 119040 148800 153600 158720 190464 198400 238080 297600 317440 396800 476160 595200 793600 952320 1190400 1587200 2380800 4761600 29008127 58016254 87024381 116032508 145040635 174048762 232065016 290081270 348097524 435121905 464130032 580162540 696195048 725203175 870243810 899251937 928260064 1160325080 1392390096 1450406350 1740487620 1798503874 1856520128 2175609525 2320650160 2697755811 2784780192 2900812700 3480975240 3597007748 3713040256 4351219050 4496259685 4641300320 5395511622 5569560384 5801625400 6961950480 7194015496 7426080512 8702438100 8992519370 9282600640 10791023244 11139120768 11603250800 13488779055 13923900960 14388030992 14852161024 17404876200 17985038740 18565201280 21582046488 22278241536 22481298425 23206501600 26977558110 27847801920 28776061984 29704322048 34809752400 35970077480 37130402560 43164092976 44556483072 44962596850 46413003200 53955116220 55695603840 57552123968 59408644096 67443895275 69619504800 71940154960 74260805120 86328185952 89112966144 89925193700 92826006400 107910232440 111391207680 115104247936 134887790550 139239009600 143880309920 148521610240 172656371904 178225932288 179850387400 185652012800 215820464880 222782415360 230208495872 269775581100 278478019200 287760619840 297043220480 345312743808 359700774800 371304025600 431640929760 445564830720 460416991744 539551162200 556956038400 575521239680 690625487616 719401549600 742608051200 863281859520 891129661440 920833983488 1079102324400 1113912076800 1151042479360 1381250975232 1438803099200 1485216102400 1726563719040 1841667966976 2158204648800 2227824153600 2302084958720 2762501950464 2877606198400 3453127438080 4316409297600 4455648307200 4604169917440 5525003900928 5755212396800 6906254876160 8632818595200 9208339834880 11510424793600 13812509752320 17265637190400 23020849587200 27625019504640 34531274380800 46041699174400 69062548761600 138125097523200
- Sum of all divisors σ(n): 471351911546880
- Sum of proper divisors (its aliquot sum) s(n): 333226814023680
- 138125097523200 is an abundant number, because the sum of its proper divisors (333226814023680) is greater than itself. Its abundance is 195101716500480
Bases of 138125097523200
- Binary: 111110110011111110000010101111101011000000000002
- Hexadecimal: 0x7D9FC15F5800
- Base-36: 1CYLSKS45C
Squares and roots of 138125097523200
- 138125097523200 squared (1381250975232002) is 19078542565793510774538240000
- 138125097523200 cubed (1381250975232003) is 2635225552500751028126804367447687168000000
-
The
square root of 138125097523200 is 11752663.4225268273 -
The
cube root of 138125097523200 is 51692.1027864633
Scales and comparisons
How big is 138125097523200?- 138,125,097,523,200 seconds is equal to 4,391,950 years, 44 weeks, 2 days, 5 hours, 20 minutes.
-
To count from 1 to 138,125,097,523,200 would take you about ten million, nine hundred seventy-nine thousand, eight hundred seventy-seven 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 138125097523200 cubic inches would be around 4307.7 feet tall.
Recreational maths with 138125097523200
- 138125097523200 backwards is 002325790521831
- 138125097523200 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138125097523200's digits is 48
- More coming soon!
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