137416782474843734016
137,416,782,474,843,734,016 is an even composite number composed of six prime numbers multiplied together.
137416782474843734016 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of one thousand, four hundred forty divisors.
Prime factorization of 137416782474843734016:
214 × 33 × 7 × 11 × 19 × 4607932
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 11 × 19 × 460793 × 460793)See below for interesting mathematical facts about the number 137416782474843734016 from the Numbermatics database.
Names of 137416782474843734016
- Cardinal: 137416782474843734016 can be written as One hundred thirty-seven quintillion, four hundred sixteen quadrillion, seven hundred eighty-two trillion, four hundred seventy-four billion, eight hundred forty-three million, seven hundred thirty-four thousand and sixteen.
Scientific notation
- Scientific notation: 1.37416782474843734016 × 1020
Factors of 137416782474843734016
Divisors of 137416782474843734016
- Number of divisors d(n): 1440
-
Complete list of divisors:
1 2 3 4 6 7 8 9 11 12 14 16 18 19 21 22 24 27 28 32 33 36 38 42 44 48 54 56 57 63 64 66 72 76 77 84 88 96 99 108 112 114 126 128 132 133 144 152 154 168 171 176 189 192 198 209 216 224 228 231 252 256 264 266 288 297 304 308 336 342 352 378 384 396 399 418 432 448 456 462 504 512 513 528 532 576 594 608 616 627 672 684 693 704 756 768 792 798 836 864 896 912 924 1008 1024 1026 1056 1064 1152 1188 1197 1216 1232 1254 1344 1368 1386 1408 1463 1512 1536 1584 1596 1672 1728 1792 1824 1848 1881 2016 2048 2052 2079 2112 2128 2304 2376 2394 2432 2464 2508 2688 2736 2772 2816 2926 3024 3072 3168 3192 3344 3456 3584 3591 3648 3696 3762 4032 4096 4104 4158 4224 4256 4389 4608 4752 4788 4864 4928 5016 5376 5472 5544 5632 5643 5852 6048 6144 6336 6384 6688 6912 7168 7182 7296 7392 7524 8064 8192 8208 8316 8448 8512 8778 9216 9504 9576 9728 9856 10032 10752 10944 11088 11264 11286 11704 12096 12288 12672 12768 13167 13376 13824 14336 14364 14592 14784 15048 16128 16384 16416 16632 16896 17024 17556 18432 19008 19152 19456 19712 20064 21504 21888 22176 22528 22572 23408 24192 24576 25344 25536 26334 26752 27648 28672 28728 29184 29568 30096 32256 32832 33264 33792 34048 35112 36864 38016 38304 38912 39424 39501 40128 43008 43776 44352 45056 45144 46816 48384 49152 50688 51072 52668 53504 55296 57344 57456 58368 59136 60192 64512 65664 66528 67584 68096 70224 73728 76032 76608 77824 78848 79002 80256 86016 87552 88704 90112 90288 93632 96768 101376 102144 105336 107008 110592 114688 114912 116736 118272 120384 129024 131328 133056 135168 136192 140448 147456 152064 153216 155648 157696 158004 160512 172032 175104 177408 180224 180576 187264 193536 202752 204288 210672 214016 221184 229824 233472 236544 240768 258048 262656 266112 270336 272384 280896 304128 306432 311296 315392 316008 321024 344064 350208 354816 361152 374528 387072 405504 408576 421344 428032 442368 459648 460793 466944 473088 481536 516096 525312 532224 540672 544768 561792 608256 612864 630784 632016 642048 700416 709632 722304 749056 774144 811008 817152 842688 856064 919296 921586 933888 946176 963072 1032192 1050624 1064448 1089536 1123584 1216512 1225728 1261568 1264032 1284096 1382379 1400832 1419264 1444608 1498112 1548288 1622016 1634304 1685376 1712128 1838592 1843172 1892352 1926144 2101248 2128896 2179072 2247168 2433024 2451456 2528064 2568192 2764758 2801664 2838528 2889216 2996224 3096576 3225551 3268608 3370752 3424256 3677184 3686344 3784704 3852288 4147137 4202496 4257792 4494336 4866048 4902912 5056128 5068723 5136384 5529516 5677056 5778432 5992448 6451102 6537216 6741504 7354368 7372688 7704576 8294274 8404992 8515584 8755067 8988672 9676653 9805824 10112256 10137446 10272768 11059032 11354112 11556864 11984896 12441411 12902204 13483008 14708736 14745376 15206169 15409152 16588548 17031168 17510134 17977344 19353306 19611648 20224512 20274892 22118064 23113728 23969792 24882822 25804408 26265201 26966016 29029959 29417472 29490752 30412338 30818304 33177096 34062336 35020268 35481061 35954688 38706612 40449024 40549784 44236128 45618507 46227456 49765644 51608816 52530402 53932032 58059918 58834944 58981504 60824676 61285469 66354192 70040536 70962122 71909376 77413224 78795603 80898048 81099568 87089877 88472256 91237014 92454912 96305737 99531288 103217632 105060804 106443183 107864064 116119836 117963008 121649352 122570938 132708384 136855521 140081072 141924244 154826448 157591206 161796096 162199136 174179754 176944512 182474028 183856407 192611474 199062576 206435264 210121608 212886366 215728128 232239672 235926016 236386809 243298704 245141876 265416768 273711042 280162144 283848488 288917211 309652896 315182412 319329549 323592192 324398272 348359508 353889024 364948056 367712814 385222948 398125152 412870528 420243216 425772732 464479344 471852032 472773618 486597408 490283752 530833536 547422084 551569221 560324288 567696976 577834422 619305792 630364824 638659098 647184384 648796544 674140159 696719016 707778048 729896112 735425628 770445896 796250304 825741056 840486432 851545464 866751633 928958688 943704064 945547236 957988647 973194816 980567504 1061667072 1094844168 1103138442 1120648576 1135393952 1155668844 1238611584 1260729648 1277318196 1297593088 1348280318 1393438032 1415556096 1459792224 1470851256 1540891792 1592500608 1651482112 1654707663 1680972864 1703090928 1733503266 1857917376 1887408128 1891094472 1915977294 1946389632 1961135008 2022420477 2123334144 2189688336 2206276884 2241297152 2270787904 2311337688 2477223168 2521459296 2554636392 2595186176 2600254899 2696560636 2786876064 2831112192 2919584448 2941702512 3081783584 3185001216 3302964224 3309415326 3361945728 3406181856 3467006532 3715834752 3774816256 3782188944 3831954588 3892779264 3922270016 4044840954 4246668288 4379376672 4412553768 4482594304 4541575808 4622675376 4954446336 5042918592 5109272784 5190372352 5200509798 5393121272 5573752128 5662224384 5839168896 5883405024 6067261431 6163567168 6370002432 6605928448 6618830652 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14350123483170816 14458836539861504 14910675181732176 15654680163459072 16143888918567168 16266191107344192 16524384616984576 16741810730365952 16774509579448698 17040771636265344 18263793524035584 18589932694107648 18834537071661696 19133497977561088 19170868090798512 19880900242309568 20546767714540032 21525185224756224 21688254809792256 22366012772598264 22721028848353792 23482020245188608 24351724698714112 24399286661016288 24786576925476864 25112716095548928 25561157454398016 27395690286053376 27884899041161472 28251805607492544 28700246966341632 28917673079723008 29821350363464352 31309360326918144 32287777837134336 32532382214688384 33048769233969152 33483621460731904 33549019158897396 34081543272530688 36527587048071168 37179865388215296 37669074143323392 38266995955122176 38341736181597024 39761800484619136 41093535429080064 43050370449512448 43376509619584512 44732025545196528 45442057696707584 46964040490377216 48798573322032576 49573153850953728 50225432191097856 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226014444859940352 231341384637784064 238570802907714816 258302222697074688 260259057717507072 267868971685855232 268392153271179168 272652346180245504 297438923105722368 301352593146587136 306733889452776192 318094403876953088 328748283432640512 344402963596099584 347012076956676096 357856204361572224 363536461573660672 390388586576260608 401803457528782848 408978519270368256 446158384658583552 452028889719880704 462682769275568128 477141605815429632 516604445394149376 520518115435014144 536784306542358336 545304692360491008 594877846211444736 602705186293174272 613467778905552384 636188807753906176 657496566865281024 694024153913352192 715712408723144448 727072923147321344 780777173152521216 803606915057565696 817957038540736512 892316769317167104 904057779439761408 954283211630859264 1033208890788298752 1041036230870028288 1073568613084716672 1090609384720982016 1205410372586348544 1226935557811104768 1272377615507812352 1388048307826704384 1431424817446288896 1561554346305042432 1635914077081473024 1784633538634334208 1808115558879522816 1908566423261718528 2082072461740056576 2147137226169433344 2181218769441964032 2410820745172697088 2453871115622209536 2544755231015624704 2862849634892577792 3123108692610084864 3271828154162946048 3616231117759045632 3817132846523437056 4164144923480113152 4294274452338866688 4907742231244419072 5089510462031249408 5725699269785155584 6246217385220169728 6543656308325892096 7232462235518091264 7634265693046874112 8588548904677733376 9815484462488838144 11451398539570311168 12492434770440339456 15268531386093748224 17177097809355466752 19630968924977676288 22902797079140622336 34354195618710933504 45805594158281244672 68708391237421867008 137416782474843734016
- Sum of all divisors σ(n): 534331268878247500800
- Sum of proper divisors (its aliquot sum) s(n): 396914486403403766784
- 137416782474843734016 is an abundant number, because the sum of its proper divisors (396914486403403766784) is greater than itself. Its abundance is 259497703928560032768
Bases of 137416782474843734016
- Binary: 11101110011000010100111101110011000011101100010111101000000000000002
- Hexadecimal: 0x7730A7B98762F4000
- Base-36: T010NXFEJSAO0
Squares and roots of 137416782474843734016
- 137416782474843734016 squared (1374167824748437340162) is 18883372105738519988161884758257755488256
- 137416782474843734016 cubed (1374167824748437340163) is 2594892237045802071718339911038870160638368418826596275716096
-
The
square root of 137416782474843734016 is 11722490455.3104130057 -
The
cube root of 137416782474843734016 is 5160359.1090092213
Scales and comparisons
How big is 137416782474843734016?- 137,416,782,474,843,734,016 seconds is equal to 293,274,701,009 years, 3 weeks, 3 days, 15 hours, 30 minutes, 7 seconds.
-
To count from 1 to 137,416,782,474,843,734,016 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 137416782474843734016 cubic inches would be around 430029.9 feet tall.
Recreational maths with 137416782474843734016
- 137416782474843734016 backwards is 610437348474287614731
- The number of decimal digits it has is: 21
- The sum of 137416782474843734016's digits is 90
- More coming soon!
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"Number 137416782474843734016 - Facts about the integer". Numbermatics.com. 2024. Web. 3 June 2024.
APA style:
Numbermatics. (2024). Number 137416782474843734016 - Facts about the integer. Retrieved 3 June 2024, from https://numbermatics.com/n/137416782474843734016/
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Numbermatics. 2024. "Number 137416782474843734016 - Facts about the integer". https://numbermatics.com/n/137416782474843734016/
The information we have on file for 137416782474843734016 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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