138206484725792000
138,206,484,725,792,000 is an even composite number composed of six prime numbers multiplied together.
138206484725792000 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of two thousand, nine hundred sixteen divisors.
Prime factorization of 138206484725792000:
28 × 53 × 72 × 312 × 612 × 1572
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 31 × 31 × 61 × 61 × 157 × 157)See below for interesting mathematical facts about the number 138206484725792000 from the Numbermatics database.
Names of 138206484725792000
- Cardinal: 138206484725792000 can be written as One hundred thirty-eight quadrillion, two hundred six trillion, four hundred eighty-four billion, seven hundred twenty-five million, seven hundred ninety-two thousand.
Scientific notation
- Scientific notation: 1.38206484725792 × 1017
Factors of 138206484725792000
Divisors of 138206484725792000
- Number of divisors d(n): 2916
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 31 32 35 40 49 50 56 61 62 64 70 80 98 100 112 122 124 125 128 140 155 157 160 175 196 200 217 224 244 245 248 250 256 280 305 310 314 320 350 392 400 427 434 448 488 490 496 500 560 610 620 628 640 700 775 784 785 800 854 868 875 896 961 976 980 992 1000 1085 1099 1120 1220 1225 1240 1256 1280 1400 1519 1525 1550 1568 1570 1600 1708 1736 1750 1792 1891 1922 1952 1960 1984 2000 2135 2170 2198 2240 2440 2450 2480 2512 2800 2989 3038 3050 3100 3136 3140 3200 3416 3472 3500 3721 3782 3844 3875 3904 3920 3925 3968 4000 4270 4340 4396 4480 4805 4867 4880 4900 4960 5024 5425 5495 5600 5978 6076 6100 6125 6200 6272 6280 6400 6727 6832 6944 7000 7442 7564 7595 7625 7688 7693 7750 7808 7840 7850 7936 8000 8540 8680 8792 8960 9455 9577 9610 9734 9760 9800 9920 10048 10675 10850 10990 11200 11956 12152 12200 12250 12400 12544 12560 13237 13454 13664 13888 14000 14884 14945 15128 15190 15250 15376 15386 15500 15616 15680 15700 16000 17080 17360 17584 18605 18910 19154 19220 19468 19520 19600 19625 19840 20096 21350 21700 21980 22400 23912 24025 24304 24335 24400 24500 24649 24800 25120 26047 26474 26908 27125 27328 27475 27776 28000 29768 29890 30256 30380 30500 30752 30772 31000 31360 31400 32000 33635 34069 34160 34720 35168 37210 37820 37975 38308 38440 38465 38936 39040 39200 39250 39680 40192 42700 43400 43960 44800 47089 47275 47824 47885 48050 48608 48670 48800 49000 49298 49600 50240 52094 52948 53375 53816 54250 54656 54950 55552 56000 58621 59536 59780 60512 60760 61000 61504 61544 62000 62720 62800 66185 67039 67270 68138 68320 69440 70336 74420 74725 75640 75950 76616 76880 76930 77872 78080 78400 78500 85400 86800 87920 92659 93025 94178 94550 95648 95770 96100 97216 97340 97600 98000 98596 99200 100480 104188 105896 106750 107632 108500 109312 109900 112000 115351 117242 119072 119560 120125 121024 121520 121675 122000 123008 123088 123245 124000 125600 130235 132370 134078 134540 136276 136640 137375 138880 140672 148840 149450 150877 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111456842520800 112821620184320 113284003873600 123398647076600 125756583008000 127379248595200 138206484725792 139321053151000 141027025230400 141605004842000 143815280672000 154248308845750 157950268258048 159224060744000 161834291248000 172758105907240 176059216211200 176283781538000 178330948033280 197437835322560 215947632384050 220074020264000 222913685041600 226568007747200 246797294153200 276412969451584 278642106302000 282054050460800 283210009684000 308496617691500 318448121488000 323668582496000 345516211814480 352567563076000 394875670645120 431895264768100 440148040528000 445827370083200 453136015494400 493594588306400 539869080960125 552825938903168 557284212604000 564108100921600 566420019368000 616993235383000 636896242976000 691032423628960 705135126152000 789751341290240 863790529536200 880296081056000 891654740166400 987189176612800 1079738161920250 1105651877806336 1114568425208000 1132840038736000 1233986470766000 1382064847257920 1410270252304000 1727581059072400 1974378353225600 2159476323840500 2229136850416000 2265680077472000 2467972941532000 2764129694515840 2820540504608000 3455162118144800 3948756706451200 4318952647681000 4458273700832000 4935945883064000 5528259389031680 6910324236289600 8637905295362000 9871891766128000 13820648472579200 17275810590724000 19743783532256000 27641296945158400 34551621181448000 69103242362896000 138206484725792000
- Sum of all divisors σ(n): 423428601951387396
- Sum of proper divisors (its aliquot sum) s(n): 285222117225595396
- 138206484725792000 is an abundant number, because the sum of its proper divisors (285222117225595396) is greater than itself. Its abundance is 147015632499803396
Bases of 138206484725792000
- Binary: 1111010110000001000010000110010111011110001111101000000002
- Hexadecimal: 0x1EB0210CBBC7D00
- Base-36: 11SU3YKS1O8W
Squares and roots of 138206484725792000
- 138206484725792000 squared (1382064847257920002) is 19101032420260577397430027264000000
- 138206484725792000 cubed (1382064847257920003) is 2639886545437601288274439694617114123993088000000000
-
The
square root of 138206484725792000 is 371761327.6361488357 -
The
cube root of 138206484725792000 is 517022.5360790089
Scales and comparisons
How big is 138206484725792000?- 138,206,484,725,792,000 seconds is equal to 4,394,538,713 years, 28 weeks, 5 days, 16 hours, 53 minutes, 20 seconds.
-
To count from 1 to 138,206,484,725,792,000 would take you about thirteen billion, one hundred eighty-three million, six hundred sixteen thousand, one hundred forty 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 138206484725792000 cubic inches would be around 43085.2 feet tall.
Recreational maths with 138206484725792000
- 138206484725792000 backwards is 000297527484602831
- The number of decimal digits it has is: 18
- The sum of 138206484725792000's digits is 68
- More coming soon!
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"Number 138206484725792000 - Facts about the integer". Numbermatics.com. 2024. Web. 12 June 2024.
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Numbermatics. (2024). Number 138206484725792000 - Facts about the integer. Retrieved 12 June 2024, from https://numbermatics.com/n/138206484725792000/
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The information we have on file for 138206484725792000 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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