137678068842496
137,678,068,842,496 is an even composite number composed of seven prime numbers multiplied together.
137678068842496 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of one thousand and eighty-eight divisors.
Prime factorization of 137678068842496:
216 × 7 × 13 × 23 × 67 × 71 × 211
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 7 × 13 × 23 × 67 × 71 × 211)See below for interesting mathematical facts about the number 137678068842496 from the Numbermatics database.
Names of 137678068842496
- Cardinal: 137678068842496 can be written as One hundred thirty-seven trillion, six hundred seventy-eight billion, sixty-eight million, eight hundred forty-two thousand, four hundred ninety-six.
Scientific notation
- Scientific notation: 1.37678068842496 × 1014
Factors of 137678068842496
Divisors of 137678068842496
- Number of divisors d(n): 1088
-
Complete list of divisors:
1 2 4 7 8 13 14 16 23 26 28 32 46 52 56 64 67 71 91 92 104 112 128 134 142 161 182 184 208 211 224 256 268 284 299 322 364 368 416 422 448 469 497 512 536 568 598 644 728 736 832 844 871 896 923 938 994 1024 1072 1136 1196 1288 1456 1472 1477 1541 1633 1664 1688 1742 1792 1846 1876 1988 2048 2093 2144 2272 2392 2576 2743 2912 2944 2954 3082 3266 3328 3376 3484 3584 3692 3752 3976 4096 4186 4288 4544 4757 4784 4853 5152 5486 5824 5888 5908 6097 6164 6461 6532 6656 6752 6968 7168 7384 7504 7952 8192 8372 8576 9088 9514 9568 9706 10304 10787 10972 11431 11648 11776 11816 12194 12328 12922 13064 13312 13504 13936 14137 14336 14768 14981 15008 15904 16384 16744 17152 18176 19028 19136 19201 19412 20033 20608 21229 21574 21944 22862 23296 23552 23632 24388 24656 25844 26128 26624 27008 27872 28274 28672 29536 29962 30016 31808 32768 33299 33488 33971 34304 36352 38056 38272 38402 38824 40066 41216 42458 43148 43888 45724 46592 47104 47264 48776 49312 51688 52256 53248 54016 55744 56548 57344 59072 59924 60032 61841 63089 63616 65536 66598 66976 67942 68608 72704 76112 76544 76804 77648 80132 82432 84916 86296 87776 91448 93184 94208 94528 97552 98624 98959 103376 104512 104867 106496 108032 109411 111488 113096 114688 118144 119848 120064 123682 126178 127232 133196 133952 135884 137216 140231 145408 148603 152224 153088 153608 155296 160264 164864 169832 172592 175552 182896 183781 186368 188416 189056 194753 195104 197248 197918 206752 209024 209734 212992 216064 218822 222976 226192 229376 236288 239696 240128 247364 252356 254464 266392 267904 271768 274432 280462 290816 297206 304448 306176 307216 310592 320528 325151 329728 339664 344563 345184 351104 365792 367562 372736 376832 378112 389506 390208 394496 395836 413504 418048 419468 425984 432128 432887 437644 441623 445952 452384 458752 472576 479392 480256 494728 504712 508928 532784 535808 543536 548864 560924 581632 594412 608896 612352 614432 621184 641056 650302 659456 679328 689126 690368 702208 731584 735124 745472 753664 756224 765877 779012 780416 788992 791672 827008 836096 838936 851968 864256 865774 875288 883246 891904 904768 945152 958784 960512 989456 1003727 1009424 1017856 1065568 1071616 1087072 1097728 1121848 1163264 1188824 1217792 1224704 1228864 1242368 1282112 1286467 1300604 1318912 1358656 1363271 1378252 1380736 1404416 1422343 1463168 1470248 1490944 1507328 1512448 1531754 1558024 1560832 1577984 1583344 1654016 1672192 1677872 1728512 1731548 1750576 1766492 1783808 1809536 1890304 1917568 1921024 1978912 2007454 2018848 2035712 2131136 2143232 2174144 2195456 2243696 2276057 2326528 2377648 2411941 2435584 2449408 2457728 2484736 2564224 2572934 2601208 2637824 2717312 2726542 2756504 2761472 2808832 2844686 2926336 2940496 2981888 3024896 3063508 3116048 3121664 3155968 3166688 3308032 3344384 3355744 3457024 3463096 3501152 3532984 3567616 3619072 3780608 3835136 3842048 3957824 4014908 4037696 4071424 4226963 4262272 4286464 4348288 4390912 4479319 4487392 4552114 4653056 4755296 4823882 4871168 4898816 4915456 4969472 5128448 5145868 5202416 5275648 5434624 5453084 5513008 5522944 5617664 5689372 5852672 5880992 5963776 6049792 6127016 6232096 6243328 6311936 6333376 6616064 6688768 6711488 6914048 6926192 7002304 7026089 7065968 7135232 7238144 7561216 7670272 7684096 7915648 8029816 8075392 8142848 8453926 8524544 8572928 8696576 8958638 8974784 9104228 9510592 9647764 9742336 9797632 9830912 9938944 9956401 10256896 10291736 10404832 10551296 10869248 10906168 11026016 11045888 11235328 11378744 11705344 11761984 12099584 12254032 12464192 12486656 12623872 12666752 13048451 13232128 13377536 13422976 13828096 13852384 14004608 14052178 14131936 14270464 14476288 15122432 15340544 15368192 15831296 16059632 16150784 16285696 16907852 17049088 17145856 17393152 17917276 17949568 18208456 19021184 19295528 19484672 19595264 19661824 19877888 19912802 20513792 20583472 20809664 21738496 21812336 22052032 22091776 22470656 22757488 23085721 23410688 23523968 24199168 24508064 24928384 24973312 25247744 25333504 26096902 26464256 26755072 26845952 27704768 28009216 28104356 28263872 28540928 28952576 29588741 30244864 30681088 30736384 31355233 31662592 32119264 32301568 32571392 33815704 34098176 34291712 34786304 35834552 35899136 36416912 38042368 38591056 38969344 39323648 39755776 39825604 41027584 41166944 41619328 43476992 43624672 44104064 44183552 44941312 45514976 46171442 46821376 47047936 48398336 49016128 49856768 49946624 50495488 50667008 52193804 52928512 53510144 53691904 55409536 56018432 56208712 56527744 57081856 57905152 59177482 60489728 61362176 62710466 63325184 64238528 64603136 67631408 68196352 68583424 69572608 71669104 71798272 72833824 76084736 77182112 77938688 78647296 79511552 79651208 82055168 82333888 83238656 86953984 87249344 88208128 88367104 89882624 91029952 91339157 92342884 93642752 94095872 96796672 98032256 99713536 99893248 100990976 101334016 104387608 105857024 107020288 107383808 110819072 112036864 112417424 113055488 115810304 118354964 122724352 125420932 126650368 128477056 129206272 135262816 136392704 137166848 139145216 143338208 143596544 145667648 152169472 154364224 155877376 157294592 159023104 159302416 161600047 164110336 164667776 166477312 173907968 174498688 176416256 176734208 179765248 182059904 182678314 184685768 187285504 188191744 196064512 199427072 199786496 202668032 208775216 211714048 214767616 221638144 224073728 224834848 226110976 231620608 236709928 245448704 250841864 253300736 256954112 258412544 270525632 272785408 278290432 286676416 287193088 291335296 300114373 304338944 308728448 311754752 314589184 318046208 318604832 323200094 328220672 329335552 332954624 347815936 348997376 352832512 353468416 364119808 365356628 369371536 374571008 376383488 392129024 398854144 399572992 405336064 417550432 423428096 429535232 443276288 448147456 449669696 452221952 463241216 473419856 490897408 501683728 506601472 513908224 516825088 541051264 545570816 556580864 573352832 574386176 582670592 600228746 608677888 617456896 629178368 637209664 646400188 656441344 658671104 665909248 695631872 697994752 705665024 706936832 728239616 730713256 738743072 749142016 752766976 784258048 797708288 810672128 835100864 859070464 886552576 896294912 899339392 904443904 926482432 946839712 981794816 1003367456 1013202944 1027816448 1033650176 1082102528 1091141632 1113161728 1146705664 1148772352 1165341184 1200457492 1217355776 1234913792 1258356736 1274419328 1292800376 1312882688 1317342208 1331818496 1391263744 1395989504 1411330048 1456479232 1461426512 1477486144 1505533952 1568516096 1595416576 1621344256 1670201728 1718140928 1773105152 1792589824 1798678784 1808887808 1893679424 2006734912 2026405888 2055632896 2067300352 2100800611 2164205056 2182283264 2226323456 2293411328 2297544704 2330682368 2400914984 2434711552 2469827584 2548838656 2585600752 2634684416 2663636992 2791979008 2822660096 2912958464 2922853024 2954972288 3011067904 3137032192 3190833152 3242688512 3340403456 3436281856 3546210304 3585179648 3597357568 3617775616 3787358848 4013469824 4052811776 4111265792 4134600704 4201601222 4328410112 4586822656 4595089408 4661364736 4801829968 4869423104 4939655168 5097677312 5171201504 5269368832 5327273984 5583958016 5645320192 5825916928 5845706048 5909944576 6022135808 6274064384 6381666304 6485377024 6680806912 6872563712 7092420608 7170359296 7194715136 7235551232 7574717696 8026939648 8222531584 8403202444 8656820224 9173645312 9190178816 9322729472 9603659936 9738846208 9879310336 10195354624 10342403008 10538737664 10654547968 11167916032 11290640384 11651833856 11691412096 11819889152 12044271616 12548128768 12763332608 13361613824 14184841216 14389430272 14471102464 15149435392 16053879296 16445063168 16806404888 17313640448 18347290624 18645458944 19207319872 19758620672 20390709248 20684806016 21077475328 21309095936 22335832064 22581280768 23303667712 23382824192 23639778304 25096257536 26723227648 28369682432 28778860544 28942204928 30298870784 32107758592 32890126336 33612809776 34627280896 36694581248 37290917888 38414639744 39517241344 40781418496 41369612032 42154950656 44671664128 46607335424 46765648384 47279556608 50192515072 53446455296 57557721088 60597741568 64215517184 65780252672 67225619552 69254561792 73389162496 74581835776 76829279488 79034482688 81562836992 82739224064 84309901312 89343328256 93214670848 93531296768 94559113216 106892910592 115115442176 121195483136 128431034368 134451239104 138509123584 146778324992 149163671552 153658558976 158068965376 163125673984 165478448128 187062593536 189118226432 213785821184 230230884352 242390966272 256862068736 268902478208 277018247168 293556649984 307317117952 326251347968 330956896256 374125187072 378236452864 427571642368 460461768704 484781932544 513724137472 537804956416 614634235904 652502695936 661913792512 748250374144 756472905728 855143284736 969563865088 1027448274944 1075609912832 1229268471808 1323827585024 1496500748288 1512945811456 1939127730176 2054896549888 2151219825664 2458536943616 2647655170048 2993001496576 4302439651328 4917073887232 5295310340096 5986002993152 8604879302656 9834147774464 10590620680192 17209758605312 19668295548928 34419517210624 68839034421248 137678068842496
- Sum of all divisors σ(n): 365690052919296
- Sum of proper divisors (its aliquot sum) s(n): 228011984076800
- 137678068842496 is an abundant number, because the sum of its proper divisors (228011984076800) is greater than itself. Its abundance is 90333915234304
Bases of 137678068842496
- Binary: 111110100110111101011000110001100000000000000002
- Hexadecimal: 0x7D37AC630000
- Base-36: 1CSWFJG2KG
Squares and roots of 137678068842496
- 137678068842496 squared (1376780688424962) is 18955250640199067865255510016
- 137678068842496 cubed (1376780688424963) is 2609722302568093642454416825563835254439936
-
The
square root of 137678068842496 is 11733629.8238224645 -
The
cube root of 137678068842496 is 51636.2770009233
Scales and comparisons
How big is 137678068842496?- 137,678,068,842,496 seconds is equal to 4,377,736 years, 37 weeks, 4 days, 3 hours, 48 minutes, 16 seconds.
-
To count from 1 to 137,678,068,842,496 would take you about ten million, nine hundred forty-four thousand, three hundred forty-one 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 137678068842496 cubic inches would be around 4303 feet tall.
Recreational maths with 137678068842496
- 137678068842496 backwards is 694248860876731
- The number of decimal digits it has is: 15
- The sum of 137678068842496's digits is 79
- More coming soon!
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The information we have on file for 137678068842496 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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