34294861827072

Names of 34294861827072

• Cardinal: 34294861827072 can be written as Thirty-four trillion, two hundred ninety-four billion, eight hundred sixty-one million, eight hundred twenty-seven thousand and seventy-two.

Scientific notation

• Scientific notation: 3.4294861827072 × 10¹³

Factors of 34294861827072

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 140920

Divisors of 34294861827072

• Number of divisors d(n): 660
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 49 56 63 64 66 72 77 84 88 96 98 99 112 126 128 132 144 147 154 168 176 192 196 198 224 231 252 256 264 288 294 308 336 343 352 384 392 396 441 448 462 504 512 528 539 576 588 616 672 686 693 704 768 784 792 882 896 924 1008 1024 1029 1056 1078 1152 1176 1232 1344 1372 1386 1408 1536 1568 1584 1617 1764 1792 1848 2016 2058 2112 2156 2304 2352 2401 2464 2688 2744 2772 2816 3072 3087 3136 3168 3234 3528 3584 3696 3773 4032 4116 4224 4312 4608 4704 4802 4851 4928 5376 5488 5544 5632 6174 6272 6336 6468 7056 7168 7203 7392 7546 8064 8232 8448 8624 9216 9408 9604 9702 9856 10752 10976 11088 11264 11319 12348 12544 12672 12936 14112 14406 14784 15092 16128 16464 16896 17248 18816 19208 19404 19712 21504 21609 21952 22176 22638 24696 25088 25344 25872 26411 28224 28812 29568 30184 32256 32928 33792 33957 34496 37632 38416 38808 39424 43218 43904 44352 45276 49392 50176 50688 51744 52822 56448 57624 59136 60368 64512 65856 67914 68992 75264 76832 77616 78848 79233 86436 87808 88704 90552 98784 101376 103488 105644 112896 115248 118272 120736 131712 135828 137984 140897 150528 153664 155232 158466 172872 175616 177408 181104 197568 206976 211288 225792 230496 236544 237699 241472 263424 271656 275968 281794 307328 310464 316932 345744 351232 354816 362208 395136 413952 422576 422691 451584 460992 475398 482944 526848 543312 551936 563588 614656 620928 633864 691488 709632 724416 790272 827904 845152 845382 921984 950796 965888 986279 1053696 1086624 1127176 1229312 1241856 1267728 1268073 1382976 1448832 1549867 1580544 1655808 1690304 1690764 1843968 1901592 1931776 1972558 2173248 2254352 2458624 2483712 2535456 2536146 2765952 2897664 2958837 3099734 3161088 3380608 3381528 3687936 3803184 3863552 3945116 4346496 4508704 4649601 4967424 5070912 5072292 5531904 5795328 5917674 6199468 6761216 6763056 6903953 7375872 7606368 7890232 8692992 8876511 9017408 9299202 10141824 10144584 10849069 11063808 11590656 11835348 12398936 13522432 13526112 13807906 13948803 15212736 15780464 17385984 17753022 18034816 18598404 20283648 20289168 20711859 21698138 22127616 23670696 24797872 27044864 27052224 27615812 27897606 30425472 31560928 32547207 34771968 35506044 36069632 37196808 40567296 40578336 41423718 43396276 47341392 48327671 49595744 54104448 55231624 55795212 60850944 62135577 63121856 65094414 71012088 72139264 74393616 75943483 81134592 81156672 82847436 86792552 94682784 96655342 97641621 99191488 108208896 110463248 111590424 121701888 124271154 126243712 130188828 142024176 144278528 144983013 148787232 151886966 162313344 165694872 173585104 189365568 193310684 195283242 198382976 216417792 220926496 223180848 227830449 243403776 248542308 252487424 260377656 284048352 289966026 297574464 303773932 324626688 331389744 338293697 347170208 378731136 386621368 390566484 396765952 432835584 434949039 441852992 446361696 455660898 497084616 504974848 520755312 531604381 568096704 579932052 595148928 607547864 649253376 662779488 676587394 683491347 694340416 757462272 773242736 781132968 793531904 869898078 883705984 892723392 911321796 994169232 1009949696 1014881091 1041510624 1063208762 1136193408 1159864104 1190297856 1215095728 1298506752 1325558976 1353174788 1366982694 1388680832 1514924544 1546485472 1562265936 1587063808 1594813143 1739796156 1767411968 1785446784 1822643592 1988338464 2029762182 2083021248 2126417524 2272386816 2319728208 2380595712 2430191456 2651117952 2706349576 2733965388 2777361664 3029849088 3044643273 3092970944 3124531872 3189626286 3479592312 3534823936 3570893568 3645287184 3721230667 3976676928 4059524364 4166042496 4252835048 4544773632 4639456416 4761191424 4784439429 4860382912 5302235904 5412699152 5467930776 5554723328 6089286546 6185941888 6249063744 6379252572 6959184624 7069647872 7141787136 7290574368 7442461334 7953353856 8119048728 8332084992 8505670096 9089547264 9278912832 9568878858 9720765824 10604471808 10825398304 10935861552 11109446656 11163692001 12178573092 12371883776 12498127488 12758505144 13918369248 14283574272 14581148736 14884922668 15906707712 16238097456 16664169984 17011340192 18557825664 19137757716 19441531648 21208943616 21650796608 21871723104 22327384002 24357146184 24743767552 24996254976 25517010288 27836738496 29162297472 29769845336 31813415424 32476194912 33328339968 33491076003 34022680384 37115651328 38275515432 38883063296 43301593216 43743446208 44654768004 48714292368 49487535104 49992509952 51034020576 55673476992 58324594944 59539690672 63626830848 64952389824 66982152006 68045360768 74231302656 76551030864 77766126592 86603186432 87486892416 89309536008 97428584736 99985019904 102068041152 111346953984 116649189888 119079381344 129904779648 133964304012 136090721536 148462605312 153102061728 173206372864 174973784832 178619072016 194857169472 204136082304 222693907968 233298379776 238158762688 259809559296 267928608024 272181443072 306204123456 346412745728 349947569664 357238144032 389714338944 408272164608 445387815936 476317525376 519619118592 535857216048 544362886144 612408246912 699895139328 714476288064 779428677888 816544329216 952635050752 1039238237184 1071714432096 1224816493824 1428952576128 1558857355776 1633088658432 1905270101504 2143428864192 2449632987648 2857905152256 3117714711552 3810540203008 4286857728384 4899265975296 5715810304512 8573715456768 11431620609024 17147430913536 34294861827072
• Sum of all divisors σ(n): 126026065620936
• Sum of proper divisors (its aliquot sum) s(n): 91731203793864
• 34294861827072 is an abundant number, because the sum of its proper divisors (91731203793864) is greater than itself. Its abundance is 57436341966792

Bases of 34294861827072

• Binary: 111110011000011100101000011101000110000000000₂
• Hexadecimal: 0x1F30E50E8C00
• Base-36: C5MUB9J40

Squares and roots of 34294861827072

• 34294861827072 squared (34294861827072²) is 1176137547737960238032093184
• 34294861827072 cubed (34294861827072³) is 40335474689304644669567799274006797877248
• The square root of 34294861827072 is 5856181.5056461493
• The cube root of 34294861827072 is 32489.4993538561

Scales and comparisons

• 34,294,861,827,072 seconds is equal to 1,090,470 years, 27 weeks, 2 days, 3 hours, 31 minutes, 12 seconds.
• To count from 1 to 34,294,861,827,072 would take you about two million, seven hundred twenty-six thousand, one hundred seventy-six 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 34294861827072 cubic inches would be around 2707.5 feet tall.

Recreational maths with 34294861827072

• 34294861827072 backwards is 27072816849243
• 34294861827072 is a Harshad number.
• The number of decimal digits it has is: 14
• The sum of 34294861827072's digits is 63
• More coming soon!