138160128000
138,160,128,000 is an even composite number composed of five prime numbers multiplied together.
138160128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred eighty divisors.
Prime factorization of 138160128000:
214 × 3 × 53 × 113 × 199
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 113 × 199)See below for interesting mathematical facts about the number 138160128000 from the Numbermatics database.
Names of 138160128000
- Cardinal: 138160128000 can be written as One hundred thirty-eight billion, one hundred sixty million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.38160128 × 1011
Factors of 138160128000
Divisors of 138160128000
- Number of divisors d(n): 480
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 113 120 125 128 150 160 192 199 200 226 240 250 256 300 320 339 375 384 398 400 452 480 500 512 565 597 600 640 678 750 768 796 800 904 960 995 1000 1024 1130 1194 1200 1280 1356 1500 1536 1592 1600 1695 1808 1920 1990 2000 2048 2260 2388 2400 2560 2712 2825 2985 3000 3072 3184 3200 3390 3616 3840 3980 4000 4096 4520 4776 4800 4975 5120 5424 5650 5970 6000 6144 6368 6400 6780 7232 7680 7960 8000 8192 8475 9040 9552 9600 9950 10240 10848 11300 11940 12000 12288 12736 12800 13560 14125 14464 14925 15360 15920 16000 16384 16950 18080 19104 19200 19900 20480 21696 22487 22600 23880 24000 24576 24875 25472 25600 27120 28250 28928 29850 30720 31840 32000 33900 36160 38208 38400 39800 40960 42375 43392 44974 45200 47760 48000 49152 49750 50944 51200 54240 56500 57856 59700 61440 63680 64000 67461 67800 72320 74625 76416 76800 79600 81920 84750 86784 89948 90400 95520 96000 99500 101888 102400 108480 112435 113000 115712 119400 122880 127360 128000 134922 135600 144640 149250 152832 153600 159200 169500 173568 179896 180800 191040 192000 199000 203776 204800 216960 224870 226000 231424 238800 245760 254720 256000 269844 271200 289280 298500 305664 307200 318400 337305 339000 347136 359792 361600 382080 384000 398000 407552 409600 433920 449740 452000 462848 477600 509440 512000 539688 542400 562175 578560 597000 611328 614400 636800 674610 678000 694272 719584 723200 764160 768000 796000 815104 867840 899480 904000 925696 955200 1018880 1024000 1079376 1084800 1124350 1157120 1194000 1222656 1228800 1273600 1349220 1356000 1388544 1439168 1446400 1528320 1536000 1592000 1630208 1686525 1735680 1798960 1808000 1851392 1910400 2037760 2048000 2158752 2169600 2248700 2314240 2388000 2445312 2547200 2698440 2712000 2777088 2810875 2878336 2892800 3056640 3072000 3184000 3260416 3373050 3471360 3597920 3616000 3820800 4075520 4317504 4339200 4497400 4628480 4776000 4890624 5094400 5396880 5424000 5554176 5621750 5756672 5785600 6113280 6144000 6368000 6746100 6942720 7195840 7232000 7641600 8151040 8432625 8635008 8678400 8994800 9256960 9552000 9781248 10188800 10793760 10848000 11243500 11513344 11571200 12226560 12736000 13492200 13885440 14391680 14464000 15283200 16302080 16865250 17270016 17356800 17989600 19104000 20377600 21587520 21696000 22487000 23026688 23142400 24453120 25472000 26984400 27770880 28783360 28928000 30566400 33730500 34540032 34713600 35979200 38208000 40755200 43175040 43392000 44974000 46053376 46284800 48906240 50944000 53968800 57566720 57856000 61132800 67461000 69080064 69427200 71958400 76416000 81510400 86350080 86784000 89948000 92106752 101888000 107937600 115133440 115712000 122265600 134922000 138160128 138854400 143916800 152832000 172700160 173568000 179896000 184213504 203776000 215875200 230266880 231424000 244531200 269844000 276320256 287833600 305664000 345400320 347136000 359792000 368427008 407552000 431750400 460533760 539688000 552640512 575667200 611328000 690800640 694272000 719584000 863500800 921067520 1079376000 1105281024 1151334400 1222656000 1381601280 1439168000 1727001600 1842135040 2158752000 2302668800 2763202560 2878336000 3454003200 4317504000 4605337600 5526405120 5756672000 6908006400 8635008000 9210675200 11513344000 13816012800 17270016000 23026688000 27632025600 34540032000 46053376000 69080064000 138160128000
- Sum of all divisors σ(n): 466182662400
- Sum of proper divisors (its aliquot sum) s(n): 328022534400
- 138160128000 is an abundant number, because the sum of its proper divisors (328022534400) is greater than itself. Its abundance is 189862406400
Bases of 138160128000
- Binary: 100000001010101111110001000000000000002
- Hexadecimal: 0x202AFC4000
- Base-36: 1RGWZ11C
Squares and roots of 138160128000
- 138160128000 squared (1381601280002) is 19088220968976384000000
- 138160128000 cubed (1381601280003) is 2637231052366061242417152000000000
-
The
square root of 138160128000 is 371698.9749784091 -
The
cube root of 138160128000 is 5169.6472366359
Scales and comparisons
How big is 138160128000?- 138,160,128,000 seconds is equal to 4,393 years, 3 weeks, 2 days, 13 hours, 20 minutes.
-
To count from 1 to 138,160,128,000 would take you about eight thousand, seven hundred eighty-six 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 138160128000 cubic inches would be around 430.8 feet tall.
Recreational maths with 138160128000
- 138160128000 backwards is 000821061831
- 138160128000 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138160128000's digits is 30
- More coming soon!
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