13084815025961664
13,084,815,025,961,664 is an even composite number composed of six prime numbers multiplied together.
13084815025961664 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred twenty-four divisors.
Prime factorization of 13084815025961664:
26 × 3 × 23 × 41 × 47 × 1537647577
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 23 × 41 × 47 × 1537647577)See below for interesting mathematical facts about the number 13084815025961664 from the Numbermatics database.
Names of 13084815025961664
- Cardinal: 13084815025961664 can be written as Thirteen quadrillion, eighty-four trillion, eight hundred fifteen billion, twenty-five million, nine hundred sixty-one thousand, six hundred sixty-four.
Scientific notation
- Scientific notation: 1.3084815025961664 × 1016
Factors of 13084815025961664
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1537647693
Divisors of 13084815025961664
- Number of divisors d(n): 224
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Complete list of divisors:
1 2 3 4 6 8 12 16 23 24 32 41 46 47 48 64 69 82 92 94 96 123 138 141 164 184 188 192 246 276 282 328 368 376 492 552 564 656 736 752 943 984 1081 1104 1128 1312 1472 1504 1886 1927 1968 2162 2208 2256 2624 2829 3008 3243 3772 3854 3936 4324 4416 4512 5658 5781 6486 7544 7708 7872 8648 9024 11316 11562 12972 15088 15416 17296 22632 23124 25944 30176 30832 34592 44321 45264 46248 51888 60352 61664 69184 88642 90528 92496 103776 123328 132963 177284 181056 184992 207552 265926 354568 369984 531852 709136 1063704 1418272 2127408 2836544 4254816 8509632 1537647577 3075295154 4612942731 6150590308 9225885462 12301180616 18451770924 24602361232 35365894271 36903541848 49204722464 63043550657 70731788542 72269436119 73807083696 98409444928 106097682813 126087101314 141463577084 144538872238 147614167392 189130651971 212195365626 216808308357 252174202628 282927154168 289077744476 295228334784 378261303942 424390731252 433616616714 504348405256 565854308336 578155488952 756522607884 848781462504 867233233428 1008696810512 1131708616672 1156310977904 1450001665111 1513045215768 1662197030737 1697562925008 1734466466856 2017393621024 2263417233344 2312621955808 2900003330222 2963046880879 3026090431536 3324394061474 3395125850016 3468932933712 4034787242048 4350004995333 4625243911616 4986591092211 5800006660444 5926093761758 6052180863072 6648788122948 6790251700032 6937865867424 8700009990666 8889140642637 9973182184422 11600013320888 11852187523516 12104361726144 13297576245896 13875731734848 17400019981332 17778281285274 19946364368844 23200026641776 23704375047032 26595152491792 34800039962664 35556562570548 39892728737688 46400053283552 47408750094064 53190304983584 68150078260217 69600079925328 71113125141096 79785457475376 92800106567104 94817500188128 106380609967168 136300156520434 139200159850656 142226250282192 159570914950752 189635000376256 204450234780651 272600313040868 278400319701312 284452500564384 319141829901504 408900469561302 545200626081736 568905001128768 817800939122604 1090401252163472 1635601878245208 2180802504326944 3271203756490416 4361605008653888 6542407512980832 13084815025961664
- Sum of all divisors σ(n): 37793950530287616
- Sum of proper divisors (its aliquot sum) s(n): 24709135504325952
- 13084815025961664 is an abundant number, because the sum of its proper divisors (24709135504325952) is greater than itself. Its abundance is 11624320478364288
Bases of 13084815025961664
- Binary: 1011100111110010010001111001111001001011111010110000002
- Hexadecimal: 0x2E7C91E792FAC0
- Base-36: 3KU6H1EJMIO
Squares and roots of 13084815025961664
- 13084815025961664 squared (130848150259616642) is 171212384263632141738327997648896
- 13084815025961664 cubed (130848150259616643) is 2240282378243496195591105341967086510993427922944
-
The
square root of 13084815025961664 is 114388876.3209153305 -
The
cube root of 13084815025961664 is 235643.7158791683
Scales and comparisons
How big is 13084815025961664?- 13,084,815,025,961,664 seconds is equal to 416,056,643 years, 43 weeks, 3 days, 54 minutes, 24 seconds.
-
To count from 1 to 13,084,815,025,961,664 would take you about one billion, two hundred forty-eight million, one hundred sixty-nine thousand, nine hundred thirty-one 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 13084815025961664 cubic inches would be around 19637 feet tall.
Recreational maths with 13084815025961664
- 13084815025961664 backwards is 46616952051848031
- 13084815025961664 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13084815025961664's digits is 69
- More coming soon!
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