12840743337984

Names of 12840743337984

• Cardinal: 12840743337984 can be written as Twelve trillion, eight hundred forty billion, seven hundred forty-three million, three hundred thirty-seven thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.2840743337984 × 10¹³

Factors of 12840743337984

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 25
• Sum of prime factors: 47

Divisors of 12840743337984

• Number of divisors d(n): 864
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 23 24 27 32 36 38 46 48 54 57 64 69 72 76 92 96 108 114 128 138 144 152 171 184 192 207 216 228 256 276 288 304 342 361 368 384 414 432 437 456 512 513 529 552 576 608 621 684 722 736 768 828 864 874 912 1024 1026 1058 1083 1104 1152 1216 1242 1311 1368 1444 1472 1536 1587 1656 1728 1748 1824 2048 2052 2116 2166 2208 2304 2432 2484 2622 2736 2888 2944 3072 3174 3249 3312 3456 3496 3648 3933 4096 4104 4232 4332 4416 4608 4761 4864 4968 5244 5472 5776 5888 6144 6348 6498 6624 6859 6912 6992 7296 7866 8192 8208 8303 8464 8664 8832 9216 9522 9728 9747 9936 10051 10488 10944 11552 11776 11799 12288 12696 12996 13248 13718 13824 13984 14283 14592 15732 16384 16416 16606 16928 17328 17664 18432 19044 19456 19494 19872 20102 20577 20976 21888 23104 23552 23598 24576 24909 25392 25992 26496 27436 27648 27968 28566 29184 30153 31464 32768 32832 33212 33856 34656 35328 36864 38088 38912 38988 39744 40204 41154 41952 43776 46208 47104 47196 49152 49818 50784 51984 52992 54872 55296 55936 57132 58368 60306 61731 62928 65536 65664 66424 67712 69312 70656 73728 74727 76176 77824 77976 79488 80408 82308 83904 87552 90459 92416 94208 94392 98304 99636 101568 103968 105984 109744 110592 111872 114264 116736 120612 123462 125856 131072 131328 132848 135424 138624 141312 147456 149454 152352 155648 155952 157757 158976 160816 164616 167808 175104 180918 184832 185193 188416 188784 190969 196608 199272 203136 207936 211968 219488 221184 223744 224181 228528 233472 241224 246924 251712 262656 265696 270848 271377 277248 282624 294912 298908 304704 311296 311904 315514 317952 321632 329232 335616 350208 361836 369664 370386 376832 377568 381938 393216 398544 406272 415872 423936 438976 442368 447488 448362 457056 466944 473271 482448 493848 503424 525312 531392 541696 542754 554496 565248 572907 589824 597816 609408 622592 623808 631028 635904 643264 658464 671232 700416 723672 739328 740772 753664 755136 763876 797088 812544 831744 847872 877952 884736 894976 896724 914112 933888 946542 964896 987696 1006848 1050624 1062784 1083392 1085508 1108992 1130496 1145814 1179648 1195632 1218816 1245184 1247616 1262056 1271808 1286528 1316928 1342464 1400832 1419813 1447344 1478656 1481544 1507328 1510272 1527752 1594176 1625088 1663488 1695744 1718721 1755904 1769472 1789952 1793448 1828224 1867776 1893084 1929792 1975392 2013696 2101248 2125568 2166784 2171016 2217984 2260992 2291628 2391264 2437632 2490368 2495232 2524112 2543616 2573056 2633856 2684928 2801664 2839626 2894688 2957312 2963088 3014656 3020544 3055504 3188352 3250176 3326976 3391488 3437442 3511808 3538944 3579904 3586896 3628411 3656448 3735552 3786168 3859584 3950784 4027392 4202496 4251136 4259439 4333568 4342032 4435968 4521984 4583256 4782528 4875264 4990464 5048224 5087232 5146112 5156163 5267712 5369856 5603328 5679252 5789376 5914624 5926176 6041088 6111008 6376704 6500352 6653952 6782976 6874884 7023616 7159808 7173792 7256822 7312896 7471104 7572336 7719168 7901568 8054784 8404992 8502272 8518878 8667136 8684064 8871936 9043968 9166512 9565056 9750528 9980928 10096448 10174464 10292224 10312326 10535424 10739712 10885233 11206656 11358504 11578752 11829248 11852352 12082176 12222016 12753408 13000704 13307904 13565952 13749768 14047232 14319616 14347584 14513644 14625792 15144672 15438336 15803136 16109568 16809984 17004544 17037756 17334272 17368128 17743872 18333024 19130112 19501056 19961856 20192896 20348928 20584448 20624652 21070848 21479424 21770466 22413312 22717008 23157504 23658496 23704704 24164352 24444032 25506816 26001408 26615808 27131904 27499536 28094464 28639232 28695168 29027288 29251584 30289344 30876672 31606272 32219136 32655699 33619968 34009088 34075512 34668544 34736256 35487744 36666048 38260224 39002112 39923712 40385792 40697856 41168896 41249304 42141696 42958848 43540932 45434016 46315008 47316992 47409408 48328704 48888064 51013632 52002816 53231616 54999072 56188928 57278464 57390336 58054576 58503168 60578688 61753344 63212544 64438272 65311398 67239936 68018176 68151024 69337088 69472512 70975488 73332096 76520448 78004224 79847424 80771584 81395712 82337792 82498608 84283392 85917696 87081864 90868032 92630016 94818816 96657408 97776128 97967097 102027264 104005632 106463232 109998144 112377856 114780672 116109152 117006336 121157376 123506688 126425088 128876544 130622796 136036352 136302048 138945024 141950976 146664192 153040896 156008448 159694848 161543168 164675584 164997216 168566784 171835392 174163728 181736064 185260032 189637632 193314816 195552256 195934194 204054528 208011264 212926464 219996288 224755712 229561344 232218304 234012672 242314752 247013376 252850176 257753088 261245592 272072704 272604096 277890048 293328384 306081792 312016896 319389696 323086336 329351168 329994432 337133568 348327456 363472128 370520064 379275264 386629632 391104512 391868388 408109056 425852928 439992576 449511424 459122688 464436608 468025344 484629504 494026752 505700352 515506176 522491184 544145408 545208192 555780096 586656768 612163584 624033792 638779392 646172672 658702336 659988864 674267136 696654912 726944256 741040128 758550528 773259264 782209024 783736776 816218112 879985152 899022848 918245376 928873216 936050688 969259008 988053504 1011400704 1044982368 1088290816 1090416384 1111560192 1173313536 1224327168 1277558784 1292345344 1317404672 1319977728 1348534272 1393309824 1453888512 1482080256 1517101056 1546518528 1564418048 1567473552 1632436224 1759970304 1836490752 1857746432 1872101376 1938518016 1976107008 2022801408 2089964736 2180832768 2223120384 2346627072 2448654336 2584690688 2639955456 2697068544 2786619648 2907777024 2964160512 3034202112 3128836096 3134947104 3264872448 3519940608 3672981504 3715492864 3877036032 3952214016 4045602816 4179929472 4361665536 4446240768 4693254144 4897308672 5169381376 5279910912 5573239296 5815554048 5928321024 6068404224 6257672192 6269894208 7039881216 7345963008 7430985728 7754072064 8091205632 8359858944 8723331072 8892481536 9386508288 9794617344 10338762752 10559821824 11146478592 11631108096 11856642048 12136808448 12515344384 12539788416 14079762432 14691926016 14861971456 15508144128 16719717888 17446662144 17784963072 18773016576 20677525504 21119643648 22292957184 23262216192 24273616896 25030688768 25079576832 28159524864 29383852032 29723942912 31016288256 33439435776 34893324288 35569926144 37546033152 42239287296 44585914368 46524432384 50159153664 56319049728 59447885824 62032576512 66878871552 69786648576 75092066304 84478574592 89171828736 93048864768 100318307328 112638099456 118895771648 133757743104 139573297152 168957149184 178343657472 186097729536 200636614656 225276198912 237791543296 267515486208 279146594304 337914298368 356687314944 401273229312 475583086592 535030972416 558293188608 675828596736 713374629888 802546458624 1070061944832 1426749259776 1605092917248 2140123889664 3210185834496 4280247779328 6420371668992 12840743337984
• Sum of all divisors σ(n): 41981886878400
• Sum of proper divisors (its aliquot sum) s(n): 29141143540416
• 12840743337984 is an abundant number, because the sum of its proper divisors (29141143540416) is greater than itself. Its abundance is 16300400202432

Bases of 12840743337984

• Binary: 10111010110110110111111100100000000000000000₂
• Hexadecimal: 0xBADB7F20000
• Base-36: 4JUYF1MO0

Squares and roots of 12840743337984

• 12840743337984 squared (12840743337984²) is 164884689471980478457184256
• 12840743337984 cubed (12840743337984³) is 2117241977872893911383589565815171579904
• The square root of 12840743337984 is 3583398.2946337407
• The cube root of 12840743337984 is 23416.9352518893

Scales and comparisons

• 12,840,743,337,984 seconds is equal to 408,295 years, 47 weeks, 5 days, 13 hours, 26 minutes, 24 seconds.
• To count from 1 to 12,840,743,337,984 would take you about one million, twenty thousand, seven hundred thirty-nine 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 12840743337984 cubic inches would be around 1951.4 feet tall.

Recreational maths with 12840743337984

• 12840743337984 backwards is 48973334704821
• The number of decimal digits it has is: 14
• The sum of 12840743337984's digits is 63
• More coming soon!