13380878185786883508072
13,380,878,185,786,883,508,072 is an even composite number composed of six prime numbers multiplied together.
What does the number 13380878185786883508072 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 192 divisors.
13380878185786883508072 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one hundred ninety-two divisors.
Prime factorization of 13380878185786883508072:
23 × 3 × 72 × 23 × 607 × 815005929161927
(2 × 2 × 2 × 3 × 7 × 7 × 23 × 607 × 815005929161927)See below for interesting mathematical facts about the number 13380878185786883508072 from the Numbermatics database.
Names of 13380878185786883508072
- Cardinal: 13380878185786883508072 can be written as Thirteen sextillion, three hundred eighty quintillion, eight hundred seventy-eight quadrillion, one hundred eighty-five trillion, seven hundred eighty-six billion, eight hundred eighty-three million, five hundred eight thousand and seventy-two.
Scientific notation
- Scientific notation: 1.3380878185786883508072 × 1022
Factors of 13380878185786883508072
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 9
- Sum of prime factors: 815005929162569
Divisors of 13380878185786883508072
- Number of divisors d(n): 192
-
Complete list of divisors:
1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 607 644 966 1127 1176 1214 1288 1821 1932 2254 2428 3381 3642 3864 4249 4508 4856 6762 7284 8498 9016 12747 13524 13961 14568 16996 25494 27048 27922 29743 33992 41883 50988 55844 59486 83766 89229 97727 101976 111688 118972 167532 178458 195454 237944 293181 335064 356916 390908 586362 684089 713832 781816 1172724 1368178 2052267 2345448 2736356 4104534 5472712 8209068 16418136 815005929161927 1630011858323854 2445017787485781 3260023716647708 4890035574971562 5705041504133489 6520047433295416 9780071149943124 11410083008266978 17115124512400467 18745136370724321 19560142299886248 22820166016533956 34230249024800934 37490272741448642 39935290528934423 45640332033067912 56235409112172963 68460498049601868 74980545482897284 79870581057868846 112470818224345926 119805871586803269 131215954595070247 136920996099203736 149961090965794568 159741162115737692 224941636448691852 239611743173606538 262431909190140494 319482324231475384 393647863785210741 449883272897383704 479223486347213076 494708599001289689 524863818380280988 787295727570421482 918511682165491729 958446972694426152 989417198002579378 1049727636760561976 1484125797003869067 1574591455140842964 1837023364330983458 1978834396005158756 2755535046496475187 2968251594007738134 3149182910281685928 3462960193009027823 3674046728661966916 3957668792010317512 5511070092992950374 5936503188015476268 6925920386018055646 7348093457323933832 10388880579027083469 11022140185985900748 11378297777029662847 11873006376030952536 13851840772036111292 20777761158054166938 22044280371971801496 22756595554059325694 24240721351063194761 27703681544072222584 34134893331088988541 41555522316108333876 45513191108118651388 48481442702126389522 68269786662177977082 72722164053189584283 79648084439207639929 83111044632216667752 91026382216237302776 96962885404252779044 136539573324355954164 145444328106379168566 159296168878415279858 193925770808505558088 238944253317622919787 273079146648711908328 290888656212758337132 318592337756830559716 477888506635245839574 557536591074453479503 581777312425516674264 637184675513661119432 955777013270491679148 1115073182148906959006 1672609773223360438509 1911554026540983358296 2230146364297813918012 3345219546446720877018 4460292728595627836024 6690439092893441754036 13380878185786883508072
- Sum of all divisors σ(n): 40672577492691518545920
- Sum of proper divisors (its aliquot sum) s(n): 27291699306904635037848
- 13380878185786883508072 is an abundant number, because the sum of its proper divisors (27291699306904635037848) is greater than itself. Its abundance is 13910821121117751529776
Bases of 13380878185786883508072
- Binary: 101101010101100000111111001111011100001010110010001000110100000111011010002
- Hexadecimal: 0x2D560FCF70AC88D0768
- Base-36: 26FXN0L7JDO6K4O
Squares and roots of 13380878185786883508072
- 13380878185786883508072 squared (133808781857868835080722) is 179047901022867278960212978073915697289157184
- 13380878185786883508072 cubed (133808781857868835080723) is 2395818153007813799658825362823415296084612202022111065514140789248
-
The
square root of 13380878185786883508072 is 115675745883.8579674887 -
The
cube root of 13380878185786883508072 is 23740773.9223555113
Scales and comparisons
How big is 13380878185786883508072?- 13,380,878,185,786,883,508,072 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 13,380,878,185,786,883,508,072 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 13380878185786883508072 cubic inches would be around 1978397.8 feet tall.
Recreational maths with 13380878185786883508072
- 13380878185786883508072 backwards is 27080538868758187808331
- The number of decimal digits it has is: 23
- The sum of 13380878185786883508072's digits is 114
- More coming soon!
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