319972992768

Names of 319972992768

• Cardinal: 319972992768 can be written as Three hundred nineteen billion, nine hundred seventy-two million, nine hundred ninety-two thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 3.19972992768 × 10¹¹

Factors of 319972992768

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 2705

Divisors of 319972992768

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 64 66 72 78 88 96 99 104 108 117 127 128 132 143 144 156 176 192 198 208 216 234 254 256 264 286 288 297 312 351 352 381 384 396 416 429 432 468 508 528 572 576 594 624 702 704 762 768 792 832 858 864 936 1016 1056 1143 1144 1152 1188 1248 1287 1397 1404 1408 1524 1584 1651 1664 1716 1728 1872 2032 2112 2286 2288 2304 2376 2496 2549 2574 2794 2808 2816 3048 3168 3302 3328 3429 3432 3456 3744 3861 4064 4191 4224 4572 4576 4752 4953 4992 5098 5148 5588 5616 6096 6336 6604 6858 6864 6912 7488 7647 7722 8128 8382 8448 9144 9152 9504 9906 9984 10196 10296 11176 11232 12192 12573 12672 13208 13716 13728 14859 14976 15294 15444 16256 16764 18161 18288 18304 19008 19812 20392 20592 22352 22464 22941 24384 25146 25344 26416 27432 27456 28039 29718 29952 30588 30888 32512 33137 33528 36322 36576 36608 37719 38016 39624 40784 41184 44577 44704 44928 45882 48768 50292 52832 54483 54864 54912 56078 59436 61176 61776 66274 67056 68823 72644 73152 75438 76032 79248 81568 82368 84117 89154 89408 89856 91764 97536 99411 100584 105664 108966 109728 109824 112156 118872 122352 123552 132548 134112 137646 145288 146304 150876 158496 163136 163449 164736 168234 178308 178816 183528 198822 201168 211328 217932 219456 224312 237744 244704 247104 252351 265096 268224 275292 290576 292608 298233 301752 316992 323723 326272 326898 329472 336468 356616 357632 364507 367056 397644 402336 422656 435864 438912 448624 475488 489408 490347 494208 504702 530192 536448 550584 581152 596466 603504 633984 647446 652544 653796 672936 713232 729014 734112 757053 795288 804672 871728 877824 894699 897248 950976 971169 978816 980694 988416 1009404 1060384 1072896 1093521 1101168 1162304 1192932 1207008 1267968 1294892 1307592 1345872 1426464 1458028 1468224 1514106 1590576 1609344 1743456 1789398 1794496 1901952 1942338 1957632 1961388 2018808 2120768 2187042 2202336 2324608 2385864 2414016 2589784 2615184 2691744 2852928 2913507 2916056 2936448 3028212 3181152 3218688 3280563 3486912 3560953 3578796 3588992 3803904 3884676 3922776 4037616 4208399 4241536 4374084 4404672 4649216 4771728 4828032 5179568 5230368 5383488 5705856 5827014 5832112 5872896 6056424 6362304 6561126 6973824 7121906 7157592 7177984 7769352 7845552 8075232 8416798 8483072 8740521 8748168 8809344 9543456 9656064 9841689 10359136 10460736 10682859 10766976 11411712 11654028 11664224 12112848 12625197 12724608 13122252 13947648 14243812 14315184 15538704 15691104 16150464 16833596 17481042 17496336 17618688 19086912 19683378 20718272 20921472 21365718 21533952 23308056 23328448 24225696 25250394 25449216 26244504 28487624 28630368 31077408 31382208 32048577 32300928 33667192 34962084 34992672 37875591 38173824 39366756 41436544 41842944 42731436 46292389 46616112 46656896 48451392 50500788 52489008 56975248 57260736 62154816 62764416 64097154 64601856 67334384 69924168 69985344 75751182 76347648 78733512 82873088 85462872 92584778 93232224 93313792 96145731 96902784 101001576 104978016 113626773 113950496 114521472 124309632 125528832 128194308 134668768 138877167 139848336 139970688 151502364 157467024 170925744 185169556 186464448 192291462 193805568 202003152 209956032 227253546 227900992 229042944 248619264 256388616 269337536 277754334 279696672 279941376 303004728 314934048 341851488 370339112 372928896 384582924 404006304 416631501 419912064 454507092 455801984 512777232 538675072 555508668 559393344 606009456 629868096 683702976 740678224 745857792 769165848 808012608 833263002 839824128 909014184 911603968 1025554464 1077350144 1111017336 1118786688 1212018912 1249894503 1259736192 1367405952 1481356448 1538331696 1616025216 1666526004 1818028368 2051108928 2222034672 2237573376 2424037824 2499789006 2519472384 2734811904 2962712896 3076663392 3232050432 3333052008 3636056736 4102217856 4444069344 4848075648 4999578012 5925425792 6153326784 6666104016 7272113472 8204435712 8888138688 9696151296 9999156024 11850851584 12306653568 13332208032 14544226944 17776277376 19998312048 24613307136 26664416064 29088453888 35552554752 39996624096 53328832128 79993248192 106657664256 159986496384 319972992768
• Sum of all divisors σ(n): 1120831488000
• Sum of proper divisors (its aliquot sum) s(n): 800858495232
• 319972992768 is an abundant number, because the sum of its proper divisors (800858495232) is greater than itself. Its abundance is 480885502464

Bases of 319972992768

• Binary: 100101001111111111000000110011100000000₂
• Hexadecimal: 0x4A7FE06700
• Base-36: 42ZRNPC0

Squares and roots of 319972992768

• 319972992768 squared (319972992768²) is 102382716100910580301824
• 319972992768 cubed (319972992768³) is 32759704078524858269130214009208832
• The square root of 319972992768 is 565661.5531994375
• The cube root of 319972992768 is 6839.7113574719

Scales and comparisons

• 319,972,992,768 seconds is equal to 10,174 years, 7 weeks, 6 days, 2 hours, 52 minutes, 48 seconds.
• To count from 1 to 319,972,992,768 would take you about twenty thousand, three hundred forty-eight 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 319972992768 cubic inches would be around 570 feet tall.

Recreational maths with 319972992768

• 319972992768 backwards is 867299279913
• 319972992768 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 319972992768's digits is 72
• More coming soon!