12427824697344

Names of 12427824697344

• Cardinal: 12427824697344 can be written as Twelve trillion, four hundred twenty-seven billion, eight hundred twenty-four million, six hundred ninety-seven thousand, three hundred forty-four.

Scientific notation

• Scientific notation: 1.2427824697344 × 10¹³

Factors of 12427824697344

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 20
• Sum of prime factors: 116

Divisors of 12427824697344

• Number of divisors d(n): 1053
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 43 48 49 56 61 63 64 72 84 86 96 98 112 122 126 128 129 144 147 168 172 183 192 196 224 244 252 256 258 288 294 301 336 344 366 384 387 392 427 441 448 488 504 512 516 549 576 588 602 672 688 732 768 774 784 854 882 896 903 976 1008 1024 1032 1098 1152 1176 1204 1281 1344 1376 1464 1536 1548 1568 1708 1764 1792 1806 1849 1952 2016 2048 2064 2107 2196 2304 2352 2408 2562 2623 2688 2709 2752 2928 2989 3072 3096 3136 3416 3528 3584 3612 3698 3721 3843 3904 4032 4096 4128 4214 4392 4608 4704 4816 5124 5246 5376 5418 5504 5547 5856 5978 6144 6192 6272 6321 6832 7056 7168 7224 7396 7442 7686 7808 7869 8064 8256 8428 8784 8967 9216 9408 9632 10248 10492 10752 10836 11008 11094 11163 11712 11956 12288 12384 12544 12642 12943 13664 14112 14336 14448 14792 14884 15372 15616 15738 16128 16512 16641 16856 17568 17934 18361 18432 18816 18963 19264 20496 20984 21504 21672 22016 22188 22326 23424 23607 23912 24768 25088 25284 25886 26047 26901 27328 28224 28672 28896 29584 29768 30744 31232 31476 32256 33024 33282 33489 33712 35136 35868 36722 36864 37632 37926 38528 38829 40992 41968 43008 43344 44032 44376 44652 46848 47214 47824 49536 50176 50568 51772 52094 53802 54656 55083 56448 57792 59168 59536 61488 62464 62952 64512 66048 66564 66978 67424 70272 71736 73444 75264 75852 77056 77658 78141 81984 83936 86016 86688 88064 88752 89304 90601 93696 94428 95648 99072 100352 101136 103544 104188 107604 109312 110166 112789 112896 115584 116487 118336 119072 122976 124928 125904 128527 129024 132096 133128 133956 134848 140544 143472 146888 150528 151704 154112 155316 156282 160003 163968 165249 167872 173376 176128 177504 178608 181202 182329 187392 188856 191296 198144 200704 202272 207088 208376 215208 218624 220332 225578 225792 231168 232974 234423 236672 238144 245952 249856 251808 257054 258048 264192 266256 267912 269696 271803 281088 286944 293776 301056 303408 308224 310632 312564 320006 327936 330498 335744 338367 346752 355008 357216 362404 364658 374784 377712 382592 385581 396288 404544 414176 416752 430416 437248 440664 451156 451584 462336 465948 468846 473344 476288 480009 491904 503616 514108 528384 532512 535824 539392 543606 546987 562176 573888 587552 602112 606816 616448 621264 625128 640012 655872 660996 671488 676734 693504 710016 714432 724808 729316 749568 755424 765184 771162 789523 792576 809088 815409 828352 833504 860832 874496 881328 902312 903168 924672 931896 937692 946688 952576 960018 983808 1007232 1015101 1028216 1065024 1071648 1078784 1087212 1093974 1120021 1124352 1147776 1156743 1175104 1213632 1232896 1242528 1250256 1280024 1311744 1321992 1342976 1353468 1387008 1420032 1428864 1440027 1449616 1458632 1510848 1530368 1542324 1579046 1585152 1618176 1630818 1640961 1656704 1667008 1721664 1748992 1762656 1804624 1806336 1849344 1863792 1875384 1893376 1905152 1920036 1967616 2014464 2030202 2056432 2130048 2143296 2157568 2174424 2187948 2240042 2248704 2295552 2313486 2350208 2368569 2427264 2485056 2500512 2560048 2623488 2643984 2685952 2706936 2774016 2840064 2857728 2880054 2899232 2917264 3021696 3060736 3084648 3158092 3236352 3261636 3281922 3313408 3334016 3360063 3443328 3525312 3609248 3698688 3727584 3750768 3786752 3810304 3840072 3935232 4028928 4060404 4112864 4260096 4286592 4315136 4348848 4375896 4480084 4591104 4626972 4700416 4737138 4854528 4970112 5001024 5120096 5246976 5287968 5371904 5413872 5526661 5548032 5680128 5715456 5760108 5798464 5834528 6043392 6121472 6169296 6316184 6472704 6523272 6563844 6626816 6668032 6720126 6880129 6886656 7050624 7105707 7218496 7455168 7501536 7573504 7620608 7680144 7840147 7870464 8057856 8120808 8225728 8520192 8573184 8630272 8697696 8751792 8960168 9182208 9253944 9400832 9474276 9709056 9940224 10002048 10080189 10240192 10575936 10743808 10827744 11053322 11096064 11360256 11430912 11520216 11596928 11669056 12086784 12242944 12338592 12632368 12945408 13046544 13127688 13253632 13336064 13440252 13760258 13773312 14101248 14211414 14436992 14910336 15003072 15241216 15360288 15680294 15740928 16115712 16241616 16451456 16579983 17040384 17146368 17395392 17503584 17920336 18364416 18507888 18801664 18948552 19418112 19880448 20004096 20160378 20480384 20640387 21151872 21655488 22106644 22720512 22861824 23040432 23193856 23338112 23520441 24173568 24677184 25264736 25890816 26093088 26255376 26507264 26672128 26880504 27520516 27546624 28202496 28422828 28873984 29820672 30006144 30720576 31360588 32231424 32483232 32902912 33159966 34080768 34292736 34790784 35007168 35840672 36728832 37015776 37603328 37897104 38836224 39760896 40008192 40320756 40960768 41280774 42303744 43310976 44213288 45723648 46080864 46387712 46676224 47040882 48160903 48347136 49354368 49739949 50529472 52186176 52510752 53014528 53344256 53761008 55041032 55093248 56404992 56845656 57747968 59641344 60012288 61441152 61921161 62721176 64966464 65805824 66319932 68161536 68585472 69581568 70014336 70561323 71681344 74031552 75206656 75794208 77672448 79521792 80016384 80641512 81921536 82561548 84607488 86621952 88426576 92161728 92775424 93352448 94081764 96321806 96694272 98708736 99479898 101058944 104372352 105021504 106688512 107522016 110082064 110186496 112809984 113691312 115495936 119282688 120024576 122882304 123842322 125442352 129932928 131611648 132639864 137170944 139163136 140028672 141122646 143362688 144482709 148063104 151588416 159043584 160032768 161283024 163843072 165123096 169214976 173243904 176853152 184323456 185550848 186704896 188163528 192643612 197417472 198959796 202117888 208744704 210043008 215044032 220164128 225619968 227382624 230991872 238565376 240049152 245764608 247684644 250884704 259865856 263223296 265279728 278326272 280057344 282245292 286725376 288965418 296126208 303176832 320065536 322566048 327686144 330246192 337126321 338429952 346487808 353706304 368646912 371101696 373409792 376327056 385287224 394834944 397919592 404235776 417489408 420086016 430088064 433448127 440328256 454765248 461983744 477130752 480098304 491529216 495369288 501769408 519731712 526446592 530559456 556652544 560114688 564490584 573450752 577930836 592252416 606353664 645132096 655372288 660492384 674252642 676859904 692975616 707412608 737293824 746819584 752654112 770574448 789669888 795839184 808471552 834978816 840172032 860176128 866896254 880656512 909530496 960196608 983058432 990738576 1003538816 1011378963 1039463424 1061118912 1113305088 1120229376 1128981168 1146901504 1155861672 1184504832 1212707328 1290264192 1320984768 1348505284 1385951232 1414825216 1474587648 1505308224 1541148896 1579339776 1591678368 1616943104 1669957632 1680344064 1720352256 1733792508 1761313024 1819060992 1966116864 1981477152 2007077632 2022757926 2078926848 2122237824 2240458752 2257962336 2293803008 2311723344 2369009664 2425414656 2580528384 2641969536 2697010568 2829650432 2949175296 3010616448 3034136889 3082297792 3183356736 3233886208 3339915264 3360688128 3440704512 3467585016 3522626048 3638121984 3962954304 4014155264 4045515852 4157853696 4244475648 4515924672 4587606016 4623446688 4738019328 4850829312 5161056768 5283939072 5394021136 5659300864 5898350592 6021232896 6068273778 6164595584 6366713472 6721376256 6881409024 6935170032 7045252096 7276243968 7925908608 8028310528 8091031704 8488951296 9031849344 9246893376 9701658624 10322113536 10567878144 10788042272 11318601728 12042465792 12136547556 12329191168 12733426944 13762818048 13870340064 14090504192 14552487936 15851817216 16056621056 16182063408 16977902592 18063698688 18493786752 20644227072 21135756288 21576084544 22637203456 24084931584 24273095112 24658382336 25466853888 27740680128 28181008384 29104975872 31703634432 32113242112 32364126816 33955805184 36127397376 36987573504 41288454144 42271512576 43152169088 48169863168 48546190224 49316764672 50933707776 55481360256 63407268864 64728253632 67911610368 72254794752 73975147008 84543025152 86304338176 96339726336 97092380448 98633529344 101867415552 110962720512 126814537728 129456507264 144509589504 147950294016 172608676352 194184760896 197267058688 203734831104 221925441024 253629075456 258913014528 289019179008 295900588032 345217352704 388369521792 443850882048 517826029056 591801176064 690434705408 776739043584 887701764096 1035652058112 1380869410816 1553478087168 1775403528192 2071304116224 3106956174336 4142608232448 6213912348672 12427824697344
• Sum of all divisors σ(n): 43465240718289
• Sum of proper divisors (its aliquot sum) s(n): 31037416020945
• 12427824697344 is an abundant number, because the sum of its proper divisors (31037416020945) is greater than itself. Its abundance is 18609591323601

Bases of 12427824697344

• Binary: 10110100110110010100000100111001000000000000₂
• Hexadecimal: 0xB4D94139000
• Base-36: 4EL9HY4G0

Squares and roots of 12427824697344

• 12427824697344 squared (12427824697344²) is 154450826707913485200654336
• 12427824697344 cubed (12427824697344³) is 1919487798685805501103558196409961283584
• 12427824697344 is a perfect square number. Its square root is 3525312
• The cube root of 12427824697344 is 23163.1901764935

Scales and comparisons

• 12,427,824,697,344 seconds is equal to 395,166 years, 19 weeks, 6 days, 15 hours, 2 minutes, 24 seconds.
• To count from 1 to 12,427,824,697,344 would take you about nine hundred eighty-seven thousand, nine hundred fifteen 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 12427824697344 cubic inches would be around 1930.3 feet tall.

Recreational maths with 12427824697344

• 12427824697344 backwards is 44379642872421
• 12427824697344 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12427824697344's digits is 63
• More coming soon!