7972427631168

Names of 7972427631168

• Cardinal: 7972427631168 can be written as Seven trillion, nine hundred seventy-two billion, four hundred twenty-seven million, six hundred thirty-one thousand, one hundred sixty-eight.

Scientific notation

• Scientific notation: 7.972427631168 × 10¹²

Factors of 7972427631168

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 727802

Divisors of 7972427631168

• Number of divisors d(n): 672
• Complete list of divisors:
  1 2 3 4 6 7 8 9 11 12 13 14 16 18 19 21 22 24 26 28 32 33 36 38 39 42 44 48 52 56 57 63 64 66 72 76 77 78 84 88 91 96 99 104 112 114 117 126 132 133 143 144 152 154 156 168 171 176 182 192 198 208 209 224 228 231 234 247 252 264 266 273 286 288 304 308 312 336 342 352 364 396 399 416 418 429 448 456 462 468 494 504 528 532 546 572 576 608 616 624 627 672 684 693 704 728 741 792 798 819 832 836 858 912 924 936 988 1001 1008 1056 1064 1092 1144 1197 1216 1232 1248 1254 1287 1344 1368 1386 1456 1463 1482 1584 1596 1638 1672 1716 1729 1824 1848 1872 1881 1976 2002 2016 2112 2128 2184 2223 2288 2394 2464 2496 2508 2574 2717 2736 2772 2912 2926 2964 3003 3168 3192 3276 3344 3432 3458 3648 3696 3744 3762 3952 4004 4032 4256 4368 4389 4446 4576 4788 4928 5016 5148 5187 5434 5472 5544 5824 5852 5928 6006 6336 6384 6552 6688 6864 6916 7392 7488 7524 7904 8008 8151 8512 8736 8778 8892 9009 9152 9576 10032 10296 10374 10868 10944 11088 11704 11856 12012 12768 13104 13167 13376 13728 13832 14784 15048 15561 15808 16016 16302 17472 17556 17784 18018 19019 19152 20064 20592 20748 21736 22176 23408 23712 24024 24453 25536 26208 26334 27456 27664 30096 31122 32032 32604 35112 35568 36036 38038 38304 40128 41184 41496 43472 44352 46816 47424 48048 48906 52416 52668 55328 57057 60192 62244 64064 65208 70224 71136 72072 76076 76608 82368 82992 86944 93632 96096 97812 105336 110656 114114 120384 124488 130416 140448 142272 144144 152152 165984 171171 173888 192192 195624 210672 228228 248976 260832 280896 288288 304304 331968 342342 391248 421344 456456 497952 521664 576576 608608 684684 727747 782496 842688 912912 995904 1217216 1369368 1455494 1564992 1825824 2183241 2738736 2910988 3651648 4366482 5094229 5477472 5821976 6549723 8005217 8732964 9460711 10188458 10954944 11643952 13099446 13827193 15282687 16010434 17465928 18921422 20376916 23287904 24015651 26198892 27654386 28382133 30565374 32020868 34931856 37842844 40753832 41481579 45848061 46575808 48031302 52397784 55308772 56036519 56764266 61130748 64041736 66224977 69863712 72046953 75685688 81507664 82963158 85146399 91696122 96062604 96790351 104067821 104795568 110617544 112073038 113528532 122261496 124444737 128083472 132449954 139727424 144093906 151371376 152099123 163015328 165926316 168109557 170292798 179753509 183392244 192125208 193580702 198674931 208135642 209591136 221235088 224146076 227057064 244522992 248889474 256166944 264899908 288187812 290371053 302742752 304198246 312203463 326030656 331852632 336219114 340585596 359507018 366784488 384250416 387161404 397349862 416271284 419182272 442470176 448292152 454114128 456297369 489045984 497778948 504328671 512333888 529799816 539260527 576375624 580742106 596024793 605485504 608396492 624406926 663705264 672438228 681171192 719014036 728474747 733568976 768500832 774322808 794699724 832542568 871113159 884940352 896584304 908228256 912594738 936610389 978091968 995557896 1008657342 1059599632 1064693861 1078521054 1152751248 1161484212 1192049586 1216792984 1248813852 1258274563 1327410528 1344876456 1362342384 1368892107 1438028072 1456949494 1467137952 1537001664 1548645616 1589399448 1617781581 1665085136 1742226318 1793168608 1816456512 1825189476 1873220778 1977288599 1991115792 2017314684 2119199264 2129387722 2157042108 2185424241 2305502496 2322968424 2384099172 2433585968 2497627704 2516549126 2654821056 2689752912 2724684768 2737784214 2876056144 2913898988 2934275904 3097291232 3178798896 3194081583 3235563162 3330170272 3484452636 3586337216 3650378952 3746441556 3774823689 3954577198 3982231584 4034629368 4238398528 4258775444 4314084216 4370848482 4611004992 4645936848 4768198344 4867171936 4995255408 5033098252 5379505824 5449369536 5475568428 5752112288 5827797976 5931865797 6194582464 6357597792 6388163166 6471126324 6556272723 6660340544 6968905272 7300757904 7492883112 7549647378 7909154396 7964463168 8069258736 8517550888 8628168432 8741696964 9291873696 9536396688 9582244749 9734343872 9990510816 10066196504 10759011648 10951136856 11324471067 11504224576 11655595952 11863731594 12715195584 12776326332 12942252648 13112545446 13841020193 13937810544 14601515808 14985766224 15099294756 15818308792 16138517472 17035101776 17256336864 17483393928 17795597391 18583747392 19072793376 19164489498 19981021632 20132393008 21902273712 22648942134 23311191904 23727463188 25552652664 25884505296 26225090892 27682040386 27875621088 29203031616 29971532448 30198589512 31636617584 32277034944 34070203552 34512673728 34966787856 35591194782 38145586752 38328978996 40264786016 41523060579 43804547424 45297884268 46622383808 47454926376 51105305328 51769010592 52450181784 55364080772 55751242176 59943064896 60397179024 63273235168 68140407104 69933575712 71182389564 76657957992 80529572032 83046121158 87609094848 90595768536 94909852752 102210610656 103538021184 104900363568 110728161544 120794358048 124569181737 126546470336 139867151424 142364779128 153315915984 166092242316 181191537072 189819705504 204421221312 209800727136 221456323088 241588716096 249138363474 284729558256 306631831968 332184484632 362383074144 379639411008 419601454272 442912646176 498276726948 569459116512 613263663936 664368969264 724766148288 885825292352 996553453896 1138918233024 1328737938528 1993106907792 2657475877056 3986213815584 7972427631168
• Sum of all divisors σ(n): 32296641162240
• Sum of proper divisors (its aliquot sum) s(n): 24324213531072
• 7972427631168 is an abundant number, because the sum of its proper divisors (24324213531072) is greater than itself. Its abundance is 16351785899904

Bases of 7972427631168

• Binary: 1110100000000111001101101111000101001000000₂
• Hexadecimal: 0x74039B78A40
• Base-36: 2TQHDKI80

Squares and roots of 7972427631168

• 7972427631168 squared (7972427631168²) is 63559602334211007845044224
• 7972427631168 cubed (7972427631168³) is 506724329875313948720335787152520773632
• The square root of 7972427631168 is 2823548.7655020233
• The cube root of 7972427631168 is 19976.9965782465

Scales and comparisons

• 7,972,427,631,168 seconds is equal to 253,498 years, 27 weeks, 6 days, 22 hours, 52 minutes, 48 seconds.
• To count from 1 to 7,972,427,631,168 would take you about six hundred thirty-three thousand, seven hundred forty-six 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 7972427631168 cubic inches would be around 1664.7 feet tall.

Recreational maths with 7972427631168

• 7972427631168 backwards is 8611367242797
• 7972427631168 is a Harshad number.
• The number of decimal digits it has is: 13
• The sum of 7972427631168's digits is 63
• More coming soon!