138107005144920000
138,107,005,144,920,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 138107005144920000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3780 divisors.
138107005144920000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand, seven hundred eighty divisors.
Prime factorization of 138107005144920000:
26 × 32 × 54 × 72 × 412 × 1673
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 5 × 7 × 7 × 41 × 41 × 167 × 167 × 167)See below for interesting mathematical facts about the number 138107005144920000 from the Numbermatics database.
Names of 138107005144920000
- Cardinal: 138107005144920000 can be written as One hundred thirty-eight quadrillion, one hundred seven trillion, five billion, one hundred forty-four million, nine hundred twenty thousand.
Scientific notation
- Scientific notation: 1.3810700514492 × 1017
Factors of 138107005144920000
Divisors of 138107005144920000
- Number of divisors d(n): 3780
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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 25 28 30 32 35 36 40 41 42 45 48 49 50 56 60 63 64 70 72 75 80 82 84 90 96 98 100 105 112 120 123 125 126 140 144 147 150 160 164 167 168 175 180 192 196 200 205 210 224 225 240 245 246 250 252 280 287 288 294 300 315 320 328 334 336 350 360 369 375 392 400 410 420 441 448 450 480 490 492 500 501 504 525 560 574 576 588 600 615 625 630 656 668 672 700 720 735 738 750 784 800 820 835 840 861 875 882 900 960 980 984 1000 1002 1008 1025 1050 1120 1125 1148 1169 1176 1200 1225 1230 1250 1260 1312 1336 1344 1400 1435 1440 1470 1476 1500 1503 1568 1575 1600 1640 1670 1680 1681 1722 1750 1764 1800 1845 1875 1960 1968 2000 2004 2009 2016 2050 2100 2205 2240 2250 2296 2338 2352 2400 2450 2460 2500 2505 2520 2583 2624 2625 2672 2800 2870 2880 2940 2952 3000 3006 3075 3136 3150 3280 3340 3360 3362 3444 3500 3507 3528 3600 3675 3690 3750 3920 3936 4000 4008 4018 4032 4100 4175 4200 4305 4375 4410 4500 4592 4676 4704 4800 4900 4920 5000 5010 5040 5043 5125 5166 5250 5344 5600 5625 5740 5845 5880 5904 6000 6012 6027 6125 6150 6300 6560 6680 6720 6724 6847 6888 7000 7014 7056 7175 7200 7350 7380 7500 7515 7840 7872 7875 8000 8016 8036 8183 8200 8350 8400 8405 8610 8750 8820 9000 9184 9225 9352 9408 9800 9840 10000 10020 10045 10080 10086 10250 10332 10500 10521 10688 11025 11200 11250 11480 11690 11760 11767 11808 12000 12024 12054 12250 12300 12525 12600 12915 13120 13125 13360 13448 13694 13776 14000 14028 14112 14350 14400 14700 14760 15000 15030 15129 15375 15680 15750 16032 16072 16366 16400 16700 16800 16810 17220 17500 17535 17640 18000 18081 18368 18375 18450 18704 19600 19680 20000 20040 20090 20160 20172 20500 20541 20664 20875 21000 21042 21525 22050 22500 22960 23380 23520 23534 23616 24000 24048 24108 24500 24549 24600 25050 25200 25215 25625 25830 26250 26720 26896 27388 27552 27889 28000 28056 28224 28700 29225 29400 29520 30000 30060 30135 30258 30625 30750 31500 32064 32144 32732 32800 33400 33600 33620 34235 34440 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575445854770500 613808911755200 616549130111250 657652405452000 673692708024000 690535025724600 704627577270000 719307318463125 767261139694000 789182886542400 822065506815000 826988054760000 842115885030000 863168782155750 920713367632800 939503436360000 959076424617500 986478608178000 1096087342420000 1104856041159360 1122821180040000 1150891709541000 1233098260222500 1315304810904000 1381070051449200 1409255154540000 1438614636926250 1534522279388000 1644131013630000 1684231770060000 1726337564311500 1841426735265600 1918152849235000 1972957216356000 2157921955389375 2192174684840000 2301783419082000 2466196520445000 2762140102898400 2818510309080000 2877229273852500 3069044558776000 3288262027260000 3368463540120000 3452675128623000 3836305698470000 3945914432712000 4315843910778750 4603566838164000 4932393040890000 5524280205796800 5754458547705000 6576524054520000 6905350257246000 7672611396940000 8631687821557500 9207133676328000 9864786081780000 11508917095410000 13810700514492000 15345222793880000 17263375643115000 19729572163560000 23017834190820000 27621401028984000 34526751286230000 46035668381640000 69053502572460000 138107005144920000
- Sum of all divisors σ(n): 593356953583714320
- Sum of proper divisors (its aliquot sum) s(n): 455249948438794320
- 138107005144920000 is an abundant number, because the sum of its proper divisors (455249948438794320) is greater than itself. Its abundance is 317142943293874320
Bases of 138107005144920000
- Binary: 1111010101010011110010110111001101010011111101111110000002
- Hexadecimal: 0x1EAA796E6A7EFC0
- Base-36: 11RUUIAE2Y80
Squares and roots of 138107005144920000
- 138107005144920000 squared (1381070051449200002) is 19073544870098959350201806400000000
- 138107005144920000 cubed (1381070051449200003) is 2634190159506619452047858816525077783488000000000000
-
The
square root of 138107005144920000 is 371627508.5955290259 -
The
cube root of 138107005144920000 is 516898.4571676955
Scales and comparisons
How big is 138107005144920000?- 138,107,005,144,920,000 seconds is equal to 4,391,375,570 years, 30 weeks, 5 days, 20 hours.
-
To count from 1 to 138,107,005,144,920,000 would take you about thirteen billion, one hundred seventy-four million, one hundred twenty-six thousand, seven hundred eleven 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 138107005144920000 cubic inches would be around 43074.9 feet tall.
Recreational maths with 138107005144920000
- 138107005144920000 backwards is 000029441500701831
- 138107005144920000 is a
Harshad number . - The number of decimal digits it has is: 18
- The sum of 138107005144920000's digits is 45
- More coming soon!
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MLA style:
"Number 138107005144920000 - Facts about the integer". Numbermatics.com. 2024. Web. 30 May 2024.
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Numbermatics. (2024). Number 138107005144920000 - Facts about the integer. Retrieved 30 May 2024, from https://numbermatics.com/n/138107005144920000/
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Numbermatics. 2024. "Number 138107005144920000 - Facts about the integer". https://numbermatics.com/n/138107005144920000/
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