21681378659652768

Names of 21681378659652768

• Cardinal: 21681378659652768 can be written as Twenty-one quadrillion, six hundred eighty-one trillion, three hundred seventy-eight billion, six hundred fifty-nine million, six hundred fifty-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 2.1681378659652768 × 10¹⁶

Factors of 21681378659652768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 31112

Divisors of 21681378659652768

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 61 63 72 84 96 108 112 122 126 144 168 183 189 216 224 244 252 288 336 366 378 427 432 488 504 549 672 732 756 854 864 976 1008 1098 1281 1464 1512 1647 1708 1952 2016 2196 2562 2928 3024 3294 3416 3721 3843 4392 5124 5856 6048 6588 6832 7442 7686 8784 10248 11163 11529 13176 13664 14884 15372 17568 20496 22326 23058 26047 26352 29768 30744 31039 33489 40992 44652 46116 52094 52704 59536 61488 62078 66978 78141 89304 92232 93117 100467 104188 119072 122976 124156 133956 156282 178608 184464 186234 200934 208376 217273 234423 248312 267912 279351 312564 357216 368928 372468 401868 416752 434546 468846 496624 535824 558702 625128 651819 703269 744936 803736 833504 838053 869092 937692 993248 1071648 1117404 1250256 1303638 1406538 1489872 1607472 1676106 1738184 1875384 1893379 1955457 2234808 2500512 2607276 2813076 2979744 3214944 3352212 3476368 3750768 3786758 3910914 4469616 5214552 5626152 5680137 5866371 6704424 6952736 7501536 7573516 7821828 8939232 10429104 11252304 11360274 11732742 13253653 13408848 15147032 15643656 17040411 20858208 22504608 22720548 23465484 26507306 26817696 30294064 31287312 34080822 39760959 45441096 46930968 51121233 53014612 60588128 62574624 68161644 79521918 90882192 93861936 102242466 106029224 115496119 119282877 136323288 159043836 181764384 187723872 204484932 212058448 230992238 238565754 272646576 318087672 346488357 357848631 408969864 424116896 461984476 477131508 545293152 636175344 692976714 715697262 808472833 817939728 923968952 954263016 963419521 1039465071 1272350688 1385953428 1431394524 1616945666 1635879456 1847937904 1908526032 1926839042 2078930142 2425418499 2771906856 2862789048 2890258563 3118395213 3233891332 3695875808 3817052064 3853678084 4157860284 4850836998 5543813712 5725578096 5780517126 6236790426 6467782664 6743936647 7276255497 7707356168 8315720568 8670775689 9701673996 11087627424 11451156192 11561034252 12473580852 12935565328 13487873294 14552510994 15414712336 16631441136 17341551378 19403347992 20231809941 21828766491 23122068504 24947161704 25871130656 26012327067 26975746588 29105021988 30829424672 33262882272 34683102756 38806695984 40463619882 43657532982 46244137008 49894323408 52024654134 53951493176 58210043976 58768590781 60695429823 69366205512 77613391968 80927239764 87315065964 92488274016 99788646816 104049308268 107902986352 116420087952 117537181562 121390859646 138732411024 161854479528 174630131928 176305772343 182086289469 208098616536 215805972704 232840175904 235074363124 242781719292 277464822048 323708959056 349260263856 352611544686 364172578938 411380135467 416197233072 470148726248 485563438584 528917317029 647417918112 698520527712 705223089372 728345157876 822760270934 832394466144 940297452496 971126877168 1057834634058 1234140406401 1410446178744 1456690315752 1586751951087 1645520541868 1880594904992 1942253754336 2115669268116 2468280812802 2820892357488 2913380631504 3173503902174 3291041083736 3584884037641 3702421219203 4231338536232 4936561625604 5641784714976 5826761263008 6347007804348 6582082167472 7169768075282 7404842438406 8462677072464 9873123251208 10754652112923 11107263657609 12694015608696 13164164334944 14339536150564 14809684876812 16925354144928 19746246502416 21509304225846 22214527315218 25094188263487 25388031217392 28679072301128 29619369753624 32263956338769 39492493004832 43018608451692 44429054630436 50188376526974 50776062434784 57358144602256 59238739507248 64527912677538 75282564790461 86037216903384 88858109260872 96791869016307 100376753053948 114716289204512 118477479014496 129055825355076 150565129580922 172074433806768 177716218521744 193583738032614 200753506107896 225847694371383 258111650710152 301130259161844 344148867613536 355432437043488 387167476065228 401507012215792 451695388742766 516223301420304 602260518323688 677543083114149 774334952130456 803014024431584 903390777485532 1032446602840608 1204521036647376 1355086166228298 1548669904260912 1806781554971064 2409042073294752 2710172332456596 3097339808521824 3613563109942128 5420344664913192 7227126219884256 10840689329826384 21681378659652768
• Sum of all divisors σ(n): 73477826800822080
• Sum of proper divisors (its aliquot sum) s(n): 51796448141169312
• 21681378659652768 is an abundant number, because the sum of its proper divisors (51796448141169312) is greater than itself. Its abundance is 30115069481516544

Bases of 21681378659652768

• Binary: 1001101000001110001100101011001001111111101010010100000₂
• Hexadecimal: 0x4D0719593FD4A0
• Base-36: 5XHENUPCKO0

Squares and roots of 21681378659652768

• 21681378659652768 squared (21681378659652768²) is 470082180583246458650382330061824
• 21681378659652768 cubed (21681378659652768³) is 10192029758380638546374690017513417797043812728832
• The square root of 21681378659652768 is 147245980.1137293119
• The cube root of 21681378659652768 is 278844.6382605041

Scales and comparisons

• 21,681,378,659,652,768 seconds is equal to 689,400,776 years, 24 weeks, 2 days, 20 hours, 52 minutes, 48 seconds.
• To count from 1 to 21,681,378,659,652,768 would take you about two billion, sixty-eight million, two hundred two thousand, three hundred twenty-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 21681378659652768 cubic inches would be around 23237.1 feet tall.

Recreational maths with 21681378659652768

• 21681378659652768 backwards is 86725695687318612
• The number of decimal digits it has is: 17
• The sum of 21681378659652768's digits is 90
• More coming soon!