40813419751142400
40,813,419,751,142,400 is an even composite number composed of four prime numbers multiplied together.
40813419751142400 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of two hundred sixty-four divisors.
Prime factorization of 40813419751142400:
210 × 33 × 52 × 59047192927
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5 × 59047192927)See below for interesting mathematical facts about the number 40813419751142400 from the Numbermatics database.
Names of 40813419751142400
- Cardinal: 40813419751142400 can be written as Forty quadrillion, eight hundred thirteen trillion, four hundred nineteen billion, seven hundred fifty-one million, one hundred forty-two thousand, four hundred.
Scientific notation
- Scientific notation: 4.08134197511424 × 1016
Factors of 40813419751142400
- Number of distinct prime factors ω(n): 4
- Total number of prime factors Ω(n): 16
- Sum of prime factors: 59047192937
Divisors of 40813419751142400
- Number of divisors d(n): 264
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 27 30 32 36 40 45 48 50 54 60 64 72 75 80 90 96 100 108 120 128 135 144 150 160 180 192 200 216 225 240 256 270 288 300 320 360 384 400 432 450 480 512 540 576 600 640 675 720 768 800 864 900 960 1024 1080 1152 1200 1280 1350 1440 1536 1600 1728 1800 1920 2160 2304 2400 2560 2700 2880 3072 3200 3456 3600 3840 4320 4608 4800 5120 5400 5760 6400 6912 7200 7680 8640 9216 9600 10800 11520 12800 13824 14400 15360 17280 19200 21600 23040 25600 27648 28800 34560 38400 43200 46080 57600 69120 76800 86400 115200 138240 172800 230400 345600 691200 59047192927 118094385854 177141578781 236188771708 295235964635 354283157562 472377543416 531424736343 590471929270 708566315124 885707893905 944755086832 1062849472686 1180943858540 1417132630248 1476179823175 1594274209029 1771415787810 1889510173664 2125698945372 2361887717080 2657123681715 2834265260496 2952359646350 3188548418058 3542831575620 3779020347328 4251397890744 4428539469525 4723775434160 5314247363430 5668530520992 5904719292700 6377096836116 7085663151240 7558040694656 7971371045145 8502795781488 8857078939050 9447550868320 10628494726860 11337061041984 11809438585400 12754193672232 13285618408575 14171326302480 15116081389312 15942742090290 17005591562976 17714157878100 18895101736640 21256989453720 22674122083968 23618877170800 25508387344464 26571236817150 28342652604960 30232162778624 31885484180580 34011183125952 35428315756200 37790203473280 39856855225725 42513978907440 45348244167936 47237754341600 51016774688928 53142473634300 56685305209920 60464325557248 63770968361160 68022366251904 70856631512400 75580406946560 79713710451450 85027957814880 90696488335872 94475508683200 102033549377856 106284947268600 113370610419840 127541936722320 136044732503808 141713263024800 151160813893120 159427420902900 170055915629760 181392976671744 188951017366400 204067098755712 212569894537200 226741220839680 255083873444640 272089465007616 283426526049600 302321627786240 318854841805800 340111831259520 377902034732800 408134197511424 425139789074400 453482441679360 510167746889280 544178930015232 566853052099200 637709683611600 680223662519040 755804069465600 816268395022848 850279578148800 906964883358720 1020335493778560 1133706104198400 1275419367223200 1360447325038080 1511608138931200 1632536790045696 1700559156297600 2040670987557120 2267412208396800 2550838734446400 2720894650076160 3401118312595200 4081341975114240 4534824416793600 5101677468892800 6802236625190400 8162683950228480 10203354937785600 13604473250380800 20406709875571200 40813419751142400
- Sum of all divisors σ(n): 149878308865283840
- Sum of proper divisors (its aliquot sum) s(n): 109064889114141440
- 40813419751142400 is an abundant number, because the sum of its proper divisors (109064889114141440) is greater than itself. Its abundance is 68251469362999040
Bases of 40813419751142400
- Binary: 100100001111111110010110110010100101010111110100000000002
- Hexadecimal: 0x90FF96CA55F400
- Base-36: B5V5E70K5C0
Squares and roots of 40813419751142400
- 40813419751142400 squared (408134197511424002) is 1665735231782940563946105077760000
- 40813419751142400 cubed (408134197511424003) is 67984351209023630054422934216477300200833024000000
-
The
square root of 40813419751142400 is 202023314.8701961083 -
The
cube root of 40813419751142400 is 344297.8641678905
Scales and comparisons
How big is 40813419751142400?- 40,813,419,751,142,400 seconds is equal to 1,297,740,503 years, 46 weeks, 2 days.
-
To count from 1 to 40,813,419,751,142,400 would take you about three billion, eight hundred ninety-three million, two hundred twenty-one thousand, five hundred eleven 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 40813419751142400 cubic inches would be around 28691.5 feet tall.
Recreational maths with 40813419751142400
- 40813419751142400 backwards is 00424115791431804
- 40813419751142400 is a
Harshad number . - The number of decimal digits it has is: 17
- The sum of 40813419751142400's digits is 54
- More coming soon!
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"Number 40813419751142400 - Facts about the integer". Numbermatics.com. 2024. Web. 6 June 2024.
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Numbermatics. (2024). Number 40813419751142400 - Facts about the integer. Retrieved 6 June 2024, from https://numbermatics.com/n/40813419751142400/
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