13972518138371773104
13,972,518,138,371,773,104 is an even composite number composed of six prime numbers multiplied together.
What does the number 13972518138371773104 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 320 divisors.
13972518138371773104 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred twenty divisors.
Prime factorization of 13972518138371773104:
24 × 33 × 19 × 61 × 167 × 167105609249
(2 × 2 × 2 × 2 × 3 × 3 × 3 × 19 × 61 × 167 × 167105609249)See below for interesting mathematical facts about the number 13972518138371773104 from the Numbermatics database.
Names of 13972518138371773104
- Cardinal: 13972518138371773104 can be written as Thirteen quintillion, nine hundred seventy-two quadrillion, five hundred eighteen trillion, one hundred thirty-eight billion, three hundred seventy-one million, seven hundred seventy-three thousand, one hundred four.
Scientific notation
- Scientific notation: 1.3972518138371773104 × 1019
Factors of 13972518138371773104
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 167105609501
Divisors of 13972518138371773104
- Number of divisors d(n): 320
-
Complete list of divisors:
1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 61 72 76 108 114 122 144 152 167 171 183 216 228 244 304 334 342 366 432 456 488 501 513 549 668 684 732 912 976 1002 1026 1098 1159 1336 1368 1464 1503 1647 2004 2052 2196 2318 2672 2736 2928 3006 3173 3294 3477 4008 4104 4392 4509 4636 6012 6346 6588 6954 8016 8208 8784 9018 9272 9519 10187 10431 12024 12692 13176 13908 18036 18544 19038 20374 20862 24048 25384 26352 27816 28557 30561 31293 36072 38076 40748 41724 50768 55632 57114 61122 62586 72144 76152 81496 83448 85671 91683 114228 122244 125172 152304 162992 166896 171342 183366 193553 228456 244488 250344 275049 342684 366732 387106 456912 488976 500688 550098 580659 685368 733464 774212 1100196 1161318 1370736 1466928 1548424 1741977 2200392 2322636 3096848 3483954 4400784 4645272 5225931 6967908 9290544 10451862 13935816 20903724 27871632 41807448 83614896 167105609249 334211218498 501316827747 668422436996 1002633655494 1336844873992 1503950483241 2005267310988 2673689747984 3007900966482 3175006575731 4010534621976 4511851449723 6015801932964 6350013151462 8021069243952 9023702899446 9525019727193 10193442164189 12031603865928 12700026302924 18047405798892 19050039454386 20386884328378 24063207731856 25400052605848 27906636744583 28575059181579 30580326492567 36094811597784 38100078908772 40773768656756 50800105211696 55813273489166 57150118363158 61160652985134 72189623195568 76200157817544 81547537313512 83719910233749 85725177544737 91740979477701 111626546978332 114300236726316 122321305970268 152400315635088 163095074627024 167439820467498 171450355089474 183481958955402 193675401119591 223253093956664 228600473452632 244642611940536 251159730701247 275222938433103 334879640934996 342900710178948 366963917910804 387350802239182 446506187913328 457200946905264 489285223881072 502319461402494 530226098147077 550445876866206 581026203358773 669759281869992 685801420357896 733927835821608 753479192103741 774701604478364 1004638922804988 1060452196294154 1100891753732412 1162052406717546 1339518563739984 1371602840715792 1467855671643216 1506958384207482 1549403208956728 1590678294441231 1702304841419563 1743078610076319 2009277845609976 2120904392588308 2201783507464824 2324104813435092 3013916768414964 3098806417913456 3181356588882462 3404609682839126 3486157220152638 4018555691219952 4241808785176616 4403567014929648 4648209626870184 4772034883323693 5106914524258689 5229235830228957 6027833536829928 6362713177764924 6809219365678252 6972314440305276 8483617570353232 9296419253740368 9544069766647386 10213829048517378 10458471660457914 12055667073659856 12725426355529848 13618438731356504 13944628880610552 14316104649971079 15320743572776067 19088139533294772 20427658097034756 20916943320915828 25450852711059696 27236877462713008 27889257761221104 28632209299942158 30641487145552134 32343791986971697 38176279066589544 40855316194069512 41833886641831656 45962230718328201 57264418599884316 61282974291104268 64687583973943394 76352558133179088 81710632388139024 83667773283663312 91924461436656402 97031375960915091 114528837199768632 122565948582208536 129375167947886788 183848922873312804 194062751921830182 229057674399537264 245131897164417072 258750335895773576 291094127882745273 367697845746625608 388125503843660364 517500671791547152 582188255765490546 735395691493251216 776251007687320728 873282383648235819 1164376511530981092 1552502015374641456 1746564767296471638 2328753023061962184 3493129534592943276 4657506046123924368 6986259069185886552 13972518138371773104
- Sum of all divisors σ(n): 43166186243510400000
- Sum of proper divisors (its aliquot sum) s(n): 29193668105138626896
- 13972518138371773104 is an abundant number, because the sum of its proper divisors (29193668105138626896) is greater than itself. Its abundance is 15221149966766853792
Bases of 13972518138371773104
- Binary: 11000001111010000101101100110111100111110101101000010010101100002
- Hexadecimal: 0xC1E85B379F5A12B0
- Base-36: 2Y5N0AZ0YZ4C0
Squares and roots of 13972518138371773104
- 13972518138371773104 squared (139725181383717731042) is 195231263127128199921859335944857794816
- 13972518138371773104 cubed (139725181383717731043) is 2727872365221031105950082951665043108672840927825339428864
-
The
square root of 13972518138371773104 is 3737983164.5383012751 -
The
cube root of 13972518138371773104 is 2408564.2026701601
Scales and comparisons
How big is 13972518138371773104?- 13,972,518,138,371,773,104 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,972,518,138,371,773,104 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and nine 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 13972518138371773104 cubic inches would be around 200713.7 feet tall.
Recreational maths with 13972518138371773104
- 13972518138371773104 backwards is 40137717383181527931
- The number of decimal digits it has is: 20
- The sum of 13972518138371773104's digits is 81
- More coming soon!
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The information we have on file for 13972518138371773104 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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