40014945097403040
40,014,945,097,403,040 is an even composite number composed of six prime numbers multiplied together.
40014945097403040 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 40014945097403040:
25 × 33 × 5 × 59 × 137 × 1145950609
(2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 59 × 137 × 1145950609)See below for interesting mathematical facts about the number 40014945097403040 from the Numbermatics database.
Names of 40014945097403040
- Cardinal: 40014945097403040 can be written as Forty quadrillion, fourteen trillion, nine hundred forty-five billion, ninety-seven million, four hundred three thousand and forty.
Scientific notation
- Scientific notation: 4.001494509740304 × 1016
Factors of 40014945097403040
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 12
- Sum of prime factors: 1145950815
Divisors of 40014945097403040
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 59 60 72 80 90 96 108 118 120 135 137 144 160 177 180 216 236 240 270 274 288 295 354 360 411 432 472 480 531 540 548 590 685 708 720 822 864 885 944 1062 1080 1096 1180 1233 1370 1416 1440 1593 1644 1770 1888 2055 2124 2160 2192 2360 2466 2655 2740 2832 3186 3288 3540 3699 4110 4248 4320 4384 4720 4932 5310 5480 5664 6165 6372 6576 7080 7398 7965 8083 8220 8496 9440 9864 10620 10960 12330 12744 13152 14160 14796 15930 16166 16440 16992 18495 19728 21240 21920 24249 24660 25488 28320 29592 31860 32332 32880 36990 39456 40415 42480 48498 49320 50976 59184 63720 64664 65760 72747 73980 80830 84960 96996 98640 118368 121245 127440 129328 145494 147960 161660 193992 197280 218241 242490 254880 258656 290988 295920 323320 363735 387984 436482 484980 581976 591840 646640 727470 775968 872964 969960 1091205 1163952 1293280 1454940 1745928 1939920 2182410 2327904 2909880 3491856 3879840 4364820 5819760 6983712 8729640 11639520 17459280 34918560 1145950609 2291901218 3437851827 4583802436 5729753045 6875703654 9167604872 10313555481 11459506090 13751407308 17189259135 18335209744 20627110962 22919012180 27502814616 30940666443 34378518270 36670419488 41254221924 45838024360 51567777405 55005629232 61881332886 67611085931 68757036540 82508443848 91676048720 103135554810 110011258464 123762665772 135222171862 137514073080 154703332215 156995233433 165016887696 183352097440 202833257793 206271109620 247525331544 270444343724 275028146160 309406664430 313990466866 330033775392 338055429655 405666515586 412542219240 470985700299 495050663088 540888687448 550056292320 608499773379 618813328860 627980933732 676110859310 784976167165 811333031172 825084438480 941971400598 990101326176 1014166288965 1081777374896 1216999546758 1237626657720 1255961867464 1352221718620 1412957100897 1569952334330 1622666062344 1650168876960 1825499320137 1883942801196 2028332577930 2163554749792 2354928501495 2433999093516 2475253315440 2511923734928 2704443437240 2825914201794 3042498866895 3139904668660 3245332124688 3650998640274 3767885602392 4056665155860 4238871302691 4709857002990 4867998187032 4950506630880 5023847469856 5408886874480 5651828403588 6084997733790 6279809337320 6490664249376 7064785504485 7301997280548 7535771204784 8113330311720 8477742605382 9127496600685 9262718772547 9419714005980 9735996374064 10817773748960 11303656807176 12169995467580 12559618674640 14129571008970 14603994561096 15071542409568 16226660623440 16955485210764 18254993201370 18525437545094 18839428011960 19471992748128 21194356513455 22607313614352 24339990935160 25119237349280 27788156317641 28259142017940 29207989122192 32453321246880 33910970421528 36509986402740 37050875090188 37678856023920 42388713026910 45214627228704 46313593862735 48679981870320 55576312635282 56518284035880 58415978244384 67821940843056 73019972805480 74101750180376 75357712047840 83364468952923 84777426053820 92627187725470 97359963740640 111152625270564 113036568071760 135643881686112 138940781588205 146039945610960 148203500360752 166728937905846 169554852107640 185254375450940 222305250541128 226073136143520 250093406858769 277881563176410 292079891221920 296407000721504 333457875811692 339109704215280 370508750901880 416822344764615 444610501082256 500186813717538 555763126352820 666915751623384 678219408430560 741017501803760 833644689529230 889221002164512 1000373627435076 1111526252705640 1250467034293845 1333831503246768 1482035003607520 1667289379058460 2000747254870152 2223052505411280 2500934068587690 2667663006493536 3334578758116920 4001494509740304 4446105010822560 5001868137175380 6669157516233840 8002989019480608 10003736274350760 13338315032467680 20007472548701520 40014945097403040
- Sum of all divisors σ(n): 143465682288096000
- Sum of proper divisors (its aliquot sum) s(n): 103450737190692960
- 40014945097403040 is an abundant number, because the sum of its proper divisors (103450737190692960) is greater than itself. Its abundance is 63435792093289920
Bases of 40014945097403040
- Binary: 100011100010100101100001011011000011110011001010101000002
- Hexadecimal: 0x8E29616C3CCAA0
- Base-36: AY04403Q7C0
Squares and roots of 40014945097403040
- 40014945097403040 squared (400149450974030402) is 1601195831148179586352952201241600
- 40014945097403040 cubed (400149450974030403) is 64071763273585034587195515097031613087623614464000
-
The
square root of 40014945097403040 is 200037359.2542229097 -
The
cube root of 40014945097403040 is 342037.7769602779
Scales and comparisons
How big is 40014945097403040?- 40,014,945,097,403,040 seconds is equal to 1,272,351,479 years, 38 weeks, 5 days, 8 hours, 24 minutes.
-
To count from 1 to 40,014,945,097,403,040 would take you about three billion, eight hundred seventeen million, fifty-four thousand, four hundred thirty-nine 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 40014945097403040 cubic inches would be around 28503.1 feet tall.
Recreational maths with 40014945097403040
- 40014945097403040 backwards is 04030479054941004
- 40014945097403040 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40014945097403040's digits is 54
- More coming soon!
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