40974410398648848

Names of 40974410398648848

• Cardinal: 40974410398648848 can be written as Forty quadrillion, nine hundred seventy-four trillion, four hundred ten billion, three hundred ninety-eight million, six hundred forty-eight thousand, eight hundred forty-eight.

Scientific notation

• Scientific notation: 4.0974410398648848 × 10¹⁶

Factors of 40974410398648848

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 10
• Sum of prime factors: 7044292

Divisors of 40974410398648848

• Number of divisors d(n): 320
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 73 88 132 146 149 176 219 264 292 298 438 447 528 584 596 803 876 894 1013 1168 1192 1606 1639 1752 1788 2026 2384 2409 3039 3212 3278 3504 3576 4052 4818 4917 6078 6424 6556 7152 8104 9636 9834 10877 11143 12156 12848 13112 16208 19272 19668 21754 22286 24312 26224 32631 33429 38544 39336 43508 44572 48624 65262 66858 73949 78672 87016 89144 119647 130524 133716 147898 150937 174032 178288 221847 239294 261048 267432 295796 301874 358941 443694 452811 478588 522096 534864 591592 603748 717882 813439 887388 905622 957176 1183184 1207496 1435764 1626878 1660307 1774776 1811244 1914352 2414992 2440317 2871528 3253756 3320614 3549552 3622488 4880634 4980921 5743056 6507512 6641228 7043041 7244976 9761268 9961842 11018401 13015024 13282456 14086082 19522536 19923684 21129123 22036802 26564912 28172164 33055203 39045072 39847368 42258246 44073604 56344328 66110406 77473451 79694736 84516492 88147208 112688656 121202411 132220812 154946902 169032984 176294416 232420353 242404822 264441624 309893804 338065968 363607233 464840706 484809644 514141993 528883248 619787608 727214466 929681412 969619288 1028283986 1049413109 1239575216 1454428932 1542425979 1859362824 1939238576 2056567972 2098826218 2908857864 3084851958 3148239327 3718725648 4113135944 4197652436 5655561923 5817715728 6169703916 6296478654 7134600533 8226271888 8395304872 11311123846 11543544199 12339407832 12592957308 14269201066 16790609744 16966685769 21403801599 22622247692 23087088398 24678815664 25185914616 28538402132 33933371538 34630632597 42807603198 45244495384 46174176796 50371829232 57076804264 67866743076 69261265194 76607156957 78480605863 85615206396 90488990768 92348353592 114153608528 135733486152 138522530388 153214313914 156961211726 171230412792 184696707184 229821470871 235441817589 271466972304 277045060776 306428627828 313922423452 342460825584 459642941742 470883635178 520825838909 554090121552 612857255656 627844846904 842678726527 919285883484 941767270356 1041651677818 1063055479417 1225714511312 1255689693808 1562477516727 1685357453054 1838571766968 1883534540712 2083303355636 2126110958834 2528036179581 3124955033454 3189166438251 3370714906108 3677143533936 3767069081424 4166606711272 4252221917668 5056072359162 5729084227999 6249910066908 6378332876502 6741429812216 8333213422544 8504443835336 10112144718324 11458168455998 11693610273587 12499820133816 12756665753004 13482859624432 17008887670672 17187252683997 20224289436648 22916336911996 23387220547174 24999640267632 25513331506008 34374505367994 35080830820761 40448578873296 45832673823992 46774441094348 51026663012016 68749010735988 70161661641522 77603049997441 91665347647984 93548882188696 137498021471976 140323323283044 155206099994882 187097764377392 232809149992323 274996042943952 280646646566088 310412199989764 465618299984646 561293293132176 620824399979528 853633549971851 931236599969292 1241648799959056 1707267099943702 1862473199938584 2560900649915553 3414534199887404 3724946399877168 5121801299831106 6829068399774808 10243602599662212 13658136799549616 20487205199324424 40974410398648848
• Sum of all divisors σ(n): 117957115331078400
• Sum of proper divisors (its aliquot sum) s(n): 76982704932429552
• 40974410398648848 is an abundant number, because the sum of its proper divisors (76982704932429552) is greater than itself. Its abundance is 36008294533780704

Bases of 40974410398648848

• Binary: 10010001100100100000001001011000101100010100101000010000₂
• Hexadecimal: 0x91920258B14A10
• Base-36: B7G7S9ZFGUO

Squares and roots of 40974410398648848

• 40974410398648848 squared (40974410398648848²) is 1678902307516902846880264011727104
• 40974410398648848 cubed (40974410398648848³) is 68792032167436129974394218961488809619508499976192
• The square root of 40974410398648848 is 202421368.4338905165
• The cube root of 40974410398648848 is 344749.9704866071

Scales and comparisons

• 40,974,410,398,648,848 seconds is equal to 1,302,859,508 years, 26 weeks, 1 day, 11 hours, 20 minutes, 48 seconds.
• To count from 1 to 40,974,410,398,648,848 would take you about three billion, nine hundred eight million, five hundred seventy-eight thousand, five hundred twenty-five 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 40974410398648848 cubic inches would be around 28729.2 feet tall.

Recreational maths with 40974410398648848

• 40974410398648848 backwards is 84884689301447904
• The number of decimal digits it has is: 17
• The sum of 40974410398648848's digits is 87
• More coming soon!