137348496164086122240
137,348,496,164,086,122,240 is an even composite number composed of six prime numbers multiplied together.
What does the number 137348496164086122240 look like?
This visualization shows the relationship between its 6 prime factors (large circles) and 1944 divisors.
137348496164086122240 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, nine hundred forty-four divisors.
Prime factorization of 137348496164086122240:
28 × 38 × 5 × 13 × 31 × 2014512
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 5 × 13 × 31 × 201451 × 201451)See below for interesting mathematical facts about the number 137348496164086122240 from the Numbermatics database.
Names of 137348496164086122240
- Cardinal: 137348496164086122240 can be written as One hundred thirty-seven quintillion, three hundred forty-eight quadrillion, four hundred ninety-six trillion, one hundred sixty-four billion, eighty-six million, one hundred twenty-two thousand, two hundred forty.
Scientific notation
- Scientific notation: 1.3734849616408612224 × 1020
Factors of 137348496164086122240
Divisors of 137348496164086122240
- Number of divisors d(n): 1944
-
Complete list of divisors:
1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 31 32 36 39 40 45 48 52 54 60 62 64 65 72 78 80 81 90 93 96 104 108 117 120 124 128 130 135 144 155 156 160 162 180 186 192 195 208 216 234 240 243 248 256 260 270 279 288 310 312 320 324 351 360 372 384 390 403 405 416 432 465 468 480 486 496 520 540 558 576 585 620 624 640 648 702 720 729 744 768 780 806 810 832 837 864 930 936 960 972 992 1040 1053 1080 1116 1152 1170 1209 1215 1240 1248 1280 1296 1395 1404 1440 1458 1488 1560 1612 1620 1664 1674 1728 1755 1860 1872 1920 1944 1984 2015 2080 2106 2160 2187 2232 2304 2340 2418 2430 2480 2496 2511 2592 2790 2808 2880 2916 2976 3120 3159 3224 3240 3328 3348 3456 3510 3627 3645 3720 3744 3840 3888 3968 4030 4160 4185 4212 4320 4374 4464 4680 4836 4860 4960 4992 5022 5184 5265 5580 5616 5760 5832 5952 6045 6240 6318 6448 6480 6561 6696 6912 7020 7254 7290 7440 7488 7533 7776 7936 8060 8320 8370 8424 8640 8748 8928 9360 9477 9672 9720 9920 9984 10044 10368 10530 10881 10935 11160 11232 11520 11664 11904 12090 12480 12555 12636 12896 12960 13122 13392 14040 14508 14580 14880 14976 15066 15552 15795 16120 16640 16740 16848 17280 17496 17856 18135 18720 18954 19344 19440 19840 20088 20736 21060 21762 21870 22320 22464 22599 23328 23808 24180 24960 25110 25272 25792 25920 26244 26784 28080 28431 29016 29160 29760 29952 30132 31104 31590 32240 32643 32805 33480 33696 34560 34992 35712 36270 37440 37665 37908 38688 38880 39680 40176 42120 43524 43740 44640 44928 45198 46656 47385 48360 49920 50220 50544 51584 51840 52488 53568 54405 56160 56862 58032 58320 59520 60264 62208 63180 64480 65286 65610 66960 67392 67797 69984 71424 72540 74880 75330 75816 77376 77760 80352 84240 85293 87048 87480 89280 89856 90396 93312 94770 96720 97929 100440 101088 103168 103680 104976 107136 108810 112320 112995 113724 116064 116640 119040 120528 126360 128960 130572 131220 133920 134784 135594 139968 142155 145080 149760 150660 151632 154752 155520 160704 163215 168480 170586 174096 174960 178560 180792 186624 189540 193440 195858 200880 201451 202176 203391 209952 214272 217620 224640 225990 227448 232128 233280 241056 252720 257920 261144 262440 267840 269568 271188 279936 284310 290160 293787 301320 303264 309504 311040 321408 326430 336960 338985 341172 348192 349920 357120 361584 379080 386880 391716 401760 402902 404352 406782 419904 426465 435240 449280 451980 454896 464256 466560 482112 489645 505440 515840 522288 524880 535680 542376 559872 568620 580320 587574 602640 604353 606528 642816 652860 673920 677970 682344 696384 699840 723168 758160 773760 783432 803520 805804 808704 813564 839808 852930 870480 881361 903960 909792 928512 933120 964224 979290 1007255 1010880 1016955 1044576 1049760 1071360 1084752 1137240 1160640 1175148 1205280 1208706 1213056 1305720 1347840 1355940 1364688 1392768 1399680 1446336 1468935 1516320 1547520 1566864 1607040 1611608 1627128 1679616 1705860 1740960 1762722 1807920 1813059 1819584 1928448 1958580 2014510 2021760 2033910 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24456641054858640 24614425835857728 26087083791849216 26494694476096860 27349362039841920 27513721186715970 27691229065339944 28261007441169984 28401260579835840 29347969265830368 30768032294822160 31401119379077760 31793633371316232 32608854739811520 32819234447810304 33016465424059164 34081512695803008 34614036331674930 35326259301462480 35767837542730761 36684961582287960 36921638753786592 37681343254893312 37868347439781120 39130625687773824 39742041714145290 41024043059762880 41270581780073955 42391511161754976 42601890869753760 43478472986415360 44021953898745552 46152048442233240 47101679068616640 47690450056974348 48913282109717280 49228851671715456 52989388952193720 54698724079683840 55027442373431940 55382458130679888 56522014882339968 56802521159671680 58695938531660736 59613062571217935 61536064589644320 62802238758155520 63587266742632464 65217709479623040 66032930848118328 68163025391606016 69228072663349860 70652518602924960 71535675085461522 73369923164575920 73843277507573184 78261251375547648 79484083428290580 82048086119525760 82541163560147910 84783022323509952 85203781739507520 88043907797491104 92304096884466480 94203358137233280 95380900113948696 97826564219434560 98457703343430912 105978777904387440 107303512628192283 110054884746863880 110764916261359776 113044029764679936 113605042319343360 117391877063321472 119226125142435870 123072129179288640 127174533485264928 130435418959246080 132065861696236656 138456145326699720 141305037205849920 143071350170923044 146739846329151840 147686555015146368 158968166856581160 164096172239051520 165082327120295820 169566044647019904 170407563479015040 176087815594982208 178839187713653805 184608193768932960 188406716274466560 190761800227897392 195653128438869120 211957555808774880 214607025256384566 220109769493727760 221529832522719552 234783754126642944 238452250284871740 246144258358577280 254349066970529856 264131723392473312 276912290653399440 282610074411699840 286142700341846088 293479692658303680 295373110030292736 317936333713162320 330164654240591640 339132089294039808 340815126958030080 352175631189964416 357678375427307610 369216387537865920 381523600455794784 391306256877738240 423915111617549760 429214050512769132 440219538987455520 443059665045439104 476904500569743480 492288516717154560 508698133941059712 528263446784946624 536517563140961415 553824581306798880 565220148823399680 572285400683692176 586959385316607360 635872667426324640 660329308481183280 704351262379928832 715356750854615220 738432775075731840 763047200911589568 847830223235099520 858428101025538264 880439077974911040 886119330090878208 953809001139486960 1017396267882119424 1056526893569893248 1073035126281922830 1107649162613597760 1144570801367384352 1173918770633214720 1271745334852649280 1320658616962366560 1430713501709230440 1476865550151463680 1526094401823179136 1695660446470199040 1716856202051076528 1760878155949822080 1907618002278973920 2113053787139786496 2146070252563845660 2215298325227195520 2289141602734768704 2543490669705298560 2641317233924733120 2861427003418460880 3052188803646358272 3433712404102153056 3521756311899644160 3815236004557947840 4292140505127691320 4430596650454391040 4578283205469537408 5086981339410597120 5282634467849466240 5722854006836921760 6867424808204306112 7630472009115895680 8584281010255382640 9156566410939074816 10565268935698932480 11445708013673843520 13734849616408612224 15260944018231791360 17168562020510765280 22891416027347687040 27469699232817224448 34337124041021530560 45782832054695374080 68674248082043061120 137348496164086122240
- Sum of all divisors σ(n): 548567920776235860864
- Sum of proper divisors (its aliquot sum) s(n): 411219424612149738624
- 137348496164086122240 is an abundant number, because the sum of its proper divisors (411219424612149738624) is greater than itself. Its abundance is 273870928448063616384
Bases of 137348496164086122240
- Binary: 11101110010000101111110000110001110110001100111010010000111000000002
- Hexadecimal: 0x77217E18EC6748700
- Base-36: SZICAG9BB0000
Squares and roots of 137348496164086122240
- 137348496164086122240 squared (1373484961640861222402) is 18864609398535980235196557591760222617600
- 137348496164086122240 cubed (1373484961640861222403) is 2591025731611802090968001179516334868581311034801126375424000
-
The
square root of 137348496164086122240 is 11719577473.7865922025 -
The
cube root of 137348496164086122240 is 5159504.1909391945
Scales and comparisons
How big is 137348496164086122240?- 137,348,496,164,086,122,240 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,348,496,164,086,122,240 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 137348496164086122240 cubic inches would be around 429958.7 feet tall.
Recreational maths with 137348496164086122240
- 137348496164086122240 backwards is 042221680461694843731
- 137348496164086122240 is a
Harshad number . - The number of decimal digits it has is: 21
- The sum of 137348496164086122240's digits is 81
- More coming soon!
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"Number 137348496164086122240 - Facts about the integer". Numbermatics.com. 2024. Web. 5 June 2024.
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Numbermatics. (2024). Number 137348496164086122240 - Facts about the integer. Retrieved 5 June 2024, from https://numbermatics.com/n/137348496164086122240/
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The information we have on file for 137348496164086122240 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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