45980735404800

Names of 45980735404800

• Cardinal: 45980735404800 can be written as Forty-five trillion, nine hundred eighty billion, seven hundred thirty-five million, four hundred four thousand, eight hundred.

Scientific notation

• Scientific notation: 4.59807354048 × 10¹³

Factors of 45980735404800

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 7008

Divisors of 45980735404800

• Number of divisors d(n): 486
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 49 50 56 60 64 70 75 80 84 96 98 100 105 112 120 128 140 147 150 160 168 175 192 196 200 210 224 240 245 256 280 294 300 320 336 350 384 392 400 420 448 480 490 525 560 588 600 640 672 700 735 768 784 800 840 896 960 980 1050 1120 1176 1200 1225 1280 1344 1400 1470 1568 1600 1680 1792 1920 1960 2100 2240 2352 2400 2450 2688 2800 2940 3136 3200 3360 3675 3840 3920 4200 4480 4704 4800 4900 5376 5600 5880 6272 6400 6720 6991 7350 7840 8400 8960 9408 9600 9800 11200 11760 12544 13440 13982 14700 15680 16800 18816 19200 19600 20973 22400 23520 26880 27964 29400 31360 33600 34955 37632 39200 41946 44800 47040 48937 55928 58800 62720 67200 69910 78400 83892 94080 97874 104865 111856 117600 134400 139820 146811 156800 167784 174775 188160 195748 209730 223712 235200 244685 279640 293622 313600 335568 342559 349550 391496 419460 447424 470400 489370 524325 559280 587244 671136 685118 699100 734055 782992 838920 894848 940800 978740 1027677 1048650 1118560 1174488 1223425 1342272 1370236 1398200 1468110 1565984 1677840 1712795 1789696 1957480 2055354 2097300 2237120 2348976 2446850 2684544 2740472 2796400 2936220 3131968 3355680 3425590 3670275 3914960 4110708 4194600 4474240 4697952 4893700 5138385 5369088 5480944 5592800 5872440 6263936 6711360 6851180 7340550 7829920 8221416 8389200 8563975 8948480 9395904 9787400 10276770 10961888 11185600 11744880 12527872 13422720 13702360 14681100 15659840 16442832 16778400 17127950 18791808 19574800 20553540 21923776 22371200 23489760 25691925 26845440 27404720 29362200 31319680 32885664 33556800 34255900 37583616 39149600 41107080 43847552 44742400 46979520 48874081 51383850 54809440 58724400 62639360 65771328 67113600 68511800 78299200 82214160 87695104 93959040 97748162 102767700 109618880 117448800 131542656 134227200 137023600 146622243 156598400 164428320 187918080 195496324 205535400 219237760 234897600 244370405 263085312 274047200 293244486 313196800 328856640 342118567 390992648 411070800 438475520 469795200 488740810 548094400 586488972 657713280 684237134 733111215 781985296 822141600 939590400 977481620 1026355701 1096188800 1172977944 1221852025 1315426560 1368474268 1466222430 1563970592 1644283200 1710592835 1954963240 2052711402 2192377600 2345955888 2394829969 2443704050 2736948536 2932444860 3127941184 3288566400 3421185670 3665556075 3909926480 4105422804 4691911776 4789659938 4887408100 5131778505 5473897072 5864889720 6255882368 6577132800 6842371340 7184489907 7331112150 7819852960 8210845608 8552964175 9383823552 9579319876 9774816200 10263557010 10947794144 11729779440 11974149845 12511764736 13684742680 14368979814 14662224300 15639705920 16421691216 17105928350 18767647104 19158639752 19549632400 20527114020 21895588288 23459558880 23948299690 25658892525 27369485360 28737959628 29324448600 31279411840 32843382432 34211856700 35922449535 37535294208 38317279504 39099264800 41054228040 43791176576 46919117760 47896599380 51317785050 54738970720 57475919256 58648897200 59870749225 62558823680 65686764864 68423713400 71844899070 76634559008 78198529600 82108456080 87582353152 93838235520 95793198760 102635570100 109477941440 114951838512 117297794400 119741498450 131373529728 136847426800 143689798140 153269118016 156397059200 164216912160 179612247675 187676471040 191586397520 205271140200 218955882880 229903677024 234595588800 239482996900 262747059456 273694853600 287379596280 306538236032 312794118400 328433824320 359224495350 383172795040 410542280400 437911765760 459807354048 469191177600 478965993800 547389707200 574759192560 613076472064 656867648640 718448990700 766345590080 821084560800 919614708096 938382355200 957931987600 1094779414400 1149518385120 1313735297280 1436897981400 1532691180160 1642169121600 1839229416192 1915863975200 2189558828800 2299036770240 2873795962800 3065382360320 3284338243200 3831727950400 4598073540480 5747591925600 6568676486400 7663455900800 9196147080960 11495183851200 15326911801600 22990367702400 45980735404800
• Sum of all divisors σ(n): 176546117645604
• Sum of proper divisors (its aliquot sum) s(n): 130565382240804
• 45980735404800 is an abundant number, because the sum of its proper divisors (130565382240804) is greater than itself. Its abundance is 84584646836004

Bases of 45980735404800

• Binary: 1010011101000110111001011001100111101100000000₂
• Hexadecimal: 0x29D1B9667B00
• Base-36: GAR9AO7PC

Squares and roots of 45980735404800

• 45980735404800 squared (45980735404800²) is 2114228028366228219863040000
• 45980735404800 cubed (45980735404800³) is 97213759557719528609693361934958592000000
• The square root of 45980735404800 is 6780909.6295998519
• The cube root of 45980735404800 is 35825.4761300883

Scales and comparisons

• 45,980,735,404,800 seconds is equal to 1,462,045 years, 8 weeks, 1 day, 13 hours, 20 minutes.
• To count from 1 to 45,980,735,404,800 would take you about three million, six hundred fifty-five thousand, one hundred twelve 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 45980735404800 cubic inches would be around 2985.5 feet tall.

Recreational maths with 45980735404800

• 45980735404800 backwards is 00840453708954
• The number of decimal digits it has is: 14
• The sum of 45980735404800's digits is 57
• More coming soon!