12978664649296128

Names of 12978664649296128

• Cardinal: 12978664649296128 can be written as Twelve quadrillion, nine hundred seventy-eight trillion, six hundred sixty-four billion, six hundred forty-nine million, two hundred ninety-six thousand, one hundred twenty-eight.

Scientific notation

• Scientific notation: 1.2978664649296128 × 10¹⁶

Factors of 12978664649296128

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 22
• Sum of prime factors: 664

Divisors of 12978664649296128

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 659 729 768 864 972 1152 1296 1318 1458 1728 1944 1977 2187 2304 2592 2636 2916 3456 3888 3954 4374 5184 5272 5832 5931 6561 6912 7776 7908 8748 10368 10544 11664 11862 13122 15552 15816 17496 17793 19683 20736 21088 23328 23724 26244 31104 31632 34992 35586 39366 42176 46656 47448 52488 53379 59049 62208 63264 69984 71172 78732 84352 93312 94896 104976 106758 118098 126528 139968 142344 157464 160137 168704 177147 186624 189792 209952 213516 236196 253056 279936 284688 314928 320274 354294 379584 419904 427032 434281 472392 480411 506112 559872 569376 629856 640548 708588 759168 839808 854064 868562 944784 960822 1138752 1259712 1281096 1302843 1417176 1441233 1518336 1679616 1708128 1737124 1889568 1921644 2277504 2519424 2562192 2605686 2834352 2882466 3416256 3474248 3779136 3843288 3908529 4323699 4555008 5038848 5124384 5211372 5668704 5764932 6832512 6948496 7558272 7686576 7817058 8647398 10248768 10422744 11337408 11529864 11725587 12971097 13665024 13896992 15116544 15373152 15634116 17294796 20497536 20845488 22674816 23059728 23451174 25942194 27793984 30746304 31268232 34589592 35176761 38913291 40995072 41690976 45349632 46119456 46902348 51884388 55587968 61492608 62536464 69179184 70353522 77826582 83381952 92238912 93804696 103768776 105530283 111175936 116739873 122985216 125072928 138358368 140707044 155653164 166763904 184477824 187609392 207537552 211060566 233479746 250145856 276716736 281414088 286191179 311306328 316590849 333527808 368955648 375218784 415075104 422121132 466959492 500291712 553433472 562828176 572382358 622612656 633181698 750437568 830150208 844242264 858573537 933918984 949772547 1000583424 1106866944 1125656352 1144764716 1245225312 1266363396 1500875136 1660300416 1688484528 1717147074 1867837968 1899545094 2251312704 2289529432 2490450624 2532726792 2575720611 2849317641 3001750272 3320600832 3376969056 3434294148 3735675936 3799090188 4502625408 4579058864 4980901248 5065453584 5151441222 5698635282 6753938112 6868588296 7471351872 7598180376 7727161833 8547952923 9005250816 9158117728 9961802496 10130907168 10302882444 11397270564 13507876224 13737176592 14942703744 15196360752 15454323666 17095905846 18316235456 20261814336 20605764888 22794541128 23181485499 25643858769 27015752448 27474353184 29885407488 30392721504 30908647332 34191811692 36632470912 40523628672 41211529776 45589082256 46362970998 51287717538 54948706368 60785443008 61817294664 68383623384 69544456497 73264941824 76931576307 81047257344 82423059552 91178164512 92725941996 102575435076 109897412736 121570886016 123634589328 136767246768 139088912994 153863152614 164846119104 182356329024 185451883992 205150870152 208633369491 219794825472 243141772032 247269178656 273534493536 278177825988 307726305228 329692238208 364712658048 370903767984 410301740304 417266738982 494538357312 547068987072 556355651976 615452610456 625900108473 659384476416 729425316096 741807535968 820603480608 834533477964 989076714624 1094137974144 1112711303952 1230905220912 1251800216946 1483615071936 1641206961216 1669066955928 1877700325419 1978153429248 2188275948288 2225422607904 2461810441824 2503600433892 2967230143872 3282413922432 3338133911856 3755400650838 4450845215808 4923620883648 5007200867784 5633100976257 5934460287744 6564827844864 6676267823712 7510801301676 8901690431616 9847241767296 10014401735568 11266201952514 13352535647424 15021602603352 16899302928771 17803380863232 19694483534592 20028803471136 22532403905028 26705071294848 30043205206704 33798605857542 40057606942272 45064807810056 50697908786313 53410142589696 60086410413408 67597211715084 80115213884544 90129615620112 101395817572626 120172820826816 135194423430168 160230427769088 180259231240224 202791635145252 240345641653632 270388846860336 360518462480448 405583270290504 480691283307264 540777693720672 721036924960896 811166540581008 1081555387441344 1442073849921792 1622333081162016 2163110774882688 3244666162324032 4326221549765376 6489332324648064 12978664649296128
• Sum of all divisors σ(n): 38918931521870400
• Sum of proper divisors (its aliquot sum) s(n): 25940266872574272
• 12978664649296128 is an abundant number, because the sum of its proper divisors (25940266872574272) is greater than itself. Its abundance is 12961602223278144

Bases of 12978664649296128

• Binary: 101110000111000000011011011000000101001000100100000000₂
• Hexadecimal: 0x2E1C06D8148900
• Base-36: 3JSJW890000

Squares and roots of 12978664649296128

• 12978664649296128 squared (12978664649296128²) is 168445736078888985211445835792384
• 12978664649296128 cubed (12978664649296128³) is 2186200720171741846492845096589568156694743089152
• The square root of 12978664649296128 is 113923942.3883150561
• The cube root of 12978664649296128 is 235004.7661583283

Scales and comparisons

• 12,978,664,649,296,128 seconds is equal to 412,681,390 years, 10 weeks, 3 days, 12 hours, 28 minutes, 48 seconds.
• To count from 1 to 12,978,664,649,296,128 would take you about one billion, two hundred thirty-eight million, forty-four thousand, one hundred seventy 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 12978664649296128 cubic inches would be around 19583.7 feet tall.

Recreational maths with 12978664649296128

• 12978664649296128 backwards is 82169294646687921
• The number of decimal digits it has is: 17
• The sum of 12978664649296128's digits is 90
• More coming soon!