138642253308670420448
138,642,253,308,670,420,448 is an even composite number composed of three prime numbers multiplied together.
138642253308670420448 is an even composite number. It is composed of three distinct prime numbers multiplied together. It has a total of two hundred fifty-two divisors.
Prime factorization of 138642253308670420448:
25 × 315 × 736
(2 × 2 × 2 × 2 × 2 × 31 × 31 × 31 × 31 × 31 × 73 × 73 × 73 × 73 × 73 × 73)See below for interesting mathematical facts about the number 138642253308670420448 from the Numbermatics database.
Names of 138642253308670420448
- Cardinal: 138642253308670420448 can be written as One hundred thirty-eight quintillion, six hundred forty-two quadrillion, two hundred fifty-three trillion, three hundred eight billion, six hundred seventy million, four hundred twenty thousand, four hundred forty-eight.
Scientific notation
- Scientific notation: 1.38642253308670420448 × 1020
Factors of 138642253308670420448
Divisors of 138642253308670420448
- Number of divisors d(n): 252
-
Complete list of divisors:
1 2 4 8 16 31 32 62 73 124 146 248 292 496 584 961 992 1168 1922 2263 2336 3844 4526 5329 7688 9052 10658 15376 18104 21316 29791 30752 36208 42632 59582 70153 72416 85264 119164 140306 165199 170528 238328 280612 330398 389017 476656 561224 660796 778034 923521 953312 1122448 1321592 1556068 1847042 2174743 2244896 2643184 3112136 3694084 4349486 5121169 5286368 6224272 7388168 8698972 10242338 12059527 12448544 14776336 17397944 20484676 24119054 28398241 28629151 29552672 34795888 40969352 48238108 56796482 57258302 67417033 69591776 81938704 96476216 113592964 114516604 134834066 158756239 163877408 192952432 227185928 229033208 269668132 317512478 373845337 385904864 454371856 458066416 539336264 635024956 747690674 880345471 908743712 916132832 1078672528 1270049912 1495381348 1760690942 2073071593 2089928023 2157345056 2540099824 2990762696 3521381884 4146143186 4179856046 4921443409 5080199648 5981525392 7042763768 8292286372 8359712092 9842886818 11589205447 11963050784 14085527536 16584572744 16719424184 19685773636 23178410894 27290709601 28171055072 33169145488 33438848368 39371547272 46356821788 54581419202 64265219383 66338290976 66877696736 78743094544 92713643576 109162838404 128530438766 151334226289 152564745679 157486189088 185427287152 218325676808 257060877532 302668452578 305129491358 359265368857 370854574304 436651353616 514121755064 605336905156 610258982716 718530737714 846011997631 873302707232 1028243510128 1210673810312 1220517965432 1437061475428 1692023995262 1992221800873 2056487020256 2421347620624 2441035930864 2874122950856 3384047990524 3984443601746 4691361014959 4842695241248 4882071861728 5748245901712 6768095981048 7968887203492 9382722029918 11137226434567 11496491803424 13536191962096 15937774406984 18765444059836 22274452869134 26226371926561 27072383924192 31875548813968 37530888119672 44548905738268 52452743853122 61758875827063 63751097627936 75061776239344 89097811476536 104905487706244 123517751654126 145432191463729 150123552478688 178195622953072 209810975412488 247035503308252 290864382927458 356391245906144 419621950824976 494071006616504 581728765854916 813017529723391 839243901649952 988142013233008 1163457531709832 1626035059446782 1914525150638953 1976284026466016 2326915063419664 3252070118893564 3829050301277906 4508397935375599 4653830126839328 6504140237787128 7658100602555812 9016795870751198 13008280475574256 15316201205111624 18033591741502396 26016560951148512 30632402410223248 36067183483004792 59350279669807543 61264804820446496 72134366966009584 118700559339615086 139760335996643569 144268733932019168 237401118679230172 279520671993287138 474802237358460344 559041343986574276 949604474716920688 1118082687973148552 1899208949433841376 2236165375946297104 4332570415895950639 4472330751892594208 8665140831791901278 17330281663583802556 34660563327167605112 69321126654335210224 138642253308670420448
- Sum of all divisors σ(n): 285967699503623966304
- Sum of proper divisors (its aliquot sum) s(n): 147325446194953545856
- 138642253308670420448 is an abundant number, because the sum of its proper divisors (147325446194953545856) is greater than itself. Its abundance is 8683192886283125408
Bases of 138642253308670420448
- Binary: 11110000100000011000011101011010011011110110000011010100101111000002
- Hexadecimal: 0x7840C3AD37B06A5E0
- Base-36: T9C7530IWWNA8
Squares and roots of 138642253308670420448
- 138642253308670420448 squared (1386422533086704204482) is 19221674402505534146013407147545096520704
- 138642253308670420448 cubed (1386422533086704204483) is 2664936251528958418507672144638734608010617020198445616955392
-
The
square root of 138642253308670420448 is 11774644508.8023961305 -
The
cube root of 138642253308670420448 is 5175653.6105985255 - Being both a perfect square and a perfect cube, 138642253308670420448 is also a
perfect sixth number .
Scales and comparisons
How big is 138642253308670420448?- 138,642,253,308,670,420,448 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 138,642,253,308,670,420,448 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 138642253308670420448 cubic inches would be around 431304.5 feet tall.
Recreational maths with 138642253308670420448
- 138642253308670420448 backwards is 844024076803352246831
- The number of decimal digits it has is: 21
- The sum of 138642253308670420448's digits is 80
- More coming soon!
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