40109648140985600

Names of 40109648140985600

• Cardinal: 40109648140985600 can be written as Forty quadrillion, one hundred nine trillion, six hundred forty-eight billion, one hundred forty million, nine hundred eighty-five thousand, six hundred.

Scientific notation

• Scientific notation: 4.01096481409856 × 10¹⁶

Factors of 40109648140985600

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 406

Divisors of 40109648140985600

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 4 5 8 10 16 17 20 25 29 32 34 40 50 58 64 68 80 85 100 116 128 136 145 160 170 200 232 256 272 289 290 320 340 353 400 425 464 493 544 578 580 640 680 706 725 800 850 928 986 1088 1156 1160 1280 1360 1412 1445 1450 1600 1700 1765 1856 1972 2176 2312 2320 2465 2720 2824 2890 2900 3200 3400 3530 3712 3944 4352 4624 4640 4913 4930 5440 5648 5780 5800 6001 6400 6800 7060 7225 7424 7888 8381 8825 9248 9280 9826 9860 10237 10880 11296 11560 11600 12002 12325 13600 14120 14450 15776 16762 17650 18496 18560 19652 19720 20474 21760 22592 23120 23200 24004 24565 24650 27200 28240 28900 30005 31552 33524 35300 36992 37120 39304 39440 40948 41905 45184 46240 46400 48008 49130 49300 51185 54400 56480 57800 60010 63104 67048 70600 73984 78608 78880 81896 83810 90368 92480 92800 96016 98260 98600 102017 102370 108800 112960 115600 120020 122825 124609 126208 134096 141200 142477 150025 157216 157760 163792 167620 174029 184960 185600 192032 196520 197200 204034 204740 209525 225920 231200 240040 245650 249218 255925 268192 282400 284954 300050 314432 315520 327584 335240 348058 369920 384064 393040 394400 408068 409480 419050 451840 462400 480080 491300 498436 510085 511850 536384 564800 569908 600100 623045 628864 631040 655168 670480 696116 712385 768128 786080 788800 816136 818960 838100 870145 924800 960160 982600 996872 1020170 1023700 1072768 1129600 1139816 1200200 1246090 1257728 1310336 1340960 1392232 1424770 1536256 1572160 1577600 1632272 1637920 1676200 1734289 1740290 1849600 1920320 1965200 1993744 2040340 2047400 2118353 2145536 2259200 2279632 2400400 2492180 2550425 2620672 2681920 2784464 2849540 2958493 3115225 3144320 3155200 3264544 3275840 3352400 3468578 3480580 3561925 3613661 3840640 3930400 3987488 4080680 4094800 4236706 4350725 4559264 4800800 4984360 5100850 5363840 5568928 5699080 5916986 6230450 6288640 6529088 6551680 6704800 6937156 6961160 7123850 7227322 7681280 7860800 7974976 8161360 8189600 8473412 8671445 8701450 9118528 9601600 9968720 10201700 10591765 10727680 11137856 11398160 11833972 12460900 13058176 13103360 13409600 13874312 13922320 14247700 14454644 14792465 15721600 15949952 16322720 16379200 16946824 17342890 17402900 18068305 18237056 19203200 19937440 20403400 21183530 22275712 22796320 23667944 24921800 26116352 26819200 27748624 27844640 28495400 28909288 29584930 31443200 31899904 32645440 32758400 33893648 34685780 34805800 36012001 36136610 36474112 38406400 39874880 40806800 42367060 43357225 43986977 44551424 45592640 47335888 49843600 50294381 52958825 53638400 55497248 55689280 56990800 57818576 59169860 61432237 65290880 65516800 67787296 69371560 69611600 72024002 72273220 73962325 79749760 81613600 84734120 86714450 87973954 90341525 91185280 94671776 99687200 100588762 105917650 110994496 111378560 113981600 115637152 118339720 122864474 130581760 135574592 138743120 139223200 144048004 144546440 147924650 159499520 163227200 169468240 173428900 175947908 180060005 180683050 182370560 189343552 199374400 201177524 211835300 219934885 221988992 222757120 227963200 231274304 236679440 245728948 251471905 271149184 277486240 278446400 288096008 289092880 295849300 307161185 326454400 338936480 346857800 351895816 360120010 361366100 378687104 398748800 402355048 423670600 439869770 443977984 455926400 462548608 473358880 491457896 502943810 542298368 554972480 556892800 576192016 578185760 591698600 612204017 614322370 652908800 677872960 693715600 703791632 720240020 722732200 747778609 757374208 797497600 804710096 847341200 879739540 900300025 911852800 925097216 946717760 982915792 1005887620 1044348029 1099674425 1109944960 1113785600 1152384032 1156371520 1183397200 1224408034 1228644740 1257359525 1275622333 1355745920 1387431200 1407583264 1440480040 1445464400 1495557218 1535805925 1609420192 1694682400 1759479080 1800600050 1893435520 1965831584 2011775240 2088696058 2199348850 2219889920 2304768064 2312743040 2366794400 2448816068 2457289480 2514719050 2551244666 2711491840 2774862400 2815166528 2880960080 2890928800 2991114436 3061020085 3071611850 3218840384 3389364800 3518958160 3601200100 3738893045 3786871040 3931663168 4023550480 4177392116 4398697700 4609536128 4625486080 4733588800 4897632136 4914578960 5029438100 5102489332 5221740145 5549724800 5630333056 5761920160 5781857600 5982228872 6122040170 6143223700 6378111665 6437680768 6778729600 7037916320 7202400200 7477786090 7863326336 8047100960 8354784232 8797395400 9219072256 9467177600 9795264272 9829157920 10058876200 10204978664 10443480290 11099449600 11260666112 11523840320 11563715200 11964457744 12244080340 12286447400 12712236353 12756223330 12875361536 13557459200 14075832640 14404800400 14955572180 15305100425 15726652672 16094201920 16709568464 17594790800 17753916493 18694465225 18934355200 19590528544 19658315840 20117752400 20409957328 20886960580 21685579661 23047680640 23127430400 23928915488 24488160680 24572894800 25424472706 25512446660 26108700725 28151665280 28809600800 29911144360 30610200850 31890558325 32188403840 33419136928 35189581600 35507832986 37388930450 39181057088 39316631680 40235504800 40819914656 41773921160 43371159322 46095361280 47857830976 48976321360 49145789600 50848945412 51024893320 52217401450 56303330560 57619201600 59822288720 61220401700 63561181765 63781116650 64376807680 66838273856 70379163200 71015665972 74777860900 78362114176 78633263360 80471009600 81639829312 83547842320 86742318644 88769582465 95715661952 97952642720 98291579200 101697890824 102049786640 104434802900 108427898305 115238403200 119644577440 122440803400 127122363530 127562233300 133676547712 140758326400 142031331944 149555721800 156724228352 160942019200 163279658624 167095684640 173484637288 177539164930 191431323904 195905285440 196583158400 203395781648 204099573280 208869605800 216108018001 216855796610 230476806400 239289154880 244881606800 254244727060 255124466600 267353095424 281516652800 284062663888 299111443600 317805908825 321884038400 326559317248 334191369280 346969274576 355078329860 368654854237 391810570880 393166316800 406791563296 408199146560 417739211600 432216036002 433711593220 443847912325 478578309760 489763213600 508489454120 510248933200 542139491525 568125327776 598222887200 635611817650 668382738560 693938549152 710156659720 737309708474 783621141760 813583126592 816398293120 835478423200 864432072004 867423186440 887695824650 957156619520 979526427200 1016978908240 1020497866400 1080540090005 1084278983050 1136250655552 1196445774400 1271223635300 1336765477120 1387877098304 1420313319440 1474619416948 1627166253184 1632796586240 1670956846400 1728864144008 1734846372880 1775391649300 1843274271185 1959052854400 2033957816480 2040995732800 2161080180010 2168557966100 2272501311104 2392891548800 2542447270600 2775754196608 2840626638880 2949238833896 3254332506368 3341913692800 3457728288016 3469692745760 3550783298600 3686548542370 3918105708800 4067915632960 4081991465600 4322160360020 4337115932200 4545002622208 4785783097600 5084894541200 5402700450025 5551508393216 5681253277760 5898477667792 6267132522029 6683827385600 6915456576032 6939385491520 7101566597200 7373097084740 8135831265920 8163982931200 8644320720040 8674231864400 9216371355925 10169789082400 10805400900050 11362506555520 11796955335584 12534265044058 13830913152064 13878770983040 14203133194400 14746194169480 16271662531840 17288641440080 17348463728800 18432742711850 20339578164800 21610801800100 22725013111040 23593910671168 25068530088116 27661826304128 27757541966080 28406266388800 29492388338960 31335662610145 34577282880160 34696927457600 36865485423700 40679156329600 43221603600200 47187821342336 50137060176232 55323652608256 56812532777600 58984776677920 62671325220290 69154565760320 69393854915200 73730970847400 81358312659200 86443207200400 94375642684672 100274120352464 113625065555200 117969553355840 125342650440580 138309131520640 138787709830400 147461941694800 156678313050725 172886414400800 200548240704928 235939106711680 250685300881160 276618263041280 294923883389600 313356626101450 345772828801600 401096481409856 471878213423360 501370601762320 589847766779200 626713252202900 691545657603200 802192962819712 1002741203524640 1179695533558400 1253426504405800 1383091315206400 1604385925639424 2005482407049280 2359391067116800 2506853008811600 4010964814098560 5013706017623200 8021929628197120 10027412035246400 20054824070492800 40109648140985600
• Sum of all divisors σ(n): 109428516025164000
• Sum of proper divisors (its aliquot sum) s(n): 69318867884178400
• 40109648140985600 is an abundant number, because the sum of its proper divisors (69318867884178400) is greater than itself. Its abundance is 29209219743192800

Bases of 40109648140985600

• Binary: 10001110011111111000001100110001100000100110010100000000₂
• Hexadecimal: 0x8E7F8331826500
• Base-36: AYXOLZAPSZK

Squares and roots of 40109648140985600

• 40109648140985600 squared (40109648140985600²) is 1608783873993669598014539407360000
• 40109648140985600 cubed (40109648140985600³) is 64527755120777801549986578989176856350294016000000
• The square root of 40109648140985600 is 200273932.7545789221
• The cube root of 40109648140985600 is 342307.3970400639

Scales and comparisons

• 40,109,648,140,985,600 seconds is equal to 1,275,362,743 years, 30 weeks, 6 days, 19 hours, 33 minutes, 20 seconds.
• To count from 1 to 40,109,648,140,985,600 would take you about three billion, eight hundred twenty-six million, eighty-eight thousand, two hundred thirty 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 40109648140985600 cubic inches would be around 28525.6 feet tall.

Recreational maths with 40109648140985600

• 40109648140985600 backwards is 00658904184690104
• The number of decimal digits it has is: 17
• The sum of 40109648140985600's digits is 65
• More coming soon!