3004945163024640
3,004,945,163,024,640 is an even composite number composed of six prime numbers multiplied together.
3004945163024640 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 3004945163024640:
28 × 3 × 5 × 11 × 17 × 4184694133
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 11 × 17 × 4184694133)See below for interesting mathematical facts about the number 3004945163024640 from the Numbermatics database.
Names of 3004945163024640
- Cardinal: 3004945163024640 can be written as Three quadrillion, four trillion, nine hundred forty-five billion, one hundred sixty-three million, twenty-four thousand, six hundred forty.
Scientific notation
- Scientific notation: 3.00494516302464 × 1015
Factors of 3004945163024640
- Number of distinct prime factors ω(n): 6
- Total number of prime factors Ω(n): 13
- Sum of prime factors: 4184694171
Divisors of 3004945163024640
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 5 6 8 10 11 12 15 16 17 20 22 24 30 32 33 34 40 44 48 51 55 60 64 66 68 80 85 88 96 102 110 120 128 132 136 160 165 170 176 187 192 204 220 240 255 256 264 272 320 330 340 352 374 384 408 440 480 510 528 544 561 640 660 680 704 748 768 816 880 935 960 1020 1056 1088 1122 1280 1320 1360 1408 1496 1632 1760 1870 1920 2040 2112 2176 2244 2640 2720 2805 2816 2992 3264 3520 3740 3840 4080 4224 4352 4488 5280 5440 5610 5984 6528 7040 7480 8160 8448 8976 10560 10880 11220 11968 13056 14080 14960 16320 17952 21120 21760 22440 23936 29920 32640 35904 42240 44880 47872 59840 65280 71808 89760 119680 143616 179520 239360 359040 718080 4184694133 8369388266 12554082399 16738776532 20923470665 25108164798 33477553064 41846941330 46031635463 50216329596 62770411995 66955106128 71139800261 83693882660 92063270926 100432659192 125540823990 133910212256 138094906389 142279600522 167387765320 184126541852 200865318384 213419400783 230158177315 251081647980 267820424512 276189812778 284559201044 334775530640 355699001305 368253083704 401730636768 426838801566 460316354630 502163295960 535640849024 552379625556 569118402088 669551061280 690474531945 711398002610 736506167408 782537802871 803461273536 853677603132 920632709260 1004326591920 1067097003915 1071281698048 1104759251112 1138236804176 1339102122560 1380949063890 1422796005220 1473012334816 1565075605742 1606922547072 1707355206264 1841265418520 2008653183840 2134194007830 2209518502224 2276473608352 2347613408613 2678204245120 2761898127780 2845592010440 2946024669632 3130151211484 3213845094144 3414710412528 3682530837040 3912689014355 4017306367680 4268388015660 4419037004448 4552947216704 4695226817226 5356408490240 5523796255560 5691184020880 5892049339264 6260302422968 6829420825056 7365061674080 7825378028710 8034612735360 8536776031320 8838074008896 9105894433408 9390453634452 11047592511120 11382368041760 11738067043065 11784098678528 12520604845936 13658841650112 14730123348160 15650756057420 16069225470720 17073552062640 17676148017792 18211788866816 18780907268904 22095185022240 22764736083520 23476134086130 25041209691872 27317683300224 29460246696320 31301512114840 34147104125280 35352296035584 37561814537808 44190370044480 45529472167040 46952268172260 50082419383744 54635366600448 58920493392640 62603024229680 68294208250560 75123629075616 88380740088960 91058944334080 93904536344520 100164838767488 125206048459360 136588416501120 150247258151232 176761480177920 187809072689040 200329677534976 250412096918720 273176833002240 300494516302464 375618145378080 500824193837440 600989032604928 751236290756160 1001648387674880 1502472581512320 3004945163024640
- Sum of all divisors σ(n): 11085355193625216
- Sum of proper divisors (its aliquot sum) s(n): 8080410030600576
- 3004945163024640 is an abundant number, because the sum of its proper divisors (8080410030600576) is greater than itself. Its abundance is 5075464867575936
Bases of 3004945163024640
- Binary: 10101010110011111011010100010000001011111001000000002
- Hexadecimal: 0xAACFB5102F900
- Base-36: TL5WR0OH6O
Squares and roots of 3004945163024640
- 3004945163024640 squared (30049451630246402) is 9029695432785180266633247129600
- 3004945163024640 cubed (30049451630246403) is 27133739614333510755766453098844997334073344000
-
The
square root of 3004945163024640 is 54817380.1182128733 -
The
cube root of 3004945163024640 is 144304.1597416049
Scales and comparisons
How big is 3004945163024640?- 3,004,945,163,024,640 seconds is equal to 95,547,961 years, 14 weeks, 3 days, 9 hours, 4 minutes.
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To count from 1 to 3,004,945,163,024,640 would take you about two hundred eighty-six million, six hundred forty-three thousand, eight hundred eighty-three 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 3004945163024640 cubic inches would be around 12025.3 feet tall.
Recreational maths with 3004945163024640
- 3004945163024640 backwards is 0464203615494003
- 3004945163024640 is a
Harshad number . - The number of decimal digits it has is: 16
- The sum of 3004945163024640's digits is 51
- More coming soon!
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