29940457125516800

Names of 29940457125516800

• Cardinal: 29940457125516800 can be written as Twenty-nine quadrillion, nine hundred forty trillion, four hundred fifty-seven billion, one hundred twenty-five million, five hundred sixteen thousand, eight hundred.

Scientific notation

• Scientific notation: 2.99404571255168 × 10¹⁶

Factors of 29940457125516800

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 717

Divisors of 29940457125516800

• Number of divisors d(n): 360
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 211 256 320 400 422 499 512 640 800 844 998 1055 1280 1600 1688 1996 2110 2495 2560 3200 3376 3992 4220 4990 5275 6400 6752 7984 8440 9980 10550 12475 12800 13504 15968 16880 19960 21100 24950 27008 31936 33760 39920 42200 44521 49900 54016 63872 67520 79840 84400 89042 99800 105289 108032 127744 135040 159680 168800 178084 199600 210578 222605 249001 255488 270080 319360 337600 356168 399200 421156 445210 498002 526445 540160 638720 675200 712336 798400 842312 890420 996004 1052890 1113025 1245005 1277440 1350400 1424672 1596800 1684624 1780840 1992008 2105780 2226050 2490010 2632225 2700800 2849344 3193600 3369248 3561680 3984016 4211560 4452100 4980020 5264450 5698688 6225025 6387200 6738496 7123360 7968032 8423120 8904200 9393931 9960040 10528900 11397376 12450050 13476992 14246720 15936064 16846240 17808400 18787862 19920080 21057800 22215979 22794752 24900100 26953984 28493440 31872128 33692480 35616800 37575724 39840160 42115600 44431958 46969655 49800200 52539211 53907968 56986880 63744256 67384960 71233600 75151448 79680320 84231200 88863916 93939310 99600400 105078422 111079895 113973760 127488512 134769920 142467200 150302896 159360640 168462400 177727832 187878620 199200800 210156844 222159790 234848275 262696055 269539840 284934400 300605792 318721280 336924800 355455664 375757240 398401600 420313688 444319580 469696550 525392110 555399475 569868800 601211584 637442560 673849600 710911328 751514480 796803200 840627376 888639160 939393100 1050784220 1110798950 1202423168 1313480275 1347699200 1421822656 1503028960 1593606400 1681254752 1777278320 1878786200 2101568440 2221597900 2404846336 2626960550 2843645312 3006057920 3187212800 3362509504 3554556640 3757572400 4203136880 4443195800 4687571569 4809692672 5253921100 5687290624 6012115840 6725019008 7109113280 7515144800 8406273760 8886391600 9375143138 10507842200 11085773521 11374581248 12024231680 13450038016 14218226560 15030289600 16812547520 17772783200 18750286276 21015684400 22171547042 23437857845 24048463360 26900076032 28436453120 30060579200 33625095040 35545566400 37500572552 42031368800 44343094084 46875715690 55428867605 56872906240 60121158400 67250190080 71091132800 75001145104 84062737600 88686188168 93751431380 110857735210 117189289225 120242316800 134500380160 142182265600 150002290208 168125475200 177372376336 187502862760 221715470420 234378578450 277144338025 284364531200 300004580416 336250950400 354744752672 375005725520 443430940840 468757156900 554288676050 600009160832 672501900800 709489505344 750011451040 886861881680 937514313800 1108577352100 1200018321664 1418979010688 1500022902080 1773723763360 1875028627600 2217154704200 2339098212931 2400036643328 2837958021376 3000045804160 3547447526720 3750057255200 4434309408400 4678196425862 5675916042752 6000091608320 7094895053440 7500114510400 8868618816800 9356392851724 11695491064655 12000183216640 14189790106880 15000229020800 17737237633600 18712785703448 23390982129310 28379580213760 30000458041600 35474475267200 37425571406896 46781964258620 58477455323275 60000916083200 70948950534400 74851142813792 93563928517240 116954910646550 141897901068800 149702285627584 187127857034480 233909821293100 299404571255168 374255714068960 467819642586200 598809142510336 748511428137920 935639285172400 1197618285020672 1497022856275840 1871278570344800 2994045712551680 3742557140689600 5988091425103360 7485114281379200 14970228562758400 29940457125516800
• Sum of all divisors σ(n): 74682723010635432
• Sum of proper divisors (its aliquot sum) s(n): 44742265885118632
• 29940457125516800 is an abundant number, because the sum of its proper divisors (44742265885118632) is greater than itself. Its abundance is 14801808759601832

Bases of 29940457125516800

• Binary: 1101010010111101010111111100111011000010001011000000000₂
• Hexadecimal: 0x6A5EAFE7611600
• Base-36: 86T084CU60W

Squares and roots of 29940457125516800

• 29940457125516800 squared (29940457125516800²) is 896430972884909722109667082240000
• 29940457125516800 cubed (29940457125516800³) is 26839553109645952621107073168216844908101632000000
• The square root of 29940457125516800 is 173033109.9111288585
• The cube root of 29940457125516800 is 310517.5438255059

Scales and comparisons

• 29,940,457,125,516,800 seconds is equal to 952,013,924 years, 35 weeks, 1 day, 8 hours, 53 minutes, 20 seconds.
• To count from 1 to 29,940,457,125,516,800 would take you about two billion, eight hundred fifty-six million, forty-one thousand, seven hundred seventy-four 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 29940457125516800 cubic inches would be around 25876.5 feet tall.

Recreational maths with 29940457125516800

• 29940457125516800 backwards is 00861552175404992
• The number of decimal digits it has is: 17
• The sum of 29940457125516800's digits is 68
• More coming soon!