420956992438272

Names of 420956992438272

• Cardinal: 420956992438272 can be written as Four hundred twenty trillion, nine hundred fifty-six billion, nine hundred ninety-two million, four hundred thirty-eight thousand, two hundred seventy-two.

Scientific notation

• Scientific notation: 4.20956992438272 × 10¹⁴

Factors of 420956992438272

• Number of distinct prime factors ω(n): 3
• Total number of prime factors Ω(n): 33
• Sum of prime factors: 246

Divisors of 420956992438272

• Number of divisors d(n): 348
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 241 256 288 384 432 482 512 576 723 768 864 964 1024 1152 1446 1536 1728 1928 2048 2169 2304 2892 3072 3456 3856 4096 4338 4608 5784 6144 6507 6912 7712 8192 8676 9216 11568 12288 13014 13824 15424 16384 17352 18432 23136 24576 26028 27648 30848 32768 34704 36864 46272 49152 52056 55296 58081 61696 65536 69408 73728 92544 98304 104112 110592 116162 123392 131072 138816 147456 174243 185088 196608 208224 221184 232324 246784 262144 277632 294912 348486 370176 393216 416448 442368 464648 493568 522729 524288 555264 589824 696972 740352 786432 832896 884736 929296 987136 1045458 1048576 1110528 1179648 1393944 1480704 1568187 1572864 1665792 1769472 1858592 1974272 2090916 2097152 2221056 2359296 2787888 2961408 3136374 3145728 3331584 3538944 3717184 3948544 4181832 4194304 4442112 4718592 5575776 5922816 6272748 6291456 6663168 7077888 7434368 7897088 8363664 8388608 8884224 9437184 11151552 11845632 12545496 12582912 13326336 14155776 14868736 15794176 16727328 16777216 17768448 18874368 22303104 23691264 25090992 25165824 26652672 28311552 29737472 31588352 33454656 33554432 35536896 37748736 44606208 47382528 50181984 50331648 53305344 56623104 59474944 63176704 66909312 67108864 71073792 75497472 89212416 94765056 100363968 100663296 106610688 113246208 118949888 126353408 133818624 134217728 142147584 150994944 178424832 189530112 200727936 201326592 213221376 226492416 237899776 252706816 267637248 268435456 284295168 301989888 356849664 379060224 401455872 402653184 426442752 452984832 475799552 505413632 535274496 568590336 603979776 713699328 758120448 802911744 805306368 852885504 905969664 951599104 1010827264 1070548992 1137180672 1207959552 1427398656 1516240896 1605823488 1705771008 1811939328 1903198208 2021654528 2141097984 2274361344 2415919104 2854797312 3032481792 3211646976 3411542016 3623878656 3806396416 4043309056 4282195968 4548722688 5709594624 6064963584 6423293952 6823084032 7247757312 7612792832 8086618112 8564391936 9097445376 11419189248 12129927168 12846587904 13646168064 15225585664 16173236224 17128783872 18194890752 22838378496 24259854336 25693175808 27292336128 30451171328 32346472448 34257567744 36389781504 45676756992 48519708672 51386351616 54584672256 60902342656 64692944896 68515135488 72779563008 91353513984 97039417344 102772703232 109169344512 121804685312 137030270976 145559126016 182707027968 194078834688 205545406464 218338689024 243609370624 274060541952 291118252032 365414055936 411090812928 436677378048 487218741248 548121083904 582236504064 730828111872 822181625856 873354756096 974437482496 1096242167808 1461656223744 1644363251712 1746709512192 1948874964992 2192484335616 2923312447488 3288726503424 3897749929984 4384968671232 5846624894976 6577453006848 7795499859968 8769937342464 11693249789952 13154906013696 15590999719936 17539874684928 23386499579904 26309812027392 35079749369856 46772999159808 52619624054784 70159498739712 105239248109568 140318997479424 210478496219136 420956992438272
• Sum of all divisors σ(n): 1252476885690120
• Sum of proper divisors (its aliquot sum) s(n): 831519893251848
• 420956992438272 is an abundant number, because the sum of its proper divisors (831519893251848) is greater than itself. Its abundance is 410562900813576

Bases of 420956992438272

• Binary: 1011111101101101110110000000000000000000000000000₂
• Hexadecimal: 0x17EDBB0000000
• Base-36: 457SZ0IDC0

Squares and roots of 420956992438272

• 420956992438272 squared (420956992438272²) is 177204789482675389787730345984
• 420956992438272 cubed (420956992438272³) is 74595595226284165693621593385592074323099648
• The square root of 420956992438272 is 20517236.4717637351
• The cube root of 420956992438272 is 74945.5600453433

Scales and comparisons

• 420,956,992,438,272 seconds is equal to 13,385,130 years, 13 weeks, 1 day, 11 hours, 31 minutes, 12 seconds.
• To count from 1 to 420,956,992,438,272 would take you about thirty-three million, four hundred sixty-two thousand, eight hundred twenty-five 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 420956992438272 cubic inches would be around 6245.5 feet tall.

Recreational maths with 420956992438272

• 420956992438272 backwards is 272834299659024
• 420956992438272 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 420956992438272's digits is 72
• More coming soon!