450430431056229313300800
450,430,431,056,229,313,300,800 is an even composite number composed of five prime numbers multiplied together.
450430431056229313300800 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one hundred sixty-eight divisors.
Prime factorization of 450430431056229313300800:
26 × 3 × 52 × 7 × 13405667590959205753
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 13405667590959205753)See below for interesting mathematical facts about the number 450430431056229313300800 from the Numbermatics database.
Names of 450430431056229313300800
- Cardinal: 450430431056229313300800 can be written as Four hundred fifty sextillion, four hundred thirty quintillion, four hundred thirty-one quadrillion, fifty-six trillion, two hundred twenty-nine billion, three hundred thirteen million, three hundred thousand, eight hundred.
Scientific notation
- Scientific notation: 4.504304310562293133008 × 1023
Factors of 450430431056229313300800
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 11
- Sum of prime factors: 13405667590959205770
Divisors of 450430431056229313300800
- Number of divisors d(n): 168
-
Complete list of divisors:
1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 140 150 160 168 175 192 200 210 224 240 280 300 320 336 350 400 420 448 480 525 560 600 672 700 800 840 960 1050 1120 1200 1344 1400 1600 1680 2100 2240 2400 2800 3360 4200 4800 5600 6720 8400 11200 16800 33600 13405667590959205753 26811335181918411506 40217002772877617259 53622670363836823012 67028337954796028765 80434005545755234518 93839673136714440271 107245340727673646024 134056675909592057530 160868011091510469036 187679346273428880542 201085013864388086295 214490681455347292048 268113351819184115060 281519019410143320813 321736022183020938072 335141689773980143825 375358692546857761084 402170027728776172590 428981362910694584096 469198365683572201355 536226703638368230120 563038038820286641626 643472044366041876144 670283379547960287650 750717385093715522168 804340055457552345180 857962725821389168192 938396731367144402710 1005425069321940431475 1072453407276736460240 1126076077640573283252 1286944088732083752288 1340566759095920575300 1407595097050716604065 1501434770187431044336 1608680110915104690360 1876793462734288805420 2010850138643880862950 2144906814553472920480 2252152155281146566504 2345991828417861006775 2573888177464167504576 2681133518191841150600 2815190194101433208130 3002869540374862088672 3217360221830209380720 3753586925468577610840 4021700277287761725900 4289813629106945840960 4504304310562293133008 4691983656835722013550 5362267036383682301200 5630380388202866416260 6005739080749724177344 6434720443660418761440 7037975485253583020325 7507173850937155221680 8043400554575523451800 9008608621124586266016 9383967313671444027100 10724534072767364602400 11260760776405732832520 12869440887320837522880 14075950970507166040650 15014347701874310443360 16086801109151046903600 18017217242249172532032 18767934627342888054200 21449068145534729204800 22521521552811465665040 28151901941014332081300 30028695403748620886720 32173602218302093807200 37535869254685776108400 45043043105622931330080 56303803882028664162600 64347204436604187614400 75071738509371552216800 90086086211245862660160 112607607764057328325200 150143477018743104433600 225215215528114656650400 450430431056229313300800
- Sum of all divisors σ(n): 1688899625779404577711936
- Sum of proper divisors (its aliquot sum) s(n): 1238469194723175264411136
- 450430431056229313300800 is an abundant number, because the sum of its proper divisors (1238469194723175264411136) is greater than itself. Its abundance is 788038763666945951110336
Bases of 450430431056229313300800
- Binary: 10111110110000111100001111100011100001011101111110100011010100001001001010000002
- Hexadecimal: 0x5F61E1F1C2EFD1A84940
- Base-36: 21CJZ8XJYVK22HXC
Squares and roots of 450430431056229313300800
- 450430431056229313300800 squared (4504304310562293133008002) is 202887573221500548652988488963879523791280640000
- 450430431056229313300800 cubed (4504304310562293133008003) is 91386737062112779516012829226946980499547257635041666533817536512000000
-
The
square root of 450430431056229313300800 is 671141140935.5183564113 -
The
cube root of 450430431056229313300800 is 76655368.2962212095
Scales and comparisons
How big is 450430431056229313300800?- 450,430,431,056,229,313,300,800 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 450,430,431,056,229,313,300,800 would take you about two hundred ninety-three billion, two hundred seventy-four million, seven hundred one thousand and 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 450430431056229313300800 cubic inches would be around 6387947.4 feet tall.
Recreational maths with 450430431056229313300800
- 450430431056229313300800 backwards is 008003313922650134034054
- The number of decimal digits it has is: 24
- The sum of 450430431056229313300800's digits is 66
- More coming soon!
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