40768813464000
40,768,813,464,000 is an even composite number composed of seven prime numbers multiplied together.
40768813464000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 40768813464000:
26 × 3 × 53 × 41 × 277 × 373 × 401
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 5 × 41 × 277 × 373 × 401)See below for interesting mathematical facts about the number 40768813464000 from the Numbermatics database.
Names of 40768813464000
- Cardinal: 40768813464000 can be written as Forty trillion, seven hundred sixty-eight billion, eight hundred thirteen million, four hundred sixty-four thousand.
Scientific notation
- Scientific notation: 4.0768813464 × 1013
Factors of 40768813464000
Divisors of 40768813464000
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 41 48 50 60 64 75 80 82 96 100 120 123 125 150 160 164 192 200 205 240 246 250 277 300 320 328 373 375 400 401 410 480 492 500 554 600 615 656 746 750 800 802 820 831 960 984 1000 1025 1108 1119 1200 1203 1230 1312 1385 1492 1500 1600 1604 1640 1662 1865 1968 2000 2005 2050 2216 2238 2400 2406 2460 2624 2770 2984 3000 3075 3208 3280 3324 3730 3936 4000 4010 4100 4155 4432 4476 4800 4812 4920 5125 5540 5595 5968 6000 6015 6150 6416 6560 6648 6925 7460 7872 8000 8020 8200 8310 8864 8952 9325 9624 9840 10025 10250 11080 11190 11357 11936 12000 12030 12300 12832 13120 13296 13850 14920 15293 15375 16040 16400 16441 16620 17728 17904 18650 19248 19680 20050 20500 20775 22160 22380 22714 23872 24000 24060 24600 25664 26592 27700 27975 29840 30075 30586 30750 32080 32800 32882 33240 34071 34625 35808 37300 38496 39360 40100 41000 41550 44320 44760 45428 45879 46625 48120 49200 49323 50125 53184 55400 55950 56785 59680 60150 61172 61500 64160 65600 65764 66480 68142 69250 71616 74600 76465 76992 80200 82000 82205 83100 88640 89520 90856 91758 93250 96240 98400 98646 100250 103321 103875 110800 111077 111900 113570 119360 120300 122344 123000 128320 131528 132960 136284 138500 139875 149200 149573 150375 152930 160400 164000 164410 166200 170355 179040 181712 183516 186500 192480 196800 197292 200500 206642 207750 221600 222154 223800 227140 229395 240600 244688 246000 246615 263056 265920 272568 277000 279750 283925 298400 299146 300750 305860 309963 320800 328000 328820 332400 333231 340710 358080 363424 367032 373000 382325 384960 394584 401000 411025 413284 415500 443200 444308 447600 448719 454280 458790 481200 489376 492000 493230 516605 526112 545136 554000 555385 559500 567850 596800 598292 601500 611720 619926 641600 657640 664800 666462 681420 726848 734064 746000 747865 764650 789168 802000 822050 826568 831000 851775 888616 895200 897438 908560 917580 962400 978752 984000 986460 1033210 1052224 1090272 1108000 1110770 1119000 1135700 1146975 1196584 1203000 1223440 1233075 1239852 1315280 1329600 1332924 1362840 1419625 1468128 1492000 1495730 1529300 1549815 1578336 1604000 1644100 1653136 1662000 1666155 1703550 1777232 1790400 1794876 1817120 1835160 1911625 1924800 1972920 2055125 2066420 2180544 2216000 2221540 2238000 2243595 2271400 2293950 2393168 2406000 2446880 2466150 2479704 2583025 2630560 2665848 2725680 2776925 2839250 2936256 2984000 2991460 3058600 3099630 3156672 3208000 3288200 3306272 3324000 3332310 3407100 3554464 3589752 3634240 3670320 3739325 3823250 3945840 4110250 4132840 4236161 4258875 4443080 4476000 4487190 4542800 4554157 4587900 4786336 4812000 4893760 4932300 4959408 5166050 5261120 5331696 5451360 5553850 5678500 5734875 5982920 6117200 6132493 6165375 6199260 6576400 6612544 6648000 6664620 6814200 7108928 7179504 7340640 7478650 7646500 7749075 7891680 8220500 8265680 8330775 8472322 8517750 8886160 8952000 8974380 9085600 9108314 9175800 9572672 9624000 9864600 9918816 10332100 10663392 10902720 11107700 11217975 11357000 11469750 11965840 12234400 12264986 12330750 12398520 12708483 12915125 13152800 13329240 13628400 13662471 13884625 14359008 14681280 14957300 15293000 15498150 15783360 16441000 16531360 16661550 16944644 17035500 17772320 17948760 18171200 18216628 18351600 18397479 18696625 19729200 19837632 20664200 21180805 21326784 22215400 22435950 22714000 22770785 22939500 23931680 24468800 24529972 24661500 24797040 25416966 25830250 26305600 26658480 27256800 27324942 27769250 28718016 29914600 30586000 30662465 30996300 32882000 33062720 33323100 33889288 34071000 35544640 35897520 36433256 36703200 36794958 37393250 38745375 39458400 41328400 41431721 41653875 42361610 44430800 44871900 45428000 45541570 45879000 47863360 49059944 49323000 49594080 50833932 51660500 53316960 54513600 54649884 55538500 56089875 59829200 61172000 61324930 61992600 63542415 65764000 66646200 67778576 68142000 68312355 71795040 72866512 73406400 73589916 74786500 77490750 78916800 82656800 82863442 83307750 84723220 88861600 89743800 90856000 91083140 91758000 91987395 98119888 98646000 99188160 101667864 103321000 105904025 106633920 109299768 111077000 112179750 113853925 119658400 122344000 122649860 123985200 124295163 127084830 131528000 133292400 135557152 136284000 136624710 143590080 145733024 147179832 149573000 153312325 154981500 165313600 165726884 166615500 169446440 177723200 179487600 182166280 183516000 183974790 196239776 197292000 203335728 206642000 207158605 211808050 218599536 222154000 224359500 227707850 239316800 245299720 247970400 248590326 254169660 266584800 271114304 272568000 273249420 291466048 294359664 299146000 306624650 309963000 317712075 331453768 333231000 338892880 341561775 358975200 364332560 367032000 367949580 392479552 394584000 406671456 413284000 414317210 423616100 437199072 444308000 448719000 455415700 459936975 490599440 495940800 497180652 508339320 529520125 533169600 546498840 569269625 588719328 598292000 613249300 619926000 621475815 635424150 662907536 666462000 677785760 683123550 717950400 728665120 735899160 766561625 813342912 826568000 828634420 847232200 874398144 888616000 897438000 910831400 919873950 981198880 994361304 1016678640 1035793025 1059040250 1092997680 1138539250 1177438656 1196584000 1226498600 1239852000 1242951630 1270848300 1325815072 1332924000 1355571520 1366247100 1457330240 1471798320 1533123250 1588560375 1657268840 1694464400 1698700561 1707808875 1794876000 1821662800 1839747900 1962397760 1988722608 2033357280 2071586050 2118080500 2185995360 2277078500 2299684875 2452997200 2479704000 2485903260 2541696600 2651630144 2665848000 2732494200 2943596640 3066246500 3107379075 3177120750 3314537680 3388928800 3397401122 3415617750 3589752000 3643325600 3679495800 3977445216 4066714560 4143172100 4236161000 4371990720 4554157000 4599369750 4905994400 4971806520 5083393200 5096101683 5178965125 5464988400 5887193280 6132493000 6214758150 6354241500 6629075360 6777857600 6794802244 6831235500 7286651200 7358991600 7954890432 8286344200 8472322000 8493502805 9108314000 9198739500 9811988800 9943613040 10166786400 10192203366 10357930250 10929976800 12264986000 12429516300 12708483000 13258150720 13589604488 13662471000 14717983200 15536895375 16572688400 16944644000 16987005610 18216628000 18397479000 19887226080 20333572800 20384406732 20715860500 21859953600 24529972000 24859032600 25416966000 25480508415 27179208976 27324942000 29435966400 31073790750 33145376800 33889288000 33974011220 36433256000 36794958000 39774452160 40768813464 41431721000 42467514025 49059944000 49718065200 50833932000 50961016830 54358417952 54649884000 62147581500 66290753600 67948022440 73589916000 81537626928 82863442000 84935028050 99436130400 101667864000 101922033660 108716835904 109299768000 124295163000 127402542075 135896044880 147179832000 163075253856 165726884000 169870056100 198872260800 203844067320 212337570125 248590326000 254805084150 271792089760 326150507712 331453768000 339740112200 407688134640 424675140250 497180652000 509610168300 543584179520 637012710375 679480224400 815376269280 849350280500 994361304000 1019220336600 1274025420750 1358960448800 1630752538560 1698700561000 2038440673200 2548050841500 2717920897600 3397401122000 4076881346400 5096101683000 6794802244000 8153762692800 10192203366000 13589604488000 20384406732000 40768813464000
- Sum of all divisors σ(n): 139116951477504
- Sum of proper divisors (its aliquot sum) s(n): 98348138013504
- 40768813464000 is an abundant number, because the sum of its proper divisors (98348138013504) is greater than itself. Its abundance is 57579324549504
Bases of 40768813464000
- Binary: 10010100010100001110101010010011111001110000002
- Hexadecimal: 0x25143AA4F9C0
- Base-36: EG8XMX0AO
Squares and roots of 40768813464000
- 40768813464000 squared (407688134640002) is 1662096151262427679296000000
- 40768813464000 cubed (407688134640003) is 67761687950050242169009038841344000000000
-
The
square root of 40768813464000 is 6385046.0815878221 -
The
cube root of 40768813464000 is 34417.2387074715
Scales and comparisons
How big is 40768813464000?- 40,768,813,464,000 seconds is equal to 1,296,322 years, 8 weeks, 2 days, 22 hours, 40 minutes.
-
To count from 1 to 40,768,813,464,000 would take you about three million, two hundred forty thousand, eight hundred 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 40768813464000 cubic inches would be around 2868.1 feet tall.
Recreational maths with 40768813464000
- 40768813464000 backwards is 00046431886704
- The number of decimal digits it has is: 14
- The sum of 40768813464000's digits is 51
- More coming soon!
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The information we have on file for 40768813464000 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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