13948518820040400
13,948,518,820,040,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 13948518820040400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 2160 divisors.
13948518820040400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of two thousand, one hundred sixty divisors.
Prime factorization of 13948518820040400:
24 × 3 × 52 × 172 × 292 × 793 × 97
(2 × 2 × 2 × 2 × 3 × 5 × 5 × 17 × 17 × 29 × 29 × 79 × 79 × 79 × 97)See below for interesting mathematical facts about the number 13948518820040400 from the Numbermatics database.
Names of 13948518820040400
- Cardinal: 13948518820040400 can be written as Thirteen quadrillion, nine hundred forty-eight trillion, five hundred eighteen billion, eight hundred twenty million, forty thousand, four hundred.
Scientific notation
- Scientific notation: 1.39485188200404 × 1016
Factors of 13948518820040400
Divisors of 13948518820040400
- Number of divisors d(n): 2160
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Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 29 30 34 40 48 50 51 58 60 68 75 79 80 85 87 97 100 102 116 120 136 145 150 158 170 174 194 200 204 232 237 240 255 272 289 290 291 300 316 340 348 388 395 400 408 425 435 464 474 485 493 510 578 580 582 600 632 680 696 725 776 790 816 841 850 867 870 948 970 986 1020 1156 1160 1164 1185 1200 1264 1275 1343 1360 1392 1445 1450 1455 1479 1552 1580 1649 1682 1700 1734 1740 1896 1940 1972 1975 2040 2175 2291 2312 2320 2328 2370 2425 2465 2523 2550 2686 2813 2890 2900 2910 2958 3160 3298 3364 3400 3468 3480 3792 3880 3944 3950 4029 4080 4205 4335 4350 4582 4624 4656 4740 4850 4930 4947 5046 5100 5372 5626 5780 5800 5820 5916 5925 6241 6320 6596 6715 6728 6800 6873 6936 6960 7225 7275 7395 7663 7760 7888 7900 8058 8245 8381 8410 8439 8670 8700 9164 9480 9700 9860 9894 10092 10200 10744 11252 11455 11560 11600 11640 11832 11850 12325 12482 12615 13192 13430 13456 13746 13872 14065 14297 14450 14550 14790 15326 15800 16116 16490 16762 16820 16878 17340 17400 18328 18723 18960 19400 19720 19788 20145 20184 20400 21025 21488 21675 22504 22831 22910 22989 23120 23280 23664 23700 24650 24735 24964 25143 25230 26384 26860 27492 28033 28130 28594 28900 29100 29580 30652 31205 31600 32232 32980 33524 33575 33640 33756 34365 34680 34800 36656 36975 37446 38315 38800 38947 39440 39576 40290 40368 41225 41905 42050 42195 42891 43350 45008 45662 45820 45978 47400 47821 49300 49470 49928 50286 50460 53720 54984 56066 56260 57188 57275 57800 58200 59160 61304 62410 63075 64464 65960 66439 67048 67150 67280 67512 68493 68730 69360 70325 71485 73950 74892 76630 77894 79152 80580 81577 82450 83810 84099 84100 84390 85782 86700 91324 91640 91956 93615 94800 95642 98600 98940 99856 100572 100725 100920 106097 107440 109968 112132 112520 114155 114376 114550 114945 115600 116400 116841 118320 122608 123675 124820 125715 126150 130271 131920 132878 134096 134300 135024 136986 137460 140165 140650 142970 143463 147900 149784 153260 155788 156025 161160 163154 164900 167620 168198 168200 168780 171564 171825 173400 180989 182648 183280 183912 187230 191284 191575 194735 197200 197880 199317 201144 201450 201840 209525 210975 212194 214455 222227 224264 225040 228310 228752 229100 229890 233682 239105 243049 244731 247350 249640 251430 252300 260542 265756 268600 273972 274920 280330 281300 285940 286926 295800 299568 306520 311576 312050 318291 322320 326308 329800 332195 335240 336396 336400 337560 342465 343128 343650 346800 357425 361978 365296 367824 374460 382568 383150 389470 390813 395760 398634 402288 402900 407885 419050 420495 421950 424388 428910 444454 448528 456620 458200 459780 467364 468075 478210 486098 489462 493039 494700 499280 502860 504600 521084 530485 531512 537200 542967 547944 549840 560660 562600 570775 571880 573852 574725 584205 591600 605377 613040 623152 624100 628575 636582 651355 652616 659600 662099 664390 666681 670480 672792 675120 684930 686256 687300 700825 714850 717315 723956 729147 748920 765136 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60122925948450 68375092255100 69742594100202 71899581546600 80163901264600 82050110706120 88281764683800 92990125466936 96196681517520 102562638382650 116237656833670 120245851896900 136750184510200 139485188200404 143799163093200 160327802529200 164100221412240 174356485250505 176563529367600 185980250933872 205125276765300 232475313667340 240491703793800 273500369020400 278970376400808 290594142084175 348712970501010 410250553530600 464950627334680 480983407587600 557940752801616 581188284168350 697425941002020 820501107061200 871782426252525 929901254669360 1162376568336700 1394851882004040 1743564852505050 2324753136673400 2789703764008080 3487129705010100 4649506273346800 6974259410020200 13948518820040400
- Sum of all divisors σ(n): 50301361070455040
- Sum of proper divisors (its aliquot sum) s(n): 36352842250414640
- 13948518820040400 is an abundant number, because the sum of its proper divisors (36352842250414640) is greater than itself. Its abundance is 22404323430374240
Bases of 13948518820040400
- Binary: 1100011000111000011010100111010110100101001110110100002
- Hexadecimal: 0x318E1A9D694ED0
- Base-36: 3TCC531D9LC
Squares and roots of 13948518820040400
- 13948518820040400 squared (139485188200404002) is 194561177273021232720657632160000
- 13948518820040400 cubed (139485188200404003) is 2713840242841953214425522842762311819539264000000
-
The
square root of 13948518820040400 is 118103847.6089598023 -
The
cube root of 13948518820040400 is 240718.4422139765
Scales and comparisons
How big is 13948518820040400?- 13,948,518,820,040,400 seconds is equal to 443,519,752 years, 45 weeks, 3 days, 18 hours, 20 minutes.
-
To count from 1 to 13,948,518,820,040,400 would take you about one billion, three hundred thirty million, five hundred fifty-nine thousand, two hundred fifty-eight 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 13948518820040400 cubic inches would be around 20059.9 feet tall.
Recreational maths with 13948518820040400
- 13948518820040400 backwards is 00404002881584931
- The number of decimal digits it has is: 17
- The sum of 13948518820040400's digits is 57
- More coming soon!
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The information we have on file for 13948518820040400 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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