40440685824

Names of 40440685824

• Cardinal: 40440685824 can be written as Forty billion, four hundred forty million, six hundred eighty-five thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 4.0440685824 × 10¹⁰

Factors of 40440685824

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 116

Divisors of 40440685824

• Number of divisors d(n): 1296
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 17 18 21 22 23 24 28 32 33 34 36 42 44 46 48 51 53 56 63 64 66 68 69 72 77 84 88 92 96 99 102 106 112 119 121 126 128 132 136 138 144 153 154 159 161 168 176 184 187 192 198 204 207 212 224 231 238 242 252 253 256 264 272 276 288 306 308 318 322 336 352 357 363 368 371 374 384 391 396 408 414 424 448 462 476 477 483 484 504 506 528 544 552 561 576 583 612 616 636 644 672 693 704 714 726 736 742 748 759 768 782 792 816 828 847 848 896 901 924 952 954 966 968 1008 1012 1056 1071 1088 1089 1104 1113 1122 1152 1166 1173 1219 1224 1232 1272 1288 1309 1344 1386 1408 1428 1449 1452 1472 1484 1496 1518 1564 1584 1632 1656 1683 1694 1696 1749 1771 1792 1802 1848 1904 1908 1932 1936 2016 2024 2057 2112 2142 2176 2178 2208 2226 2244 2277 2304 2332 2346 2438 2448 2464 2541 2544 2576 2618 2688 2703 2737 2772 2783 2816 2856 2898 2904 2944 2968 2992 3036 3128 3168 3264 3312 3339 3366 3388 3392 3498 3519 3542 3604 3657 3696 3808 3816 3864 3872 3927 4032 4048 4081 4114 4224 4284 4301 4352 4356 4416 4452 4488 4554 4664 4692 4876 4896 4928 5082 5088 5152 5236 5247 5313 5376 5406 5474 5544 5566 5712 5796 5808 5888 5936 5984 6072 6171 6256 6307 6336 6413 6528 6624 6678 6732 6776 6784 6996 7038 7084 7208 7314 7392 7616 7623 7632 7728 7744 7854 8064 8096 8109 8162 8211 8228 8349 8448 8533 8568 8602 8712 8832 8904 8976 9108 9328 9384 9752 9792 9856 9911 10164 10176 10304 10472 10494 10626 10812 10948 10971 11088 11132 11424 11592 11616 11781 11872 11968 12144 12243 12342 12512 12614 12672 12826 12903 13056 13248 13356 13409 13464 13552 13568 13992 14076 14168 14399 14416 14628 14784 15232 15246 15264 15456 15488 15708 15939 16128 16192 16218 16324 16422 16456 16698 17066 17136 17204 17424 17664 17808 17952 18216 18513 18656 18768 18921 19239 19481 19504 19584 19712 19822 20328 20352 20608 20723 20944 20988 21252 21624 21896 21942 22176 22264 22848 23184 23232 23562 23744 23936 24288 24486 24633 24684 25024 25047 25228 25344 25599 25652 25806 26496 26712 26818 26928 27104 27984 28152 28336 28798 28832 29256 29568 29733 30107 30464 30492 30528 30912 30976 31416 31878 32384 32436 32648 32844 32912 33396 34132 34272 34408 34848 35616 35904 36432 36729 37026 37312 37536 37842 38478 38709 38962 39008 39168 39644 40227 40656 40704 41216 41446 41888 41976 42504 43197 43248 43792 43884 44352 44528 44891 45696 46368 46464 47124 47311 47488 47872 48576 48972 49266 49368 50048 50094 50456 51198 51304 51612 52992 53424 53636 53856 54208 55968 56304 56672 56763 57596 57664 57717 58443 58512 59136 59466 60214 60984 61056 61824 62169 62832 63756 64768 64872 65296 65688 65824 66792 68264 68544 68816 69377 69696 71232 71808 72864 73458 74052 74624 75072 75684 76797 76956 77418 77924 78016 79288 80454 81312 82892 83776 83952 85008 86394 86496 87584 87768 88704 89056 89199 89782 90321 91392 92736 92928 93863 94248 94622 94976 97152 97944 98532 98736 100096 100188 100912 102396 102608 103224 106848 107272 107712 108416 109021 111936 112608 113344 113526 115192 115328 115434 116886 117024 118932 120428 120681 121968 122112 123648 124338 125664 127512 129591 129744 130592 131376 131648 133584 134673 136528 137088 137632 138754 139392 141933 142464 143616 145061 145728 146916 147499 148104 149248 150144 151368 153594 153912 154836 155848 156032 158576 160908 162624 165784 167552 167904 170016 172788 172992 175168 175329 175536 177408 178112 178398 179564 180642 185472 186507 187726 188496 189244 194304 195888 197064 197472 200376 201824 204792 205216 206448 208131 213696 214544 215424 216832 218042 223872 225216 226688 227052 227953 230384 230656 230868 233772 234048 237864 240856 241362 243936 248676 251328 255024 259182 259488 261184 262752 263296 267168 269346 270963 273056 274176 275264 277508 278784 281589 283866 284928 290122 291456 293832 294998 296208 300288 302736 307188 307824 309672 311696 312064 317152 321816 325248 327063 331177 331568 335104 335808 340032 345576 345984 350336 350658 351072 356224 356796 359128 361284 370944 373014 375452 376992 378488 391776 394128 394944 400752 403648 404019 409584 410432 412896 416262 425799 427392 429088 430848 435183 436084 442497 447744 450432 453376 454104 455906 460768 461736 467544 468096 475728 481712 482724 487872 497352 502656 510048 518364 518976 522368 525504 526592 534336 538692 541926 546112 550528 555016 563178 567732 580244 582912 587664 589996 592416 605472 614376 615648 619344 623392 624393 634304 643632 650496 654126 662354 663136 671616 680064 683859 691152 691968 700672 701316 702144 712448 713592 718256 722568 746028 750904 753984 756976 763147 783552 788256 789888 801504 807296 808038 819168 820864 825792 832524 844767 851598 854784 858176 870366 872168 884994 900864 908208 911812 921536 923472 935088 936192 951456 963424 965448 975744 981189 993531 994704 1005312 1020096 1032493 1036728 1037952 1044736 1051008 1068672 1077384 1083852 1092224 1101056 1110032 1126356 1135464 1160488 1175328 1179992 1184832 1210944 1228752 1231296 1238688 1246784 1248786 1268608 1287264 1305549 1308252 1324708 1326272 1327491 1343232 1360128 1367718 1382304 1402632 1404288 1427184 1436512 1445136 1492056 1501808 1507968 1513952 1526294 1567104 1576512 1579776 1595671 1603008 1614592 1616076 1638336 1641728 1651584 1665048 1689534 1703196 1716352 1740732 1744336 1769988 1816416 1823624 1843072 1846944 1870176 1902912 1926848 1930896 1951488 1962378 1987062 1989408 2040192 2051577 2064986 2073456 2075904 2102016 2137344 2154768 2167704 2184448 2220064 2252712 2270928 2289441 2320976 2350656 2359984 2369664 2421888 2457504 2462592 2477376 2493568 2497572 2507483 2537216 2574528 2611098 2616504 2649416 2652544 2654982 2735436 2764608 2805264 2808576 2854368 2873024 2890272 2980593 2984112 3003616 3015936 3027904 3052588 3097479 3134208 3153024 3191342 3206016 3232152 3276672 3303168 3330096 3379068 3406392 3432704 3481464 3488672 3539976 3632832 3647248 3686144 3693888 3740352 3805824 3853696 3861792 3924756 3974124 3978816 4080384 4103154 4129972 4146912 4309536 4335408 4440128 4505424 4541856 4578882 4641952 4701312 4719968 4739328 4787013 4843776 4915008 4925184 4954752 4987136 4995144 5014966 5149056 5222196 5233008 5298832 5305088 5309964 5470872 5529216 5610528 5708736 5746048 5780544 5961186 5968224 6007232 6055808 6105176 6194958 6306048 6382684 6412032 6464304 6553344 6660192 6758136 6812784 6868323 6962928 6977344 7079952 7265664 7294496 7387776 7480704 7522449 7611648 7707392 7723584 7849512 7948248 7957632 8206308 8259944 8293824 8619072 8670816 8880256 9010848 9083712 9157764 9283904 9292437 9402624 9439936 9574026 9830016 9909504 9990288 10029932 10298112 10444392 10466016 10597664 10619928 10941744 11058432 11221056 11417472 11492096 11561088 11922372 11936448 12014464 12111616 12210352 12389916 12765368 12928608 13320384 13516272 13625568 13736646 13925856 13954688 14159904 14361039 14531328 14588992 14775552 14961408 15044898 15447168 15699024 15896496 15915264 16412616 16519888 16587648 17238144 17341632 17552381 17760512 18021696 18167424 18315528 18567808 18584874 18879872 19148052 19660032 19980576 20059864 20888784 20932032 21195328 21239856 21883488 22442112 22567347 22834944 23122176 23844744 23872896 24028928 24420704 24779832 25530736 25857216 26640768 27032544 27251136 27473292 27851712 27909376 28319808 28722078 29177984 30089796 30894336 31398048 31792992 32825232 33039776 33175296 34476288 34683264 35104762 36043392 36334848 36631056 37135616 37169748 37759744 38296104 39961152 40119728 41777568 41864064 42390656 42479712 43766976 44884224 45134694 47689488 47745792 48841408 49559664 51061472 51714432 52657143 53281536 54065088 54502272 54946584 55703424 56639616 57444156 58355968 60179592 62796096 63585984 65650464 66079552 69366528 70209524 72086784 73262112 74339496 76592208 79922304 80239456 83555136 83728128 84781312 84959424 87533952 90269388 95378976 97682816 99119328 102122944 103428864 105314286 108130176 109004544 109893168 111406848 113279232 114888312 120359184 125592192 127171968 131300928 132159104 140419048 146524224 148678992 153184416 157971429 159844608 160478912 167110272 169918848 175067904 180538776 190757952 195365632 198238656 204245888 210628572 216260352 219786336 229776624 240718368 251184384 254343936 262601856 264318208 280838096 293048448 297357984 306368832 315942858 320957824 334220544 339837696 361077552 381515904 396477312 408491776 421257144 439572672 459553248 481436736 525203712 561676192 586096896 594715968 612737664 631885716 641915648 722155104 763031808 792954624 842514288 879145344 919106496 962873472 1123352384 1189431936 1225475328 1263771432 1444310208 1685028576 1758290688 1838212992 1925746944 2246704768 2378863872 2527542864 2888620416 3370057152 3676425984 4493409536 5055085728 5777240832 6740114304 10110171456 13480228608 20220342912 40440685824
• Sum of all divisors σ(n): 164885849856
• Sum of proper divisors (its aliquot sum) s(n): 124445164032
• 40440685824 is an abundant number, because the sum of its proper divisors (124445164032) is greater than itself. Its abundance is 84004478208

Bases of 40440685824

• Binary: 100101101010011100111110010100000000₂
• Hexadecimal: 0x96A73E500
• Base-36: IKTC8W0

Squares and roots of 40440685824

• 40440685824 squared (40440685824²) is 1635449069915474558976
• 40440685824 cubed (40440685824³) is 66138682017604716875413375156224
• The square root of 40440685824 is 201098.6967237729
• The cube root of 40440685824 is 3432.4654201153

Scales and comparisons

• 40,440,685,824 seconds is equal to 1,285 years, 46 weeks, 1 day, 11 hours, 50 minutes, 24 seconds.
• To count from 1 to 40,440,685,824 would take you about two thousand, five hundred seventy-one 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 40440685824 cubic inches would be around 286 feet tall.

Recreational maths with 40440685824

• 40440685824 backwards is 42858604404
• The number of decimal digits it has is: 11
• The sum of 40440685824's digits is 45
• More coming soon!