972313807936821

Names of 972313807936821

• Cardinal: 972313807936821 can be written as Nine hundred seventy-two trillion, three hundred thirteen billion, eight hundred seven million, nine hundred thirty-six thousand, eight hundred twenty-one.

Scientific notation

• Scientific notation: 9.72313807936821 × 10¹⁴

Factors of 972313807936821

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 8
• Sum of prime factors: 3250

Divisors of 972313807936821

• Number of divisors d(n): 144
• Complete list of divisors:
  1 3 7 21 29 47 87 127 141 203 329 381 609 841 889 987 1363 2523 2667 3037 3683 4089 5887 5969 9111 9541 11049 17661 17907 21259 25781 28623 39527 41783 63777 77343 88073 106807 118581 125349 142739 173101 264219 276689 320421 385699 428217 519303 616511 747649 830067 999173 1157097 1211707 1849533 2242947 2554117 2699893 2997519 3635121 4139431 5019929 7662351 8099679 9223369 11185271 12418293 15059787 17878819 18127853 27670107 28976017 33555813 35139503 53636457 54383559 64563583 78296897 86928051 105418509 120043499 126894971 193690749 234890691 267477701 324372859 360130497 380684913 433498343 525707737 802433103 840304493 973118577 1171367863 1300495029 1577123211 1872343907 2270610013 2520913479 3034488401 3514103589 3679954159 5617031721 6811830039 7756853329 8199575041 9103465203 11039862477 12571451947 15245524373 23270559987 24598725123 33969668027 37714355841 45736573119 54297973303 55054289561 88000163629 101909004081 106718670611 162893919909 165162868683 237787676189 264000490887 320156011833 364572106463 385380026927 713363028567 985120372783 1093716319389 1156140080781 1596574397269 2552004745241 2955361118349 4789723191807 6895842609481 7656014235723 11176020780883 20687527828443 33528062342649 46300657520801 138901972562403 324104602645607 972313807936821
• Sum of all divisors σ(n): 1579981307314176
• Sum of proper divisors (its aliquot sum) s(n): 607667499377355
• 972313807936821 is a deficient number, because the sum of its proper divisors (607667499377355) is less than itself. Its deficiency is 364646308559466

Bases of 972313807936821

• Binary: 11011101000101000001110011001000011101110100110101₂
• Hexadecimal: 0x374507321DD35
• Base-36: 9KNMSOUHPX

Squares and roots of 972313807936821

• 972313807936821 squared (972313807936821²) is 945394141104601235852727586041
• 972313807936821 cubed (972313807936821³) is 919219777338575097512624084890232877969515661
• The square root of 972313807936821 is 31181946.8272399727
• The cube root of 972313807936821 is 99068.4765150799

Scales and comparisons

• 972,313,807,936,821 seconds is equal to 30,916,571 years, 27 weeks, 3 days, 7 hours, 20 minutes, 21 seconds.
• To count from 1 to 972,313,807,936,821 would take you about seventy-seven million, two hundred ninety-one thousand, four hundred twenty-eight 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 972313807936821 cubic inches would be around 8255.7 feet tall.

Recreational maths with 972313807936821

• 972313807936821 backwards is 128639708313279
• The number of decimal digits it has is: 15
• The sum of 972313807936821's digits is 69
• More coming soon!