137433507954688

Names of 137433507954688

• Cardinal: 137433507954688 can be written as One hundred thirty-seven trillion, four hundred thirty-three billion, five hundred seven million, nine hundred fifty-four thousand, six hundred eighty-eight.

Scientific notation

• Scientific notation: 1.37433507954688 × 10¹⁴

Factors of 137433507954688

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 649

Divisors of 137433507954688

• Number of divisors d(n): 342
• Complete list of divisors:
  1 2 4 8 11 16 22 32 44 64 88 89 121 128 176 178 242 256 352 356 484 512 547 704 712 968 979 1024 1094 1408 1424 1936 1958 2048 2188 2816 2848 3872 3916 4096 4376 5632 5696 6017 7744 7832 7921 8192 8752 10769 11264 11392 12034 15488 15664 15842 16384 17504 21538 22528 22784 24068 30976 31328 31684 32768 35008 43076 45056 45568 48136 48683 61952 62656 63368 65536 66187 70016 86152 87131 90112 91136 96272 97366 123904 125312 126736 131072 132374 140032 172304 174262 180224 182272 192544 194732 247808 250624 253472 262144 264748 280064 344608 348524 360448 364544 385088 389464 495616 501248 506944 529496 535513 560128 689216 697048 720896 729088 770176 778928 958441 991232 1002496 1013888 1058992 1071026 1120256 1378432 1394096 1441792 1458176 1540352 1557856 1916882 1982464 2004992 2027776 2117984 2142052 2240512 2756864 2788192 2883584 2916352 3080704 3115712 3833764 3964928 4009984 4055552 4235968 4284104 4332787 4481024 5513728 5576384 5832704 5890643 6161408 6231424 7667528 7929856 8019968 8111104 8471936 8568208 8665574 8962048 11027456 11152768 11665408 11781286 12322816 12462848 15335056 15859712 16039936 16222208 16943872 17136416 17331148 17924096 22054912 22305536 23330816 23562572 24645632 24925696 30670112 31719424 32079872 32444416 33887744 34272832 34662296 35848192 44109824 44611072 47125144 47660657 49291264 49851392 61340224 64159744 64888832 67775488 68545664 69324592 71696384 88219648 89222144 94250288 95321314 98582528 99702784 122680448 128319488 129777664 135550976 137091328 138649184 143392768 176439296 178444288 188500576 190642628 197165056 199405568 245360896 256638976 259555328 271101952 274182656 277298368 352878592 356888576 377001152 381285256 394330112 398811136 490721792 519110656 524267227 542203904 548365312 554596736 705757184 713777152 754002304 762570512 788660224 797622272 981443584 1038221312 1048534454 1084407808 1096730624 1109193472 1411514368 1427554304 1508004608 1525141024 1577320448 1595244544 1962887168 2076442624 2097068908 2168815616 2193461248 2218386944 2823028736 2855108608 3016009216 3050282048 3190489088 3925774336 4194137816 4337631232 4386922496 4436773888 5710217216 6032018432 6100564096 6380978176 7851548672 8388275632 8675262464 8773844992 8873547776 11420434432 12064036864 12201128192 12761956352 15703097344 16776551264 17350524928 17547689984 17747095552 22840868864 24128073728 24402256384 31406194688 33553102528 35095379968 35494191104 48256147456 48804512768 62812389376 67106205056 70190759936 70988382208 96512294912 97609025536 125624778752 134212410112 140381519872 141976764416 193024589824 195218051072 251249557504 268424820224 283953528832 386049179648 390436102144 536849640448 567907057664 772098359296 780872204288 1073699280896 1135814115328 1544196718592 1561744408576 2147398561792 3123488817152 4294797123584 6246977634304 8589594247168 12493955268608 17179188494336 34358376988672 68716753977344 137433507954688
• Sum of all divisors σ(n): 306117403134788
• Sum of proper divisors (its aliquot sum) s(n): 168683895180100
• 137433507954688 is an abundant number, because the sum of its proper divisors (168683895180100) is greater than itself. Its abundance is 31250387225412

Bases of 137433507954688

• Binary: 11111001111111010111011011011000000000000000000₂
• Hexadecimal: 0x7CFEBB6C0000
• Base-36: 1CPS2Y7HTS

Squares and roots of 137433507954688

• 137433507954688 squared (137433507954688²) is 18887969108731289773061177344
• 137433507954688 cubed (137433507954688³) is 2595839852752722926621489298799094684188672
• The square root of 137433507954688 is 11723203.8263730619
• The cube root of 137433507954688 is 51605.6846233389

Scales and comparisons

• 137,433,507,954,688 seconds is equal to 4,369,960 years, 23 weeks, 7 hours, 51 minutes, 28 seconds.
• To count from 1 to 137,433,507,954,688 would take you about ten million, nine hundred twenty-four thousand, nine hundred 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 137433507954688 cubic inches would be around 4300.5 feet tall.

Recreational maths with 137433507954688

• 137433507954688 backwards is 886459705334731
• The number of decimal digits it has is: 15
• The sum of 137433507954688's digits is 73
• More coming soon!