138435742137222400
138,435,742,137,222,400 is an even composite number composed of five prime numbers multiplied together.
138435742137222400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred sixteen divisors.
Prime factorization of 138435742137222400:
28 × 52 × 13 × 607 × 2741171551
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 13 × 607 × 2741171551)See below for interesting mathematical facts about the number 138435742137222400 from the Numbermatics database.
Names of 138435742137222400
- Cardinal: 138435742137222400 can be written as One hundred thirty-eight quadrillion, four hundred thirty-five trillion, seven hundred forty-two billion, one hundred thirty-seven million, two hundred twenty-two thousand, four hundred.
Scientific notation
- Scientific notation: 1.384357421372224 × 1017
Factors of 138435742137222400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 2741172178
Divisors of 138435742137222400
- Number of divisors d(n): 216
-
Complete list of divisors:
1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 64 65 80 100 104 128 130 160 200 208 256 260 320 325 400 416 520 607 640 650 800 832 1040 1214 1280 1300 1600 1664 2080 2428 2600 3035 3200 3328 4160 4856 5200 6070 6400 7891 8320 9712 10400 12140 15175 15782 16640 19424 20800 24280 30350 31564 38848 39455 41600 48560 60700 63128 77696 78910 83200 97120 121400 126256 155392 157820 194240 197275 242800 252512 315640 388480 394550 485600 505024 631280 776960 789100 971200 1010048 1262560 1578200 1942400 2020096 2525120 3156400 3884800 5050240 6312800 10100480 12625600 25251200 50502400 2741171551 5482343102 10964686204 13705857755 21929372408 27411715510 35635230163 43858744816 54823431020 68529288775 71270460326 87717489632 109646862040 137058577550 142540920652 175434979264 178176150815 219293724080 274117155100 285081841304 350869958528 356352301630 438587448160 548234310200 570163682608 701739917056 712704603260 877174896320 890880754075 1096468620400 1140327365216 1425409206520 1663891131457 1754349792640 1781761508150 2192937240800 2280654730432 2850818413040 3327782262914 3508699585280 3563523016300 4385874481600 4561309460864 5701636826080 6655564525828 7127046032600 8319455657285 8771748963200 9122618921728 11403273652160 13311129051656 14254092065200 16638911314570 17543497926400 21630584708941 22806547304320 26622258103312 28508184130400 33277822629140 41597278286425 43261169417882 45613094608640 53244516206624 57016368260800 66555645258280 83194556572850 86522338835764 106489032413248 108152923544705 114032736521600 133111290516560 166389113145700 173044677671528 212978064826496 216305847089410 228065473043200 266222581033120 332778226291400 346089355343056 425956129652992 432611694178820 532445162066240 540764617723525 665556452582800 692178710686112 865223388357640 1064890324132480 1081529235447050 1331112905165600 1384357421372224 1730446776715280 2129780648264960 2163058470894100 2662225810331200 2768714842744448 3460893553430560 4326116941788200 5324451620662400 5537429685488896 6921787106861120 8652233883576400 10648903241324800 13843574213722240 17304467767152800 27687148427444480 34608935534305600 69217871068611200 138435742137222400
- Sum of all divisors σ(n): 369615712502134784
- Sum of proper divisors (its aliquot sum) s(n): 231179970364912384
- 138435742137222400 is an abundant number, because the sum of its proper divisors (231179970364912384) is greater than itself. Its abundance is 92744228227689984
Bases of 138435742137222400
- Binary: 1111010111101001010010010111100100100111010000101000000002
- Hexadecimal: 0x1EBD292F24E8500
- Base-36: 11V3DHZ7K7B4
Squares and roots of 138435742137222400
- 138435742137222400 squared (1384357421372224002) is 19164454701083533544871587061760000
- 138435742137222400 cubed (1384357421372224003) is 2653045509199679639040153523120132294343655424000000
-
The
square root of 138435742137222400 is 372069539.3837318685 -
The
cube root of 138435742137222400 is 517308.2577628125
Scales and comparisons
How big is 138435742137222400?- 138,435,742,137,222,400 seconds is equal to 4,401,828,390 years, 5 weeks, 15 hours, 6 minutes, 40 seconds.
-
To count from 1 to 138,435,742,137,222,400 would take you about thirteen billion, two hundred five million, four hundred eighty-five thousand, one hundred seventy 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 138435742137222400 cubic inches would be around 43109 feet tall.
Recreational maths with 138435742137222400
- 138435742137222400 backwards is 004222731247534831
- The number of decimal digits it has is: 18
- The sum of 138435742137222400's digits is 58
- More coming soon!
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The information we have on file for 138435742137222400 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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