972641204640

Names of 972641204640

• Cardinal: 972641204640 can be written as Nine hundred seventy-two billion, six hundred forty-one million, two hundred four thousand, six hundred forty.

Scientific notation

• Scientific notation: 9.7264120464 × 10¹¹

Factors of 972641204640

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 12
• Sum of prime factors: 119855

Divisors of 972641204640

• Number of divisors d(n): 384
• Complete list of divisors:
  1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 32 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 96 105 108 112 120 126 135 140 144 160 168 180 189 210 216 224 240 252 269 270 280 288 315 336 360 378 420 432 480 504 538 540 560 630 672 720 756 807 840 864 945 1008 1076 1080 1120 1260 1345 1440 1512 1614 1680 1883 1890 2016 2152 2160 2421 2520 2690 3024 3228 3360 3766 3780 4035 4304 4320 4842 5040 5380 5649 6048 6456 7263 7532 7560 8070 8608 9415 9684 10080 10760 11298 12105 12912 14526 15064 15120 16140 16947 18830 19368 21520 22596 24210 25824 28245 29052 30128 30240 32280 33894 36315 37660 38736 43040 45192 48420 50841 56490 58104 60256 64560 67788 72630 75320 77472 84735 90384 96840 101682 112980 116208 119569 129120 135576 145260 150640 169470 180768 193680 203364 225960 232416 239138 254205 271152 290520 301280 338940 358707 387360 406728 451920 478276 508410 542304 581040 597845 677880 717414 813456 836983 903840 956552 1016820 1076121 1162080 1195690 1355760 1434828 1626912 1673966 1793535 1913104 2033640 2152242 2391380 2510949 2711520 2869656 3228363 3347932 3587070 3826208 4067280 4184915 4304484 4782760 5021898 5380605 5739312 6456726 6695864 7174140 7532847 8134560 8369830 8608968 9565520 10043796 10761210 11478624 12554745 12913452 13391728 14348280 15065694 16141815 16739660 17217936 19131040 20087592 21522420 22598541 25109490 25826904 26783456 28696560 30131388 32164061 32283630 33479320 34435872 37664235 40175184 43044840 45197082 50218980 51653808 57393120 60262776 64328122 64567260 66958640 75328470 80350368 86089680 90394164 96492183 100437960 103307616 112992705 120525552 128656244 129134520 133917280 150656940 160820305 172179360 180788328 192984366 200875920 225148427 225985410 241051104 257312488 258269040 289476549 301313880 321640610 361576656 385968732 401751840 450296854 451970820 482460915 514624976 516538080 578953098 602627760 643281220 675445281 723153312 771937464 868429647 900593708 903941640 964921830 1029249952 1125742135 1157906196 1205255520 1286562440 1350890562 1447382745 1543874928 1736859294 1801187416 1807883280 1929843660 2026335843 2251484270 2315812392 2573124880 2701781124 2894765490 3087749856 3377226405 3473718588 3602374832 3615766560 3859687320 4052671686 4342148235 4502968540 4631624784 5146249760 5403562248 5789530980 6079007529 6754452810 6947437176 7204749664 7719374640 8105343372 8684296470 9005937080 9263249568 10131679215 10807124496 11579061960 12158015058 13508905620 13894874352 15438749280 16210686744 17368592940 18011874160 20263358430 21614248992 23158123920 24316030116 27017811240 27789748704 30395037645 32421373488 34737185880 36023748320 40526716860 46316247840 48632060232 54035622480 60790075290 64842746976 69474371760 81053433720 97264120464 108071244960 121580150580 138948743520 162106867440 194528240928 243160301160 324213734880 486320602320 972641204640
• Sum of all divisors σ(n): 3905060544000
• Sum of proper divisors (its aliquot sum) s(n): 2932419339360
• 972641204640 is an abundant number, because the sum of its proper divisors (2932419339360) is greater than itself. Its abundance is 1959778134720

Bases of 972641204640

• Binary: 1110001001110101111011101111100110100000₂
• Hexadecimal: 0xE275EEF9A0
• Base-36: CETPGKO0

Squares and roots of 972641204640

• 972641204640 squared (972641204640²) is 946030912963550357529600
• 972641204640 cubed (972641204640³) is 920148646811546612158892838457344000
• The square root of 972641204640 is 986225.7371616297
• The cube root of 972641204640 is 9907.9594685831

Scales and comparisons

• 972,641,204,640 seconds is equal to 30,926 years, 51 weeks, 8 hours, 24 minutes.
• To count from 1 to 972,641,204,640 would take you about sixty-one thousand, eight hundred fifty-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 972641204640 cubic inches would be around 825.7 feet tall.

Recreational maths with 972641204640

• 972641204640 backwards is 046402146279
• 972641204640 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 972641204640's digits is 45
• More coming soon!