138446177625437440000
138,446,177,625,437,440,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138446177625437440000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3840 divisors.
138446177625437440000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, eight hundred forty divisors.
Prime factorization of 138446177625437440000:
211 × 54 × 113 × 17 × 457 × 1277 × 8191
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 5 × 11 × 11 × 11 × 17 × 457 × 1277 × 8191)See below for interesting mathematical facts about the number 138446177625437440000 from the Numbermatics database.
Names of 138446177625437440000
- Cardinal: 138446177625437440000 can be written as One hundred thirty-eight quintillion, four hundred forty-six quadrillion, one hundred seventy-seven trillion, six hundred twenty-five billion, four hundred thirty-seven million, four hundred forty thousand.
Scientific notation
- Scientific notation: 1.3844617762543744 × 1020
Factors of 138446177625437440000
Divisors of 138446177625437440000
- Number of divisors d(n): 3840
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Complete list of divisors:
1 2 4 5 8 10 11 16 17 20 22 25 32 34 40 44 50 55 64 68 80 85 88 100 110 121 125 128 136 160 170 176 187 200 220 242 250 256 272 275 320 340 352 374 400 425 440 457 484 500 512 544 550 605 625 640 680 704 748 800 850 880 914 935 968 1000 1024 1088 1100 1210 1250 1277 1280 1331 1360 1375 1408 1496 1600 1700 1760 1828 1870 1936 2000 2048 2057 2125 2176 2200 2285 2420 2500 2554 2560 2662 2720 2750 2816 2992 3025 3200 3400 3520 3656 3740 3872 4000 4114 4250 4352 4400 4570 4675 4840 5000 5027 5108 5120 5324 5440 5500 5632 5984 6050 6385 6400 6655 6800 6875 7040 7312 7480 7744 7769 8000 8191 8228 8500 8704 8800 9140 9350 9680 10000 10054 10216 10240 10285 10625 10648 10880 11000 11264 11425 11968 12100 12770 12800 13310 13600 13750 14047 14080 14624 14960 15125 15488 15538 16000 16382 16456 17000 17408 17600 18280 18700 19360 20000 20108 20432 20570 21250 21296 21709 21760 22000 22528 22627 22850 23375 23936 24200 25135 25540 25600 26620 27200 27500 28094 28160 29248 29920 30250 30976 31076 31925 32000 32764 32912 33275 34000 34816 35200 36560 37400 38720 38845 40000 40216 40864 40955 41140 42500 42592 43418 43520 44000 45254 45700 46750 47872 48400 50270 51080 51200 51425 53240 54400 55000 55297 56188 56320 57125 58496 59840 60500 61952 62152 63850 64000 65528 65824 66550 68000 70235 70400 73120 74800 75625 77440 77690 80000 80432 81728 81910 82280 85000 85184 85459 86836 87040 88000 90101 90508 91400 93500 95744 96800 100540 102160 102850 106480 108545 108800 110000 110594 112376 112640 113135 114250 116875 116992 119680 121000 123904 124304 125675 127700 128000 131056 131648 133100 136000 139247 140470 140800 146240 149600 151250 154517 154880 155380 159625 160000 160864 163456 163820 164560 166375 170000 170368 170918 173672 174080 176000 180202 181016 182800 187000 191488 193600 194225 201080 204320 204775 205700 212960 217090 217600 220000 221188 224752 226270 228500 233750 233984 238799 239360 242000 247808 248608 251350 255400 256000 257125 262112 263296 266200 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74035389104512000 75736421020480000 78662600923544000 81438928014963200 86528861015898400 92544236380640000 98328251154430000 100688129182136320 101798660018704000 104016662378240000 108161076269873000 108415174334720000 110756942100349952 114418328616064000 125860161477670400 127248325023380000 135201345337341250 138446177625437440 143022910770080000 148070778209024000 151472842040960000 157325201847088000 162877856029926400 173057722031796800 185088472761280000 196656502308860000 203597320037408000 216322152539746000 221513884200699904 228836657232128000 251720322955340800 254496650046760000 270402690674682500 276892355250874880 286045821540160000 302945684081920000 314650403694176000 325755712059852800 346115444063593600 370176945522560000 393313004617720000 407194640074816000 432644305079492000 503440645910681600 508993300093520000 540805381349365000 553784710501749760 572091643080320000 629300807388352000 692230888127187200 740353891045120000 786626009235440000 814389280149632000 865288610158984000 1017986600187040000 1081610762698730000 1107569421003499520 1144183286160640000 1258601614776704000 1384461776254374400 1573252018470880000 1628778560299264000 1730577220317968000 2035973200374080000 2163221525397460000 2517203229553408000 2768923552508748800 3146504036941760000 3461154440635936000 4071946400748160000 4326443050794920000 5537847105017497600 6293008073883520000 6922308881271872000 8143892801496320000 8652886101589840000 12586016147767040000 13844617762543744000 17305772203179680000 27689235525087488000 34611544406359360000 69223088812718720000 138446177625437440000
- Sum of all divisors σ(n): 404114838379096965120
- Sum of proper divisors (its aliquot sum) s(n): 265668660753659525120
- 138446177625437440000 is an abundant number, because the sum of its proper divisors (265668660753659525120) is greater than itself. Its abundance is 127222483128222085120
Bases of 138446177625437440000
- Binary: 11110000001010100111010000100000111111100101101010100001000000000002
- Hexadecimal: 0x78153A107F2D50800
- Base-36: T7UKI1Z5S3WN4
Squares and roots of 138446177625437440000
- 138446177625437440000 squared (1384461776254374400002) is 19167344099094174432505751353753600000000
- 138446177625437440000 cubed (1384461776254374400003) is 2653645525751072238088132581419610431955385974784000000000000
-
The
square root of 138446177625437440000 is 11766315380.1620258965 -
The
cube root of 138446177625437440000 is 5173212.5591994593
Scales and comparisons
How big is 138446177625437440000?- 138,446,177,625,437,440,000 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,446,177,625,437,440,000 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 138446177625437440000 cubic inches would be around 431101 feet tall.
Recreational maths with 138446177625437440000
- 138446177625437440000 backwards is 000044734526771644831
- The number of decimal digits it has is: 21
- The sum of 138446177625437440000's digits is 76
- More coming soon!
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"Number 138446177625437440000 - Facts about the integer". Numbermatics.com. 2024. Web. 18 June 2024.
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Numbermatics. (2024). Number 138446177625437440000 - Facts about the integer. Retrieved 18 June 2024, from https://numbermatics.com/n/138446177625437440000/
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Numbermatics. 2024. "Number 138446177625437440000 - Facts about the integer". https://numbermatics.com/n/138446177625437440000/
The information we have on file for 138446177625437440000 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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