2198438691434400

Names of 2198438691434400

• Cardinal: 2198438691434400 can be written as Two quadrillion, one hundred ninety-eight trillion, four hundred thirty-eight billion, six hundred ninety-one million, four hundred thirty-four thousand, four hundred.

Scientific notation

• Scientific notation: 2.1984386914344 × 10¹⁵

Factors of 2198438691434400

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 12548166130

Divisors of 2198438691434400

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 73 75 80 96 100 120 146 150 160 200 219 240 292 300 365 400 438 480 584 600 730 800 876 1095 1168 1200 1460 1752 1825 2190 2336 2400 2920 3504 3650 4380 5475 5840 7008 7300 8760 10950 11680 14600 17520 21900 29200 35040 43800 58400 87600 175200 12548166047 25096332094 37644498141 50192664188 62740830235 75288996282 100385328376 125481660470 150577992564 188222490705 200770656752 250963320940 301155985128 313704151175 376444981410 401541313504 501926641880 602311970256 627408302350 752889962820 916016121431 941112453525 1003853283760 1204623940512 1254816604700 1505779925640 1832032242862 1882224907050 2007706567520 2509633209400 2748048364293 3011559851280 3664064485724 3764449814100 4580080607155 5019266418800 5496096728586 6023119702560 7328128971448 7528899628200 9160161214310 10038532837600 10992193457172 13740241821465 14656257942896 15057799256400 18320322428620 21984386914344 22900403035775 27480483642930 29312515885792 30115598512800 36640644857240 43968773828688 45800806071550 54960967285860 68701209107325 73281289714480 87937547657376 91601612143100 109921934571720 137402418214650 146562579428960 183203224286200 219843869143440 274804836429300 366406448572400 439687738286880 549609672858600 732812897144800 1099219345717200 2198438691434400
• Sum of all divisors σ(n): 7253944214356224
• Sum of proper divisors (its aliquot sum) s(n): 5055505522921824
• 2198438691434400 is an abundant number, because the sum of its proper divisors (5055505522921824) is greater than itself. Its abundance is 2857066831487424

Bases of 2198438691434400

• Binary: 111110011110111011111100101010000110110111110100000₂
• Hexadecimal: 0x7CF77E5436FA0
• Base-36: LNA4SIVI5C

Squares and roots of 2198438691434400

• 2198438691434400 squared (2198438691434400²) is 4833132679995797015929503360000
• 2198438691434400 cubed (2198438691434400³) is 10625345884538794713391937738758278019584000000
• The square root of 2198438691434400 is 46887511.0390218945
• The cube root of 2198438691434400 is 130028.3703650749

Scales and comparisons

• 2,198,438,691,434,400 seconds is equal to 69,903,550 years, 8 weeks, 5 days, 23 hours, 20 minutes.
• To count from 1 to 2,198,438,691,434,400 would take you about two hundred nine million, seven hundred ten thousand, six hundred fifty 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 2198438691434400 cubic inches would be around 10835.7 feet tall.

Recreational maths with 2198438691434400

• 2198438691434400 backwards is 0044341968348912
• The number of decimal digits it has is: 16
• The sum of 2198438691434400's digits is 66
• More coming soon!