137749364128768
137,749,364,128,768 is an even composite number composed of five prime numbers multiplied together.
137749364128768 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of three hundred ninety-six divisors.
Prime factorization of 137749364128768:
210 × 72 × 37 × 211 × 5932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 37 × 211 × 593 × 593)See below for interesting mathematical facts about the number 137749364128768 from the Numbermatics database.
Names of 137749364128768
- Cardinal: 137749364128768 can be written as One hundred thirty-seven trillion, seven hundred forty-nine billion, three hundred sixty-four million, one hundred twenty-eight thousand, seven hundred sixty-eight.
Scientific notation
- Scientific notation: 1.37749364128768 × 1014
Factors of 137749364128768
Divisors of 137749364128768
- Number of divisors d(n): 396
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 37 49 56 64 74 98 112 128 148 196 211 224 256 259 296 392 422 448 512 518 592 593 784 844 896 1024 1036 1184 1186 1477 1568 1688 1792 1813 2072 2368 2372 2954 3136 3376 3584 3626 4144 4151 4736 4744 5908 6272 6752 7168 7252 7807 8288 8302 9472 9488 10339 11816 12544 13504 14504 15614 16576 16604 18944 18976 20678 21941 23632 25088 27008 29008 29057 31228 33152 33208 37888 37952 41356 43882 47264 50176 54016 54649 58016 58114 62456 66304 66416 75904 82712 87764 94528 108032 109298 116032 116228 124912 125123 132608 132832 151808 153587 165424 175528 189056 216064 218596 232064 232456 249824 250246 265216 265664 303616 307174 330848 351056 351649 378112 382543 437192 464128 464912 499648 500492 531328 607232 614348 661696 702112 703298 756224 765086 874384 875861 928256 929824 999296 1000984 1062656 1075109 1228696 1323392 1404224 1406596 1512448 1530172 1748768 1751722 1856512 1859648 1998592 2001968 2125312 2150218 2457392 2461543 2646784 2808448 2813192 3060344 3497536 3503444 3719296 3997184 4003936 4250624 4300436 4629551 4914784 4923086 5293568 5616896 5626384 6120688 6131027 6995072 7006888 7438592 7994368 8007872 8600872 9259102 9829568 9846172 10587136 11233792 11252768 12241376 12262054 13011013 13990144 14013776 14877184 16015744 17201744 17230801 18518204 19659136 19692344 22467584 22505536 24482752 24524108 26022026 27980288 28027552 29754368 32031488 32406857 34403488 34461602 37036408 39318272 39384688 45011072 48965504 49048216 52044052 55960576 56055104 64062976 64813714 68806976 68923204 74072816 74197939 78636544 78769376 90022144 91077091 97931008 98096432 104088104 112110208 128125952 129627428 137613952 137846408 148145632 148395878 157273088 157538752 180044288 182154182 195862016 196192864 208176208 224220416 226847999 259254856 275227904 275692816 296291264 296791756 315077504 360088576 364308364 391724032 392385728 416352416 448440832 453695998 518509712 519385573 550455808 551385632 592582528 593583512 630155008 637539637 728616728 784771456 832704832 896881664 907391996 1037019424 1038771146 1100911616 1102771264 1185165056 1187167024 1260310016 1275079274 1457233456 1569542912 1665409664 1814783992 2074038848 2077542292 2205542528 2370330112 2374334048 2520620032 2550158548 2745323743 2914466912 3139085824 3330819328 3629567984 3635699011 4148077696 4155084584 4411085056 4740660224 4748668096 5100317096 5490647486 5828933824 6278171648 6661638656 7259135968 7271398022 8296155392 8310169168 8822170112 9497336192 10200634192 10981294972 11657867648 13323277312 14518271936 14542796044 16592310784 16620338336 17644340224 18994672384 19217266201 20401268384 21962589944 23315735296 29036543872 29085592088 33184621568 33240676672 37989344768 38434532402 40802536768 43925179888 46631470592 58073087744 58171184176 66481353344 75978689536 76869064804 81605073536 87850359776 93262941184 116146175488 116342368352 132962706688 134520863407 153738129608 163210147072 175700719552 232292350976 232684736704 265925413376 269041726814 307476259216 326420294144 351401439104 465369473408 531850826752 538083453628 614952518432 652840588288 702802878208 930738946816 1076166907256 1229905036864 1405605756416 1861477893632 2152333814512 2459810073728 2811211512832 3722955787264 4304667629024 4919620147456 8609335258048 9839240294912 17218670516096 19678480589824 34437341032192 68874682064384 137749364128768
- Sum of all divisors σ(n): 331096452191832
- Sum of proper divisors (its aliquot sum) s(n): 193347088063064
- 137749364128768 is an abundant number, because the sum of its proper divisors (193347088063064) is greater than itself. Its abundance is 55597723934296
Bases of 137749364128768
- Binary: 111110101001000010001011110101010111100000000002
- Hexadecimal: 0x7D4845EABC00
- Base-36: 1CTT6MTHJ4
Squares and roots of 137749364128768
- 137749364128768 squared (1377493641287682) is 18974887317879916223685197824
- 137749364128768 cubed (1377493641287683) is 2613778662452982578334678788761679489400832
-
The
square root of 137749364128768 is 11736667.5052490091 -
The
cube root of 137749364128768 is 51645.1885821243
Scales and comparisons
How big is 137749364128768?- 137,749,364,128,768 seconds is equal to 4,380,003 years, 36 weeks, 1 hour, 59 minutes, 28 seconds.
-
To count from 1 to 137,749,364,128,768 would take you about ten million, nine hundred fifty 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 137749364128768 cubic inches would be around 4303.8 feet tall.
Recreational maths with 137749364128768
- 137749364128768 backwards is 867821463947731
- The number of decimal digits it has is: 15
- The sum of 137749364128768's digits is 76
- More coming soon!
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