45138466846200

Names of 45138466846200

• Cardinal: 45138466846200 can be written as Forty-five trillion, one hundred thirty-eight billion, four hundred sixty-six million, eight hundred forty-six thousand, two hundred.

Scientific notation

• Scientific notation: 4.51384668462 × 10¹³

Factors of 45138466846200

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 65706

Divisors of 45138466846200

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 25 26 28 30 35 39 40 42 50 52 56 60 65 70 75 78 84 91 100 104 105 120 130 140 150 156 168 169 175 182 195 200 210 260 273 280 300 312 325 338 350 364 390 420 455 507 520 525 546 600 650 676 700 728 780 840 845 910 975 983 1014 1050 1092 1183 1300 1352 1365 1400 1560 1690 1820 1950 1966 2028 2100 2184 2275 2366 2535 2600 2730 2949 3380 3549 3640 3900 3932 4056 4200 4225 4550 4732 4915 5070 5460 5898 5915 6760 6825 6881 7098 7800 7864 8450 9100 9464 9830 10140 10920 11796 11830 12675 12779 13650 13762 14196 14745 16900 17745 18200 19660 20280 20643 23592 23660 24575 25350 25558 27300 27524 28392 29490 29575 33800 34405 35490 38337 39320 41286 47320 49150 50700 51116 54600 55048 58980 59150 63895 64693 68810 70980 73725 76674 82572 88725 89453 98300 101400 102232 103215 117960 118300 127790 129386 137620 141960 147450 153348 165144 166127 172025 177450 178906 191685 194079 196600 206430 236600 255580 258772 268359 275240 294900 306696 319475 323465 332254 344050 354900 357812 383370 388158 412860 447265 452851 498381 511160 516075 517544 536718 589800 638950 646930 664508 688100 709800 715624 766740 776316 825720 830635 841009 894530 905702 958425 970395 996762 1032150 1073436 1162889 1277900 1293860 1329016 1341795 1358553 1376200 1533480 1552632 1617325 1661270 1682018 1789060 1811404 1916850 1940790 1993524 2064300 2146872 2236325 2264255 2325778 2491905 2523027 2555800 2587720 2683590 2717106 3234650 3322540 3364036 3488667 3578120 3622808 3833700 3881580 3987048 4128600 4153175 4205045 4472650 4528510 4651556 4851975 4983810 5046054 5367180 5434212 5814445 5887063 6469300 6645080 6708975 6728072 6792765 6977334 7667400 7763160 8306350 8410090 8945300 9057020 9303112 9703950 9967620 10092108 10734360 10868424 10933117 11321275 11628890 11774126 12459525 12615135 12938600 13417950 13585530 13954668 16612700 16820180 17443335 17661189 17890600 18114040 19407900 19935240 20184216 21025225 21866234 22642550 23257780 23548252 24919050 25230270 26835900 27171060 27909336 29072225 29435315 32799351 33225400 33640360 33963825 34886670 35322378 38815800 42050450 43732468 45285100 46515560 47096504 49838100 50460540 53671800 54342120 54665585 58144450 58870630 63075675 63593219 65598702 67927650 69773340 70644756 76531819 84100900 87216675 87464936 88305945 90570200 99676200 100921080 109331170 116288900 117741260 126151350 127186438 131197404 135855300 139546680 141289512 147176575 153063638 163996755 168201800 174433350 176611890 190779657 218662340 229595457 232577800 235482520 252302700 254372876 262394808 271710600 273327925 294353150 306127276 317966095 327993510 348866700 353223780 381559314 382659095 437324680 441529725 445152533 459190914 504605400 508745752 546655850 588706300 612254552 635932190 655987020 697733400 706447560 763118628 765318190 819983775 826711847 883059450 890305066 918381828 953898285 1093311700 1147977285 1177412600 1271864380 1311974040 1335457599 1526237256 1530636380 1589830475 1639967550 1653423694 1766118900 1780610132 1836763656 1907796570 1913295475 2186623400 2225762665 2295954570 2480135541 2543728760 2670915198 3061272760 3179660950 3279935100 3306847388 3532237800 3561220264 3815593140 3826590950 4133559235 4451525330 4591909140 4769491425 4960271082 5341830396 5739886425 5786982929 6359321900 6559870200 6613694776 6677287995 7631186280 7653181900 8267118470 8903050660 9183818280 9538982850 9920542164 10683660792 10747254011 11128813325 11479772850 11573965858 12400677705 12718643800 13354575990 15306363800 16534236940 17360948787 17806101320 19077965700 19841084328 20667796175 21494508022 22257626650 22959545700 23147931716 24801355410 26709151980 28934914645 32241762033 33068473880 33386439975 34721897574 38155931400 41335592350 42989016044 44515253300 45919091400 46295863432 49602710820 53418303960 53736270055 57869829290 62003388525 64483524066 66772879950 69443795148 75230778077 82671184700 85978032088 86804743935 89030506600 99205421640 107472540110 115739658580 124006777050 128967048132 133545759900 138887590296 144674573225 150461556154 161208810165 165342369400 173609487870 214945080220 225692334231 231479317160 248013554100 257934096264 267091519800 268681350275 289349146450 300923112308 322417620330 347218975740 376153890385 429890160440 434023719675 451384668462 496027108200 537362700550 578698292900 601846224616 644835240660 694437951480 752307780770 806044050825 868047439350 902769336924 1074725401100 1128461671155 1157396585800 1289670481320 1504615561540 1612088101650 1736094878700 1805538673848 1880769451925 2149450802200 2256923342310 3009231123080 3224176203300 3472189757400 3761538903850 4513846684620 5642308355775 6448352406600 7523077807700 9027693369240 11284616711550 15046155615400 22569233423100 45138466846200
• Sum of all divisors σ(n): 173345720163840
• Sum of proper divisors (its aliquot sum) s(n): 128207253317640
• 45138466846200 is an abundant number, because the sum of its proper divisors (128207253317640) is greater than itself. Its abundance is 83068786471440

Bases of 45138466846200

• Binary: 1010010000110110011110010010000011010111111000₂
• Hexadecimal: 0x290D9E4835F8
• Base-36: G00BPPWJC

Squares and roots of 45138466846200

• 45138466846200 squared (45138466846200²) is 2037481189225496574454440000
• 45138466846200 cubed (45138466846200³) is 91968777109611225781743409792387128000000
• The square root of 45138466846200 is 6718516.7147369663
• The cube root of 45138466846200 is 35605.3780449197

Scales and comparisons

• 45,138,466,846,200 seconds is equal to 1,435,263 years, 32 weeks, 2 days, 20 hours, 50 minutes.
• To count from 1 to 45,138,466,846,200 would take you about three million, five hundred eighty-eight thousand, one hundred fifty-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 45138466846200 cubic inches would be around 2967.1 feet tall.

Recreational maths with 45138466846200

• 45138466846200 backwards is 00264866483154
• The number of decimal digits it has is: 14
• The sum of 45138466846200's digits is 57
• More coming soon!