29956693874688

Names of 29956693874688

• Cardinal: 29956693874688 can be written as Twenty-nine trillion, nine hundred fifty-six billion, six hundred ninety-three million, eight hundred seventy-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 2.9956693874688 × 10¹³

Factors of 29956693874688

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 2384

Divisors of 29956693874688

• Number of divisors d(n): 864
• 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 64 72 81 84 96 108 112 122 126 128 144 162 168 183 189 192 216 224 243 244 252 256 288 324 336 366 378 384 427 432 448 486 488 504 512 549 567 576 648 672 732 756 768 854 864 896 972 976 1008 1024 1098 1134 1152 1281 1296 1344 1464 1512 1536 1647 1701 1708 1728 1792 1944 1952 2016 2048 2196 2268 2304 2311 2562 2592 2688 2928 3024 3072 3294 3402 3416 3456 3584 3721 3843 3888 3904 4032 4392 4536 4608 4622 4941 5124 5184 5376 5856 6048 6144 6588 6804 6832 6912 6933 7168 7442 7686 7776 7808 8064 8784 9072 9216 9244 9882 10248 10368 10752 11163 11529 11712 12096 13176 13608 13664 13824 13866 14336 14823 14884 15372 15552 15616 16128 16177 17568 18144 18432 18488 19764 20496 20736 20799 21504 22326 23058 23424 24192 26047 26352 27216 27328 27648 27732 29646 29768 30744 31104 31232 32256 32354 33489 34587 35136 36288 36976 39528 40992 41472 41598 43008 44652 46116 46848 48384 48531 52094 52704 54432 54656 55296 55464 59292 59536 61488 62208 62397 62464 64512 64708 66978 69174 70272 72576 73952 78141 79056 81984 82944 83196 89304 92232 93696 96768 97062 100467 103761 104188 105408 108864 109312 110928 118584 119072 122976 124416 124794 124928 129024 129416 133956 138348 140544 140971 145152 145593 147904 156282 158112 163968 165888 166392 178608 184464 187191 187392 193536 194124 200934 207522 208376 210816 217728 218624 221856 234423 237168 238144 245952 248832 249588 258832 267912 276696 281088 281942 290304 291186 295808 301401 312564 316224 327936 332784 357216 368928 374382 374784 387072 388248 401868 415044 416752 421632 422913 435456 436779 437248 443712 468846 474336 476288 491904 497664 499176 517664 535824 553392 561573 562176 563884 580608 582372 591616 602802 625128 632448 655872 665568 703269 714432 737856 748764 776496 803736 830088 833504 843264 845826 870912 873558 874496 887424 904203 937692 948672 952576 983808 986797 998352 1035328 1071648 1106784 1123146 1124352 1127768 1161216 1164744 1183232 1205604 1250256 1264896 1268739 1310337 1311744 1331136 1406538 1428864 1475712 1497528 1552992 1607472 1660176 1667008 1686528 1691652 1741824 1747116 1774848 1808406 1875384 1897344 1905152 1967616 1973594 1996704 2070656 2109807 2143296 2213568 2246292 2255536 2329488 2366464 2411208 2500512 2529792 2537478 2620674 2623488 2662272 2813076 2857728 2951424 2960391 2995056 3105984 3214944 3320352 3334016 3373056 3383304 3483648 3494232 3549696 3616812 3750768 3794688 3806217 3810304 3931011 3935232 3947188 3993408 4141312 4219614 4286592 4427136 4492584 4511072 4658976 4732928 4822416 5001024 5059584 5074956 5241348 5324544 5626152 5715456 5902848 5920782 5990112 6211968 6329421 6429888 6640704 6668032 6766608 6988464 7099392 7233624 7501536 7589376 7612434 7620608 7862022 7870464 7894376 7986816 8282624 8439228 8573184 8599231 8854272 8881173 8985168 9022144 9317952 9644832 10002048 10119168 10149912 10482696 10649088 11252304 11418651 11430912 11805696 11841564 11980224 12423936 12658842 12859776 13281408 13336064 13533216 13976928 14198784 14467248 15003072 15178752 15224868 15724044 15788752 15973632 16565248 16878456 17146368 17198462 17708544 17762346 17970336 18044288 18635904 19289664 20004096 20299824 20965392 21298176 22504608 22837302 22861824 23611392 23683128 23960448 24847872 25317684 25719552 25797693 26562816 26643519 26672128 27066432 27953856 28934496 30006144 30357504 30449736 31448088 31577504 31947264 33130496 33756912 34255953 34292736 34396924 35417088 35524692 35940672 36088576 37271808 38579328 40008192 40599648 41930784 42596352 45009216 45674604 47366256 47920896 49695744 50635368 51439104 51595386 53125632 53287038 53344256 54132864 55907712 57868992 60012288 60194617 60899472 62896176 63155008 63894528 67513824 68511906 68585472 68793848 70834176 71049384 71881344 72177152 74543616 77158656 77393079 79930557 80016384 81199296 83861568 90018432 91349208 94732512 95841792 99391488 101270736 102878208 103190772 106251264 106574076 108265728 111815424 115737984 120024576 120389234 121798944 125792352 126310016 127789056 135027648 137023812 137587696 142098768 143762688 144354304 149087232 154317312 154786158 159861114 160032768 162398592 167723136 180036864 180583851 182698416 189465024 191683584 202541472 205756416 206381544 212502528 213148152 216531456 223630848 231475968 232179237 239791671 240049152 240778468 243597888 251584704 252620032 270055296 274047624 275175392 284197536 287525376 288708608 298174464 308634624 309572316 319722228 324797184 335446272 360073728 361167702 365396832 378930048 383367168 405082944 412763088 426296304 433062912 447261696 462951936 464358474 479583342 480098304 481556936 487195776 503169408 505240064 540110592 541751553 548095248 550350784 568395072 575050752 617269248 619144632 639444456 649594368 670892544 696537711 720147456 722335404 730793664 757860096 810165888 825526176 852592608 866125824 894523392 925903872 928716948 959166684 963113872 974391552 1006338816 1010480128 1080221184 1083503106 1096190496 1100701568 1136790144 1150101504 1238289264 1278888912 1299188736 1341785088 1393075422 1440294912 1444670808 1461587328 1515720192 1620331776 1625254659 1651052352 1705185216 1851807744 1857433896 1918333368 1926227744 1948783104 2012677632 2020960256 2089613133 2160442368 2167006212 2192380992 2201403136 2273580288 2476578528 2557777824 2598377472 2683570176 2786150844 2889341616 2923174656 3031440384 3240663552 3250509318 3302104704 3410370432 3714867792 3836666736 3852455488 3897566208 4025355264 4179226266 4320884736 4334012424 4384761984 4402806272 4547160576 4875763977 4953157056 5115555648 5572301688 5778683232 5846349312 6062880768 6481327104 6501018636 6604209408 6820740864 7429735584 7673333472 7704910976 7795132416 8050710528 8358452532 8668024848 8769523968 8805612544 9094321152 9751527954 9906314112 10231111296 11144603376 11557366464 11692698624 12962654208 13002037272 13208418816 13641481728 14627291931 14859471168 15346666944 15409821952 16716905064 17336049696 17539047936 17611225088 18188642304 19503055908 19812628224 20462222592 22289206752 23114732928 23385397248 26004074544 26416837632 27282963456 29254583862 29718942336 30693333888 30819643904 33433810128 34672099392 35078095872 39006111816 39625256448 40924445184 44578413504 46229465856 52008149088 52833675264 54565926912 58509167724 59437884672 61386667776 61639287808 66867620256 69344198784 70156191744 78012223632 79250512896 81848890368 89156827008 92458931712 104016298176 117018335448 118875769344 122773335552 123278575616 133735240512 138688397568 156024447264 158501025792 163697780736 178313654016 184917863424 208032596352 234036670896 237751538688 245546671104 267470481024 277376795136 312048894528 356627308032 369835726848 416065192704 468073341792 475503077376 491093342208 534940962048 554753590272 624097789056 713254616064 832130385408 936146683584 1069881924096 1109507180544 1248195578112 1426509232128 1664260770816 1872293367168 2139763848192 2496391156224 3328521541632 3744586734336 4279527696384 4992782312448 7489173468672 9985564624896 14978346937344 29956693874688
• Sum of all divisors σ(n): 104296431133440
• Sum of proper divisors (its aliquot sum) s(n): 74339737258752
• 29956693874688 is an abundant number, because the sum of its proper divisors (74339737258752) is greater than itself. Its abundance is 44383043384064

Bases of 29956693874688

• Binary: 110110011111011010110000110001101100000000000₂
• Hexadecimal: 0x1B3ED618D800
• Base-36: AM9WY2O00

Squares and roots of 29956693874688

• 29956693874688 squared (29956693874688²) is 897403507901769538647097344
• 29956693874688 cubed (29956693874688³) is 26883242168284463745585724695475673628672
• The square root of 29956693874688 is 5473270.8570550389
• The cube root of 29956693874688 is 31057.3665038965

Scales and comparisons

• 29,956,693,874,688 seconds is equal to 952,530 years, 10 weeks, 3 days, 22 hours, 4 minutes, 48 seconds.
• To count from 1 to 29,956,693,874,688 would take you about two million, three hundred eighty-one thousand, three hundred twenty-five 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 29956693874688 cubic inches would be around 2588.1 feet tall.

Recreational maths with 29956693874688

• 29956693874688 backwards is 88647839665992
• The number of decimal digits it has is: 14
• The sum of 29956693874688's digits is 90
• More coming soon!