13825237325328

Names of 13825237325328

• Cardinal: 13825237325328 can be written as Thirteen trillion, eight hundred twenty-five billion, two hundred thirty-seven million, three hundred twenty-five thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3825237325328 × 10¹³

Factors of 13825237325328

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 33381

Divisors of 13825237325328

• Number of divisors d(n): 400
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 81 88 99 104 108 117 132 143 144 156 162 176 198 208 216 234 264 286 297 312 324 351 396 429 432 468 528 572 594 624 648 702 792 858 891 936 1053 1144 1188 1287 1296 1404 1584 1716 1782 1872 2106 2288 2376 2411 2574 2808 3432 3564 3861 4212 4752 4822 5148 5616 6864 7128 7233 7722 8424 9644 10296 11583 14256 14466 15444 16848 19288 20592 21699 23166 26521 28932 30888 30941 31343 38576 43398 46332 53042 57864 61776 61882 62686 65097 79563 86796 92664 92823 94029 106084 115728 123764 125372 130194 159126 173592 185328 185646 188058 195291 212168 238689 247528 250744 260388 278469 282087 318252 340351 344773 347184 371292 376116 390582 402233 424336 477378 495056 501488 520776 556938 564174 636504 680702 689546 716067 742584 752232 781164 804466 835407 846261 954756 1021053 1034319 1041552 1113876 1128348 1206699 1273008 1361404 1379092 1432134 1485168 1504464 1562328 1608932 1670814 1692522 1909512 2042106 2068638 2148201 2227752 2256696 2413398 2506221 2538783 2722808 2758184 2864268 3063159 3102957 3124656 3217864 3341628 3385044 3620097 3819024 4084212 4137276 4296402 4424563 4455504 4513392 4826796 5012442 5077566 5445616 5516368 5728536 6126318 6205914 6435728 6683256 6770088 7240194 8168424 8274552 8592804 8849126 9189477 9308871 9653592 10024884 10155132 10860291 11457072 12252636 12411828 13273689 13366512 13540176 14480388 16336848 16549104 17185608 17698252 18378954 18617742 19307184 20049768 20310264 21720582 24505272 24823656 26547378 27568431 27926613 28960776 32580873 34371216 35396504 36757908 37235484 39821067 40099536 40620528 43441164 49010544 49647312 53094756 55136862 55853226 57921552 65161746 70793008 73515816 74470968 74598751 79642134 86882328 106189512 110273724 111706452 119463201 130323492 147031632 148941936 149197502 159284268 173764656 212379024 220547448 223412904 223796253 238926402 260646984 298395004 318568536 358389603 441094896 446825808 447592506 477852804 521293968 596790008 637137072 671388759 716779206 820586261 895185012 955705608 969783763 1193580016 1342777518 1433558412 1641172522 1790370024 1911411216 1939567526 2014166277 2461758783 2685555036 2867116824 2909351289 3282345044 3580740048 3879135052 4028332554 4923517566 5371110072 5734233648 5818702578 6042498831 6564690088 7385276349 7758270104 8056665108 8728053867 9847035132 10667621393 10742220144 11637405156 12084997662 13129380176 14770552698 15516540208 16113330216 17456107734 19694070264 21335242786 22155829047 23274810312 24169995324 26184161601 29541105396 32002864179 32226660432 34912215468 39388140528 42670485572 44311658094 46549620624 48339990648 52368323202 59082210792 64005728358 66467487141 69824430936 78552484803 85340971144 88623316188 96008592537 96679981296 104736646404 118164421584 128011456716 132934974282 139648861872 157104969606 170681942288 177246632376 192017185074 209473292808 256022913432 265869948564 288025777611 314209939212 354493264752 384034370148 418946585616 512045826864 531739897128 576051555222 628419878424 768068740296 864077332833 1063479794256 1152103110444 1256839756848 1536137480592 1728154665666 2304206220888 3456309331332 4608412441776 6912618662664 13825237325328
• Sum of all divisors σ(n): 47030763713472
• Sum of proper divisors (its aliquot sum) s(n): 33205526388144
• 13825237325328 is an abundant number, because the sum of its proper divisors (33205526388144) is greater than itself. Its abundance is 19380289062816

Bases of 13825237325328

• Binary: 11001001001011110000010111000001011000010000₂
• Hexadecimal: 0xC92F05C1610
• Base-36: 4WF85CH00

Squares and roots of 13825237325328

• 13825237325328 squared (13825237325328²) is 191137187101642511310307584
• 13825237325328 cubed (13825237325328³) is 2642516973375829613543337811257153687552
• The square root of 13825237325328 is 3718230.4023995071
• The cube root of 13825237325328 is 24000.7160233877

Scales and comparisons

• 13,825,237,325,328 seconds is equal to 439,599 years, 40 weeks, 4 days, 21 hours, 28 minutes, 48 seconds.
• To count from 1 to 13,825,237,325,328 would take you about one million, ninety-eight thousand, nine hundred ninety-nine 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 13825237325328 cubic inches would be around 2000.1 feet tall.

Recreational maths with 13825237325328

• 13825237325328 backwards is 82352373252831
• 13825237325328 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 13825237325328's digits is 54
• More coming soon!