138640348361423917125
138,640,348,361,423,917,125 is an odd composite number composed of seven prime numbers multiplied together.
What does the number 138640348361423917125 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 384 divisors.
138640348361423917125 is an odd composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 138640348361423917125:
32 × 53 × 13 × 53 × 151 × 11971 × 98948797
(3 × 3 × 5 × 5 × 5 × 13 × 53 × 151 × 11971 × 98948797)See below for interesting mathematical facts about the number 138640348361423917125 from the Numbermatics database.
Names of 138640348361423917125
- Cardinal: 138640348361423917125 can be written as One hundred thirty-eight quintillion, six hundred forty quadrillion, three hundred forty-eight trillion, three hundred sixty-one billion, four hundred twenty-three million, nine hundred seventeen thousand, one hundred twenty-five.
Scientific notation
- Scientific notation: 1.38640348361423917125 × 1020
Factors of 138640348361423917125
Divisors of 138640348361423917125
- Number of divisors d(n): 384
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Complete list of divisors:
1 3 5 9 13 15 25 39 45 53 65 75 117 125 151 159 195 225 265 325 375 453 477 585 689 755 795 975 1125 1325 1359 1625 1963 2067 2265 2385 2925 3445 3775 3975 4875 5889 6201 6625 6795 8003 9815 10335 11325 11925 11971 14625 17225 17667 18875 19875 24009 29445 31005 33975 35913 40015 49075 51675 56625 59625 59855 72027 86125 88335 104039 107739 120045 147225 155025 155623 169875 179565 200075 245375 258375 299275 312117 360135 441675 466869 520195 538695 600225 634463 736125 775125 778115 897825 936351 1000375 1400607 1496375 1560585 1800675 1807621 1903389 2208375 2334345 2600975 2693475 3001125 3172315 3890575 4489125 4681755 5422863 5710167 7003035 7802925 8248019 9003375 9038105 9516945 11671725 13004875 13467375 15861575 16268589 19452875 23408775 23499073 24744057 27114315 28550835 35015175 39014625 41240095 45190525 47584725 58358625 70497219 74232171 79307875 81342945 95803913 98948797 117043875 117495365 123720285 135571575 142754175 175075875 206200475 211491657 225952625 237923625 287411739 296846391 352486095 371160855 406714725 479019565 494743985 587476825 618601425 677857875 713770875 862235217 890539173 1031002375 1057458285 1245450869 1286334361 1437058695 1484231955 1762430475 1855804275 2033573625 2395097825 2473719925 2937384125 3093007125 3736352607 3859003083 4311176085 4452695865 5244286241 5287291425 6227254345 6431671805 7185293475 7421159775 8812152375 9279021375 11209057821 11577009249 11975489125 12368599625 14941268347 15732858723 18681763035 19295015415 21555880425 22263479325 26221431205 26436457125 31136271725 32158359025 35926467375 37105798875 44823805041 47198576169 56045289105 57885046245 68175721133 74706341735 78664293615 93408815175 96475077075 107779402125 111317396625 131107156025 134471415123 155681358625 160791795125 194236488511 204527163399 224119025205 235992880845 280226445525 289425231225 340878605665 373531708675 393321468075 467044075875 482375385375 582709465533 613581490197 655535780125 672357075615 791887222391 971182442555 1022635816995 1120595126025 1179964404225 1184516048887 1401132227625 1447126156125 1704393028325 1748128396599 1867658543375 1966607340375 2375661667173 2913547327665 3067907450985 3361785378075 3553548146661 3959436111955 4855912212775 5113179084975 5602975630125 5899822021125 5922580244435 7126985001519 8521965141625 8740641982995 10294533891083 10660644439983 11878308335865 14567736638325 15339537254925 15398708635531 16808926890375 17767740733305 19797180559775 24279561063875 25565895424875 29612901222175 30883601673249 35634925007595 43703209914975 46196125906593 51472669455415 53303222199915 59391541679325 62779350591011 72838683191625 76697686274625 76993543177655 88838703666525 92650805019747 98985902798875 138588377719779 148064506110875 154418008366245 178174625037975 178861923381937 188338051773033 218516049574875 230980629532965 257363347277075 266516110999575 296957708396625 313896752955055 384967715888275 444193518332625 463254025098735 536585770145811 565014155319099 692941888598895 772090041831225 816131557683143 890873125189875 894309616909685 941690258865165 1154903147664825 1286816736385375 1332580554997875 1569483764775275 1609757310437433 1924838579441375 2316270125493675 2325205003965181 2448394673049429 2682928850729055 2825070776595495 3464709442994475 3860450209156125 4080657788415715 4471548084548425 4708451294325825 5774515738324125 6975615011895543 7345184019148287 7847418823876375 8048786552187165 9479681939242661 11581350627468375 11626025019825905 12241973365247145 13414644253645275 14125353882977475 17323547214972375 20403288942078575 20926845035686629 22357740422742125 23542256471629125 28439045817727983 34878075059477715 36725920095741435 40243932760935825 47398409696213305 58130125099129525 61209866826235725 67073221268226375 70626769414887375 85317137453183949 102016444710392875 104634225178433145 123235865210154593 142195229088639915 174390375297388575 183629600478707175 201219663804679125 236992048481066525 290650625495647625 306049334131178625 369707595630463779 426585687265919745 523171125892165725 616179326050772965 710976145443199575 871951876486942875 918148002393535875 1109122786891391337 1184960242405332625 1848537978152318895 2132928436329598725 2615855629460828625 3080896630253864825 3554880727215997875 5545613934456956685 9242689890761594475 10664642181647993625 15404483151269324125 27728069672284783425 46213449453807972375 138640348361423917125
- Sum of all divisors σ(n): 276064501418889071616
- Sum of proper divisors (its aliquot sum) s(n): 137424153057465154491
- 138640348361423917125 is a deficient number, because the sum of its proper divisors (137424153057465154491) is less than itself. Its deficiency is 1216195303958762634
Bases of 138640348361423917125
- Binary: 11110000100000001010111011001001001011000110001010100010000010001012
- Hexadecimal: 0x78405764963151045
- Base-36: T9BODU3UAMAF9
Squares and roots of 138640348361423917125
- 138640348361423917125 squared (1386403483614239171252) is 19221146193776979422093566869978868265625
- 138640348361423917125 cubed (1386403483614239171253) is 2664826404211097810455051200798716755403294572036542486328125
-
The
square root of 138640348361423917125 is 11774563616.6026941691 -
The
cube root of 138640348361423917125 is 5175629.9059629969
Scales and comparisons
How big is 138640348361423917125?- 138,640,348,361,423,917,125 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
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To count from 1 to 138,640,348,361,423,917,125 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 138640348361423917125 cubic inches would be around 431302.5 feet tall.
Recreational maths with 138640348361423917125
- 138640348361423917125 backwards is 521719324163843046831
- The number of decimal digits it has is: 21
- The sum of 138640348361423917125's digits is 81
- More coming soon!
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The information we have on file for 138640348361423917125 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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