13648136892416000
13,648,136,892,416,000 is an even composite number composed of six prime numbers multiplied together.
What does the number 13648136892416000 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 3072 divisors.
13648136892416000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three thousand and seventy-two divisors.
Prime factorization of 13648136892416000:
215 × 53 × 133 × 232 × 47 × 61
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 13 × 13 × 13 × 23 × 23 × 47 × 61)See below for interesting mathematical facts about the number 13648136892416000 from the Numbermatics database.
Names of 13648136892416000
- Cardinal: 13648136892416000 can be written as Thirteen quadrillion, six hundred forty-eight trillion, one hundred thirty-six billion, eight hundred ninety-two million, four hundred sixteen thousand.
Scientific notation
- Scientific notation: 1.3648136892416 × 1016
Factors of 13648136892416000
Divisors of 13648136892416000
- Number of divisors d(n): 3072
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Complete list of divisors:
1 2 4 5 8 10 13 16 20 23 25 26 32 40 46 47 50 52 61 64 65 80 92 94 100 104 115 122 125 128 130 160 169 184 188 200 208 230 235 244 250 256 260 299 305 320 325 338 368 376 400 416 460 470 488 500 512 520 529 575 598 610 611 640 650 676 736 752 793 800 832 845 920 940 976 1000 1024 1040 1058 1081 1150 1175 1196 1220 1222 1280 1300 1352 1403 1472 1495 1504 1525 1586 1600 1625 1664 1690 1840 1880 1952 2000 2048 2080 2116 2162 2197 2300 2350 2392 2440 2444 2560 2600 2645 2704 2806 2867 2875 2944 2990 3008 3050 3055 3172 3200 3250 3328 3380 3680 3760 3887 3904 3965 4000 4096 4160 4225 4232 4324 4394 4600 4700 4784 4880 4888 5120 5200 5290 5405 5408 5612 5734 5750 5875 5888 5980 6016 6100 6110 6344 6400 6500 6656 6760 6877 7015 7360 7475 7520 7625 7774 7808 7930 7943 8000 8192 8320 8450 8464 8648 8788 9200 9400 9568 9760 9776 10240 10309 10400 10580 10810 10816 10985 11224 11468 11500 11750 11776 11960 12032 12200 12220 12688 12800 13000 13225 13312 13520 13754 14030 14053 14335 14720 14950 15040 15250 15275 15548 15616 15860 15886 16000 16384 16640 16900 16928 17296 17576 18239 18400 18800 19136 19435 19520 19552 19825 20480 20618 20800 21125 21160 21620 21632 21970 22448 22936 23000 23500 23552 23920 24064 24400 24440 24863 25376 25600 26000 26450 26624 27025 27040 27508 28060 28106 28670 29440 29900 30080 30500 30550 31096 31232 31720 31772 32000 32269 32768 33280 33800 33856 34385 34592 35075 35152 36478 36800 37271 37375 37600 38272 38870 39040 39104 39650 39715 40960 41236 41600 42250 42320 43240 43264 43940 44896 45872 46000 47000 47104 47840 48128 48800 48880 49726 50531 50752 51200 51545 52000 52900 53248 54050 54080 54925 55016 56120 56212 57340 58880 59800 60160 61000 61100 62192 62464 63440 63544 64000 64538 65941 66125 66560 67600 67712 68770 69184 70150 70265 70304 71675 72956 73600 74542 74750 75200 76375 76544 77740 78080 78208 79300 79430 81920 82472 83200 84500 84640 86480 86528 87880 89401 89792 91195 91744 92000 94000 94208 95680 96256 97175 97600 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8530085557760 8605382656000 8949597962240 9074559104000 9129188556800 9271832128000 9727823872000 10094775808000 10498566840320 10662606947200 11168688128000 11186997452800 11411485696000 11615435653120 11867945123840 12625473536000 12899940352000 13123208550400 13328258684000 13648136892416 13983746816000 14519294566400 14834931404800 16151641292800 16404010688000 17060171115520 17210765312000 18149118208000 18543664256000 20189551616000 20997133680640 21325213894400 22337376256000 22373994905600 22822971392000 23735890247680 25799880704000 26246417100800 26656517368000 27296273784832 27967493632000 29038589132800 29669862809600 32808021376000 34120342231040 36298236416000 37087328512000 40379103232000 41994267361280 42650427788800 44747989811200 45645942784000 52492834201600 53313034736000 54592547569664 55934987264000 58077178265600 59339725619200 65616042752000 68240684462080 72596472832000 74174657024000 80758206464000 85300855577600 104985668403200 106626069472000 109185095139328 111869974528000 118679451238400 131232085504000 136481368924160 145192945664000 148349314048000 170601711155200 209971336806400 213252138944000 223739949056000 262464171008000 272962737848320 290385891328000 296698628096000 341203422310400 426504277888000 524928342016000 545925475696640 593397256192000 682406844620800 853008555776000 1049856684032000 1364813689241600 1706017111552000 2729627378483200 3412034223104000 6824068446208000 13648136892416000
- Sum of all divisors σ(n): 40043581821734400
- Sum of proper divisors (its aliquot sum) s(n): 26395444929318400
- 13648136892416000 is an abundant number, because the sum of its proper divisors (26395444929318400) is greater than itself. Its abundance is 12747308036902400
Bases of 13648136892416000
- Binary: 1100000111110011101000011111110101000110000000000000002
- Hexadecimal: 0x307CE87F518000
- Base-36: 3QDUZJ5AJ28
Squares and roots of 13648136892416000
- 13648136892416000 squared (136481368924160002) is 186271640634126669558317056000000
- 13648136892416000 cubed (136481368924160003) is 2542260850549479475503757051962689847296000000000
-
The
square root of 13648136892416000 is 116825240.8189942487 -
The
cube root of 13648136892416000 is 238977.9272252415
Scales and comparisons
How big is 13648136892416000?- 13,648,136,892,416,000 seconds is equal to 433,968,536 years, 37 weeks, 2 days, 22 hours, 13 minutes, 20 seconds.
-
To count from 1 to 13,648,136,892,416,000 would take you about one billion, three hundred one million, nine hundred five thousand, six hundred ten 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 13648136892416000 cubic inches would be around 19914.8 feet tall.
Recreational maths with 13648136892416000
- 13648136892416000 backwards is 00061429863184631
- The number of decimal digits it has is: 17
- The sum of 13648136892416000's digits is 62
- More coming soon!
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"Number 13648136892416000 - Facts about the integer". Numbermatics.com. 2024. Web. 25 June 2024.
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Numbermatics. (2024). Number 13648136892416000 - Facts about the integer. Retrieved 25 June 2024, from https://numbermatics.com/n/13648136892416000/
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The information we have on file for 13648136892416000 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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