12348866388141072

Names of 12348866388141072

• Cardinal: 12348866388141072 can be written as Twelve quadrillion, three hundred forty-eight trillion, eight hundred sixty-six billion, three hundred eighty-eight million, one hundred forty-one thousand and seventy-two.

Scientific notation

• Scientific notation: 1.2348866388141072 × 10¹⁶

Factors of 12348866388141072

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 293942

Divisors of 12348866388141072

• Number of divisors d(n): 480
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 31 36 41 48 62 72 82 93 123 124 144 164 186 211 246 248 279 328 369 372 422 492 496 558 633 656 738 744 844 984 1093 1116 1266 1271 1476 1488 1688 1899 1968 2186 2232 2532 2542 2952 3279 3376 3798 3813 4372 4464 5064 5084 5904 6541 6558 7596 7626 8651 8744 9837 10128 10168 11439 13082 13116 15192 15252 17302 17488 19623 19674 20336 22878 25953 26164 26232 30384 30504 33883 34604 39246 39348 44813 45756 51906 52328 52464 58869 61008 67766 69208 77859 78492 78696 89626 91512 101649 103812 104656 117738 134439 135532 138416 155718 156984 157392 179252 183024 203298 207624 230623 235476 268181 268878 271064 292561 304947 311436 313968 358504 403317 406596 415248 461246 470952 536362 537756 542128 585122 609894 622872 691869 717008 804543 806634 813192 877683 922492 941904 1072724 1075512 1170244 1219788 1245744 1383738 1389203 1609086 1613268 1626384 1755366 1844984 2075607 2145448 2151024 2340488 2413629 2439576 2633049 2767476 2778406 3218172 3226536 3510732 3689968 4151214 4167609 4290896 4680976 4827258 4879152 5266098 5534952 5556812 6436344 6453072 7021464 7149313 8302428 8335218 9069391 9455543 9654516 10532196 11069904 11113624 11995001 12502827 12872688 14042928 14298626 16604856 16670436 18138782 18911086 19309032 21064392 21447939 22227248 23990002 25005654 27208173 28366629 28597252 33209712 33340872 35985003 36277564 37822172 38618064 42128784 42895878 47980004 50011308 54416346 56733258 57194504 61730371 64343817 66681744 71970006 72555128 75644344 81624519 85099887 85791756 95960008 100022616 107955009 108832692 113466516 114389008 123460742 128687634 143940012 145110256 151288688 163249038 170199774 171583512 185191113 191920016 200045232 215910018 217665384 226933032 246921484 257375268 287880024 293121833 319769173 326498076 340399548 343167024 370382226 371845031 431820036 435330768 453866064 493842968 514750536 555573339 575760048 586243666 639538346 652996152 680799096 740764452 743690062 863640072 879365499 959307519 987685936 1029501072 1111146678 1115535093 1172487332 1279076692 1305992304 1361598192 1481528904 1487380124 1727280144 1758730998 1913641501 1918615038 2222293356 2231070186 2344974664 2530945211 2558153384 2638096497 2877922557 2963057808 2974760248 3346605279 3517461996 3827283002 3837230076 4444586712 4462140372 4689949328 5061890422 5116306768 5276192994 5740924503 5755845114 5949520496 6693210558 7034923992 7592835633 7654566004 7674460152 8889173424 8924280744 9912844363 10123780844 10552385988 11481849006 11511690228 13110536093 13386421116 14069847984 15185671266 15309132008 15348920304 17222773509 17848561488 19825688726 20247561688 21104771976 22778506899 22963698012 23023380456 26221072186 26772842232 29738533089 30371342532 30618264016 34445547018 39331608279 39651377452 40495123376 42209543952 45557013798 45927396024 46046760912 52442144372 53545684464 59477066178 60742685064 67471295503 68891094036 78459301541 78663216558 79302754904 89215599267 91114027596 91854792048 104884288744 117994824837 118954132356 121485370128 134942591006 137782188072 156918603082 157326433116 158605509808 178431198534 182228055192 202413886509 209768577488 235377904623 235989649674 237908264712 269885182012 275564376144 313837206164 314652866232 356862397068 364456110384 404827773018 406426618883 470755809246 471979299348 475816529424 539770364024 607241659527 627674412328 629305732464 706133713869 713724794136 809655546036 812853237766 941511618492 943958598696 1079540728048 1214483319054 1219279856649 1255348824656 1412267427738 1427449588272 1619311092072 1625706475532 1883023236984 1887917197392 2091610160593 2428966638108 2438559713298 2766323115623 2824534855476 3238622184144 3251412951064 3657839569947 3766046473968 4183220321186 4857933276216 4877119426596 5532646231246 5649069710952 6274830481779 6502825902128 7315679139894 8298969346869 8366440642372 9715866552432 9754238853192 11065292462492 11298139421904 12549660963558 14631358279788 16597938693738 16732881284744 18824491445337 19508477706384 22130584924984 24896908040607 25099321927116 29262716559576 33195877387476 33465762569488 37648982890674 44261169849968 49793816081214 50198643854232 58525433119152 66391754774952 75297965781348 85756016584313 99587632162428 100397287708464 132783509549904 150595931562696 171512033168626 199175264324856 257268049752939 301191863125392 343024066337252 398350528649712 514536099505878 686048132674504 771804149258817 1029072199011756 1372096265349008 1543608298517634 2058144398023512 3087216597035268 4116288796047024 6174433194070536 12348866388141072
• Sum of all divisors σ(n): 36751529166922752
• Sum of proper divisors (its aliquot sum) s(n): 24402662778781680
• 12348866388141072 is an abundant number, because the sum of its proper divisors (24402662778781680) is greater than itself. Its abundance is 12053796390640608

Bases of 12348866388141072

• Binary: 101011110111110011101010000010011100011010010000010000₂
• Hexadecimal: 0x2BDF3A8271A410
• Base-36: 3DLB2WH7TW0

Squares and roots of 12348866388141072

• 12348866388141072 squared (12348866388141072²) is 152494501072160325102195773309184
• 12348866388141072 cubed (12348866388141072³) is 1883134218666343305456909851396266791439665205248
• The square root of 12348866388141072 is 111125453.3765377805
• The cube root of 12348866388141072 is 231140.3130985617

Scales and comparisons

• 12,348,866,388,141,072 seconds is equal to 392,655,753 years, 30 weeks, 5 days, 4 hours, 31 minutes, 12 seconds.
• To count from 1 to 12,348,866,388,141,072 would take you about one billion, one hundred seventy-seven million, nine hundred sixty-seven thousand, two hundred sixty 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 12348866388141072 cubic inches would be around 19261.7 feet tall.

Recreational maths with 12348866388141072

• 12348866388141072 backwards is 27014188366884321
• 12348866388141072 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 12348866388141072's digits is 72
• More coming soon!