138061288512000
138,061,288,512,000 is an even composite number composed of seven prime numbers multiplied together.
What does the number 138061288512000 look like?
This visualization shows the relationship between its 7 prime factors (large circles) and 4800 divisors.
138061288512000 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of four thousand, eight hundred divisors.
Prime factorization of 138061288512000:
29 × 34 × 53 × 7 × 312 × 37 × 107
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5 × 5 × 7 × 31 × 31 × 37 × 107)See below for interesting mathematical facts about the number 138061288512000 from the Numbermatics database.
Names of 138061288512000
- Cardinal: 138061288512000 can be written as One hundred thirty-eight trillion, sixty-one billion, two hundred eighty-eight million, five hundred twelve thousand.
Scientific notation
- Scientific notation: 1.38061288512 × 1014
Factors of 138061288512000
Divisors of 138061288512000
- Number of divisors d(n): 4800
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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 27 28 30 31 32 35 36 37 40 42 45 48 50 54 56 60 62 63 64 70 72 74 75 80 81 84 90 93 96 100 105 107 108 111 112 120 124 125 126 128 135 140 144 148 150 155 160 162 168 175 180 185 186 189 192 200 210 214 216 217 222 224 225 240 248 250 252 256 259 270 279 280 288 296 300 310 315 320 321 324 333 336 350 360 370 372 375 378 384 400 405 420 428 432 434 444 448 450 465 480 496 500 504 512 518 525 535 540 555 558 560 567 576 592 600 620 630 640 642 648 651 666 672 675 700 720 740 744 749 750 756 768 775 777 800 810 837 840 856 864 868 875 888 896 900 925 930 945 960 961 963 992 999 1000 1008 1036 1050 1070 1080 1085 1110 1116 1120 1125 1134 1147 1152 1184 1200 1240 1260 1280 1284 1295 1296 1302 1332 1344 1350 1395 1400 1440 1480 1488 1498 1500 1512 1536 1550 1554 1575 1600 1605 1620 1665 1674 1680 1712 1728 1736 1750 1776 1792 1800 1850 1860 1890 1920 1922 1926 1953 1984 1998 2000 2016 2025 2072 2100 2140 2160 2170 2220 2232 2240 2247 2250 2268 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552245154048 556698744000 575255368800 613605726720 616345038000 621897696000 636227136000 639172632000 645146208000 657434707200 690306442560 719069211000 730483008000 742264992000 746277235200 767007158400 788921648640 821793384000 852230176000 862883053200 890717990400 920408590080 932846544000 958758948000 986152060800 1022676211200 1078603816500 1095724512000 1104490308096 1113397488000 1150510737600 1232690076000 1243795392000 1278345264000 1290292416000 1314869414400 1380612885120 1438138422000 1484529984000 1534014316800 1643586768000 1704460352000 1725766106400 1840817180160 1865693088000 1917517896000 1972304121600 2157207633000 2191449024000 2226794976000 2301021475200 2465380152000 2556690528000 2761225770240 2876276844000 3068028633600 3287173536000 3451532212800 3731386176000 3835035792000 3944608243200 4314415266000 4453589952000 4602042950400 4930760304000 5113381056000 5522451540480 5752553688000 6574347072000 6903064425600 7670071584000 8628830532000 9204085900800 9861520608000 11505107376000 13806128851200 15340143168000 17257661064000 19723041216000 23010214752000 27612257702400 34515322128000 46020429504000 69030644256000 138061288512000
- Sum of all divisors σ(n): 629552843682048
- Sum of proper divisors (its aliquot sum) s(n): 491491555170048
- 138061288512000 is an abundant number, because the sum of its proper divisors (491491555170048) is greater than itself. Its abundance is 353430266658048
Bases of 138061288512000
- Binary: 111110110010000111001100000111100011010000000002
- Hexadecimal: 0x7D90E60F1A00
- Base-36: 1CXSHAJK00
Squares and roots of 138061288512000
- 138061288512000 squared (1380612885120002) is 19060919385593703174144000000
- 138061288512000 cubed (1380612885120003) is 2631575090598426030335984962633728000000000
-
The
square root of 138061288512000 is 11749948.4472060557 -
The
cube root of 138061288512000 is 51684.1415733451
Scales and comparisons
How big is 138061288512000?- 138,061,288,512,000 seconds is equal to 4,389,921 years, 48 weeks.
-
To count from 1 to 138,061,288,512,000 would take you about ten million, nine hundred seventy-four thousand, eight hundred four 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 138061288512000 cubic inches would be around 4307 feet tall.
Recreational maths with 138061288512000
- 138061288512000 backwards is 000215882160831
- 138061288512000 is a
Harshad number . - The number of decimal digits it has is: 15
- The sum of 138061288512000's digits is 45
- More coming soon!
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The information we have on file for 138061288512000 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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