137306977917506681984
137,306,977,917,506,681,984 is an even composite number composed of four prime numbers multiplied together.
What does the number 137306977917506681984 look like?
This visualization shows the relationship between its 4 prime factors (large circles) and 384 divisors.
137306977917506681984 is an even composite number. It is composed of four distinct prime numbers multiplied together. It has a total of three hundred eighty-four divisors.
Prime factorization of 137306977917506681984:
27 × 73 × 1513 × 301392
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 7 × 7 × 151 × 151 × 151 × 30139 × 30139)See below for interesting mathematical facts about the number 137306977917506681984 from the Numbermatics database.
Names of 137306977917506681984
- Cardinal: 137306977917506681984 can be written as One hundred thirty-seven quintillion, three hundred six quadrillion, nine hundred seventy-seven trillion, nine hundred seventeen billion, five hundred six million, six hundred eighty-one thousand, nine hundred eighty-four.
Scientific notation
- Scientific notation: 1.37306977917506681984 × 1020
Factors of 137306977917506681984
Divisors of 137306977917506681984
- Number of divisors d(n): 384
-
Complete list of divisors:
1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 151 196 224 302 343 392 448 604 686 784 896 1057 1208 1372 1568 2114 2416 2744 3136 4228 4832 5488 6272 7399 8456 9664 10976 14798 16912 19328 21952 22801 29596 30139 33824 43904 45602 51793 59192 60278 67648 91204 103586 118384 120556 135296 159607 182408 207172 210973 236768 241112 319214 364816 414344 421946 473536 482224 638428 729632 828688 843892 947072 964448 1117249 1276856 1459264 1476811 1657376 1687784 1928896 2234498 2553712 2918528 2953622 3314752 3375568 3442951 3857792 4468996 4550989 5107424 5907244 6629504 6751136 6885902 7820743 8937992 9101978 10214848 10337677 11814488 13502272 13771804 15641486 17875984 18203956 20429696 20675354 23628976 24100657 27004544 27543608 31282972 31856923 35751968 36407912 41350708 47257952 48201314 55087216 62565944 63713846 71503936 72815824 82701416 94515904 96402628 110174432 125131888 127427692 143007872 145631648 165402832 168704599 189031808 192805256 220348864 222998461 250263776 254855384 291263296 330805664 337409198 385610512 440697728 445996922 500527552 509710768 582526592 661611328 674818396 687199339 771221024 891993844 908359321 1001055104 1019421536 1180932193 1323222656 1349636792 1374398678 1542442048 1560989227 1783987688 1816718642 2038843072 2361864386 2699273584 2748797356 3084884096 3121978454 3567975376 3633437284 4077686144 4723728772 4810395373 5398547168 5497594712 6243956908 6358515247 7135950752 7266874568 9447457544 9620790746 10797094336 10995189424 12487913816 12717030494 14271901504 14533749136 18894915088 19241581492 21594188672 21990378848 24975827632 25434060988 28543803008 29067498272 33672767611 37789830176 38483162984 43980757696 44509606729 49951655264 50868121976 58134996544 67345535222 75579660352 76966325968 87961515392 89019213458 99903310528 101736243952 103767100189 116269993088 134691070444 137162257471 151159320704 153932651936 178038426916 199806621056 203472487904 207534200378 235709373277 269382140888 274324514942 307865303872 311567247103 356076853832 406944975808 415068400756 471418746554 538764281776 548649029884 615730607744 623134494206 712153707664 726369701323 813889951616 830136801512 942837493108 960135802297 1077528563552 1097298059768 1246268988412 1424307415328 1452739402646 1660273603024 1885674986216 1920271604594 2155057127104 2194596119536 2492537976824 2848614830656 2905478805292 3320547206048 3771349972432 3840543209188 4310114254208 4389192239072 4985075953648 5084587909261 5697229661312 5810957610584 6641094412096 6720950616079 7542699944864 7681086418376 8778384478144 9970151907296 10169175818522 11621915221168 13282188824192 13441901232158 15085399889728 15362172836752 17556768956288 19940303814592 20338351637044 20711500878121 23243830442336 26883802464316 30170799779456 30724345673504 35592115364827 39880607629184 40676703274088 41423001756242 46487660884672 47046654312553 53767604928632 61448691347008 71184230729654 81353406548176 82846003512484 92975321769344 94093308625106 107535209857264 122897382694016 142368461459308 144980506146847 162706813096352 165692007024968 188186617250212 215070419714528 284736922918616 289961012293694 325413626192704 331384014049936 376373234500424 430140839429056 569473845837232 579922024587388 650827252385408 662768028099872 752746469000848 860281678858112 1014863543027929 1138947691674464 1159844049174776 1325536056199744 1505492938001696 2029727086055858 2277895383348928 2319688098349552 2651072112399488 3010985876003392 3127436632596271 4059454172111716 4555790766697856 4639376196699104 6021971752006784 6254873265192542 7104044801195503 8118908344223432 9278752393398208 12509746530385084 14208089602391006 16237816688446864 18557504786796416 21892056428173897 25019493060770168 28416179204782012 32475633376893728 43784112856347794 50038986121540336 56832358409564024 64951266753787456 87568225712695588 100077972243080672 113664716819128048 129902533507574912 153244394997217279 175136451425391176 200155944486161344 227329433638256096 306488789994434558 350272902850782352 400311888972322688 454658867276512192 612977579988869116 700545805701564704 909317734553024384 1072710764980520953 1225955159977738232 1401091611403129408 2145421529961041906 2451910319955476464 2802183222806258816 4290843059922083812 4903820639910952928 8581686119844167624 9807641279821905856 17163372239688335248 19615282559643811712 34326744479376670496 68653488958753340992 137306977917506681984
- Sum of all divisors σ(n): 321135847976649888000
- Sum of proper divisors (its aliquot sum) s(n): 183828870059143206016
- 137306977917506681984 is an abundant number, because the sum of its proper divisors (183828870059143206016) is greater than itself. Its abundance is 46521892141636524032
Bases of 137306977917506681984
- Binary: 11101110001100001000110000011101110101100110110001111111100100000002
- Hexadecimal: 0x7718460EEB363FC80
- Base-36: SZ6ZHGM56YLQ8
Squares and roots of 137306977917506681984
- 137306977917506681984 squared (1373069779175066819842) is 18853206184838667602865316221288910176256
- 137306977917506681984 cubed (1373069779175066819843) is 2588676765295843332668826427142674597355969217784055179771904
-
The
square root of 137306977917506681984 is 11717806019.7934101995 -
The
cube root of 137306977917506681984 is 5158984.2601032135
Scales and comparisons
How big is 137306977917506681984?- 137,306,977,917,506,681,984 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,306,977,917,506,681,984 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 137306977917506681984 cubic inches would be around 429915.4 feet tall.
Recreational maths with 137306977917506681984
- 137306977917506681984 backwards is 489186605719779603731
- The number of decimal digits it has is: 21
- The sum of 137306977917506681984's digits is 107
- More coming soon!
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The information we have on file for 137306977917506681984 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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