972142418208

Names of 972142418208

• Cardinal: 972142418208 can be written as Nine hundred seventy-two billion, one hundred forty-two million, four hundred eighteen thousand, two hundred eight.

Scientific notation

• Scientific notation: 9.72142418208 × 10¹¹

Factors of 972142418208

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 107

Divisors of 972142418208

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 12 13 16 19 24 26 29 32 38 39 41 48 52 57 58 76 78 82 87 96 104 114 116 123 152 156 164 174 208 228 232 246 247 304 312 328 348 377 416 456 464 492 494 533 551 608 624 656 696 741 754 779 841 912 928 984 988 1066 1102 1131 1189 1248 1312 1392 1482 1508 1558 1599 1653 1681 1682 1824 1968 1976 2132 2204 2262 2337 2378 2523 2784 2964 3016 3116 3198 3306 3362 3364 3567 3936 3952 4264 4408 4524 4674 4756 5043 5046 5928 6032 6232 6396 6612 6724 6728 7134 7163 7904 8528 8816 9048 9348 9512 10086 10092 10127 10933 11856 12064 12464 12792 13224 13448 13456 14268 14326 15457 15979 17056 17632 18096 18696 19024 20172 20184 20254 21489 21853 21866 22591 23712 24389 24928 25584 26448 26896 26912 28536 28652 30381 30914 31939 31958 32799 34481 36192 37392 38048 40344 40368 40508 42978 43706 43732 45182 46371 47937 48749 48778 51168 52896 53792 57072 57304 60762 61828 63878 63916 65559 65598 67773 68962 73167 74784 80688 80736 81016 85956 87412 87464 90364 92742 95817 95874 97498 97556 103443 114144 114608 121524 123656 127756 127832 131118 131196 135546 137924 146247 146334 161376 162032 171912 174824 174928 180728 185484 191634 191748 194996 195112 206886 207727 229216 243048 247312 255512 255664 262236 262392 271092 275848 292494 292668 293683 317057 324064 343824 349648 349856 361456 370968 383268 383496 389992 390224 413772 415207 415454 448253 463391 486096 494624 511024 511328 524472 524784 542184 551696 584988 585336 587366 623181 633737 634114 655139 687648 699296 722912 741936 766536 766992 779984 780448 827544 830414 830908 881049 896506 926231 926782 951171 972192 999949 1022048 1048944 1049568 1084368 1103392 1169976 1170672 1174732 1245621 1246362 1267474 1268228 1310278 1344759 1390173 1413721 1483872 1533072 1533984 1559968 1655088 1660828 1661816 1762098 1793012 1852462 1853564 1901211 1902342 1965417 1999898 2097888 2168736 2339952 2341344 2349464 2491242 2492724 2534948 2536456 2620556 2689518 2778693 2780346 2827442 2999847 3066144 3310176 3321656 3323632 3524196 3586024 3704924 3707128 3802422 3804684 3930834 3999796 4241163 4679904 4698928 4982484 4985448 5069896 5072912 5241112 5379036 5557386 5560692 5654884 5999694 6024083 6643312 6647264 7048392 7172048 7409848 7414256 7604844 7609368 7861668 7999592 8482326 8516807 9397856 9964968 9970896 10139792 10145824 10482224 10758072 11114772 11121384 11309768 11999388 12041003 12048166 12999337 13286624 14096784 14344096 14819696 14828512 15209688 15218736 15723336 15999184 16964652 17033614 18072249 18378373 18999031 19929936 19941792 20279584 20964448 21516144 22229544 22242768 22619536 23998776 24082006 24096332 25550421 25998674 26860699 28193568 29639392 30419376 30437472 31446672 31998368 33929304 34067228 36123009 36144498 36756746 37998062 38998011 39859872 40997909 43032288 44459088 44485536 45239072 47997552 48164012 48192664 51100842 51997348 53721398 55135119 56997093 60838752 62893344 67858608 68134456 72246018 72288996 73513492 75996124 77996022 80582097 81995818 88918176 95995104 96328024 96385328 102201684 103994696 107442796 110270238 113994186 122993727 135717216 136268912 144492036 144577992 147026984 151992248 155992044 161164194 163991636 192656048 192770656 204403368 207989392 214885592 220540476 227988372 245987454 246987403 272537824 288984072 289155984 294053968 303984496 311984088 322328388 327983272 349189087 385312096 408806736 415978784 429771184 441080952 455976744 491974908 493974806 532972817 577968144 578311968 588107936 607968992 623968176 644656776 655966544 698378174 740962209 778960271 817613472 859542368 882161904 911953488 983949816 987949612 1047567261 1065945634 1155936288 1247936352 1289313552 1311933088 1396756348 1481924418 1557920542 1598918451 1764323808 1823906976 1967899632 1975899224 2095134522 2131891268 2336880813 2578627104 2793512696 2963848836 3115841084 3197836902 3935799264 3951798448 4190269044 4263782536 4673761626 5587025392 5927697672 6231682168 6395673804 7903596896 8380538088 8527565072 9347523252 10126483523 11174050784 11855395344 12463364336 12791347608 16761076176 17055130144 18695046504 20252967046 23710790688 24926728672 25582695216 30379450569 33522152352 37390093008 40505934092 51165390432 60758901138 74780186016 81011868184 121517802276 162023736368 243035604552 324047472736 486071209104 972142418208
• Sum of all divisors σ(n): 3070981468800
• Sum of proper divisors (its aliquot sum) s(n): 2098839050592
• 972142418208 is an abundant number, because the sum of its proper divisors (2098839050592) is greater than itself. Its abundance is 1126696632384

Bases of 972142418208

• Binary: 1110001001011000001101000001100100100000₂
• Hexadecimal: 0xE258341920
• Base-36: CELGHULC

Squares and roots of 972142418208

• 972142418208 squared (972142418208²) is 945060881279297969931264
• 972142418208 cubed (972142418208³) is 918733770480640325137564256502054912
• The square root of 972142418208 is 985972.8283314911
• The cube root of 972142418208 is 9906.2655240463

Scales and comparisons

• 972,142,418,208 seconds is equal to 30,911 years, 6 weeks, 2 days, 8 hours, 36 minutes, 48 seconds.
• To count from 1 to 972,142,418,208 would take you about sixty-one thousand, eight hundred twenty-two 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 972142418208 cubic inches would be around 825.5 feet tall.

Recreational maths with 972142418208

• 972142418208 backwards is 802814241279
• 972142418208 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 972142418208's digits is 48
• More coming soon!