40505137344

Names of 40505137344

• Cardinal: 40505137344 can be written as Forty billion, five hundred five million, one hundred thirty-seven thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 4.0505137344 × 10¹⁰

Factors of 40505137344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2346

Divisors of 40505137344

• Number of divisors d(n): 504
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 27 28 32 36 42 46 48 49 54 56 63 64 69 72 81 84 92 96 98 108 112 126 138 144 147 161 162 168 184 189 192 196 207 216 224 243 252 276 288 294 322 324 336 368 378 392 414 432 441 448 483 486 504 552 567 576 588 621 644 648 672 736 756 784 828 864 882 966 972 1008 1104 1127 1134 1176 1242 1288 1296 1323 1344 1449 1472 1512 1568 1656 1701 1728 1764 1863 1932 1944 2016 2208 2254 2268 2311 2352 2484 2576 2592 2646 2898 3024 3136 3312 3381 3402 3528 3726 3864 3888 3969 4032 4347 4416 4508 4536 4622 4704 4968 5152 5184 5292 5589 5796 6048 6624 6762 6804 6933 7056 7452 7728 7776 7938 8694 9016 9072 9244 9408 9936 10143 10304 10584 11178 11592 11907 12096 13041 13248 13524 13608 13866 14112 14904 15456 15552 15876 16177 17388 18032 18144 18488 19872 20286 20799 21168 22356 23184 23814 26082 27048 27216 27732 28224 29808 30429 30912 31752 32354 34776 36064 36288 36976 39123 39744 40572 41598 42336 44712 46368 47628 48531 52164 53153 54096 54432 55464 59616 60858 62397 63504 64708 69552 72128 73952 78246 81144 83196 84672 89424 91287 92736 95256 97062 104328 106306 108192 108864 110928 113239 119232 121716 124794 127008 129416 139104 145593 147904 156492 159459 162288 166392 178848 182574 187191 190512 194124 208656 212612 216384 221856 226478 243432 249588 254016 258832 273861 278208 291186 312984 318918 324576 332784 339717 357696 365148 372071 374382 381024 388248 417312 425224 436779 443712 452956 478377 486864 499176 517664 547722 561573 582372 625968 637836 649152 665568 679434 730296 744142 748764 762048 776496 834624 850448 873558 905912 956754 973728 998352 1019151 1035328 1095444 1116213 1123146 1164744 1251936 1275672 1310337 1331136 1358868 1435131 1460592 1488284 1497528 1552992 1700896 1747116 1811824 1913508 1947456 1996704 2038302 2190888 2232426 2246292 2329488 2503872 2551344 2604497 2620674 2717736 2870262 2921184 2976568 2995056 3057453 3105984 3348639 3401792 3494232 3623648 3827016 3931011 3993408 4076604 4305393 4381776 4464852 4492584 4658976 5102688 5208994 5241348 5435472 5740524 5842368 5953136 5990112 6114906 6697278 6988464 7247296 7654032 7813491 7862022 8153208 8610786 8763552 8929704 8985168 9172359 9317952 10045917 10205376 10417988 10482696 10870944 11481048 11906272 11980224 12229812 12916179 13394556 13976928 15308064 15626982 15724044 16306416 17221572 17527104 17859408 17970336 18344718 20091834 20835976 20965392 21741888 22962096 23440473 23812544 24459624 25832358 26789112 27517077 27953856 30137751 30616128 31253964 31448088 32612832 34443144 35718816 35940672 36689436 40183668 41671952 41930784 45924192 46880946 48919248 51664716 53578224 55034154 60275502 62507928 62896176 65225664 68886288 70321419 71437632 73378872 80367336 83343904 83861568 90413253 91848384 93761892 97838496 103329432 107156448 110068308 120551004 125015856 125792352 137772576 140642838 146757744 160734672 166687808 180826506 187523784 195676992 206658864 210964257 214312896 220136616 241102008 250031712 251584704 275545152 281285676 293515488 321469344 361653012 375047568 413317728 421928514 440273232 482204016 500063424 562571352 587030976 632892771 642938688 723306024 750095136 826635456 843857028 880546464 964408032 1125142704 1265785542 1446612048 1500190272 1687714056 1761092928 1928816064 2250285408 2531571084 2893224096 3375428112 4500570816 5063142168 5786448192 6750856224 10126284336 13501712448 20252568672 40505137344
• Sum of all divisors σ(n): 146210658048
• Sum of proper divisors (its aliquot sum) s(n): 105705520704
• 40505137344 is an abundant number, because the sum of its proper divisors (105705520704) is greater than itself. Its abundance is 65200383360

Bases of 40505137344

• Binary: 100101101110010010110101100011000000₂
• Hexadecimal: 0x96E4B58C0
• Base-36: ILVPO00

Squares and roots of 40505137344

• 40505137344 squared (40505137344²) is 1640666151256303374336
• 40505137344 cubed (40505137344³) is 66455407792288446323210324803584
• The square root of 40505137344 is 201258.8814040265
• The cube root of 40505137344 is 3434.2879262331

Scales and comparisons

• 40,505,137,344 seconds is equal to 1,287 years, 48 weeks, 5 days, 11 hours, 2 minutes, 24 seconds.
• To count from 1 to 40,505,137,344 would take you about two thousand, five hundred seventy-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 40505137344 cubic inches would be around 286.2 feet tall.

Recreational maths with 40505137344

• 40505137344 backwards is 44373150504
• 40505137344 is a Harshad number.
• The number of decimal digits it has is: 11
• The sum of 40505137344's digits is 36
• More coming soon!