13901134983287200
13,901,134,983,287,200 is an even composite number composed of six prime numbers multiplied together.
What does the number 13901134983287200 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 288 divisors.
13901134983287200 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 13901134983287200:
25 × 52 × 11 × 23 × 53 × 1295877301
(2 × 2 × 2 × 2 × 2 × 5 × 5 × 11 × 23 × 53 × 1295877301)See below for interesting mathematical facts about the number 13901134983287200 from the Numbermatics database.
Names of 13901134983287200
- Cardinal: 13901134983287200 can be written as Thirteen quadrillion, nine hundred one trillion, one hundred thirty-four billion, nine hundred eighty-three million, two hundred eighty-seven thousand, two hundred.
Scientific notation
- Scientific notation: 1.39011349832872 × 1016
Factors of 13901134983287200
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 1295877395
Divisors of 13901134983287200
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 4 5 8 10 11 16 20 22 23 25 32 40 44 46 50 53 55 80 88 92 100 106 110 115 160 176 184 200 212 220 230 253 265 275 352 368 400 424 440 460 506 530 550 575 583 736 800 848 880 920 1012 1060 1100 1150 1166 1219 1265 1325 1696 1760 1840 2024 2120 2200 2300 2332 2438 2530 2650 2915 3680 4048 4240 4400 4600 4664 4876 5060 5300 5830 6095 6325 8096 8480 8800 9200 9328 9752 10120 10600 11660 12190 12650 13409 14575 18400 18656 19504 20240 21200 23320 24380 25300 26818 29150 30475 39008 40480 42400 46640 48760 50600 53636 58300 60950 67045 93280 97520 101200 107272 116600 121900 134090 195040 202400 214544 233200 243800 268180 335225 429088 466400 487600 536360 670450 975200 1072720 1340900 2145440 2681800 5363600 10727200 1295877301 2591754602 5183509204 6479386505 10367018408 12958773010 14254650311 20734036816 25917546020 28509300622 29805177923 32396932525 41468073632 51835092040 57018601244 59610355846 64793865050 68681496953 71273251555 103670184080 114037202488 119220711692 129587730100 137362993906 142546503110 149025889615 207340368160 228074404976 238441423384 259175460200 274725987812 285093006220 298051779230 327856957153 343407484765 356366257775 456148809952 476882846768 518350920400 549451975624 570186012440 596103558460 655713914306 686814969530 712732515550 745129448075 755496466483 953765693536 1036701840800 1098903951248 1140372024880 1192207116920 1311427828612 1373629939060 1425465031100 1490258896150 1510992932966 1579674429919 1639284785765 1717037423825 2197807902496 2280744049760 2384414233840 2622855657224 2747259878120 2850930062200 2980517792300 3021985865932 3159348859838 3278569571530 3434074847650 3777482332415 4768828467680 5245711314448 5494519756240 5701860124400 5961035584600 6043971731864 6318697719676 6557139143060 6868149695300 7554964664830 7898372149595 8196423928825 10491422628896 10989039512480 11403720248800 11922071169200 12087943463728 12637395439352 13114278286120 13736299390600 15109929329660 15796744299190 16392847857650 17376418729109 18887411662075 23844142338400 24175886927456 25274790878704 26228556572240 27472598781200 30219858659320 31593488598380 32785695715300 34752837458218 37774823324150 39491860747975 50549581757408 52457113144480 54945197562400 60439717318640 63186977196760 65571391430600 69505674916436 75549646648300 78983721495950 86882093645545 120879434637280 126373954393520 131142782861200 139011349832872 151099293296600 157967442991900 173764187291090 252747908787040 262285565722400 278022699665744 302198586593200 315934885983800 347528374582180 434410468227725 556045399331488 604397173186400 631869771967600 695056749164360 868820936455450 1263739543935200 1390113498328720 1737641872910900 2780226996657440 3475283745821800 6950567491643600 13901134983287200
- Sum of all divisors σ(n): 39359753862774912
- Sum of proper divisors (its aliquot sum) s(n): 25458618879487712
- 13901134983287200 is an abundant number, because the sum of its proper divisors (25458618879487712) is greater than itself. Its abundance is 11557483896200512
Bases of 13901134983287200
- Binary: 1100010110001100000010001101001010011101010001101000002
- Hexadecimal: 0x31630234A751A0
- Base-36: 3SVJH90DOKG
Squares and roots of 13901134983287200
- 13901134983287200 squared (139011349832872002) is 193241553823571222223317683840000
- 13901134983287200 cubed (139011349832872003) is 2686276924081622301498758148173294613518848000000
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The
square root of 13901134983287200 is 117903074.5285601107 -
The
cube root of 13901134983287200 is 240445.5553284677
Scales and comparisons
How big is 13901134983287200?- 13,901,134,983,287,200 seconds is equal to 442,013,093 years, 22 weeks, 4 days, 6 hours, 26 minutes, 40 seconds.
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To count from 1 to 13,901,134,983,287,200 would take you about one billion, three hundred twenty-six million, thirty-nine thousand, two hundred eighty 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 13901134983287200 cubic inches would be around 20037.1 feet tall.
Recreational maths with 13901134983287200
- 13901134983287200 backwards is 00278238943110931
- The number of decimal digits it has is: 17
- The sum of 13901134983287200's digits is 61
- More coming soon!
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