13122321409968128

Names of 13122321409968128

• Cardinal: 13122321409968128 can be written as Thirteen quadrillion, one hundred twenty-two trillion, three hundred twenty-one billion, four hundred nine million, nine hundred sixty-eight thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.3122321409968128 × 10¹⁶

Factors of 13122321409968128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 82

Divisors of 13122321409968128

• Number of divisors d(n): 300
• Complete list of divisors:
  1 2 4 8 16 32 37 43 64 74 86 128 148 172 256 296 344 512 592 688 1024 1184 1369 1376 1591 1849 2048 2368 2738 2752 3182 3698 4736 5476 5504 6364 7396 9472 10952 11008 12728 14792 18944 21904 22016 25456 29584 37888 43808 44032 50653 50912 58867 59168 68413 75776 79507 87616 88064 101306 101824 117734 118336 136826 159014 175232 202612 203648 235468 236672 273652 318028 350464 405224 407296 470936 473344 547304 636056 700928 810448 814592 941872 946688 1094608 1272112 1401856 1620896 1629184 1874161 1883744 1893376 2178079 2189216 2531281 2544224 2803712 2941759 3241792 3258368 3418801 3748322 3767488 3786752 4356158 4378432 5062562 5088448 5883518 6483584 6837602 7496644 7534976 8712316 8756864 10125124 10176896 11767036 12967168 13675204 14993288 15069952 17424632 17513728 20250248 20353792 23534072 25934336 27350408 29986576 30139904 34849264 35027456 40500496 40707584 47068144 51868672 54700816 59973152 60279808 69698528 70054912 80588923 81000992 81415168 93657397 94136288 103737344 108845083 109401632 119946304 120559616 126495637 139397056 140109824 161177846 162001984 162830336 187314794 188272576 217690166 218803264 239892608 252991274 278794112 322355692 324003968 374629588 376545152 435380332 437606528 479785216 505982548 557588224 644711384 648007936 749259176 753090304 870760664 875213056 959570432 1011965096 1115176448 1289422768 1296015872 1498518352 1506180608 1741521328 1750426112 1919140864 2023930192 2230352896 2578845536 2592031744 2997036704 3012361216 3465323689 3483042656 3500852224 3838281728 4027268071 4047860384 4460705792 4680338569 5157691072 5184063488 5994073408 6024722432 6930647378 6966085312 7001704448 8054536142 8095720768 9360677138 10315382144 11988146816 13861294756 13932170624 16109072284 16191441536 18721354276 20630764288 23976293632 27722589512 27864341248 32218144568 32382883072 37442708552 41261528576 47952587264 55445179024 55728682496 64436289136 64765766144 74885417104 82523057152 95905174528 110890358048 111457364992 128872578272 129531532288 149008918627 149770834208 165046114304 173172527053 191810349056 221780716096 222914729984 257745156544 259063064576 298017837254 299541668416 346345054106 443561432192 515490313088 596035674508 599083336832 692690108212 887122864384 1030980626176 1192071349016 1198166673664 1385380216424 1774245728768 2061961252352 2384142698032 2396333347328 2770760432848 3548491457536 4123922504704 4768285396064 4792666694656 5541520865696 6407383500961 7096982915072 8247845009408 9536570792128 9585333389312 11083041731392 12814767001922 19073141584256 22166083462784 25629534003844 38146283168512 44332166925568 51259068007688 76292566337024 88664333851136 102518136015376 152585132674048 177328667702272 205036272030752 305170265348096 354657335404544 410072544061504 820145088123008 1640290176246016 3280580352492032 6561160704984064 13122321409968128
• Sum of all divisors σ(n): 27609147945373995
• Sum of proper divisors (its aliquot sum) s(n): 14486826535405867
• 13122321409968128 is an abundant number, because the sum of its proper divisors (14486826535405867) is greater than itself. Its abundance is 1364505125437739

Bases of 13122321409968128

• Binary: 101110100111101010111010001010010001010000100000000000₂
• Hexadecimal: 0x2E9EAE8A450800
• Base-36: 3L7H38F72M8

Squares and roots of 13122321409968128

• 13122321409968128 squared (13122321409968128²) is 172195319186507918844041975824384
• 13122321409968128 cubed (13122321409968128³) is 2259602323657408437368602089909619257407965233152
• The square root of 13122321409968128 is 114552701.4520745731
• The cube root of 13122321409968128 is 235868.6512344723

Scales and comparisons

• 13,122,321,409,968,128 seconds is equal to 417,249,230 years, 43 weeks, 1 day, 18 hours, 42 minutes, 8 seconds.
• To count from 1 to 13,122,321,409,968,128 would take you about one billion, two hundred fifty-one million, seven hundred forty-seven thousand, six hundred ninety-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 13122321409968128 cubic inches would be around 19655.7 feet tall.

Recreational maths with 13122321409968128

• 13122321409968128 backwards is 82186990412322131
• The number of decimal digits it has is: 17
• The sum of 13122321409968128's digits is 62
• More coming soon!