20964484646409216

Names of 20964484646409216

• Cardinal: 20964484646409216 can be written as Twenty quadrillion, nine hundred sixty-four trillion, four hundred eighty-four billion, six hundred forty-six million, four hundred nine thousand, two hundred sixteen.

Scientific notation

• Scientific notation: 2.0964484646409216 × 10¹⁶

Factors of 20964484646409216

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 10515218122

Divisors of 20964484646409216

• Number of divisors d(n): 176
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 64 66 88 96 118 128 132 176 177 192 236 256 264 352 354 384 472 512 528 649 704 708 768 944 1024 1056 1298 1408 1416 1536 1888 1947 2112 2596 2816 2832 3072 3776 3894 4224 5192 5632 5664 7552 7788 8448 10384 11264 11328 15104 15576 16896 20768 22656 30208 31152 33792 41536 45312 60416 62304 83072 90624 124608 166144 181248 249216 332288 498432 664576 996864 1993728 10515218047 21030436094 31545654141 42060872188 63091308282 84121744376 115667398517 126182616564 168243488752 231334797034 252365233128 336486977504 347002195551 462669594068 504730466256 620397864773 672973955008 694004391102 925339188136 1009460932512 1240795729546 1345947910016 1388008782204 1850678376272 1861193594319 2018921865024 2481591459092 2691895820032 2776017564408 3701356752544 3722387188638 4037843730048 4963182918184 5383791640064 5552035128816 6824376512503 7402713505088 7444774377276 8075687460096 9926365836368 10767583280128 11104070257632 13648753025006 14805427010176 14889548754552 16151374920192 19852731672736 20473129537509 22208140515264 27297506050012 29610854020352 29779097509104 32302749840384 39705463345472 40946259075018 44416281030528 54595012100024 59221708040704 59558195018208 79410926690944 81892518150036 88832562061056 109190024200048 118443416081408 119116390036416 158821853381888 163785036300072 177665124122112 218380048400096 238232780072832 317643706763776 327570072600144 355330248244224 436760096800192 476465560145664 635287413527552 655140145200288 873520193600384 952931120291328 1310280290400576 1747040387200768 1905862240582656 2620560580801152 3494080774401536 5241121161602304 6988161548803072 10482242323204608 20964484646409216
• Sum of all divisors σ(n): 61990995871457280
• Sum of proper divisors (its aliquot sum) s(n): 41026511225048064
• 20964484646409216 is an abundant number, because the sum of its proper divisors (41026511225048064) is greater than itself. Its abundance is 20062026578638848

Bases of 20964484646409216

• Binary: 1001010011110110001011001110100001111111001010000000000₂
• Hexadecimal: 0x4A7B16743F9400
• Base-36: 5QFAFAFIOLC

Squares and roots of 20964484646409216

• 20964484646409216 squared (20964484646409216²) is 439509616489527750413962529734656
• 20964484646409216 cubed (20964484646409216³) is 9214092606843907310565816186554914256659672989696
• The square root of 20964484646409216 is 144791175.9963611043
• The cube root of 20964484646409216 is 275736.7994527281

Scales and comparisons

• 20,964,484,646,409,216 seconds is equal to 666,605,764 years, 18 weeks, 7 hours, 53 minutes, 36 seconds.
• To count from 1 to 20,964,484,646,409,216 would take you about one billion, nine hundred ninety-nine million, eight hundred seventeen thousand, two hundred ninety-three 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 20964484646409216 cubic inches would be around 22978.1 feet tall.

Recreational maths with 20964484646409216

• 20964484646409216 backwards is 61290464648446902
• The number of decimal digits it has is: 17
• The sum of 20964484646409216's digits is 75
• More coming soon!