21354968189153600

Names of 21354968189153600

• Cardinal: 21354968189153600 can be written as Twenty-one quadrillion, three hundred fifty-four trillion, nine hundred sixty-eight billion, one hundred eighty-nine million, one hundred fifty-three thousand, six hundred.

Scientific notation

• Scientific notation: 2.13549681891536 × 10¹⁶

Factors of 21354968189153600

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 5229819

Divisors of 21354968189153600

• Number of divisors d(n): 336
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 137 155 160 200 248 274 310 320 400 496 548 601 620 685 775 800 992 1096 1202 1240 1370 1550 1600 1984 2192 2404 2480 2740 3005 3100 3425 4247 4384 4808 4960 5480 6010 6200 6850 8494 8768 9616 9920 10960 12020 12400 13700 15025 16988 18631 19232 21235 21920 24040 24800 27400 30050 33976 37262 38464 42470 43840 48080 49600 54800 60100 67952 74524 82337 84940 93155 96160 106175 109600 120200 135904 149048 164674 169880 186310 192320 212350 219200 240400 271808 298096 329348 339760 372620 411685 424700 465775 480800 596192 658696 679520 745240 823370 849400 931550 961600 1192384 1317392 1359040 1490480 1646740 1698800 1863100 2058425 2552447 2634784 2980960 3293480 3397600 3726200 4116850 5104894 5229043 5269568 5961920 6586960 6795200 7452400 8233700 10209788 10458086 12762235 13173920 14904800 16467400 20419576 20916172 25524470 26145215 26347840 29809600 32934800 40839152 41832344 51048940 52290430 63811175 65869600 81678304 83664688 102097880 104580860 127622350 130726075 131739200 162100333 163356608 167329376 204195760 209161720 255244700 261452150 324200666 334658752 408391520 418323440 510489400 522904300 648401332 716378891 810501665 816783040 836646880 1020978800 1045808600 1296802664 1432757782 1621003330 1673293760 2041957600 2091617200 2593605328 2865515564 3142654843 3242006660 3581894455 4052508325 4083915200 4183234400 5187210656 5731031128 6285309686 6484013320 7163788910 8105016650 8366468800 10374421312 11462062256 12570619372 12968026640 14327577820 15713274215 16210033300 17909472275 22207745621 22924124512 25141238744 25936053280 28655155640 31426548430 32420066600 35818944550 44415491242 45848249024 50282477488 51872106560 57310311280 62853096860 64840133200 71637889100 78566371075 88830982484 97422300133 100564954976 111038728105 114620622560 125706193720 129680266400 143275778200 157132742150 177661964968 194844600266 201129909952 222077456210 229241245120 251412387440 259360532800 286551556400 314265484300 355323929936 389689200532 430543713491 444154912420 487111500665 502824774880 555193640525 573103112800 628530968600 710647859872 779378401064 861087426982 888309824840 974223001330 1005649549760 1110387281050 1146206225600 1257061937200 1421295719744 1558756802128 1722174853964 1776619649680 1948446002660 2152718567455 2220774562100 2435557503325 2514123874400 3117513604256 3444349707928 3553239299360 3896892005320 4305437134910 4441549124200 4871115006650 5028247748800 6235027208512 6888699415856 7106478598720 7793784010640 8610874269820 8883098248400 9742230013300 10763592837275 13346855118221 13777398831712 15587568021280 17221748539640 17766196496800 19484460026600 21527185674550 26693710236442 27554797663424 31175136042560 34443497079280 35532392993600 38968920053200 43054371349100 53387420472884 66734275591105 68886994158560 77937840106400 86108742698200 106774840945768 133468551182210 137773988317120 155875680212800 172217485396400 213549681891536 266937102364420 333671377955525 344434970792800 427099363783072 533874204728840 667342755911050 688869941585600 854198727566144 1067748409457680 1334685511822100 2135496818915360 2669371023644200 4270993637830720 5338742047288400 10677484094576800 21354968189153600
• Sum of all divisors σ(n): 54728464948394496
• Sum of proper divisors (its aliquot sum) s(n): 33373496759240896
• 21354968189153600 is an abundant number, because the sum of its proper divisors (33373496759240896) is greater than itself. Its abundance is 12018528570087296

Bases of 21354968189153600

• Binary: 1001011110111100011101011111101000110101011000101000000₂
• Hexadecimal: 0x4BDE3AFD1AB140
• Base-36: 5U9PCYAVRY8

Squares and roots of 21354968189153600

• 21354968189153600 squared (21354968189153600²) is 456034666359762185948684392960000
• 21354968189153600 cubed (21354968189153600³) is 9738605793263996835292117469823293472198656000000
• The square root of 21354968189153600 is 146133391.7664049841
• The cube root of 21354968189153600 is 277438.2328847975

Scales and comparisons

• 21,354,968,189,153,600 seconds is equal to 679,021,933 years, 8 weeks, 2 days, 18 hours, 13 minutes, 20 seconds.
• To count from 1 to 21,354,968,189,153,600 would take you about two billion, thirty-seven million, sixty-five thousand, seven 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 21354968189153600 cubic inches would be around 23119.9 feet tall.

Recreational maths with 21354968189153600

• 21354968189153600 backwards is 00635198186945312
• The number of decimal digits it has is: 17
• The sum of 21354968189153600's digits is 71
• More coming soon!