12323738640973824

Names of 12323738640973824

• Cardinal: 12323738640973824 can be written as Twelve quadrillion, three hundred twenty-three trillion, seven hundred thirty-eight billion, six hundred forty million, nine hundred seventy-three thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.2323738640973824 × 10¹⁶

Factors of 12323738640973824

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 45
• Sum of prime factors: 46

Divisors of 12323738640973824

• Number of divisors d(n): 608
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 81 82 96 108 123 128 144 162 164 192 216 243 246 256 288 324 328 369 384 432 486 492 512 576 648 656 729 738 768 864 972 984 1024 1107 1152 1296 1312 1458 1476 1536 1728 1944 1968 2048 2187 2214 2304 2592 2624 2916 2952 3072 3321 3456 3888 3936 4096 4374 4428 4608 5184 5248 5832 5904 6144 6642 6912 7776 7872 8192 8748 8856 9216 9963 10368 10496 11664 11808 12288 13284 13824 15552 15744 16384 17496 17712 18432 19926 20736 20992 23328 23616 24576 26568 27648 29889 31104 31488 32768 34992 35424 36864 39852 41472 41984 46656 47232 49152 53136 55296 59778 62208 62976 65536 69984 70848 73728 79704 82944 83968 89667 93312 94464 98304 106272 110592 119556 124416 125952 131072 139968 141696 147456 159408 165888 167936 179334 186624 188928 196608 212544 221184 239112 248832 251904 262144 279936 283392 294912 318816 331776 335872 358668 373248 377856 393216 425088 442368 478224 497664 503808 524288 559872 566784 589824 637632 663552 671744 717336 746496 755712 786432 850176 884736 956448 995328 1007616 1048576 1119744 1133568 1179648 1275264 1327104 1343488 1434672 1492992 1511424 1572864 1700352 1769472 1912896 1990656 2015232 2097152 2239488 2267136 2359296 2550528 2654208 2686976 2869344 2985984 3022848 3145728 3400704 3538944 3825792 3981312 4030464 4194304 4478976 4534272 4718592 5101056 5308416 5373952 5738688 5971968 6045696 6291456 6801408 7077888 7651584 7962624 8060928 8388608 8957952 9068544 9437184 10202112 10616832 10747904 11477376 11943936 12091392 12582912 13602816 14155776 15303168 15925248 16121856 16777216 17915904 18137088 18874368 20404224 21233664 21495808 22954752 23887872 24182784 25165824 27205632 28311552 30606336 31850496 32243712 33554432 35831808 36274176 37748736 40808448 42467328 42991616 45909504 47775744 48365568 50331648 54411264 56623104 61212672 63700992 64487424 67108864 71663616 72548352 75497472 81616896 84934656 85983232 91819008 95551488 96731136 100663296 108822528 113246208 122425344 127401984 128974848 134217728 143327232 145096704 150994944 163233792 169869312 171966464 183638016 191102976 193462272 201326592 217645056 226492416 244850688 254803968 257949696 268435456 286654464 290193408 301989888 326467584 339738624 343932928 367276032 382205952 386924544 402653184 435290112 452984832 489701376 509607936 515899392 536870912 573308928 580386816 603979776 652935168 679477248 687865856 734552064 764411904 773849088 805306368 870580224 905969664 979402752 1019215872 1031798784 1073741824 1146617856 1160773632 1207959552 1305870336 1358954496 1375731712 1469104128 1528823808 1547698176 1610612736 1741160448 1811939328 1958805504 2038431744 2063597568 2147483648 2293235712 2321547264 2415919104 2611740672 2717908992 2751463424 2938208256 3057647616 3095396352 3221225472 3482320896 3623878656 3917611008 4076863488 4127195136 4294967296 4586471424 4643094528 4831838208 5223481344 5435817984 5502926848 5876416512 6115295232 6190792704 6442450944 6964641792 7247757312 7835222016 8153726976 8254390272 8589934592 9172942848 9286189056 9663676416 10446962688 10871635968 11005853696 11752833024 12230590464 12381585408 12884901888 13929283584 14495514624 15670444032 16307453952 16508780544 17179869184 18345885696 18572378112 19327352832 20893925376 21743271936 22011707392 23505666048 24461180928 24763170816 25769803776 27858567168 28991029248 31340888064 32614907904 33017561088 34359738368 36691771392 37144756224 38654705664 41787850752 43486543872 44023414784 47011332096 48922361856 49526341632 51539607552 55717134336 57982058496 62681776128 65229815808 66035122176 68719476736 73383542784 74289512448 77309411328 83575701504 86973087744 88046829568 94022664192 97844723712 99052683264 103079215104 111434268672 115964116992 125363552256 130459631616 132070244352 137438953472 146767085568 148579024896 154618822656 167151403008 173946175488 176093659136 188045328384 195689447424 198105366528 206158430208 222868537344 231928233984 250727104512 260919263232 264140488704 293534171136 297158049792 309237645312 334302806016 347892350976 352187318272 376090656768 391378894848 396210733056 412316860416 445737074688 463856467968 501454209024 521838526464 528280977408 587068342272 594316099584 618475290624 668605612032 695784701952 704374636544 752181313536 782757789696 792421466112 891474149376 927712935936 1002908418048 1043677052928 1056561954816 1174136684544 1188632199168 1236950581248 1337211224064 1391569403904 1408749273088 1504362627072 1565515579392 1584842932224 1782948298752 1855425871872 2005816836096 2087354105856 2113123909632 2348273369088 2377264398336 2674422448128 2783138807808 2817498546176 3008725254144 3131031158784 3169685864448 3565896597504 3710851743744 4011633672192 4174708211712 4226247819264 4696546738176 4754528796672 5348844896256 5566277615616 5634997092352 6017450508288 6262062317568 6339371728896 7131793195008 8023267344384 8349416423424 8452495638528 9393093476352 9509057593344 10697689792512 11132555231232 12034901016576 12524124635136 12678743457792 14263586390016 16046534688768 16698832846848 16904991277056 18786186952704 19018115186688 21395379585024 24069802033152 25048249270272 25357486915584 28527172780032 32093069377536 33397665693696 37572373905408 38036230373376 42790759170048 48139604066304 50096498540544 50714973831168 57054345560064 64186138755072 75144747810816 76072460746752 85581518340096 96279208132608 100192997081088 114108691120128 128372277510144 150289495621632 152144921493504 171163036680192 192558416265216 228217382240256 256744555020288 300578991243264 342326073360384 385116832530432 456434764480512 513489110040576 684652146720768 770233665060864 1026978220081152 1369304293441536 1540467330121728 2053956440162304 3080934660243456 4107912880324608 6161869320486912 12323738640973824
• Sum of all divisors σ(n): 37867180460467680
• Sum of proper divisors (its aliquot sum) s(n): 25543441819493856
• 12323738640973824 is an abundant number, because the sum of its proper divisors (25543441819493856) is greater than itself. Its abundance is 13219703178520032

Bases of 12323738640973824

• Binary: 101011110010000110000000000000000000000000000000000000₂
• Hexadecimal: 0x2BC86000000000
• Base-36: 3DCEFDHC000

Squares and roots of 12323738640973824

• 12323738640973824 squared (12323738640973824²) is 151874534091031354515667053182976
• 12323738640973824 cubed (12323738640973824³) is 1871662064357539447382929066465841273791498420224
• The square root of 12323738640973824 is 111012335.5351729549
• The cube root of 12323738640973824 is 230983.4301625323

Scales and comparisons

• 12,323,738,640,973,824 seconds is equal to 391,856,768 years, 49 weeks, 5 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 12,323,738,640,973,824 would take you about one billion, one hundred seventy-five million, five hundred seventy thousand, three hundred six 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 12323738640973824 cubic inches would be around 19248.6 feet tall.

Recreational maths with 12323738640973824

• 12323738640973824 backwards is 42837904683732321
• 12323738640973824 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12323738640973824's digits is 72
• More coming soon!