137474047983664089600
137,474,047,983,664,089,600 is an even composite number composed of five prime numbers multiplied together.
What does the number 137474047983664089600 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 240 divisors.
137474047983664089600 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two hundred forty divisors.
Prime factorization of 137474047983664089600:
29 × 3 × 52 × 7 × 511436190415417
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 5 × 5 × 7 × 511436190415417)See below for interesting mathematical facts about the number 137474047983664089600 from the Numbermatics database.
Names of 137474047983664089600
- Cardinal: 137474047983664089600 can be written as One hundred thirty-seven quintillion, four hundred seventy-four quadrillion, forty-seven trillion, nine hundred eighty-three billion, six hundred sixty-four million, eighty-nine thousand, six hundred.
Scientific notation
- Scientific notation: 1.374740479836640896 × 1020
Factors of 137474047983664089600
- Number of distinct prime factors ω(n): 5
- Total number of prime factors Ω(n): 14
- Sum of prime factors: 511436190415434
Divisors of 137474047983664089600
- Number of divisors d(n): 240
-
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 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 512 525 560 600 640 672 700 768 800 840 896 960 1050 1120 1200 1280 1344 1400 1536 1600 1680 1792 1920 2100 2240 2400 2560 2688 2800 3200 3360 3584 3840 4200 4480 4800 5376 5600 6400 6720 7680 8400 8960 9600 10752 11200 12800 13440 16800 17920 19200 22400 26880 33600 38400 44800 53760 67200 89600 134400 268800 511436190415417 1022872380830834 1534308571246251 2045744761661668 2557180952077085 3068617142492502 3580053332907919 4091489523323336 5114361904154170 6137234284985004 7160106665815838 7671542856231255 8182979046646672 10228723808308340 10740159998723757 12274468569970008 12785904760385425 14320213331631676 15343085712462510 16365958093293344 17900266664539595 20457447616616680 21480319997447514 24548937139940016 25571809520770850 28640426663263352 30686171424925020 32731916186586688 35800533329079190 38357714281156275 40914895233233360 42960639994895028 49097874279880032 51143619041541700 53700799993618785 57280853326526704 61372342849850040 65463832373173376 71601066658158380 76715428562312550 81829790466466720 85921279989790056 89501333322697975 98195748559760064 102287238083083400 107401599987237570 114561706653053408 122744685699700080 130927664746346752 143202133316316760 153430857124625100 163659580932933440 171842559979580112 179002666645395950 196391497119520128 204574476166166800 214803199974475140 229123413306106816 245489371399400160 261855329492693504 268503999968093925 286404266632633520 306861714249250200 327319161865866880 343685119959160224 358005333290791900 392782994239040256 409148952332333600 429606399948950280 458246826612213632 490978742798800320 537007999936187850 572808533265267040 613723428498500400 654638323731733760 687370239918320448 716010666581583800 785565988478080512 818297904664667200 859212799897900560 916493653224427264 981957485597600640 1074015999872375700 1145617066530534080 1227446856997000800 1309276647463467520 1374740479836640896 1432021333163167600 1636595809329334400 1718425599795801120 1832987306448854528 1963914971195201280 2148031999744751400 2291234133061068160 2454893713994001600 2749480959673281792 2864042666326335200 3273191618658668800 3436851199591602240 3927829942390402560 4296063999489502800 4582468266122136320 4909787427988003200 5498961919346563584 5728085332652670400 6546383237317337600 6873702399183204480 8592127998979005600 9164936532244272640 9819574855976006400 11456170665305340800 13747404798366408960 17184255997958011200 19639149711952012800 22912341330610681600 27494809596732817920 34368511995916022400 45824682661221363200 68737023991832044800 137474047983664089600
- Sum of all divisors σ(n): 519013629012612833088
- Sum of proper divisors (its aliquot sum) s(n): 381539581028948743488
- 137474047983664089600 is an abundant number, because the sum of its proper divisors (381539581028948743488) is greater than itself. Its abundance is 244065533045284653888
Bases of 137474047983664089600
- Binary: 11101110011110101011110111001000101101111010100110111001010000000002
- Hexadecimal: 0x773D5EE45BD4DCA00
- Base-36: T0GOIUUZ7SX6O
Squares and roots of 137474047983664089600
- 137474047983664089600 squared (1374740479836640896002) is 18899113869014776539360263568596828160000
- 137474047983664089600 cubed (1374740479836640896003) is 2598137686877668871877664037298920308138609641454043136000000
-
The
square root of 137474047983664089600 is 11724932749.6435598789 -
The
cube root of 137474047983664089600 is 5161075.8326024891
Scales and comparisons
How big is 137474047983664089600?- 137,474,047,983,664,089,600 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,474,047,983,664,089,600 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 137474047983664089600 cubic inches would be around 430089.7 feet tall.
Recreational maths with 137474047983664089600
- 137474047983664089600 backwards is 006980466389740474731
- 137474047983664089600 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137474047983664089600's digits is 96
- More coming soon!
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