12823171006464
12,823,171,006,464 is an even composite number composed of six prime numbers multiplied together.
12823171006464 is an even composite number. It is composed of six distinct prime numbers multiplied together. It has a total of seven hundred sixty-eight divisors.
Prime factorization of 12823171006464:
215 × 32 × 7 × 13 × 103 × 4639
(2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 7 × 13 × 103 × 4639)See below for interesting mathematical facts about the number 12823171006464 from the Numbermatics database.
Names of 12823171006464
- Cardinal: 12823171006464 can be written as Twelve trillion, eight hundred twenty-three billion, one hundred seventy-one million, six thousand, four hundred sixty-four.
Scientific notation
- Scientific notation: 1.2823171006464 × 1013
Factors of 12823171006464
Divisors of 12823171006464
- Number of divisors d(n): 768
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 64 72 78 84 91 96 103 104 112 117 126 128 144 156 168 182 192 206 208 224 234 252 256 273 288 309 312 336 364 384 412 416 448 468 504 512 546 576 618 624 672 721 728 768 819 824 832 896 927 936 1008 1024 1092 1152 1236 1248 1339 1344 1442 1456 1536 1638 1648 1664 1792 1854 1872 2016 2048 2163 2184 2304 2472 2496 2678 2688 2884 2912 3072 3276 3296 3328 3584 3708 3744 4017 4032 4096 4326 4368 4608 4639 4944 4992 5356 5376 5768 5824 6144 6489 6552 6592 6656 7168 7416 7488 8034 8064 8192 8652 8736 9216 9278 9373 9888 9984 10712 10752 11536 11648 12051 12288 12978 13104 13184 13312 13917 14336 14832 14976 16068 16128 16384 17304 17472 18432 18556 18746 19776 19968 21424 21504 23072 23296 24102 24576 25956 26208 26368 26624 27834 28119 28672 29664 29952 32136 32256 32473 32768 34608 34944 36864 37112 37492 39552 39936 41751 42848 43008 46144 46592 48204 49152 51912 52416 52736 53248 55668 56238 57344 59328 59904 60307 64272 64512 64946 69216 69888 73728 74224 74984 79104 79872 83502 84357 85696 86016 92288 93184 96408 97419 98304 103824 104832 105472 106496 111336 112476 114688 118656 119808 120614 128544 129024 129892 138432 139776 147456 148448 149968 158208 159744 167004 168714 171392 172032 180921 184576 186368 192816 194838 207648 209664 210944 212992 222672 224952 229376 237312 239616 241228 257088 258048 259784 276864 279552 292257 294912 296896 299936 316416 319488 334008 337428 342784 344064 361842 369152 372736 385632 389676 415296 419328 421888 422149 425984 445344 449904 474624 477817 479232 482456 514176 516096 519568 542763 553728 559104 584514 593792 599872 632832 638976 668016 674856 685568 688128 723684 738304 745472 771264 779352 830592 838656 843776 844298 890688 899808 949248 955634 958464 964912 1028352 1032192 1039136 1085526 1107456 1118208 1169028 1187584 1199744 1265664 1266447 1277952 1336032 1349712 1371136 1433451 1447368 1476608 1490944 1542528 1558704 1661184 1677312 1687552 1688596 1781376 1799616 1898496 1911268 1916928 1929824 2056704 2064384 2078272 2171052 2214912 2236416 2338056 2375168 2399488 2531328 2532894 2672064 2699424 2742272 2866902 2894736 2953216 2981888 3085056 3117408 3322368 3344719 3354624 3375104 3377192 3562752 3599232 3796992 3799341 3822536 3833856 3859648 4113408 4156544 4300353 4342104 4429824 4472832 4676112 4750336 4798976 5062656 5065788 5344128 5398848 5484544 5733804 5789472 5906432 6170112 6211621 6234816 6644736 6689438 6709248 6754384 7125504 7198464 7593984 7598682 7645072 7719296 8226816 8313088 8600706 8684208 8859648 8945664 9352224 9500672 9597952 10034157 10125312 10131576 10688256 10797696 10969088 11467608 11578944 11812864 12340224 12423242 12469632 13289472 13378876 13418496 13508768 14251008 14396928 15187968 15197364 15290144 15438592 16453632 16626176 17201412 17368416 17719296 18634863 18704448 19001344 19195904 20068314 20263152 21376512 21595392 21938176 22935216 23157888 23625728 24680448 24846484 24939264 26578944 26757752 26836992 27017536 28502016 28793856 30102471 30375936 30394728 30580288 30877184 32907264 33252352 34402824 34736832 35438592 37269726 37408896 38002688 38391808 40136628 40526304 42753024 43190784 43481347 43876352 45870432 46315776 49360896 49692968 49878528 53157888 53515504 54035072 55904589 57004032 57587712 60204942 60789456 61160576 61754368 65814528 66504704 68805648 69473664 70877184 74539452 74817792 76005376 76783616 80273256 81052608 85506048 86381568 86962694 91740864 92631552 98721792 99385936 99757056 106315776 107031008 108070144 111809178 114008064 115175424 120409884 121578912 122321152 123508736 130444041 131629056 133009408 137611296 138947328 149078904 149635584 152010752 153567232 160546512 162105216 171012096 172763136 173925388 183481728 185263104 197443584 198771872 199514112 212631552 214062016 216140288 223618356 228016128 230350848 240819768 243157824 244642304 247017472 260888082 266018816 275222592 277894656 298157808 299271168 307134464 321093024 324210432 342024192 345526272 347850776 366963456 370526208 391332123 394887168 397543744 399028224 428124032 432280576 447236712 456032256 460701696 481639536 486315648 489284608 494034944 521776164 532037632 550445184 555789312 596315616 598542336 642186048 648420864 684048384 691052544 695701552 733926912 741052416 782664246 795087488 798056448 856248064 864561152 894473424 921403392 963279072 972631296 978569216 988069888 1043552328 1064075264 1100890368 1111578624 1192631232 1197084672 1284372096 1296841728 1368096768 1382105088 1391403104 1467853824 1482104832 1565328492 1590174976 1596112896 1712496128 1729122304 1788946848 1926558144 1945262592 1957138432 1976139776 2087104656 2201780736 2223157248 2385262464 2394169344 2568744192 2593683456 2764210176 2782806208 2935707648 2964209664 3130656984 3180349952 3192225792 3424992256 3458244608 3577893696 3853116288 3890525184 3914276864 4174209312 4403561472 4446314496 4770524928 4788338688 5137488384 5187366912 5565612416 5871415296 5928419328 6261313968 6360699904 6849984512 6916489216 7155787392 7706232576 7781050368 7828553728 8348418624 8807122944 8892628992 9541049856 9576677376 10274976768 10374733824 11131224832 11742830592 12522627936 12721399808 13699969024 13832978432 14311574784 15412465152 15562100736 15657107456 16696837248 17614245888 17785257984 19082099712 20549953536 20749467648 22262449664 23485661184 25045255872 25442799616 27399938048 28623149568 30824930304 31124201472 33393674496 35228491776 38164199424 41099907072 41498935296 44524899328 46971322368 50090511744 50885599232 54799876096 57246299136 61649860608 62248402944 66787348992 70456983552 76328398848 82199814144 89049798656 100181023488 101771198464 109599752192 114492598272 123299721216 124496805888 133574697984 140913967104 152656797696 164399628288 178099597312 200362046976 203542396928 228985196544 246599442432 267149395968 305313595392 328799256576 356199194624 400724093952 457970393088 493198884864 534298791936 610627190784 712398389248 801448187904 915940786176 986397769728 1068597583872 1424796778496 1602896375808 1831881572352 2137195167744 3205792751616 4274390335488 6411585503232 12823171006464
- Sum of all divisors σ(n): 46045373337600
- Sum of proper divisors (its aliquot sum) s(n): 33222202331136
- 12823171006464 is an abundant number, because the sum of its proper divisors (33222202331136) is greater than itself. Its abundance is 20399031324672
Bases of 12823171006464
- Binary: 101110101001101000001000110110000000000000002
- Hexadecimal: 0xBA9A08D8000
- Base-36: 4JMVSXKW0
Squares and roots of 12823171006464
- 12823171006464 squared (128231710064642) is 164433714661018954729783296
- 12823171006464 cubed (128231710064643) is 2108561642326352622310096520924935225344
-
The
square root of 12823171006464 is 3580945.5464254131 -
The
cube root of 12823171006464 is 23406.2484874471
Scales and comparisons
How big is 12823171006464?- 12,823,171,006,464 seconds is equal to 407,737 years, 9 weeks, 2 hours, 14 minutes, 24 seconds.
-
To count from 1 to 12,823,171,006,464 would take you about one million, nineteen thousand, three hundred forty-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 12823171006464 cubic inches would be around 1950.5 feet tall.
Recreational maths with 12823171006464
- 12823171006464 backwards is 46460017132821
- The number of decimal digits it has is: 14
- The sum of 12823171006464's digits is 45
- More coming soon!
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The information we have on file for 12823171006464 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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