450364705355549952
450,364,705,355,549,952 is an even composite number composed of five prime numbers multiplied together.
What does the number 450364705355549952 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 288 divisors.
450364705355549952 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred eighty-eight divisors.
Prime factorization of 450364705355549952:
28 × 33 × 11 × 107 × 55358479823
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 11 × 107 × 55358479823)See below for interesting mathematical facts about the number 450364705355549952 from the Numbermatics database.
Names of 450364705355549952
- Cardinal: 450364705355549952 can be written as Four hundred fifty quadrillion, three hundred sixty-four trillion, seven hundred five billion, three hundred fifty-five million, five hundred forty-nine thousand, nine hundred fifty-two.
Scientific notation
- Scientific notation: 4.50364705355549952 × 1017
Factors of 450364705355549952
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 55358479946
Divisors of 450364705355549952
- Number of divisors d(n): 288
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Complete list of divisors:
1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 107 108 128 132 144 176 192 198 214 216 256 264 288 297 321 352 384 396 428 432 528 576 594 642 704 768 792 856 864 963 1056 1152 1177 1188 1284 1408 1584 1712 1728 1926 2112 2304 2354 2376 2568 2816 2889 3168 3424 3456 3531 3852 4224 4708 4752 5136 5778 6336 6848 6912 7062 7704 8448 9416 9504 10272 10593 11556 12672 13696 14124 15408 18832 19008 20544 21186 23112 25344 27392 28248 30816 31779 37664 38016 41088 42372 46224 56496 61632 63558 75328 76032 82176 84744 92448 112992 123264 127116 150656 169488 184896 225984 246528 254232 301312 338976 369792 451968 508464 677952 739584 903936 1016928 1355904 2033856 2711808 4067712 8135424 55358479823 110716959646 166075439469 221433919292 332150878938 442867838584 498226318407 608943278053 664301757876 885735677168 996452636814 1217886556106 1328603515752 1494678955221 1771471354336 1826829834159 1992905273628 2435773112212 2657207031504 2989357910442 3542942708672 3653659668318 3985810547256 4871546224424 5314414063008 5480489502477 5923357341061 5978715820884 7085885417344 7307319336636 7971621094512 9743092448848 10628828126016 10960979004954 11846714682122 11957431641768 14171770834688 14614638673272 15943242189024 16441468507431 17770072023183 19486184897696 21257656252032 21921958009908 23693429364244 23914863283536 29229277346544 31886484378048 32882937014862 35540144046366 38972369795392 42515312504064 43843916019816 47386858728488 47829726567072 53310216069549 58458554693088 63772968756096 65156930751671 65765874029724 71080288092732 77944739590784 87687832039632 94773717456976 95659453134144 106620432139098 116917109386176 127545937512192 130313861503342 131531748059448 142160576185464 155889479181568 159930648208647 175375664079264 189547434913952 191318906268288 195470792255013 213240864278196 233834218772352 260627723006684 263063496118896 284321152370928 319861296417294 350751328158528 379094869827904 382637812536576 390941584510026 426481728556392 467668437544704 521255446013368 526126992237792 568642304741856 586412376765039 639722592834588 701502656317056 758189739655808 781883169020052 852963457112784 1042510892026736 1052253984475584 1137284609483712 1172824753530078 1279445185669176 1403005312634112 1516379479311616 1563766338040104 1705926914225568 1759237130295117 2085021784053472 2104507968951168 2274569218967424 2345649507060156 2558890371338352 3127532676080208 3411853828451136 3518474260590234 4170043568106944 4209015937902336 4549138437934848 4691299014120312 5117780742676704 6255065352160416 6823707656902272 7036948521180468 8340087136213888 9382598028240624 10235561485353408 12510130704320832 13647415313804544 14073897042360936 16680174272427776 18765196056481248 20471122970706816 25020261408641664 28147794084721872 37530392112962496 40942245941413632 50040522817283328 56295588169443744 75060784225924992 112591176338887488 150121568451849984 225182352677774976 450364705355549952
- Sum of all divisors σ(n): 1466459416572917760
- Sum of proper divisors (its aliquot sum) s(n): 1016094711217367808
- 450364705355549952 is an abundant number, because the sum of its proper divisors (1016094711217367808) is greater than itself. Its abundance is 565730005861817856
Bases of 450364705355549952
- Binary: 110010000000000010001010000001110100001011101001101000000002
- Hexadecimal: 0x64004503A174D00
- Base-36: 3F6GYPFCL6O0
Squares and roots of 450364705355549952
- 450364705355549952 squared (4503647053555499522) is 202828367829991323616904088367202304
- 450364705355549952 cubed (4503647053555499523) is 91346738115501149059478302043195712323842857561489408
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The
square root of 450364705355549952 is 671092173.5168351313 -
The
cube root of 450364705355549952 is 766516.3966058751
Scales and comparisons
How big is 450364705355549952?- 450,364,705,355,549,952 seconds is equal to 14,320,204,560 years, 41 weeks, 6 days, 16 hours, 19 minutes, 12 seconds.
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To count from 1 to 450,364,705,355,549,952 would take you about forty-two billion, nine hundred sixty million, six hundred thirteen thousand, six hundred eighty-two 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 450364705355549952 cubic inches would be around 63876.4 feet tall.
Recreational maths with 450364705355549952
- 450364705355549952 backwards is 259945553507463054
- The number of decimal digits it has is: 18
- The sum of 450364705355549952's digits is 81
- More coming soon!
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