972153486748000

Names of 972153486748000

• Cardinal: 972153486748000 can be written as Nine hundred seventy-two trillion, one hundred fifty-three billion, four hundred eighty-six million, seven hundred forty-eight thousand.

Scientific notation

• Scientific notation: 9.72153486748 × 10¹⁴

Factors of 972153486748000

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 33243

Divisors of 972153486748000

• Number of divisors d(n): 144
• Complete list of divisors:
  1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 223 250 400 446 500 800 892 1000 1115 1784 2000 2230 3568 4000 4460 5575 7136 8920 11150 17840 22300 27875 33013 35680 44600 55750 66026 89200 111500 132052 165065 178400 223000 264104 330130 446000 528208 660260 825325 892000 1056416 1320520 1650650 2641040 3301300 4126625 5282080 6602600 7361899 8253250 13205200 14723798 16506500 26410400 29447596 33013000 36809495 58895192 66026000 73618990 117790384 132052000 147237980 184047475 235580768 294475960 368094950 588951920 736189900 920237375 1089858169 1177903840 1472379800 1840474750 2179716338 2944759600 3680949500 4359432676 5449290845 5889519200 7361899000 8718865352 10898581690 14723798000 17437730704 21797163380 27246454225 29447596000 34875461408 43594326760 54492908450 87188653520 108985816900 136232271125 174377307040 217971633800 243038371687 272464542250 435943267600 486076743374 544929084500 871886535200 972153486748 1089858169000 1215191858435 1944306973496 2179716338000 2430383716870 3888613946992 4359432676000 4860767433740 6075959292175 7777227893984 9721534867480 12151918584350 19443069734960 24303837168700 30379796460875 38886139469920 48607674337400 60759592921750 97215348674800 121519185843500 194430697349600 243038371687000 486076743374000 972153486748000
• Sum of all divisors σ(n): 2399364922421376
• Sum of proper divisors (its aliquot sum) s(n): 1427211435673376
• 972153486748000 is an abundant number, because the sum of its proper divisors (1427211435673376) is greater than itself. Its abundance is 455057948925376

Bases of 972153486748000

• Binary: 11011101000010101100011111001111101010100101100000₂
• Hexadecimal: 0x3742B1F3EA960
• Base-36: 9KLL59R0PS

Squares and roots of 972153486748000

• 972153486748000 squared (972153486748000²) is 945082401796293811615504000000
• 972153486748000 cubed (972153486748000³) is 918765152170441327385867276335340992000000000
• The square root of 972153486748000 is 31179375.9839416929
• The cube root of 972153486748000 is 99063.0312055409

Scales and comparisons

• 972,153,486,748,000 seconds is equal to 30,911,473 years, 42 weeks, 23 hours, 46 minutes, 40 seconds.
• To count from 1 to 972,153,486,748,000 would take you about seventy-seven million, two hundred seventy-eight thousand, six hundred eighty-four 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 972153486748000 cubic inches would be around 8255.3 feet tall.

Recreational maths with 972153486748000

• 972153486748000 backwards is 000847684351279
• The number of decimal digits it has is: 15
• The sum of 972153486748000's digits is 64
• More coming soon!