420956842033152

Names of 420956842033152

• Cardinal: 420956842033152 can be written as Four hundred twenty trillion, nine hundred fifty-six billion, eight hundred forty-two million, thirty-three thousand, one hundred fifty-two.

Scientific notation

• Scientific notation: 4.20956842033152 × 10¹⁴

Factors of 420956842033152

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 23
• Sum of prime factors: 234041

Divisors of 420956842033152

• Number of divisors d(n): 408
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 128 144 162 192 216 226 243 256 288 324 339 384 432 452 486 512 576 648 678 768 864 904 972 1017 1024 1152 1296 1356 1536 1728 1808 1944 2034 2048 2304 2592 2712 3051 3072 3456 3616 3888 4068 4096 4608 5184 5424 6102 6144 6912 7232 7776 8136 8192 9153 9216 10368 10848 12204 12288 13824 14464 15552 16272 16384 18306 18432 20736 21696 24408 24576 27459 27648 28928 31104 32544 32768 36612 36864 41472 43392 48816 49152 54918 55296 57856 62208 65088 65536 73224 73728 82944 86784 97632 98304 109836 110592 115712 124416 130176 146448 147456 165888 173568 195264 196608 219672 221184 231424 233923 248832 260352 292896 294912 331776 347136 390528 439344 442368 462848 467846 497664 520704 585792 589824 663552 694272 701769 781056 878688 884736 925696 935692 995328 1041408 1171584 1327104 1388544 1403538 1562112 1757376 1769472 1851392 1871384 1990656 2082816 2105307 2343168 2654208 2777088 2807076 3124224 3514752 3702784 3742768 3981312 4165632 4210614 4686336 5308416 5554176 5614152 6248448 6315921 7029504 7405568 7485536 7962624 8331264 8421228 9372672 11108352 11228304 12496896 12631842 14059008 14971072 15925248 16662528 16842456 18745344 18947763 22216704 22456608 24993792 25263684 26433299 28118016 29942144 33325056 33684912 37490688 37895526 44913216 49987584 50527368 52866598 56236032 56843289 59884288 66650112 67369824 74981376 75791052 79299897 89826432 99975168 101054736 105733196 112472064 113686578 119768576 134739648 149962752 151582104 158599794 179652864 199950336 202109472 211466392 224944128 227373156 237899691 239537152 269479296 299925504 303164208 317199588 359305728 404218944 422932784 449888256 454746312 475799382 479074304 538958592 599851008 606328416 634399176 713699073 718611456 808437888 845865568 899776512 909492624 951598764 958148608 1077917184 1212656832 1268798352 1427398146 1437222912 1616875776 1691731136 1799553024 1818985248 1903197528 1916297216 2141097219 2155834368 2425313664 2537596704 2854796292 2874445824 3233751552 3383462272 3637970496 3806395056 3832594432 4282194438 4311668736 4850627328 5075193408 5709592584 5748891648 6423291657 6467503104 6766924544 7275940992 7612790112 7665188864 8564388876 8623337472 9701254656 10150386816 11419185168 11497783296 12846583314 12935006208 13533849088 14551881984 15225580224 15330377728 17128777752 17246674944 19402509312 20300773632 22838370336 22995566592 25693166628 25870012416 27067698176 29103763968 30451160448 34257555504 34493349888 38805018624 40601547264 45676740672 45991133184 51386333256 51740024832 54135396352 58207527936 60902320896 68515111008 68986699776 77610037248 81203094528 91353481344 102772666512 103480049664 108270792704 116415055872 121804641792 137030222016 137973399552 155220074496 162406189056 182706962688 205545333024 206960099328 216541585408 232830111744 243609283584 274060444032 310440148992 324812378112 365413925376 411090666048 413920198656 433083170816 465660223488 487218567168 548120888064 620880297984 649624756224 730827850752 822181332096 866166341632 931320446976 974437134336 1096241776128 1241760595968 1299249512448 1461655701504 1644362664192 1732332683264 1862640893952 1948874268672 2192483552256 2598499024896 2923311403008 3288725328384 3725281787904 3897748537344 4384967104512 5196998049792 5846622806016 6577450656768 7795497074688 8769934209024 11693245612032 13154901313536 15590994149376 17539868418048 23386491224064 26309802627072 35079736836096 46772982448128 52619605254144 70159473672192 105239210508288 140318947344384 210478421016576 420956842033152
• Sum of all divisors σ(n): 1272294440455584
• Sum of proper divisors (its aliquot sum) s(n): 851337598422432
• 420956842033152 is an abundant number, because the sum of its proper divisors (851337598422432) is greater than itself. Its abundance is 430380756389280

Bases of 420956842033152

• Binary: 1011111101101101110100111000010010000000000000000₂
• Hexadecimal: 0x17EDBA7090000
• Base-36: 457SWIYO00

Squares and roots of 420956842033152

• 420956842033152 squared (420956842033152²) is 177204662854524086453067055104
• 420956842033152 cubed (420956842033152³) is 74595515268789853829171271244911900578807808
• The square root of 420956842033152 is 20517232.8064276739
• The cube root of 420956842033152 is 74945.5511194929

Scales and comparisons

• 420,956,842,033,152 seconds is equal to 13,385,125 years, 24 weeks, 3 days, 16 hours, 19 minutes, 12 seconds.
• To count from 1 to 420,956,842,033,152 would take you about thirty-three million, four hundred sixty-two thousand, eight hundred thirteen 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 420956842033152 cubic inches would be around 6245.5 feet tall.

Recreational maths with 420956842033152

• 420956842033152 backwards is 251330248659024
• 420956842033152 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 420956842033152's digits is 54
• More coming soon!