34314678049964032

Names of 34314678049964032

• Cardinal: 34314678049964032 can be written as Thirty-four quadrillion, three hundred fourteen trillion, six hundred seventy-eight billion, forty-nine million, nine hundred sixty-four thousand and thirty-two.

Scientific notation

• Scientific notation: 3.4314678049964032 × 10¹⁶

Factors of 34314678049964032

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 27
• Sum of prime factors: 2037

Divisors of 34314678049964032

• Number of divisors d(n): 414
• Complete list of divisors:
  1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 128 136 224 238 256 272 289 448 476 512 544 578 896 952 1024 1088 1156 1792 1904 2011 2023 2048 2176 2312 3584 3808 4022 4046 4096 4352 4624 7168 7616 8044 8092 8192 8704 9248 14077 14336 15232 16088 16184 16384 17408 18496 28154 28672 30464 32176 32368 32768 34187 34816 36992 56308 57344 60928 64352 64736 65536 68374 69632 73984 112616 114688 121856 128704 129472 131072 136748 139264 147968 225232 229376 239309 243712 257408 258944 262144 273496 278528 295936 450464 458752 478618 487424 514816 517888 524288 546992 557056 581179 591872 900928 917504 957236 974848 1029632 1035776 1048576 1093984 1114112 1162358 1183744 1801856 1835008 1914472 1949696 2059264 2071552 2097152 2187968 2228224 2324716 2367488 3603712 3670016 3828944 3899392 4044121 4068253 4118528 4143104 4194304 4375936 4456448 4649432 4734976 7207424 7340032 7657888 7798784 8088242 8136506 8237056 8286208 8751872 8912896 9298864 9469952 14414848 14680064 15315776 15597568 16176484 16273012 16474112 16572416 17503744 17825792 18597728 18939904 28308847 28829696 29360128 30631552 31195136 32352968 32546024 32948224 33144832 35007488 35651584 37195456 37879808 56617694 57659392 61263104 62390272 64705936 65092048 65896448 66289664 68750057 70014976 71303168 74390912 75759616 113235388 115318784 122526208 124780544 129411872 130184096 131792896 132579328 137500114 140029952 148781824 151519232 226470776 230637568 245052416 249561088 258823744 260368192 263585792 265158656 275000228 280059904 297563648 303038464 452941552 461275136 481250399 490104832 499122176 517647488 520736384 527171584 530317312 550000456 560119808 595127296 606076928 905883104 922550272 962500798 980209664 1035294976 1041472768 1054343168 1060634624 1100000912 1120239616 1168750969 1190254592 1212153856 1811766208 1845100544 1925001596 1960419328 2070589952 2082945536 2108686336 2121269248 2200001824 2240479232 2337501938 2380509184 3623532416 3690201088 3850003192 3920838656 4141179904 4165891072 4217372672 4242538496 4400003648 4480958464 4675003876 4761018368 7247064832 7380402176 7700006384 7841677312 8181256783 8282359808 8331782144 8434745344 8485076992 8800007296 8961916928 9350007752 9522036736 14494129664 14760804352 15400012768 15683354624 16362513566 16564719616 16663564288 17600014592 17923833856 18700015504 19044073472 28988259328 29521608704 30800025536 31366709248 32725027132 33129439232 33327128576 35200029184 35847667712 37400031008 38088146944 57976518656 59043217408 61600051072 62733418496 65450054264 66258878464 66654257152 70400058368 71695335424 74800062016 76176293888 115953037312 123200102144 125466836992 130900108528 132517756928 133308514304 140800116736 143390670848 149600124032 152352587776 231906074624 246400204288 250933673984 261800217056 265035513856 266617028608 281600233472 299200248064 304705175552 463812149248 492800408576 501867347968 523600434112 530071027712 533234057216 563200466944 598400496128 609410351104 927624298496 985600817152 1003734695936 1047200868224 1060142055424 1066468114432 1126400933888 1196800992256 1218820702208 1855248596992 1971201634304 2094401736448 2120284110848 2132936228864 2252801867776 2393601984512 2437641404416 3710497193984 3942403268608 4188803472896 4240568221696 4265872457728 4505603735552 4787203969024 7420994387968 7884806537216 8377606945792 8481136443392 8531744915456 9011207471104 9574407938048 14841988775936 15769613074432 16755213891584 16962272886784 17063489830912 18022414942208 19148815876096 29683977551872 31539226148864 33510427783168 36044829884416 38297631752192 59367955103744 63078452297728 67020855566336 72089659768832 76595263504384 118735910207488 126156904595456 134041711132672 144179319537664 153190527008768 252313809190912 268083422265344 288358639075328 306381054017536 504627618381824 536166844530688 612762108035072 1009255236763648 1072333689061376 1225524216070144 2018510473527296 2144667378122752 2451048432140288 4289334756245504 4902096864280576 8578669512491008 17157339024982016 34314678049964032
• Sum of all divisors σ(n): 83360126554131336
• Sum of proper divisors (its aliquot sum) s(n): 49045448504167304
• 34314678049964032 is an abundant number, because the sum of its proper divisors (49045448504167304) is greater than itself. Its abundance is 14730770454203272

Bases of 34314678049964032

• Binary: 1111001111010010000010010010011110000000000000000000000₂
• Hexadecimal: 0x79E90493C00000
• Base-36: 9DVJDH07SHS

Squares and roots of 34314678049964032

• 34314678049964032 squared (34314678049964032²) is 1177497129672683341819796493697024
• 34314678049964032 cubed (34314678049964032³) is 40405434909474878537384350723293658362837905440768
• The square root of 34314678049964032 is 185242214.5461558447
• The cube root of 34314678049964032 is 324957.5583235567

Scales and comparisons

• 34,314,678,049,964,032 seconds is equal to 1,091,100,619 years, 37 weeks, 3 days, 6 hours, 53 minutes, 52 seconds.
• To count from 1 to 34,314,678,049,964,032 would take you about three billion, two hundred seventy-three million, three hundred one thousand, eight hundred fifty-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 34314678049964032 cubic inches would be around 27079.8 feet tall.

Recreational maths with 34314678049964032

• 34314678049964032 backwards is 23046994087641343
• The number of decimal digits it has is: 17
• The sum of 34314678049964032's digits is 73
• More coming soon!