137992526309176157696
137,992,526,309,176,157,696 is an even composite number composed of five prime numbers multiplied together.
What does the number 137992526309176157696 look like?
This visualization shows the relationship between its 5 prime factors (large circles) and 1680 divisors.
137992526309176157696 is an even composite number. It is composed of five distinct prime numbers multiplied together. It has a total of one thousand, six hundred eighty divisors.
Prime factorization of 137992526309176157696:
29 × 72 × 113 × 17 × 796
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 11 × 11 × 11 × 17 × 79 × 79 × 79 × 79 × 79 × 79)See below for interesting mathematical facts about the number 137992526309176157696 from the Numbermatics database.
Names of 137992526309176157696
- Cardinal: 137992526309176157696 can be written as One hundred thirty-seven quintillion, nine hundred ninety-two quadrillion, five hundred twenty-six trillion, three hundred nine billion, one hundred seventy-six million, one hundred fifty-seven thousand, six hundred ninety-six.
Scientific notation
- Scientific notation: 1.37992526309176157696 × 1020
Factors of 137992526309176157696
Divisors of 137992526309176157696
- Number of divisors d(n): 1680
-
Complete list of divisors:
1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 64 68 77 79 88 98 112 119 121 128 136 154 158 176 187 196 224 238 242 256 272 308 316 352 374 392 448 476 484 512 539 544 553 616 632 704 748 784 833 847 869 896 952 968 1078 1088 1106 1232 1264 1309 1331 1343 1408 1496 1568 1666 1694 1738 1792 1904 1936 2057 2156 2176 2212 2464 2528 2618 2662 2686 2816 2992 3136 3332 3388 3476 3584 3808 3871 3872 4114 4312 4352 4424 4928 5056 5236 5324 5372 5632 5929 5984 6083 6241 6272 6664 6776 6952 7616 7742 7744 8228 8624 8704 8848 9163 9317 9401 9559 9856 10112 10472 10648 10744 11858 11968 12166 12482 12544 13328 13552 13904 14399 14773 15232 15484 15488 16456 17248 17696 18326 18634 18802 19118 19712 20224 20944 21296 21488 22627 23716 23936 24332 24964 25088 26656 27104 27808 28798 29546 30464 30968 30976 32912 34496 35392 36652 37268 37604 38236 39424 40448 41888 42581 42592 42976 43687 45254 47432 47872 48664 49928 53312 54208 55616 57596 59092 60928 61936 61952 65219 65807 65824 66913 68651 68992 70784 73304 74536 75208 76472 83776 85162 85184 85952 87374 90508 94864 95744 97328 99856 100793 103411 105149 106097 106624 108416 111232 115192 118184 123872 130438 131614 131648 133826 137302 137984 141568 146608 149072 150416 152944 158389 162503 167552 170324 170368 171904 174748 181016 189728 194656 199712 201586 206822 210298 212194 213248 216832 222464 230384 236368 247744 260876 263228 263296 267652 274604 275968 283136 293216 298144 300832 305809 305888 316778 325006 335104 340648 340736 343808 349496 362032 379456 389312 399424 403172 413644 420596 424388 426496 433664 444928 460768 468391 472736 480557 493039 495488 521752 526456 526592 535304 549208 586432 596288 601664 611618 611776 633556 650012 670208 681296 681472 687616 698992 723877 724064 736043 742679 755161 758912 778624 798848 806344 827288 841192 848776 921536 936782 945472 961114 986078 990976 1043504 1052912 1053184 1070608 1098416 1108723 1137521 1167067 1172864 1192576 1203328 1223236 1223552 1267112 1300024 1362592 1397984 1447754 1448128 1472086 1485358 1510322 1517824 1557248 1597696 1612688 1654576 1682384 1697552 1787533 1843072 1873564 1890944 1922228 1972156 1981952 2087008 2105824 2141216 2196832 2217446 2275042 2334134 2345728 2385152 2406656 2446472 2447104 2534224 2600048 2725184 2795968 2895508 2896256 2944172 2970716 3020644 3035648 3114496 3195392 3225376 3309152 3363899 3364768 3395104 3451273 3575066 3686144 3747128 3781888 3844456 3944312 4174016 4211648 4282432 4393664 4434892 4550084 4668268 4691456 4770304 4813312 4892944 4894208 5068448 5152301 5198753 5200096 5286127 5423429 5450368 5591936 5791016 5792512 5888344 5941432 6041288 6450752 6618304 6727798 6729536 6790208 6902546 7150132 7372288 7494256 7563776 7688912 7888624 7962647 8169469 8306771 8348032 8381663 8423296 8564864 8787328 8869784 9100168 9336536 9785888 10136896 10304602 10397506 10400192 10572254 10846858 10900736 11183872 11582032 11585024 11776688 11882864 12082576 12512731 12837737 12901504 13236608 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64003954688857216 67084358925219328 71277131358045536 72475066338853024 77004757985031338 79397310879848192 81459578694909184 82828647244403456 88005437697178672 92240993522176576 98006055617312612 102749461138627072 103675827429884416 105418278311058944 109171302459791264 112006920705500128 124767202811190016 126831366092992792 128007909377714432 142554262716091072 144950132677706048 154009515970062676 158794621759696384 162919157389818368 165657294488806912 176010875394357344 184481987044353152 196012111234625224 218342604919582528 224013841411000256 249534405622380032 253662732185985584 256015818755428864 269516652947609683 285108525432182144 289900265355412096 308019031940125352 352021750788714688 368963974088706304 392024222469250448 436685209839165056 448027682822000512 507325464371971168 539033305895219366 570217050864364288 579800530710824192 616038063880250704 704043501577429376 737927948177412608 784048444938500896 873370419678330112 896055365644001024 1014650928743942336 1078066611790438732 1140434101728728576 1159601061421648384 1232076127760501408 1408087003154858752 1568096889877001792 1746740839356660224 1792110731288002048 2029301857487884672 2156133223580877464 2464152255521002816 2816174006309717504 3136193779754003584 4058603714975769344 4312266447161754928 4928304511042005632 6272387559508007168 8117207429951538688 8624532894323509856 9856609022084011264 12544775119016014336 17249065788647019712 19713218044168022528 34498131577294039424 68996263154588078848 137992526309176157696
- Sum of all divisors σ(n): 378319831479157333392
- Sum of proper divisors (its aliquot sum) s(n): 240327305169981175696
- 137992526309176157696 is an abundant number, because the sum of its proper divisors (240327305169981175696) is greater than itself. Its abundance is 102334778860805018000
Bases of 137992526309176157696
- Binary: 11101111011000001111110111110001111111111010011000010100110000000002
- Hexadecimal: 0x77B07EF8FFD30A600
- Base-36: T4EHO31J00XKW
Squares and roots of 137992526309176157696
- 137992526309176157696 squared (1379925263091761576962) is 19041937317188674054480656679661860028416
- 137992526309176157696 cubed (1379925263091761576963) is 2627645036219841366184920094218568096152326610918224257089536
-
The
square root of 137992526309176157696 is 11747022018.7576118161 -
The
cube root of 137992526309176157696 is 5167555.9622427825 - Being both a perfect square and a perfect cube, 137992526309176157696 is also a
perfect sixth number .
Scales and comparisons
How big is 137992526309176157696?- 137,992,526,309,176,157,696 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,992,526,309,176,157,696 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 137992526309176157696 cubic inches would be around 430629.7 feet tall.
Recreational maths with 137992526309176157696
- 137992526309176157696 backwards is 696751671903625299731
- The number of decimal digits it has is: 21
- The sum of 137992526309176157696's digits is 104
- More coming soon!
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The information we have on file for 137992526309176157696 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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