13225745187072000
13,225,745,187,072,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 13225745187072000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 3456 divisors.
13225745187072000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three thousand, four hundred fifty-six divisors.
Prime factorization of 13225745187072000:
211 × 33 × 53 × 115 × 1092
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 5 × 11 × 11 × 11 × 11 × 11 × 109 × 109)See below for interesting mathematical facts about the number 13225745187072000 from the Numbermatics database.
Names of 13225745187072000
- Cardinal: 13225745187072000 can be written as Thirteen quadrillion, two hundred twenty-five trillion, seven hundred forty-five billion, one hundred eighty-seven million, seventy-two thousand.
Scientific notation
- Scientific notation: 1.3225745187072 × 1016
Factors of 13225745187072000
Divisors of 13225745187072000
- Number of divisors d(n): 3456
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Complete list of divisors:
1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 25 27 30 32 33 36 40 44 45 48 50 54 55 60 64 66 72 75 80 88 90 96 99 100 108 109 110 120 121 125 128 132 135 144 150 160 165 176 180 192 198 200 216 218 220 225 240 242 250 256 264 270 275 288 297 300 320 327 330 352 360 363 375 384 396 400 432 436 440 450 480 484 495 500 512 528 540 545 550 576 594 600 605 640 654 660 675 704 720 726 750 768 792 800 825 864 872 880 900 960 968 981 990 1000 1024 1056 1080 1089 1090 1100 1125 1152 1188 1199 1200 1210 1280 1308 1320 1331 1350 1375 1408 1440 1452 1485 1500 1536 1584 1600 1635 1650 1728 1744 1760 1800 1815 1920 1936 1962 1980 2000 2048 2112 2160 2178 2180 2200 2250 2304 2376 2398 2400 2420 2475 2560 2616 2640 2662 2700 2725 2750 2816 2880 2904 2943 2970 3000 3025 3072 3168 3200 3267 3270 3300 3375 3456 3488 3520 3597 3600 3630 3840 3872 3924 3960 3993 4000 4125 4224 4320 4356 4360 4400 4500 4608 4752 4796 4800 4840 4905 4950 5120 5232 5280 5324 5400 5445 5450 5500 5632 5760 5808 5886 5940 5995 6000 6050 6144 6336 6400 6534 6540 6600 6655 6750 6912 6976 7040 7194 7200 7260 7425 7680 7744 7848 7920 7986 8000 8175 8250 8448 8640 8712 8720 8800 9000 9075 9216 9504 9592 9600 9680 9810 9900 10240 10464 10560 10648 10791 10800 10890 10900 11000 11264 11520 11616 11772 11880 11881 11979 11990 12000 12100 12375 12672 12800 13068 13080 13189 13200 13310 13500 13625 13824 13952 14080 14388 14400 14520 14641 14715 14850 15125 15360 15488 15696 15840 15972 16000 16335 16350 16500 16896 17280 17424 17440 17600 17985 18000 18150 18432 19008 19184 19200 19360 19620 19800 19965 20928 21120 21296 21582 21600 21780 21800 22000 22528 23040 23232 23544 23760 23762 23958 23980 24000 24200 24525 24750 25344 25600 26136 26160 26378 26400 26620 27000 27225 27250 27648 27904 28160 28776 28800 29040 29282 29430 29700 29975 30250 30720 30976 31392 31680 31944 32000 32373 32670 32700 33000 33275 33792 34560 34848 34880 35200 35643 35937 35970 36000 36300 37125 38016 38368 38400 38720 39240 39567 39600 39930 40875 41856 42240 42592 43164 43200 43560 43600 43923 44000 45375 46080 46464 47088 47520 47524 47916 47960 48000 48400 49050 49500 50688 51200 52272 52320 52756 52800 53240 53955 54000 54450 54500 55296 55808 56320 57552 57600 58080 58564 58860 59400 59405 59895 59950 60500 61952 62784 63360 63888 64000 64746 65340 65400 65945 66000 66550 67584 69120 69696 69760 70400 71286 71874 71940 72000 72600 73205 73575 74250 76032 76736 76800 77440 78480 79134 79200 79860 81675 81750 83712 84480 85184 86328 86400 87120 87200 87846 88000 89925 90750 92160 92928 94176 95040 95048 95832 95920 96000 96800 98100 99000 99825 101376 104544 104640 105512 105600 106480 106929 107910 108000 108900 109000 111616 112640 115104 115200 116160 117128 117720 118701 118800 118810 119790 119900 121000 122625 123904 125568 126720 127776 128000 129492 130680 130691 130800 131769 131890 132000 133100 136125 138240 139392 139520 140800 142572 143748 143880 144000 145079 145200 146410 147150 148500 149875 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45922726344000 48093618862080 48984241433600 50097519648000 51663067137000 52902980748288 54651839616000 55107271612800 58781089720320 60117023577600 60668555904000 61230301792000 66128725935360 66796692864000 68884089516000 73476362150400 75146279472000 80156031436800 82660907419200 88171634580480 91845452688000 97968482867200 100195039296000 103326134274000 105805961496576 109303679232000 110214543225600 120234047155200 121337111808000 122460603584000 132257451870720 133593385728000 137768179032000 146952724300800 150292558944000 165321814838400 176343269160960 183690905376000 200390078592000 206652268548000 220429086451200 240468094310400 244921207168000 264514903741440 275536358064000 293905448601600 300585117888000 330643629676800 367381810752000 400780157184000 413304537096000 440858172902400 489842414336000 529029807482880 551072716128000 601170235776000 661287259353600 734763621504000 826609074192000 881716345804800 1102145432256000 1202340471552000 1322574518707200 1469527243008000 1653218148384000 2204290864512000 2645149037414400 3306436296768000 4408581729024000 6612872593536000 13225745187072000
- Sum of all divisors σ(n): 54281240555068800
- Sum of proper divisors (its aliquot sum) s(n): 41055495367996800
- 13225745187072000 is an abundant number, because the sum of its proper divisors (41055495367996800) is greater than itself. Its abundance is 27829750180924800
Bases of 13225745187072000
- Binary: 1011101111110010111110110000111100001111101000000000002
- Hexadecimal: 0x2EFCBEC3C3E800
- Base-36: 3M84VGLREO0
Squares and roots of 13225745187072000
- 13225745187072000 squared (132257451870720002) is 174920335753358172275933184000000
- 13225745187072000 cubed (132257451870720003) is 2313451788710995130239781932625452597248000000000
-
The
square root of 13225745187072000 is 115003239.8981524347 -
The
cube root of 13225745187072000 is 236486.6978146457
Scales and comparisons
How big is 13225745187072000?- 13,225,745,187,072,000 seconds is equal to 420,537,787 years, 1 week, 5 days.
-
To count from 1 to 13,225,745,187,072,000 would take you about one billion, two hundred sixty-one million, six hundred thirteen thousand, three hundred sixty-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 13225745187072000 cubic inches would be around 19707.2 feet tall.
Recreational maths with 13225745187072000
- 13225745187072000 backwards is 00027078154752231
- 13225745187072000 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 13225745187072000's digits is 54
- More coming soon!
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Cite this page
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"Number 13225745187072000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 13225745187072000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/13225745187072000/
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Numbermatics. 2024. "Number 13225745187072000 - Facts about the integer". https://numbermatics.com/n/13225745187072000/
The information we have on file for 13225745187072000 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 13225745187072000, math, Factors of 13225745187072000, curriculum, school, college, exams, university, Prime factorization of 13225745187072000, STEM, science, technology, engineering, physics, economics, calculator, thirteen quadrillion, two hundred twenty-five trillion, seven hundred forty-five billion, one hundred eighty-seven million, seventy-two thousand.