122189271792768

Names of 122189271792768

• Cardinal: 122189271792768 can be written as One hundred twenty-two trillion, one hundred eighty-nine billion, two hundred seventy-one million, seven hundred ninety-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.22189271792768 × 10¹⁴

Factors of 122189271792768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 18781

Divisors of 122189271792768

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 331 384 408 544 576 612 662 816 993 1087 1088 1152 1224 1324 1632 1986 2174 2176 2448 2648 2979 3261 3264 3972 4348 4896 5296 5627 5958 6522 6528 7944 8696 9783 9792 10592 11254 11916 13044 15888 16881 17341 17392 18479 19566 19584 21184 22508 23832 26088 31776 33762 34682 34784 36958 39132 42368 45016 47664 50643 52023 52176 55437 63552 67524 69364 69568 73916 78264 90032 95328 101286 104046 104352 110874 127104 135048 138728 139136 147832 156069 156528 166311 180064 190656 202572 208092 208704 221748 270096 277456 294797 295664 312138 313056 332622 359797 360128 381312 405144 416184 417408 443496 540192 554912 589594 591328 624276 626112 665244 719594 720256 810288 832368 884391 886992 1079391 1080384 1109824 1179188 1182656 1248552 1252224 1330488 1439188 1620576 1664736 1768782 1773984 2158782 2160768 2219648 2358376 2365312 2497104 2653173 2660976 2878376 3238173 3241152 3329472 3537564 3547968 4317564 4716752 4994208 5306346 5321952 5739871 5756752 6116549 6476346 6482304 6658944 7075128 7095936 8635128 9433504 9988416 10612692 10643904 11479742 11513504 12233098 12952692 14150256 17219613 17270256 18349647 18849667 18867008 19976832 21225384 21287808 22959484 23027008 24466196 25905384 28300512 34439226 34540512 36699294 37699334 37734016 42450768 45918968 46054016 48932392 51658839 51810768 55048941 56549001 56601024 68878452 69081024 73398588 75398668 84901536 91837936 97577807 97864784 103317678 103621536 110097882 113098002 113202048 137756904 138162048 146797176 150797336 169647003 169803072 183675872 195155614 195729568 206635356 207243072 220195764 226196004 275513808 292733421 293594352 301594672 320444339 339294006 339606144 367351744 390311228 391459136 413270712 414486144 440391528 452392008 551027616 585466842 587188704 603189344 640888678 678588012 734703488 780622456 782918272 826541424 878200263 880783056 904784016 961333017 1102055232 1170933684 1174377408 1206378688 1281777356 1357176024 1561244912 1653082848 1756400526 1761566112 1809568032 1922666034 2204110464 2341867368 2348754816 2412757376 2563554712 2714352048 2883999051 3122489824 3306165696 3512801052 3523132224 3619136064 3845332068 4683734736 5127109424 5428704096 5767998102 6239239777 6244979648 6612331392 7025602104 7046264448 7238272128 7690664136 9367469472 10254218848 10857408192 11535996204 12478479554 12489959296 14051204208 15381328272 18717719331 18734938944 20508437696 21714816384 23071992408 24956959108 28102408416 30762656544 37435438662 37469877888 41016875392 46143984816 49913918216 56153157993 56204816832 61525313088 74870877324 92287969632 99827836432 106067076209 112306315986 112409633664 123050626176 149741754648 184575939264 199655672864 212134152418 224612631972 299483509296 318201228627 369151878528 399311345728 424268304836 449225263944 598967018592 636402457254 798622691456 848536609672 898450527888 954603685881 1197934037184 1272804914508 1697073219344 1796901055776 1909207371762 2395868074368 2545609829016 3394146438688 3593802111552 3818414743524 5091219658032 6788292877376 7187604223104 7636829487048 10182439316064 13576585754752 15273658974096 20364878632128 30547317948192 40729757264256 61094635896384 122189271792768
• Sum of all divisors σ(n): 373785283722240
• Sum of proper divisors (its aliquot sum) s(n): 251596011929472
• 122189271792768 is an abundant number, because the sum of its proper divisors (251596011929472) is greater than itself. Its abundance is 129406740136704

Bases of 122189271792768

• Binary: 11011110010000101101000001000111111110010000000₂
• Hexadecimal: 0x6F216823FC80
• Base-36: 17B8Z5LB40

Squares and roots of 122189271792768

• 122189271792768 squared (122189271792768²) is 14930218141246929612737101824
• 122189271792768 cubed (122189271792768³) is 1824312482386136535768704681757697042808832
• The square root of 122189271792768 is 11053925.6281543709
• The cube root of 122189271792768 is 49622.3916568111

Scales and comparisons

• 122,189,271,792,768 seconds is equal to 3,885,240 years, 46 weeks, 18 hours, 52 minutes, 48 seconds.
• To count from 1 to 122,189,271,792,768 would take you about nine million, seven hundred thirteen thousand, one hundred two 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 122189271792768 cubic inches would be around 4135.2 feet tall.

Recreational maths with 122189271792768

• 122189271792768 backwards is 867297172981221
• 122189271792768 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 122189271792768's digits is 72
• More coming soon!