40816357117536672

Names of 40816357117536672

• Cardinal: 40816357117536672 can be written as Forty quadrillion, eight hundred sixteen trillion, three hundred fifty-seven billion, one hundred seventeen million, five hundred thirty-six thousand, six hundred seventy-two.

Scientific notation

• Scientific notation: 4.0816357117536672 × 10¹⁶

Factors of 40816357117536672

• Number of distinct prime factors ω(n): 4
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 53029

Divisors of 40816357117536672

• Number of divisors d(n): 432
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 49 54 56 63 72 84 96 98 108 112 126 144 147 168 189 196 216 224 252 288 294 336 343 378 392 432 441 504 588 672 686 756 784 864 882 1008 1029 1176 1323 1372 1512 1568 1764 2016 2058 2352 2401 2646 2744 3024 3087 3528 4116 4704 4802 5292 5488 6048 6174 7056 7203 8232 9261 9604 10584 10976 12348 14112 14406 16464 16807 18522 19208 21168 21609 24696 28812 32928 33614 37044 38416 42336 43218 49392 50421 53017 57624 64827 67228 74088 76832 86436 98784 100842 106034 115248 129654 134456 148176 151263 159051 172872 201684 212068 230496 259308 268912 296352 302526 318102 345744 371119 403368 424136 453789 477153 518616 537824 605052 636204 691488 742238 806736 848272 907578 954306 1037232 1113357 1210104 1272408 1431459 1484476 1613472 1696544 1815156 1908612 2074464 2226714 2420208 2544816 2597833 2862918 2968952 3340071 3630312 3817224 4453428 4840416 5089632 5195666 5725836 5937904 6680142 7260624 7634448 7793499 8906856 10020213 10391332 11451672 11875808 13360284 14521248 15268896 15586998 17813712 18184831 20040426 20782664 22903344 23380497 26720568 31173996 35627424 36369662 40080852 41565328 45806688 46760994 53441136 54554493 62347992 70141491 72739324 80161704 83130656 93521988 106882272 109108986 124695984 127293817 140282982 145478648 160323408 163663479 187043976 218217972 249391968 254587634 280565964 290957296 320646816 327326958 374087952 381881451 436435944 490990437 509175268 561131928 581914592 654653916 748175904 763762902 872871888 891056719 981980874 1018350536 1122263856 1145644353 1309307832 1527525804 1745743776 1782113438 1963961748 2036701072 2244527712 2291288706 2618615664 2673170157 2810802289 3055051608 3436933059 3564226876 3927923496 4073402144 4582577412 5237231328 5346340314 5621604578 6110103216 6873866118 7128453752 7855846992 8019510471 8432406867 9165154824 10692680628 11243209156 12220206432 13747732236 14256907504 15711693984 16039020942 16864813734 18330309648 19675616023 21385361256 22486418312 24058531413 25297220601 27495464472 28513815008 32078041884 33729627468 36660619296 39351232046 42770722512 44972836624 48117062826 50594441202 54990928944 59026848069 64156083768 67459254936 75891661803 78702464092 85541445024 89945673248 96234125652 101188882404 109981857888 118053696138 128312167536 134918509872 137729312161 151783323606 157404928184 177080544207 192468251304 202377764808 236107392276 256624335072 269837019744 275458624322 303566647212 314809856368 354161088414 384936502608 404755529616 413187936483 472214784552 531241632621 550917248644 607133294424 629619712736 708322176828 769873005216 809511059232 826375872966 944429569104 964105185127 1062483265242 1101834497288 1214266588848 1239563809449 1416644353656 1652751745932 1888859138208 1928210370254 2124966530484 2203668994576 2428533177696 2479127618898 2833288707312 2892315555381 3305503491864 3718691428347 3856420740508 4249933060968 4407337989152 4958255237796 5666577414624 5784631110762 6611006983728 6748736295889 7437382856694 7712841481016 8499866121936 8676946666143 9916510475592 11569262221524 13222013967456 13497472591778 14874765713388 15425682962032 16999732243872 17353893332286 19833020951184 20246208887667 23138524443048 26030839998429 26994945183556 29749531426776 30851365924064 34707786664572 39666041902368 40492417775334 46277048886096 47241154071223 52061679996858 53989890367112 59499062853552 60738626663001 69415573329144 80984835550668 92554097772192 94482308142446 104123359993716 107979780734224 118998125707104 121477253326002 138831146658288 141723462213669 161969671101336 182215879989003 188964616284892 208246719987432 215959561468448 242954506652004 277662293316576 283446924427338 323939342202672 364431759978006 377929232569784 416493439974864 425170386641007 485909013304008 566893848854676 647878684405344 728863519956012 755858465139568 832986879949728 850340773282014 971818026608016 1133787697709352 1275511159923021 1457727039912024 1511716930279136 1700681546564028 1943636053216032 2267575395418704 2551022319846042 2915454079824048 3401363093128056 4535150790837408 5102044639692084 5830908159648096 6802726186256112 10204089279384168 13605452372512224 20408178558768336 40816357117536672
• Sum of all divisors σ(n): 138890432166333120
• Sum of proper divisors (its aliquot sum) s(n): 98074075048796448
• 40816357117536672 is an abundant number, because the sum of its proper divisors (98074075048796448) is greater than itself. Its abundance is 57257717931259776

Bases of 40816357117536672

• Binary: 10010001000000100100001010110011000001000010100110100000₂
• Hexadecimal: 0x910242B30429A0
• Base-36: B5W6VLOO4O0

Squares and roots of 40816357117536672

• 40816357117536672 squared (40816357117536672²) is 1665975008346286543702677264835584
• 40816357117536672 cubed (40816357117536672³) is 67999030889553169308259321002507986046325170536448
• The square root of 40816357117536672 is 202030584.6092038413
• The cube root of 40816357117536672 is 344306.1237446095

Scales and comparisons

• 40,816,357,117,536,672 seconds is equal to 1,297,833,903 years, 2 weeks, 6 days, 5 hours, 31 minutes, 12 seconds.
• To count from 1 to 40,816,357,117,536,672 would take you about three billion, eight hundred ninety-three million, five hundred one thousand, seven hundred nine 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 40816357117536672 cubic inches would be around 28692.2 feet tall.

Recreational maths with 40816357117536672

• 40816357117536672 backwards is 27663571175361804
• 40816357117536672 is a Harshad number.
• The number of decimal digits it has is: 17
• The sum of 40816357117536672's digits is 72
• More coming soon!