13680142998046875
13,680,142,998,046,875 is an odd composite number composed of three prime numbers multiplied together.
What does the number 13680142998046875 look like?
This visualization shows the relationship between its 3 prime factors (large circles) and 594 divisors.
13680142998046875 is an odd composite number. It is composed of three distinct prime numbers multiplied together. It has a total of five hundred ninety-four divisors.
Prime factorization of 13680142998046875:
35 × 510 × 78
(3 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 5 × 7 × 7 × 7 × 7 × 7 × 7 × 7 × 7)See below for interesting mathematical facts about the number 13680142998046875 from the Numbermatics database.
Names of 13680142998046875
- Cardinal: 13680142998046875 can be written as Thirteen quadrillion, six hundred eighty trillion, one hundred forty-two billion, nine hundred ninety-eight million, forty-six thousand, eight hundred seventy-five.
Scientific notation
- Scientific notation: 1.3680142998046875 × 1016
Factors of 13680142998046875
Divisors of 13680142998046875
- Number of divisors d(n): 594
-
Complete list of divisors:
1 3 5 7 9 15 21 25 27 35 45 49 63 75 81 105 125 135 147 175 189 225 243 245 315 343 375 405 441 525 567 625 675 735 875 945 1029 1125 1215 1225 1323 1575 1701 1715 1875 2025 2205 2401 2625 2835 3087 3125 3375 3675 3969 4375 4725 5145 5625 6075 6125 6615 7203 7875 8505 8575 9261 9375 10125 11025 11907 12005 13125 14175 15435 15625 16807 16875 18375 19845 21609 21875 23625 25725 27783 28125 30375 30625 33075 36015 39375 42525 42875 46305 46875 50421 50625 55125 59535 60025 64827 65625 70875 77175 78125 83349 84035 84375 91875 99225 108045 109375 117649 118125 128625 138915 140625 151263 151875 153125 165375 180075 194481 196875 212625 214375 231525 234375 252105 253125 275625 297675 300125 324135 328125 352947 354375 385875 390625 416745 420175 421875 453789 459375 496125 540225 546875 583443 588245 590625 643125 694575 703125 756315 759375 765625 823543 826875 900375 972405 984375 1058841 1063125 1071875 1157625 1171875 1260525 1265625 1361367 1378125 1488375 1500625 1620675 1640625 1764735 1771875 1929375 1953125 2083725 2100875 2109375 2268945 2296875 2470629 2480625 2701125 2734375 2917215 2941225 2953125 3176523 3215625 3472875 3515625 3781575 3796875 3828125 4084101 4117715 4134375 4501875 4862025 4921875 5294205 5315625 5359375 5764801 5788125 5859375 6302625 6328125 6806835 6890625 7411887 7441875 7503125 8103375 8203125 8823675 8859375 9529569 9646875 9765625 10418625 10504375 10546875 11344725 11484375 12353145 12403125 13505625 13671875 14586075 14706125 14765625 15882615 16078125 17294403 17364375 17578125 18907875 18984375 19140625 20420505 20588575 20671875 22235661 22509375 24310125 24609375 26471025 26578125 26796875 28588707 28824005 28940625 29296875 31513125 31640625 34034175 34453125 37059435 37209375 37515625 40516875 41015625 44118375 44296875 47647845 48234375 51883209 52093125 52521875 52734375 56723625 57421875 61765725 62015625 66706983 67528125 68359375 72930375 73530625 73828125 79413075 80390625 86472015 86821875 87890625 94539375 94921875 95703125 102102525 102942875 103359375 111178305 112546875 121550625 123046875 132355125 132890625 133984375 142943535 144120025 144703125 155649627 157565625 158203125 170170875 172265625 185297175 186046875 187578125 200120949 202584375 205078125 220591875 221484375 238239225 241171875 259416045 260465625 262609375 263671875 283618125 287109375 308828625 310078125 333534915 337640625 364651875 367653125 369140625 397065375 401953125 432360075 434109375 466948881 472696875 474609375 478515625 510512625 514714375 516796875 555891525 562734375 607753125 615234375 661775625 664453125 669921875 714717675 720600125 723515625 778248135 787828125 791015625 850854375 861328125 926485875 930234375 937890625 1000604745 1012921875 1102959375 1107421875 1191196125 1205859375 1297080225 1302328125 1313046875 1400846643 1418090625 1435546875 1544143125 1550390625 1667674575 1688203125 1823259375 1838265625 1845703125 1985326875 2009765625 2161800375 2170546875 2334744405 2363484375 2373046875 2552563125 2573571875 2583984375 2779457625 2813671875 3038765625 3308878125 3322265625 3349609375 3573588375 3603000625 3617578125 3891240675 3939140625 4254271875 4306640625 4632429375 4651171875 4689453125 5003023725 5064609375 5514796875 5537109375 5955980625 6029296875 6485401125 6511640625 6565234375 7004233215 7090453125 7720715625 7751953125 8338372875 8441015625 9116296875 9191328125 9926634375 10048828125 10809001875 10852734375 11673722025 11817421875 12762815625 12867859375 12919921875 13897288125 14068359375 15193828125 16544390625 16611328125 17867941875 18015003125 18087890625 19456203375 19695703125 21271359375 23162146875 23255859375 23447265625 25015118625 25323046875 27573984375 29779903125 30146484375 32427005625 32558203125 32826171875 35021166075 35452265625 38603578125 38759765625 41691864375 42205078125 45581484375 45956640625 49633171875 54045009375 54263671875 58368610125 59087109375 63814078125 64339296875 69486440625 70341796875 75969140625 82721953125 89339709375 90075015625 90439453125 97281016875 98478515625 106356796875 115810734375 116279296875 125075593125 126615234375 137869921875 148899515625 162135028125 162791015625 164130859375 175105830375 177261328125 193017890625 208459321875 211025390625 227907421875 229783203125 248165859375 270225046875 271318359375 291843050625 295435546875 319070390625 321696484375 347432203125 379845703125 413609765625 446698546875 450375078125 486405084375 492392578125 531783984375 579053671875 625377965625 633076171875 689349609375 744497578125 810675140625 813955078125 875529151875 886306640625 965089453125 1042296609375 1139537109375 1148916015625 1240829296875 1351125234375 1459215253125 1477177734375 1595351953125 1608482421875 1737161015625 1899228515625 2068048828125 2233492734375 2251875390625 2432025421875 2658919921875 2895268359375 3126889828125 3446748046875 3722487890625 4053375703125 4377645759375 4431533203125 4825447265625 5211483046875 5697685546875 6204146484375 6755626171875 7296076265625 7976759765625 8042412109375 8685805078125 10340244140625 11167463671875 11259376953125 12160127109375 13294599609375 14476341796875 15634449140625 18612439453125 20266878515625 21888228796875 24127236328125 26057415234375 31020732421875 33778130859375 36480381328125 39883798828125 43429025390625 55837318359375 56296884765625 60800635546875 72381708984375 78172245703125 93062197265625 101334392578125 109441143984375 130287076171875 168890654296875 182401906640625 217145126953125 279186591796875 304003177734375 390861228515625 506671962890625 547205719921875 651435380859375 912009533203125 1520015888671875 1954306142578125 2736028599609375 4560047666015625 13680142998046875
- Sum of all divisors σ(n): 29884261643829684
- Sum of proper divisors (its aliquot sum) s(n): 16204118645782809
- 13680142998046875 is an abundant number, because the sum of its proper divisors (16204118645782809) is greater than itself. Its abundance is 2523975647735934
Bases of 13680142998046875
- Binary: 1100001001101000000100011111111110000000001000100110112
- Hexadecimal: 0x309A047FE0089B
- Base-36: 3QP7EXM7MOR
Squares and roots of 13680142998046875
- 13680142998046875 squared (136801429980468752) is 187146312447010941410064697265625
- 13680142998046875 cubed (136801429980468753) is 2560188315832269459556238452903926372528076171875
-
The
square root of 13680142998046875 is 116962143.4398620919 -
The
cube root of 13680142998046875 is 239164.5896152821
Scales and comparisons
How big is 13680142998046875?- 13,680,142,998,046,875 seconds is equal to 434,986,231 years, 45 weeks, 4 days, 7 hours, 41 minutes, 15 seconds.
-
To count from 1 to 13,680,142,998,046,875 would take you about one billion, three hundred four million, nine hundred fifty-eight thousand, six hundred ninety-five 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 13680142998046875 cubic inches would be around 19930.4 feet tall.
Recreational maths with 13680142998046875
- 13680142998046875 backwards is 57864089924108631
- 13680142998046875 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13680142998046875's digits is 81
- More coming soon!
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