135375701162128000
135,375,701,162,128,000 is an even composite number composed of five prime numbers multiplied together.
What does the number 135375701162128000 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 2048 divisors.
135375701162128000 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of two thousand and forty-eight divisors.
Prime factorization of 135375701162128000:
27 × 53 × 73 × 413 × 713
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 5 × 5 × 5 × 7 × 7 × 7 × 41 × 41 × 41 × 71 × 71 × 71)See below for interesting mathematical facts about the number 135375701162128000 from the Numbermatics database.
Names of 135375701162128000
- Cardinal: 135375701162128000 can be written as One hundred thirty-five quadrillion, three hundred seventy-five trillion, seven hundred one billion, one hundred sixty-two million, one hundred twenty-eight thousand.
Scientific notation
- Scientific notation: 1.35375701162128 × 1017
Factors of 135375701162128000
Divisors of 135375701162128000
- Number of divisors d(n): 2048
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Complete list of divisors:
1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 71 80 82 98 100 112 125 128 140 142 160 164 175 196 200 205 224 245 250 280 284 287 320 328 343 350 355 392 400 410 448 490 497 500 560 568 574 640 656 686 700 710 784 800 820 875 896 980 994 1000 1025 1120 1136 1148 1225 1312 1372 1400 1420 1435 1568 1600 1640 1681 1715 1750 1775 1960 1988 2000 2009 2050 2240 2272 2296 2450 2485 2624 2744 2800 2840 2870 2911 3136 3200 3280 3362 3430 3479 3500 3550 3920 3976 4000 4018 4100 4480 4544 4592 4900 4970 5041 5125 5248 5488 5600 5680 5740 5822 6125 6272 6560 6724 6860 6958 7000 7100 7175 7840 7952 8000 8036 8200 8405 8575 8875 9088 9184 9800 9940 10045 10082 10250 10976 11200 11360 11480 11644 11767 12250 12425 13120 13448 13720 13916 14000 14063 14200 14350 14555 15680 15904 16000 16072 16400 16810 17150 17395 17750 18368 19600 19880 20090 20164 20377 20500 21952 22400 22720 22960 23288 23534 24353 24500 24850 25205 26240 26896 27440 27832 28000 28126 28400 28700 29110 31360 31808 32144 32800 33620 34300 34790 35287 35500 35875 36736 39200 39760 40180 40328 40754 41000 42025 42875 43904 45440 45920 46576 47068 48706 49000 49700 50225 50410 53792 54880 55664 56000 56252 56800 57400 58220 58835 62125 63616 64288 65600 67240 68600 68921 69580 70315 70574 71000 71750 72775 78400 79520 80360 80656 81508 82000 82369 84050 85750 86975 91840 93152 94136 97412 98000 99400 100450 100820 101885 107584 109760 111328 112000 112504 113600 114800 116440 117670 119351 121765 124250 126025 128576 131200 134480 137200 137842 139160 140630 141148 142000 142639 143500 145550 156800 159040 160720 161312 163016 164000 164738 168100 171500 173950 176435 183680 186304 188272 194824 196000 198800 200900 201640 203770 206681 210125 215168 219520 222656 225008 227200 229600 232880 235340 238702 243530 247009 248500 251125 252050 257152 268960 274400 275684 278320 281260 282296 284000 285278 287000 291100 294175 318080 321440 322624 326032 328000 329476 336200 343000 344605 347900 351575 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47667500409200 48348464700760 49335168062000 51591349528250 54477143324800 55255388229440 58961542318000 59584375511500 60435580875950 66036927396160 67384619792000 67687850581064 68096429156000 69069235286800 76268000654720 77357543521216 78936268899200 80532838288000 82546159245200 84609813226330 86336544108500 94338467708800 95335000818400 96696929401520 98670336124000 103182699056500 110510776458880 117923084636000 119168751023000 120871161751900 132073854792320 135375701162128 136192858312000 138138470573600 151088952189875 154715087042432 165092318490400 169219626452660 172673088217000 190670001636800 193393858803040 197340672248000 206365398113000 211524533065825 235846169272000 238337502046000 241742323503800 270751402324256 272385716624000 276276941147200 302177904379750 330184636980800 338439252905320 345346176434000 381340003273600 386787717606080 394681344496000 412730796226000 423049066131650 471692338544000 476675004092000 483484647007600 541502804648512 552553882294400 604355808759500 660369273961600 676878505810640 690692352868000 773575435212160 825461592452000 846098132263300 953350008184000 966969294015200 1057622665329125 1083005609297024 1208711617519000 1353757011621280 1381384705736000 1650923184904000 1692196264526600 1906700016368000 1933938588030400 2115245330658250 2417423235038000 2707514023242560 2762769411472000 3301846369808000 3384392529053200 3867877176060800 4230490661316500 4834846470076000 5415028046485120 6768785058106400 8460981322633000 9669692940152000 13537570116212800 16921962645266000 19339385880304000 27075140232425600 33843925290532000 67687850581064000 135375701162128000
- Sum of all divisors σ(n): 408070678159872000
- Sum of proper divisors (its aliquot sum) s(n): 272694976997744000
- 135375701162128000 is an abundant number, because the sum of its proper divisors (272694976997744000) is greater than itself. Its abundance is 137319275835616000
Bases of 135375701162128000
- Binary: 1111000001111001101111011101000101111110011110010100000002
- Hexadecimal: 0x1E0F37BA2FCF280
- Base-36: 110YOIK6WN0G
Squares and roots of 135375701162128000
- 135375701162128000 squared (1353757011621280002) is 18326580465137784329741488384000000
- 135375701162128000 cubed (1353757011621280003) is 2480973680372185452877427836579685212721152000000000
-
The
square root of 135375701162128000 is 367934370.7268023091 -
The
cube root of 135375701162128000 is 513468.2246741567
Scales and comparisons
How big is 135375701162128000?- 135,375,701,162,128,000 seconds is equal to 4,304,528,552 years, 21 weeks, 5 days, 4 hours, 26 minutes, 40 seconds.
-
To count from 1 to 135,375,701,162,128,000 would take you about twelve billion, nine hundred thirteen million, five hundred eighty-five thousand, six hundred fifty-seven 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 135375701162128000 cubic inches would be around 42789 feet tall.
Recreational maths with 135375701162128000
- 135375701162128000 backwards is 000821261107573531
- The number of decimal digits it has is: 18
- The sum of 135375701162128000's digits is 52
- More coming soon!
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The information we have on file for 135375701162128000 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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