138876350054400
138,876,350,054,400 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138876350054400 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 3240 divisors.
138876350054400 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of three thousand, two hundred forty divisors.
Prime factorization of 138876350054400:
214 × 32 × 52 × 72 × 59 × 83 × 157
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 × 7 × 7 × 59 × 83 × 157)See below for interesting mathematical facts about the number 138876350054400 from the Numbermatics database.
Names of 138876350054400
- Cardinal: 138876350054400 can be written as One hundred thirty-eight trillion, eight hundred seventy-six billion, three hundred fifty million, fifty-four thousand, four hundred.
Scientific notation
- Scientific notation: 1.388763500544 × 1014
Factors of 138876350054400
Divisors of 138876350054400
- Number of divisors d(n): 3240
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Complete list of divisors:
1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 25 28 30 32 35 36 40 42 45 48 49 50 56 59 60 63 64 70 72 75 80 83 84 90 96 98 100 105 112 118 120 126 128 140 144 147 150 157 160 166 168 175 177 180 192 196 200 210 224 225 236 240 245 249 252 256 280 288 294 295 300 314 315 320 332 336 350 354 360 384 392 400 413 415 420 441 448 450 471 472 480 490 498 504 512 525 531 560 576 581 588 590 600 628 630 640 664 672 700 708 720 735 747 768 784 785 800 826 830 840 882 885 896 900 942 944 960 980 996 1008 1024 1050 1062 1099 1120 1152 1162 1176 1180 1200 1225 1239 1245 1256 1260 1280 1328 1344 1400 1413 1416 1440 1470 1475 1494 1536 1568 1570 1575 1600 1652 1660 1680 1743 1764 1770 1792 1800 1884 1888 1920 1960 1992 2016 2048 2065 2075 2100 2124 2198 2205 2240 2304 2324 2352 2355 2360 2400 2450 2478 2490 2512 2520 2560 2655 2656 2688 2800 2826 2832 2880 2891 2905 2940 2950 2988 3072 3136 3140 3150 3200 3297 3304 3320 3360 3486 3528 3540 3584 3600 3675 3717 3735 3768 3776 3840 3920 3925 3984 4032 4067 4096 4130 4150 4200 4248 4396 4410 4425 4480 4608 4648 4704 4710 4720 4800 4897 4900 4956 4980 5024 5040 5120 5229 5310 5312 5376 5495 5600 5652 5664 5760 5782 5810 5880 5900 5976 6144 6195 6225 6272 6280 6300 6400 6594 6608 6640 6720 6972 7056 7065 7080 7168 7200 7350 7434 7470 7536 7552 7680 7693 7840 7850 7968 8064 8134 8192 8260 8300 8400 8496 8673 8715 8792 8820 8850 8960 9216 9263 9296 9408 9420 9440 9600 9794 9800 9891 9912 9960 10048 10080 10240 10325 10458 10620 10624 10752 10990 11025 11200 11304 11328 11520 11564 11620 11760 11775 11800 11952 12201 12288 12390 12450 12544 12560 12600 12800 13031 13188 13216 13275 13280 13440 13944 14112 14130 14160 14336 14400 14455 14525 14691 14700 14868 14940 15072 15104 15360 15386 15680 15700 15936 16128 16268 16384 16485 16520 16600 16800 16992 17346 17430 17584 17640 17700 17920 18432 18526 18585 18592 18675 18816 18840 18880 19200 19588 19600 19782 19824 19920 20096 20160 20335 20480 20650 20916 21240 21248 21504 21980 22050 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884562739200 925842333696 944737075200 964419097600 991973928960 1084971484800 1102193254400 1157302917120 1176918220800 1239967411200 1322631905280 1388763500544 1417105612800 1446628646400 1543070556160 1653289881600 1673209036800 1735954375680 1851684667392 1928838195200 1983947857920 2169942969600 2204386508800 2314605834240 2353836441600 2479934822400 2777527001088 2834211225600 2893257292800 3086141112320 3306579763200 3471908751360 3857676390400 3967895715840 4339885939200 4629211668480 4959869644800 5555054002176 5786514585600 6613159526400 6943817502720 7715352780800 8679771878400 9258423336960 9919739289600 11573029171200 13887635005440 15430705561600 17359543756800 19839478579200 23146058342400 27775270010880 34719087513600 46292116684800 69438175027200 138876350054400
- Sum of all divisors σ(n): 599382703614240
- Sum of proper divisors (its aliquot sum) s(n): 460506353559840
- 138876350054400 is an abundant number, because the sum of its proper divisors (460506353559840) is greater than itself. Its abundance is 321630003505440
Bases of 138876350054400
- Binary: 111111001001110101010111000001101000000000000002
- Hexadecimal: 0x7E4EAB834000
- Base-36: 1D86WX5340
Squares and roots of 138876350054400
- 138876350054400 squared (1388763500544002) is 19286640604432246882959360000
- 138876350054400 cubed (1388763500544003) is 2678458251954537518285387345568989184000000
-
The
square root of 138876350054400 is 11784581.0300748493 -
The
cube root of 138876350054400 is 51785.6499426989
Scales and comparisons
How big is 138876350054400?- 138,876,350,054,400 seconds is equal to 4,415,838 years, 18 weeks, 4 days, 16 hours.
-
To count from 1 to 138,876,350,054,400 would take you about eleven million, thirty-nine thousand, five hundred ninety-five 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 138876350054400 cubic inches would be around 4315.5 feet tall.
Recreational maths with 138876350054400
- 138876350054400 backwards is 004450053678831
- The number of decimal digits it has is: 15
- The sum of 138876350054400's digits is 54
- More coming soon!
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Cite this page
MLA style:
"Number 138876350054400 - Facts about the integer". Numbermatics.com. 2024. Web. 22 June 2024.
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Numbermatics. (2024). Number 138876350054400 - Facts about the integer. Retrieved 22 June 2024, from https://numbermatics.com/n/138876350054400/
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Numbermatics. 2024. "Number 138876350054400 - Facts about the integer". https://numbermatics.com/n/138876350054400/
The information we have on file for 138876350054400 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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