145013365728000
145,013,365,728,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 145013365728000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 4320 divisors.
145013365728000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of four thousand, three hundred twenty divisors.
Prime factorization of 145013365728000:
28 × 32 × 53 × 7 × 114 × 173
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 5 × 7 × 11 × 11 × 11 × 11 × 17 × 17 × 17)See below for interesting mathematical facts about the number 145013365728000 from the Numbermatics database.
Names of 145013365728000
- Cardinal: 145013365728000 can be written as One hundred forty-five trillion, thirteen billion, three hundred sixty-five million, seven hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.45013365728 × 1014
Factors of 145013365728000
Divisors of 145013365728000
- Number of divisors d(n): 4320
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 11 12 14 15 16 17 18 20 21 22 24 25 28 30 32 33 34 35 36 40 42 44 45 48 50 51 55 56 60 63 64 66 68 70 72 75 77 80 84 85 88 90 96 99 100 102 105 110 112 119 120 121 125 126 128 132 136 140 144 150 153 154 160 165 168 170 175 176 180 187 192 198 200 204 210 220 224 225 231 238 240 242 250 252 255 256 264 272 275 280 288 289 300 306 308 315 320 330 336 340 350 352 357 360 363 374 375 384 385 396 400 408 420 425 440 448 450 462 476 480 484 495 500 504 510 525 528 544 550 560 561 576 578 595 600 605 612 616 630 640 660 672 680 693 700 704 714 720 726 748 750 765 768 770 792 800 816 825 840 847 850 867 875 880 896 900 924 935 952 960 968 990 1000 1008 1020 1050 1056 1071 1088 1089 1100 1120 1122 1125 1152 1155 1156 1190 1200 1210 1224 1232 1260 1275 1280 1309 1320 1331 1344 1360 1375 1386 1400 1408 1428 1440 1445 1452 1496 1500 1530 1540 1575 1584 1600 1632 1650 1680 1683 1694 1700 1734 1750 1760 1785 1792 1800 1815 1848 1870 1904 1920 1925 1936 1980 2000 2016 2023 2040 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805629809600 823939578000 828647804160 853019798400 863174796000 878868883200 906333535800 941645232000 947799776000 966755771520 1007037262000 1035809755200 1066274748000 1098586104000 1132916919750 1150899728000 1160106925824 1198457568000 1208444714400 1218599712000 1294762194000 1318303324800 1381079673600 1421699664000 1450133657280 1464781472000 1510555893000 1611259619200 1647879156000 1706039596800 1726349592000 1812667071600 1883290464000 1933511543040 2014074524000 2071619510400 2132549496000 2197172208000 2265833839500 2301799456000 2416889428800 2589524388000 2636606649600 2843399328000 2900267314560 3021111786000 3222519238400 3295758312000 3452699184000 3625334143200 4028149048000 4143239020800 4265098992000 4394344416000 4531667679000 4833778857600 5179048776000 5800534629120 6042223572000 6591516624000 6905398368000 7250668286400 8056298096000 8530197984000 9063335358000 9667557715200 10358097552000 12084447144000 13183033248000 14501336572800 16112596192000 18126670716000 20716195104000 24168894288000 29002673145600 36253341432000 48337788576000 72506682864000 145013365728000
- Sum of all divisors σ(n): 696963556598400
- Sum of proper divisors (its aliquot sum) s(n): 551950190870400
- 145013365728000 is an abundant number, because the sum of its proper divisors (551950190870400) is greater than itself. Its abundance is 406936825142400
Bases of 145013365728000
- Binary: 1000001111100011100011100010011011100011000000002
- Hexadecimal: 0x83E38E26E300
- Base-36: 1FEI7XTJ40
Squares and roots of 145013365728000
- 145013365728000 squared (1450133657280002) is 21028876239762684969984000000
- 145013365728000 cubed (1450133657280003) is 3049468121005555651479538494308352000000000
-
The
square root of 145013365728000 is 12042149.5476513661 -
The
cube root of 145013365728000 is 52537.4928828399
Scales and comparisons
How big is 145013365728000?- 145,013,365,728,000 seconds is equal to 4,610,976 years, 24 weeks, 4 days, 16 hours.
-
To count from 1 to 145,013,365,728,000 would take you about eleven million, five hundred twenty-seven thousand, four hundred forty-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 145013365728000 cubic inches would be around 4378.1 feet tall.
Recreational maths with 145013365728000
- 145013365728000 backwards is 000827563310541
- 145013365728000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 145013365728000's digits is 45
- More coming soon!
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"Number 145013365728000 - Facts about the integer". Numbermatics.com. 2024. Web. 6 May 2024.
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Numbermatics. (2024). Number 145013365728000 - Facts about the integer. Retrieved 6 May 2024, from https://numbermatics.com/n/145013365728000/
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Numbermatics. 2024. "Number 145013365728000 - Facts about the integer". https://numbermatics.com/n/145013365728000/
The information we have on file for 145013365728000 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!
Keywords: Divisors of 145013365728000, math, Factors of 145013365728000, curriculum, school, college, exams, university, Prime factorization of 145013365728000, STEM, science, technology, engineering, physics, economics, calculator, one hundred forty-five trillion, thirteen billion, three hundred sixty-five million, seven hundred twenty-eight thousand.