137804571426816

Names of 137804571426816

• Cardinal: 137804571426816 can be written as One hundred thirty-seven trillion, eight hundred four billion, five hundred seventy-one million, four hundred twenty-six thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.37804571426816 × 10¹⁴

Factors of 137804571426816

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 965

Divisors of 137804571426816

• Number of divisors d(n): 720
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 64 72 84 96 98 108 112 126 128 144 147 168 189 192 196 216 224 252 256 288 294 336 343 378 384 392 432 441 448 504 512 576 588 672 686 756 768 784 864 882 896 953 1008 1024 1029 1152 1176 1323 1344 1372 1512 1536 1568 1728 1764 1792 1906 2016 2048 2058 2304 2352 2646 2688 2744 2859 3024 3072 3087 3136 3456 3528 3584 3812 4032 4096 4116 4608 4704 5292 5376 5488 5718 6048 6144 6174 6272 6671 6912 7056 7168 7624 8064 8192 8232 8577 9216 9261 9408 10584 10752 10976 11436 12096 12288 12348 12544 13342 13824 14112 14336 15248 16128 16384 16464 17154 18432 18522 18816 20013 21168 21504 21952 22872 24192 24576 24696 25088 25731 26684 27648 28224 28672 30496 32256 32928 34308 36864 37044 37632 40026 42336 43008 43904 45744 46697 48384 49152 49392 50176 51462 53368 55296 56448 57344 60039 60992 64512 65856 68616 73728 74088 75264 80052 84672 86016 87808 91488 93394 96768 98784 100352 102924 106736 110592 112896 114688 120078 121984 129024 131712 137232 140091 147456 148176 150528 160104 169344 172032 175616 180117 182976 186788 193536 197568 200704 205848 213472 221184 225792 240156 243968 258048 263424 274464 280182 296352 301056 320208 326879 338688 344064 351232 360234 365952 373576 387072 395136 401408 411696 420273 426944 442368 451584 480312 487936 516096 526848 548928 560364 592704 602112 640416 653758 677376 702464 720468 731904 747152 774144 790272 802816 823392 840546 853888 903168 908209 960624 975872 980637 1032192 1053696 1097856 1120728 1185408 1204224 1260819 1280832 1307516 1354752 1404928 1440936 1463808 1494304 1548288 1580544 1646784 1681092 1707776 1806336 1816418 1921248 1951744 1961274 2107392 2195712 2241456 2370816 2408448 2521638 2561664 2615032 2709504 2724627 2809856 2881872 2927616 2941911 2988608 3096576 3161088 3293568 3362184 3415552 3612672 3632836 3842496 3903488 3922548 4214784 4391424 4482912 4741632 5043276 5123328 5230064 5419008 5449254 5619712 5763744 5855232 5883822 5977216 6322176 6357463 6587136 6724368 6831104 7225344 7265672 7684992 7806976 7845096 8173881 8429568 8782848 8825733 8965824 9483264 10086552 10246656 10460128 10838016 10898508 11527488 11710464 11767644 11954432 12644352 12714926 13174272 13448736 13662208 14531344 15369984 15613952 15690192 16347762 16859136 17565696 17651466 17931648 18966528 19072389 20173104 20493312 20920256 21676032 21797016 23054976 23420928 23535288 23908864 24521643 25288704 25429852 26348544 26897472 27324416 29062688 30739968 31380384 32695524 35131392 35302932 35863296 37933056 38144778 40346208 40986624 41840512 43594032 44502241 46109952 46841856 47070576 47817728 49043286 50577408 50859704 52697088 53794944 54648832 57217167 58125376 61479936 62760768 65391048 70262784 70605864 71726592 75866112 76289556 80692416 81973248 83681024 87188064 89004482 92219904 94141152 95635456 98086572 101719408 105394176 107589888 109297664 114434334 116250752 122959872 125521536 130782096 133506723 140525568 141211728 143453184 151732224 152579112 161384832 163946496 167362048 171651501 174376128 178008964 184439808 188282304 191270912 196173144 203438816 210788352 215179776 228868668 232501504 245919744 251043072 261564192 267013446 282423456 286906368 305158224 311515687 322769664 327892992 334724096 343303002 348752256 356017928 368879616 376564608 382541824 392346288 400520169 406877632 421576704 430359552 457737336 465003008 491839488 502086144 523128384 534026892 564846912 573812736 610316448 623031374 645539328 669448192 686606004 697504512 712035856 737759232 753129216 765083648 784692576 801040338 813755264 860719104 915474672 930006016 934547061 983678976 1004172288 1046256768 1068053784 1129693824 1147625472 1201560507 1220632896 1246062748 1291078656 1338896384 1373212008 1395009024 1424071712 1475518464 1506258432 1569385152 1602080676 1627510528 1721438208 1830949344 1860012032 1869094122 2008344576 2092513536 2136107568 2259387648 2295250944 2403121014 2441265792 2492125496 2582157312 2677792768 2746424016 2790018048 2803641183 2848143424 2951036928 3012516864 3138770304 3204161352 3255021056 3442876416 3661898688 3720024064 3738188244 4016689152 4185027072 4272215136 4518775296 4806242028 4882531584 4984250992 5164314624 5355585536 5492848032 5580036096 5607282366 5696286848 6025033728 6277540608 6408322704 6510042112 6885752832 7323797376 7440048128 7476376488 8033378304 8370054144 8410923549 8544430272 9037550592 9612484056 9765063168 9968501984 10328629248 10985696064 11160072192 11214564732 11392573696 12050067456 12555081216 12816645408 13020084224 14647594752 14880096256 14952752976 16066756608 16740108288 16821847098 17088860544 18075101184 19224968112 19530126336 19937003968 20657258496 21971392128 22320144384 22429129464 22785147392 24100134912 25110162432 25633290816 26040168448 29295189504 29905505952 33480216576 33643694196 34177721088 36150202368 38449936224 39060252672 39874007936 43942784256 44640288768 44858258928 45570294784 48200269824 50220324864 51266581632 52080336896 58590379008 59811011904 66960433152 67287388392 68355442176 72300404736 76899872448 78120505344 79748015872 87885568512 89716517856 91140589568 100440649728 102533163264 104160673792 117180758016 119622023808 133920866304 134574776784 136710884352 144600809472 153799744896 156241010688 159496031744 175771137024 179433035712 182281179136 200881299456 205066326528 234361516032 239244047616 269149553568 273421768704 307599489792 312482021376 318992063488 351542274048 358866071424 364562358272 401762598912 410132653056 468723032064 478488095232 538299107136 546843537408 615198979584 637984126976 703084548096 717732142848 729124716544 820265306112 937446064128 956976190464 1076598214272 1093687074816 1230397959168 1275968253952 1406169096192 1435464285696 1640530612224 1913952380928 2153196428544 2187374149632 2460795918336 2551936507904 2812338192384 2870928571392 3281061224448 3827904761856 4306392857088 4921591836672 5103873015808 5741857142784 6562122448896 7655809523712 8612785714176 9843183673344 11483714285568 15311619047424 17225571428352 19686367346688 22967428571136 34451142856704 45934857142272 68902285713408 137804571426816
• Sum of all divisors σ(n): 476648704336000
• Sum of proper divisors (its aliquot sum) s(n): 338844132909184
• 137804571426816 is an abundant number, because the sum of its proper divisors (338844132909184) is greater than itself. Its abundance is 201039561482368

Bases of 137804571426816

• Binary: 11111010101010100100000100001110100000000000000₂
• Hexadecimal: 0x7D5520874000
• Base-36: 1CUIJNTHC0

Squares and roots of 137804571426816

• 137804571426816 squared (137804571426816²) is 18990099906128432734043897856
• 137804571426816 cubed (137804571426816³) is 2616922578916447425351389585027580083306496
• The square root of 137804571426816 is 11739019.1850433569
• The cube root of 137804571426816 is 51652.0871269819

Scales and comparisons

• 137,804,571,426,816 seconds is equal to 4,381,759 years, 5 weeks, 6 days, 10 hours, 33 minutes, 36 seconds.
• To count from 1 to 137,804,571,426,816 would take you about ten million, nine hundred fifty-four thousand, three hundred ninety-seven 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 137804571426816 cubic inches would be around 4304.3 feet tall.

Recreational maths with 137804571426816

• 137804571426816 backwards is 618624175408731
• 137804571426816 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 137804571426816's digits is 63
• More coming soon!