12977251688448

Names of 12977251688448

• Cardinal: 12977251688448 can be written as Twelve trillion, nine hundred seventy-seven billion, two hundred fifty-one million, six hundred eighty-eight thousand, four hundred forty-eight.

Scientific notation

• Scientific notation: 1.2977251688448 × 10¹³

Factors of 12977251688448

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 2010

Divisors of 12977251688448

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 113 124 128 144 162 186 192 216 226 243 248 256 279 288 324 339 372 384 432 452 486 496 512 558 576 648 678 744 768 837 864 904 972 992 1017 1024 1116 1152 1296 1356 1488 1536 1674 1728 1808 1861 1944 1984 2034 2048 2232 2304 2511 2592 2712 2976 3051 3072 3348 3456 3503 3616 3722 3888 3968 4068 4096 4464 4608 5022 5184 5424 5583 5952 6102 6144 6696 6912 7006 7232 7444 7533 7776 7936 8136 8192 8928 9153 9216 10044 10368 10509 10848 11166 11904 12204 12288 13392 13824 14012 14464 14888 15066 15552 15872 16272 16749 17856 18306 18432 20088 20736 21018 21696 22332 23808 24408 24576 26784 27459 27648 28024 28928 29776 30132 31104 31527 31744 32544 33498 35712 36612 36864 40176 41472 42036 43392 44664 47616 48816 50247 53568 54918 55296 56048 57691 57856 59552 60264 62208 63054 63488 65088 66996 71424 73224 73728 80352 82944 84072 86784 89328 94581 95232 97632 100494 107136 109836 110592 112096 115382 115712 119104 120528 124416 126108 126976 130176 133992 142848 146448 150741 160704 165888 168144 173073 173568 178656 189162 190464 195264 200988 210293 214272 219672 221184 224192 230764 231424 238208 241056 248832 252216 253952 260352 267984 283743 285696 292896 301482 321408 331776 336288 346146 347136 357312 378324 380928 390528 401976 420586 428544 439344 448384 452223 461528 462848 476416 482112 497664 504432 519219 520704 535968 567486 571392 585792 602964 630879 642816 663552 672576 692292 694272 714624 756648 761856 781056 803952 841172 851229 857088 878688 896768 904446 923056 925696 952832 964224 995328 1008864 1038438 1041408 1071936 1134972 1142784 1171584 1205928 1261758 1285632 1345152 1384584 1388544 1429248 1513296 1557657 1562112 1607904 1682344 1702458 1714176 1757376 1793536 1808892 1846112 1892637 1905664 1928448 1990656 2017728 2076876 2082816 2143872 2269944 2285568 2343168 2411856 2523516 2571264 2690304 2769168 2777088 2858496 3026592 3115314 3124224 3215808 3364688 3404916 3428352 3514752 3587072 3617784 3692224 3785274 3811328 3856896 4035456 4153752 4165632 4287744 4539888 4672971 4686336 4823712 5047032 5142528 5380608 5538336 5677911 5716992 6053184 6230628 6248448 6431616 6519083 6729376 6809832 6856704 7029504 7174144 7235568 7384448 7570548 7622656 7713792 8070912 8307504 8331264 8575488 9079776 9345942 9372672 9647424 10094064 10285056 10761216 11076672 11355822 11433984 12106368 12461256 12496896 12863232 13038166 13458752 13619664 14018913 14059008 14348288 14471136 14768896 15141096 15245312 15427584 16141824 16615008 17033733 17150976 18159552 18691884 18745344 19294848 19557249 20188128 20570112 21522432 22153344 22711644 22867968 24212736 24922512 24993792 25726464 26076332 26917504 27239328 28037826 28118016 28696576 28942272 29537792 30282192 30855168 32283648 33230016 34067466 34301952 36319104 37383768 37490688 38589696 39114498 40376256 43044864 44306688 45423288 45735936 48425472 49845024 51101199 51452928 52152664 53835008 54478656 56075652 56236032 57884544 58671747 59075584 60564384 61710336 64567296 66460032 68134932 68603904 72638208 74767536 74981376 77179392 78228996 80752512 86089728 88613376 90846576 96850944 99690048 102202398 102905856 104305328 107670016 108957312 112151304 112472064 115769088 117343494 118151168 121128768 129134592 132920064 136269864 137207808 145276416 149535072 154358784 156457992 161505024 176015241 177226752 181693152 193701888 199380096 204404796 205811712 208610656 215340032 217914624 224302608 224944128 231538176 234686988 236302336 242257536 258269184 265840128 272539728 290552832 299070144 308717568 312915984 323010048 352030482 354453504 363386304 387403776 398760192 408809592 411623424 417221312 430680064 435829248 448605216 463076352 469373976 472604672 484515072 528045723 531680256 545079456 581105664 598140288 617435136 625831968 646020096 704060964 708907008 726772608 774807552 797520384 817619184 834442624 861360128 871658496 897210432 926152704 938747952 969030144 1056091446 1063360512 1090158912 1162211328 1196280576 1234870272 1251663936 1292040192 1408121928 1417814016 1453545216 1584137169 1595040768 1635238368 1668885248 1722720256 1743316992 1794420864 1852305408 1877495904 1938060288 2112182892 2126721024 2180317824 2324422656 2392561152 2503327872 2584080384 2816243856 2907090432 3168274338 3190081536 3270476736 3337770496 3486633984 3588841728 3704610816 3754991808 3876120576 4224365784 4253442048 4360635648 4785122304 5006655744 5168160768 5632487712 5814180864 6336548676 6380163072 6540953472 6675540992 6973267968 7177683456 7509983616 7752241152 8448731568 8721271296 9570244608 10013311488 11264975424 11628361728 12673097352 12760326144 13081906944 13351081984 14355366912 15019967232 15504482304 16897463136 17442542592 19140489216 20026622976 22529950848 23256723456 25346194704 26163813888 26702163968 28710733824 30039934464 33794926272 34885085184 38280978432 40053245952 45059901696 46513446912 50692389408 52327627776 53404327936 57421467648 60079868928 67589852544 69770170368 80106491904 90119803392 101384778816 104655255552 114842935296 120159737856 135179705088 139540340736 160212983808 180239606784 202769557632 209310511104 240319475712 270359410176 360479213568 405539115264 418621022208 480638951424 540718820352 720958427136 811078230528 1081437640704 1441916854272 1622156461056 2162875281408 3244312922112 4325750562816 6488625844224 12977251688448
• Sum of all divisors σ(n): 40506929229312
• Sum of proper divisors (its aliquot sum) s(n): 27529677540864
• 12977251688448 is an abundant number, because the sum of its proper divisors (27529677540864) is greater than itself. Its abundance is 14552425852416

Bases of 12977251688448

• Binary: 10111100110110000000011110100010000000000000₂
• Hexadecimal: 0xBCD807A2000
• Base-36: 4LLO0LC00

Squares and roots of 12977251688448

• 12977251688448 squared (12977251688448²) is 168409061385326466856648704
• 12977251688448 cubed (12977251688448³) is 2185486776212670769947146705158790971392
• The square root of 12977251688448 is 3602395.2709895675
• The cube root of 12977251688448 is 23499.6237685039

Scales and comparisons

• 12,977,251,688,448 seconds is equal to 412,636 years, 24 weeks, 7 hours, 40 minutes, 48 seconds.
• To count from 1 to 12,977,251,688,448 would take you about one million, thirty-one thousand, five hundred ninety-one 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 12977251688448 cubic inches would be around 1958.3 feet tall.

Recreational maths with 12977251688448

• 12977251688448 backwards is 84488615277921
• 12977251688448 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 12977251688448's digits is 72
• More coming soon!