13914896472646400
13,914,896,472,646,400 is an even composite number composed of five prime numbers multiplied together.
13914896472646400 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred twenty-four divisors.
Prime factorization of 13914896472646400:
28 × 52 × 72 × 11 × 4033771009
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 7 × 7 × 11 × 4033771009)See below for interesting mathematical facts about the number 13914896472646400 from the Numbermatics database.
Names of 13914896472646400
- Cardinal: 13914896472646400 can be written as Thirteen quadrillion, nine hundred fourteen trillion, eight hundred ninety-six billion, four hundred seventy-two million, six hundred forty-six thousand, four hundred.
Scientific notation
- Scientific notation: 1.39148964726464 × 1016
Factors of 13914896472646400
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 4033771034
Divisors of 13914896472646400
- Number of divisors d(n): 324
-
Complete list of divisors:
1 2 4 5 7 8 10 11 14 16 20 22 25 28 32 35 40 44 49 50 55 56 64 70 77 80 88 98 100 110 112 128 140 154 160 175 176 196 200 220 224 245 256 275 280 308 320 350 352 385 392 400 440 448 490 539 550 560 616 640 700 704 770 784 800 880 896 980 1078 1100 1120 1225 1232 1280 1400 1408 1540 1568 1600 1760 1792 1925 1960 2156 2200 2240 2450 2464 2695 2800 2816 3080 3136 3200 3520 3850 3920 4312 4400 4480 4900 4928 5390 5600 6160 6272 6400 7040 7700 7840 8624 8800 8960 9800 9856 10780 11200 12320 12544 13475 14080 15400 15680 17248 17600 19600 19712 21560 22400 24640 26950 30800 31360 34496 35200 39200 43120 44800 49280 53900 61600 62720 68992 70400 78400 86240 98560 107800 123200 137984 156800 172480 215600 246400 313600 344960 431200 492800 689920 862400 1724800 3449600 4033771009 8067542018 16135084036 20168855045 28236397063 32270168072 40337710090 44371481099 56472794126 64540336144 80675420180 88742962198 100844275225 112945588252 129080672288 141181985315 161350840360 177485924396 197654779441 201688550450 221857405495 225891176504 258161344576 282363970630 310600367693 322701680720 354971848792 395309558882 403377100900 443714810990 451782353008 516322689152 564727941260 621200735386 645403361440 705909926575 709943697584 790619117764 806754201800 887429621980 903564706016 988273897205 1032645378304 1109287027475 1129455882520 1242401470772 1290806722880 1411819853150 1419887395168 1553001838465 1581238235528 1613508403600 1774859243960 1807129412032 1976547794410 2174202573851 2218574054950 2258911765040 2484802941544 2581613445760 2823639706300 2839774790336 3106003676930 3162476471056 3227016807200 3549718487920 3614258824064 3953095588820 4348405147702 4437148109900 4517823530080 4941369486025 4969605883088 5163226891520 5647279412600 5679549580672 6212007353860 6324952942112 6454033614400 7099436975840 7228517648128 7765009192325 7906191177640 8696810295404 8874296219800 9035647060160 9882738972050 9939211766176 10871012869255 11294558825200 11359099161344 12424014707720 12649905884224 12908067228800 14198873951680 15530018384650 15812382355280 17393620590808 17748592439600 18071294120320 19765477944100 19878423532352 21742025738510 22589117650400 24848029415440 25299811768448 25816134457600 28397747903360 31060036769300 31624764710560 34787241181616 35497184879200 36142588240640 39530955888200 39756847064704 43484051477020 45178235300800 49696058830880 50599623536896 54355064346275 56795495806720 62120073538600 63249529421120 69574482363232 70994369758400 79061911776400 79513694129408 86968102954040 90356470601600 99392117661760 108710128692550 124240147077200 126499058842240 139148964726464 141988739516800 158123823552800 173936205908080 180712941203200 198784235323520 217420257385100 248480294154400 252998117684480 278297929452928 283977479033600 316247647105600 347872411816160 397568470647040 434840514770200 496960588308800 556595858905856 632495294211200 695744823632320 869681029540400 993921176617600 1264990588422400 1391489647264640 1739362059080800 1987842353235200 2782979294529280 3478724118161600 6957448236323200 13914896472646400
- Sum of all divisors σ(n): 43706893133476440
- Sum of proper divisors (its aliquot sum) s(n): 29791996660830040
- 13914896472646400 is an abundant number, because the sum of its proper divisors (29791996660830040) is greater than itself. Its abundance is 15877100188183640
Bases of 13914896472646400
- Binary: 1100010110111110000110010011010101011010100011000000002
- Hexadecimal: 0x316F864D56A300
- Base-36: 3T0F36VU03K
Squares and roots of 13914896472646400
- 13914896472646400 squared (139148964726464002) is 193624343844467224943419432960000
- 13914896472646400 cubed (139148964726464003) is 2694262699179850680945881081514770838585344000000
-
The
square root of 13914896472646400 is 117961419.4245152341 -
The
cube root of 13914896472646400 is 240524.8725370309
Scales and comparisons
How big is 13914896472646400?- 13,914,896,472,646,400 seconds is equal to 442,450,666 years, 11 weeks, 6 days, 11 hours, 33 minutes, 20 seconds.
-
To count from 1 to 13,914,896,472,646,400 would take you about one billion, three hundred twenty-seven million, three hundred fifty-one thousand, nine hundred ninety-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 13914896472646400 cubic inches would be around 20043.7 feet tall.
Recreational maths with 13914896472646400
- 13914896472646400 backwards is 00464627469841931
- The number of decimal digits it has is: 17
- The sum of 13914896472646400's digits is 74
- More coming soon!
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