42672417201214311

Names of 42672417201214311

• Cardinal: 42672417201214311 can be written as Forty-two quadrillion, six hundred seventy-two trillion, four hundred seventeen billion, two hundred one million, two hundred fourteen thousand, three hundred eleven.

Scientific notation

• Scientific notation: 4.2672417201214311 × 10¹⁶

Factors of 42672417201214311

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 9
• Sum of prime factors: 336837

Divisors of 42672417201214311

• Number of divisors d(n): 256
• Complete list of divisors:
  1 3 7 21 43 49 73 129 147 163 219 241 301 343 489 511 723 903 1029 1141 1533 1687 2107 3139 3423 3577 5061 6321 7009 7987 9417 10363 10731 11809 11899 14749 17593 21027 21973 23961 25039 31089 35427 35697 39283 44247 49063 52779 55909 65919 72541 75117 82663 83293 117849 123151 147189 153811 167727 217623 247989 249879 274981 336307 343441 369453 461433 507787 511657 583051 756499 824943 862057 1008921 1030323 1076677 1523361 1534971 1689169 1749153 1924867 2269497 2354149 2404087 2586171 2867659 3230031 3554509 3581599 4081357 5067507 5295493 5774601 6034399 7062447 7212261 8602977 10663527 10744797 11824183 12244071 13474069 14461201 15886479 16479043 18103197 20073613 24550411 25071193 35472549 37068451 40422207 43383603 49437129 54818041 60220839 73651233 75213579 81049987 82769281 101228407 111205353 115353301 123309337 140515291 164454123 171852877 175498351 243149961 248307843 259479157 303685221 346059903 369928011 383726287 421545873 515558631 526495053 567349909 579384967 708598849 778437471 863165359 983607037 1055667673 1151178861 1202970139 1702049727 1738154901 2125796547 2357175763 2589496077 2686084009 2950821111 3167003019 3485149441 3608910417 3971449363 4001716993 4960191943 5916649051 6042157513 7071527289 7389673711 8058252027 8420790973 10455448323 11914348089 12005150979 13211147881 14880575829 16500230341 17749947153 18126472539 18802588063 22169021133 24396046087 25262372919 27800145541 28012018951 39633443643 41416543357 42295102591 49500691023 51727715977 56407764189 73188138261 83400436623 84036056853 92478035167 115501612387 124249630071 126885307773 155183147931 170772322609 172073830699 196084132657 254415909193 277434105501 289915803499 346504837161 362094011839 512316967827 516221492097 568079358883 588252397971 647346246169 763247727579 808511286709 869747410497 964413795313 1086282035517 1195406258263 1204516814893 1372588928599 1704238076649 1780911364351 1942038738507 2029410624493 2425533860127 2893241385939 3586218774789 3613550444679 3976555512181 4117766785797 4531423723183 5342734093053 6088231873479 6750896567191 8431617704251 11929666536543 12466379550457 13594271169549 20252689701573 25294853112753 27835888585267 37399138651371 41469793198459 47256275970337 59021323929757 83507665755801 87264656853199 124409379595377 141768827911011 177063971789271 194851220096869 261793970559597 290288552389213 330793931792359 584553660290607 870865657167639 992381795377077 2032019866724491 6096059600173473 14224139067071437 42672417201214311
• Sum of all divisors σ(n): 69534572863078400
• Sum of proper divisors (its aliquot sum) s(n): 26862155661864089
• 42672417201214311 is a deficient number, because the sum of its proper divisors (26862155661864089) is less than itself. Its deficiency is 15810261539350222

Bases of 42672417201214311

• Binary: 10010111100110100101011001011100111111000101001101100111₂
• Hexadecimal: 0x979A565CFC5367
• Base-36: BO63XU0FV53

Squares and roots of 42672417201214311

• 42672417201214311 squared (42672417201214311²) is 1820935189794491011206572951204721
• 42672417201214311 cubed (42672417201214311³) is 77703706115282884323111294530352361928551555962231
• The square root of 42672417201214311 is 206573031.1565725925
• The cube root of 42672417201214311 is 349447.8837975541

Scales and comparisons

• 42,672,417,201,214,311 seconds is equal to 1,356,850,872 years, 28 weeks, 2 days, 15 hours, 31 minutes, 51 seconds.
• To count from 1 to 42,672,417,201,214,311 would take you about four billion, seventy million, five hundred fifty-two thousand, six hundred seventeen 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 42672417201214311 cubic inches would be around 29120.7 feet tall.

Recreational maths with 42672417201214311

• 42672417201214311 backwards is 11341210271427624
• The number of decimal digits it has is: 17
• The sum of 42672417201214311's digits is 48
• More coming soon!