14480927984116800
14,480,927,984,116,800 is an even composite number composed of five prime numbers multiplied together.
14480927984116800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of four hundred twenty divisors.
Prime factorization of 14480927984116800:
26 × 34 × 52 × 19 × 5880818707
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 19 × 5880818707)See below for interesting mathematical facts about the number 14480927984116800 from the Numbermatics database.
Names of 14480927984116800
- Cardinal: 14480927984116800 can be written as Fourteen quadrillion, four hundred eighty trillion, nine hundred twenty-seven billion, nine hundred eighty-four million, one hundred sixteen thousand, eight hundred.
Scientific notation
- Scientific notation: 1.44809279841168 × 1016
Factors of 14480927984116800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 5880818736
Divisors of 14480927984116800
- Number of divisors d(n): 420
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 25 27 30 32 36 38 40 45 48 50 54 57 60 64 72 75 76 80 81 90 95 96 100 108 114 120 135 144 150 152 160 162 171 180 190 192 200 216 225 228 240 270 285 288 300 304 320 324 342 360 380 400 405 432 450 456 475 480 513 540 570 576 600 608 648 675 684 720 760 800 810 855 864 900 912 950 960 1026 1080 1140 1200 1216 1296 1350 1368 1425 1440 1520 1539 1600 1620 1710 1728 1800 1824 1900 2025 2052 2160 2280 2400 2565 2592 2700 2736 2850 2880 3040 3078 3240 3420 3600 3648 3800 4050 4104 4275 4320 4560 4800 5130 5184 5400 5472 5700 6080 6156 6480 6840 7200 7600 7695 8100 8208 8550 8640 9120 10260 10800 10944 11400 12312 12825 12960 13680 14400 15200 15390 16200 16416 17100 18240 20520 21600 22800 24624 25650 25920 27360 30400 30780 32400 32832 34200 38475 41040 43200 45600 49248 51300 54720 61560 64800 68400 76950 82080 91200 98496 102600 123120 129600 136800 153900 164160 205200 246240 273600 307800 410400 492480 615600 820800 1231200 2462400 5880818707 11761637414 17642456121 23523274828 29404093535 35284912242 47046549656 52927368363 58808187070 70569824484 88212280605 94093099312 105854736726 111735555433 117616374140 141139648968 147020467675 158782105089 176424561210 188186198624 211709473452 223471110866 235232748280 264636841815 282279297936 294040935350 317564210178 335206666299 352849122420 376372397248 423418946904 441061403025 446942221732 470465496560 476346315267 529273683630 558677777165 564558595872 588081870700 635128420356 670413332598 705698244840 793910525445 846837893808 882122806050 893884443464 940930993120 952692630534 1005619998897 1058547367260 1117355554330 1129117191744 1176163741400 1270256840712 1323184209075 1340826665196 1411396489680 1587821050890 1676033331495 1693675787616 1764245612100 1787768886928 1881861986240 1905385261068 2011239997794 2117094734520 2234711108660 2352327482800 2381731576335 2540513681424 2646368418150 2681653330392 2793388885825 2822792979360 3016859996691 3175642101780 3352066662990 3387351575232 3528491224200 3575537773856 3810770522136 3969552627225 4022479995588 4234189469040 4469422217320 4704654965600 4763463152670 5028099994485 5081027362848 5292736836300 5363306660784 5586777771650 5645585958720 6033719993382 6351284203560 6704133325980 7056982448400 7151075547712 7621541044272 7939105254450 8044959991176 8380166657475 8468378938080 8938844434640 9050579990073 9409309931200 9526926305340 10056199988970 10162054725696 10585473672600 10726613321568 11173555543300 11908657881675 12067439986764 12702568407120 13408266651960 14113964896800 15084299983455 15243082088544 15878210508900 16089919982352 16760333314950 16936757876160 17877688869280 18101159980146 19053852610680 20112399977940 21170947345200 21453226643136 22347111086600 23817315763350 24134879973528 25140499972425 25405136814240 26816533303920 28227929793600 30168599966910 30486164177088 31756421017800 32179839964704 33520666629900 35755377738560 36202319960292 38107705221360 40224799955880 42341894690400 44694222173200 45252899950365 47634631526700 48269759947056 50280999944850 50810273628480 53633066607840 60337199933820 63512842035600 64359679929408 67041333259800 72404639920584 75421499917275 76215410442720 80449599911760 84683789380800 89388444346400 90505799900730 95269263053400 96539519894112 100561999889700 107266133215680 120674399867640 127025684071200 134082666519600 144809279841168 150842999834550 152430820885440 160899199823520 178776888692800 181011599801460 190538526106800 193079039788224 201123999779400 226264499751825 241348799735280 254051368142400 268165333039200 289618559682336 301685999669100 321798399647040 362023199602920 381077052213600 402247999558800 452528999503650 482697599470560 536330666078400 579237119364672 603371999338200 724046399205840 762154104427200 804495999117600 905057999007300 965395198941120 1206743998676400 1448092798411680 1608991998235200 1810115998014600 2413487997352800 2896185596823360 3620231996029200 4826975994705600 7240463992058400 14480927984116800
- Sum of all divisors σ(n): 56029735473218320
- Sum of proper divisors (its aliquot sum) s(n): 41548807489101520
- 14480927984116800 is an abundant number, because the sum of its proper divisors (41548807489101520) is greater than itself. Its abundance is 27067879504984720
Bases of 14480927984116800
- Binary: 1100110111001001010011110010001000001011100100010000002
- Hexadecimal: 0x337253C882E440
- Base-36: 3YL26H79G00
Squares and roots of 14480927984116800
- 14480927984116800 squared (144809279841168002) is 209697275281177049033076042240000
- 14480927984116800 cubed (144809279841168003) is 3036611141812240839554452481000245325893632000000
-
The
square root of 14480927984116800 is 120336727.4946298347 -
The
cube root of 14480927984116800 is 243742.9882693495
Scales and comparisons
How big is 14480927984116800?- 14,480,927,984,116,800 seconds is equal to 460,448,717 years, 23 weeks, 12 hours.
-
To count from 1 to 14,480,927,984,116,800 would take you about one billion, three hundred eighty-one million, three hundred forty-six thousand, one hundred fifty-two 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 14480927984116800 cubic inches would be around 20311.9 feet tall.
Recreational maths with 14480927984116800
- 14480927984116800 backwards is 00861148972908441
- 14480927984116800 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 14480927984116800's digits is 72
- More coming soon!
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The information we have on file for 14480927984116800 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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