13824913769472

Names of 13824913769472

• Cardinal: 13824913769472 can be written as Thirteen trillion, eight hundred twenty-four billion, nine hundred thirteen million, seven hundred sixty-nine thousand, four hundred seventy-two.

Scientific notation

• Scientific notation: 1.3824913769472 × 10¹³

Factors of 13824913769472

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 145

Divisors of 13824913769472

• Number of divisors d(n): 352
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 169 192 208 254 256 312 338 381 384 416 507 508 512 624 676 762 768 832 1014 1016 1024 1248 1352 1524 1536 1651 1664 2028 2032 2197 2496 2704 3048 3072 3302 3328 4056 4064 4394 4953 4992 5408 6096 6591 6604 6656 8112 8128 8788 9906 9984 10816 12192 13182 13208 13312 16129 16224 16256 17576 19812 19968 21463 21632 24384 26364 26416 32258 32448 32512 35152 39624 39936 42926 43264 48387 48768 52728 52832 64389 64516 64896 65024 70304 79248 85852 86528 96774 97536 105456 105664 128778 129032 129792 130048 140608 158496 171704 173056 193548 195072 209677 210912 211328 257556 258064 259584 279019 281216 316992 343408 387096 390144 419354 421824 422656 515112 516128 519168 558038 562432 629031 633984 686816 774192 837057 838708 843648 845312 1030224 1032256 1116076 1124864 1258062 1267968 1373632 1548384 1674114 1677416 1687296 1690624 2048383 2060448 2064512 2232152 2249728 2516124 2535936 2725801 2747264 3096768 3348228 3354832 3374592 4096766 4120896 4129024 4464304 5032248 5071872 5451602 5494528 6145149 6193536 6696456 6709664 6749184 8177403 8193532 8241792 8258048 8928608 10064496 10903204 10989056 12290298 12387072 13392912 13419328 16354806 16387064 16483584 16516096 17857216 20128992 21806408 21978112 24580596 24774144 26628979 26785824 26838656 32709612 32774128 32967168 35435413 35714432 40257984 43612816 49161192 49548288 53257958 53571648 53677312 65419224 65548256 65934336 70870826 71428864 79886937 80515968 87225632 98322384 106306239 106515916 107143296 107354624 130838448 131096512 141741652 142857728 159773874 161031936 174451264 196644768 212612478 213031832 214286592 214709248 261676896 262193024 283483304 285715456 319547748 322063872 346176727 348902528 393289536 425224956 426063664 428573184 523353792 524386048 566966608 639095496 644127744 692353454 697805056 786579072 850449912 852127328 857146368 1038530181 1046707584 1048772096 1133933216 1278190992 1384706908 1395610112 1573158144 1700899824 1704254656 2077060362 2093415168 2097544192 2267866432 2556381984 2769413816 2791220224 3146316288 3401799648 3408509312 4154120724 4186830336 4500297451 4535732864 5112763968 5538827632 6292632576 6803599296 6817018624 8308241448 8373660672 9000594902 9071465728 10225527936 11077655264 13500892353 13607198592 13634037248 16616482896 18001189804 18142931456 20451055872 22155310528 27001784706 27214397184 27268074496 33232965792 36002379608 36285862912 40902111744 44310621056 54003569412 54428794368 66465931584 72004759216 81804223488 88621242112 108007138824 108857588736 132931863168 144009518432 177242484224 216014277648 265863726336 288019036864 354484968448 432028555296 531727452672 576038073728 864057110592 1063454905344 1152076147456 1728114221184 2304152294912 3456228442368 4608304589824 6912456884736 13824913769472
• Sum of all divisors σ(n): 40234548121600
• Sum of proper divisors (its aliquot sum) s(n): 26409634352128
• 13824913769472 is an abundant number, because the sum of its proper divisors (26409634352128) is greater than itself. Its abundance is 12584720582656

Bases of 13824913769472

• Binary: 11001001001011011101000100110000010000000000₂
• Hexadecimal: 0xC92DD130400
• Base-36: 4WF2SPJPC

Squares and roots of 13824913769472

• 13824913769472 squared (13824913769472²) is 191128240733336503959158784
• 13824913769472 cubed (13824913769472³) is 2642331447049263020521432116447619842048
• The square root of 13824913769472 is 3718186.8927572751
• The cube root of 13824913769472 is 24000.5287901269

Scales and comparisons

• 13,824,913,769,472 seconds is equal to 439,589 years, 25 weeks, 5 days, 51 minutes, 12 seconds.
• To count from 1 to 13,824,913,769,472 would take you about one million, ninety-eight thousand, nine hundred seventy-three 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 13824913769472 cubic inches would be around 2000 feet tall.

Recreational maths with 13824913769472

• 13824913769472 backwards is 27496731942831
• The number of decimal digits it has is: 14
• The sum of 13824913769472's digits is 66
• More coming soon!