40538509440

Names of 40538509440

• Cardinal: 40538509440 can be written as Forty billion, five hundred thirty-eight million, five hundred nine thousand, four hundred forty.

Scientific notation

• Scientific notation: 4.053850944 × 10¹⁰

Factors of 40538509440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 462

Divisors of 40538509440

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 5 6 8 10 11 12 13 15 16 19 20 22 24 26 30 32 33 38 39 40 44 48 52 55 57 60 64 65 66 76 78 80 88 95 96 104 110 114 120 128 130 132 143 152 156 160 165 176 190 192 195 208 209 220 228 240 247 260 264 285 286 304 312 320 330 352 361 380 384 390 409 416 418 429 440 456 480 494 520 528 570 572 608 624 627 640 660 704 715 722 741 760 780 818 832 836 858 880 912 960 988 1040 1045 1056 1083 1140 1144 1216 1227 1235 1248 1254 1320 1408 1430 1444 1482 1520 1560 1636 1664 1672 1716 1760 1805 1824 1920 1976 2045 2080 2090 2112 2145 2166 2280 2288 2432 2454 2470 2496 2508 2640 2717 2860 2888 2964 3040 3120 3135 3272 3344 3432 3520 3610 3648 3705 3952 3971 4090 4160 4180 4224 4290 4332 4499 4560 4576 4693 4908 4940 4992 5016 5280 5317 5415 5434 5720 5776 5928 6080 6135 6240 6270 6544 6688 6864 7040 7220 7296 7410 7771 7904 7942 8151 8180 8320 8360 8580 8664 8998 9120 9152 9386 9816 9880 10032 10560 10634 10830 10868 11440 11552 11856 11913 12160 12270 12480 12540 13088 13376 13497 13585 13728 14079 14440 14820 15542 15808 15884 15951 16302 16360 16720 17160 17328 17996 18240 18304 18772 19632 19760 19855 20064 21120 21268 21660 21736 22495 22880 23104 23313 23465 23712 23826 24540 24960 25080 26176 26585 26752 26994 27170 27456 28158 28880 29640 31084 31616 31768 31902 32604 32720 33440 34320 34656 35992 36480 37544 38855 39264 39520 39710 40128 40755 42536 43320 43472 44990 45760 46208 46626 46930 47424 47652 49080 50160 51623 52352 53170 53988 54340 54912 56316 57760 58487 59280 59565 62168 63536 63804 65208 65440 66880 67485 68640 69312 70395 71984 75088 77710 78528 79040 79420 79755 80256 81510 85072 85481 86640 86944 89980 91520 93252 93860 94848 95304 98160 100320 101023 103246 106340 107976 108680 112632 115520 116565 116974 118560 119130 124336 127072 127608 130416 130880 133760 134970 137280 138624 140790 143968 147649 150176 154869 155420 157056 158080 158840 159510 163020 170144 170962 173280 173888 175461 179960 186504 187720 190608 196320 200640 202046 206492 212680 215952 217360 225264 231040 233130 233948 237120 238260 248672 254144 255216 256443 258115 260832 261760 269940 274560 281580 287936 292435 295298 300352 303069 309738 310840 317680 319020 326040 340288 341924 346560 347776 350922 359920 373008 375440 381216 392640 401280 404092 412984 425360 427405 431904 434720 442947 450528 466260 467896 474240 476520 497344 505115 508288 510432 512886 516230 521664 539880 563160 575872 584870 590596 600704 606138 619476 621680 635360 638040 652080 680576 683848 693120 701844 719840 738245 746016 750880 762432 774345 785280 808184 825968 850720 854810 863808 869440 877305 885894 901056 932520 935792 953040 994688 1010230 1020864 1025772 1032460 1043328 1079760 1111253 1126320 1169740 1181192 1212276 1238952 1243360 1270720 1276080 1282215 1304160 1367696 1403688 1439680 1476490 1492032 1501760 1515345 1524864 1548690 1616368 1624139 1651936 1701440 1709620 1727616 1738880 1754610 1771788 1802112 1865040 1871584 1906080 1919437 2020460 2041728 2051544 2064920 2159520 2214735 2222506 2252640 2339480 2362384 2424552 2477904 2486720 2541440 2552160 2564430 2608320 2735392 2807376 2879360 2952980 2984064 3003520 3030690 3097380 3232736 3248278 3303872 3333759 3402880 3419240 3509220 3543576 3730080 3743168 3812160 3838874 4040920 4103088 4129840 4319040 4429470 4445012 4505280 4678960 4724768 4849104 4872417 4955808 4973440 5104320 5128860 5216640 5470784 5556265 5614752 5758311 5905960 6061380 6194760 6465472 6496556 6607744 6667518 6838480 7018440 7087152 7460160 7486336 7624320 7677748 8081840 8120695 8206176 8259680 8638080 8858940 8890024 9010560 9357920 9449536 9597185 9698208 9744834 9911616 10208640 10257720 10941568 11112530 11229504 11516622 11811920 12122760 12389520 12930944 12993112 13335036 13676960 14036880 14174304 14920320 15355496 16163680 16241390 16412352 16519360 16668795 17717880 17780048 18715840 18899072 19194370 19396416 19489668 19823232 20515440 21113807 22225060 22459008 23033244 23623840 24245520 24362085 24779040 25986224 26670072 27353920 28073760 28348608 28791555 30710992 32327360 32482780 32824704 33038720 33337590 35435760 35560096 37431680 38388740 38792832 38979336 41030880 42227614 44450120 46066488 47247680 48491040 48724170 49558080 51972448 53340144 54707840 56147520 56697216 57583110 61421984 63341421 64654720 64965560 66675180 70871520 71120192 76777480 77958672 82061760 84455228 88900240 92132976 94495360 96982080 97448340 99116160 103944896 105569035 106680288 112295040 115166220 122843968 126682842 129931120 133350360 141743040 142240384 153554960 155917344 164123520 168910456 177800480 184265952 193964160 194896680 207889792 211138070 213360576 230332440 245687936 253365684 259862240 266700720 283486080 307109920 311834688 316707105 337820912 355600960 368531904 389793360 422276140 426721152 460664880 506731368 519724480 533401440 614219840 623669376 633414210 675641824 711201920 737063808 779586720 844552280 921329760 1013462736 1039448960 1066802880 1228439680 1266828420 1351283648 1559173440 1689104560 1842659520 2026925472 2133605760 2533656840 2702567296 3118346880 3378209120 3685319040 4053850944 5067313680 6756418240 8107701888 10134627360 13512836480 20269254720 40538509440
• Sum of all divisors σ(n): 160608873600
• Sum of proper divisors (its aliquot sum) s(n): 120070364160
• 40538509440 is an abundant number, because the sum of its proper divisors (120070364160) is greater than itself. Its abundance is 79531854720

Bases of 40538509440

• Binary: 100101110000010010001001000010000000₂
• Hexadecimal: 0x970489080
• Base-36: IMFKY2O

Squares and roots of 40538509440

• 40538509440 squared (40538509440²) is 1643370747616969113600
• 40538509440 cubed (40538509440³) is 66619800565690359915862032384000
• The square root of 40538509440 is 201341.7727149535
• The cube root of 40538509440 is 3435.2308348187

Scales and comparisons

• 40,538,509,440 seconds is equal to 1,288 years, 51 weeks, 6 days, 17 hours, 4 minutes.
• To count from 1 to 40,538,509,440 would take you about two thousand, five hundred seventy-seven 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 40538509440 cubic inches would be around 286.3 feet tall.

Recreational maths with 40538509440

• 40538509440 backwards is 04490583504
• The number of decimal digits it has is: 11
• The sum of 40538509440's digits is 42
• More coming soon!