138219772416

Names of 138219772416

• Cardinal: 138219772416 can be written as One hundred thirty-eight billion, two hundred nineteen million, seven hundred seventy-two thousand, four hundred sixteen.

Scientific notation

• Scientific notation: 1.38219772416 × 10¹¹

Factors of 138219772416

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 126

Divisors of 138219772416

• Number of divisors d(n): 960
• Complete list of divisors:
  1 2 3 4 6 8 11 12 16 17 19 22 24 31 32 33 34 38 43 44 48 51 57 62 64 66 68 76 86 88 93 96 102 114 124 128 129 132 136 152 172 176 186 187 192 204 209 228 248 256 258 264 272 304 323 341 344 352 361 372 374 384 408 418 456 473 496 512 516 527 528 544 561 589 608 627 646 682 688 704 722 731 744 748 768 816 817 836 912 946 969 992 1023 1032 1054 1056 1083 1088 1122 1178 1216 1254 1292 1333 1364 1376 1408 1419 1444 1462 1488 1496 1536 1581 1632 1634 1672 1767 1824 1892 1938 1984 2046 2064 2108 2112 2166 2176 2193 2244 2356 2432 2451 2508 2584 2666 2728 2752 2816 2838 2888 2924 2976 2992 3162 3264 3268 3344 3534 3553 3648 3784 3876 3968 3971 3999 4092 4128 4216 4224 4332 4352 4386 4488 4712 4864 4902 5016 5168 5332 5456 5504 5632 5676 5776 5797 5848 5952 5984 6137 6324 6479 6528 6536 6688 7068 7106 7296 7568 7752 7936 7942 7998 8041 8184 8256 8432 8448 8664 8704 8772 8976 8987 9424 9728 9804 10013 10032 10336 10659 10664 10912 11008 11191 11352 11552 11594 11696 11904 11913 11968 12274 12648 12958 13056 13072 13376 13889 14136 14212 14592 14663 15136 15504 15523 15872 15884 15996 16082 16368 16512 16864 16896 17328 17391 17544 17952 17974 18411 18848 19437 19608 20026 20064 20672 21318 21328 21824 22016 22382 22661 22704 23104 23188 23392 23808 23826 23936 24123 24548 25296 25327 25916 26112 26144 26752 26961 27778 28272 28424 29184 29326 30039 30272 31008 31046 31768 31992 32164 32736 33024 33573 33728 34656 34782 35088 35904 35948 36822 37696 38874 39216 40052 40128 41344 41667 42636 42656 43648 43989 44764 45322 45408 46208 46376 46569 46784 47616 47652 47872 48246 49096 50592 50654 51832 52288 53504 53922 55556 56544 56848 58652 60078 60544 62016 62092 63536 63984 64328 65472 66048 67146 67456 67507 67983 69312 69564 70176 71808 71896 73644 75392 75981 77748 78432 80104 80256 82688 83334 85272 85312 87296 87978 89528 90644 90816 92416 92752 93138 93568 95304 95744 96492 98192 101184 101308 103664 104576 107008 107844 110143 111112 113088 113696 117304 120156 121088 123101 124032 124184 127072 127968 128656 130944 134292 134912 135014 135966 138624 139128 140352 143616 143792 147288 150784 151962 152779 155496 156864 160208 160512 165376 166668 170544 170624 170753 174592 175956 179056 181288 181632 184832 185504 186276 187136 190247 190608 192984 196384 202368 202521 202616 207328 209152 215688 220286 222224 226176 227392 234608 240312 242176 246202 248064 248368 249271 254144 255936 257312 261888 263891 268584 269824 270028 271932 277248 278256 278597 280704 287232 287584 294576 301568 303924 305558 310992 313728 320416 321024 330429 333336 341088 341248 341506 351912 358112 362576 363264 369303 371008 372552 374272 380494 381216 385968 392768 404736 405042 405232 414656 418304 430559 431376 440572 444448 452352 454784 458337 469216 480624 481213 492404 496128 496736 498542 508288 511872 512259 514624 523776 527782 537168 540056 543864 554496 556512 557194 561408 570741 575168 589152 607848 611116 621984 627456 640832 660858 666672 682176 682496 683012 703824 716224 725152 726528 738606 742016 745104 747813 760988 762432 771936 785536 791673 809472 810084 810464 829312 835791 861118 862752 881144 888896 904704 909568 916674 938432 961248 962426 984808 993472 997084 1016576 1023744 1024518 1029248 1055564 1074336 1080112 1087728 1113024 1114388 1122816 1141482 1150336 1178304 1215696 1222232 1243968 1254912 1281664 1291677 1321716 1333344 1364352 1366024 1407648 1432448 1443639 1450304 1477212 1484032 1490208 1495626 1521976 1524864 1543872 1571072 1583346 1620168 1620928 1658624 1671582 1722236 1725504 1762288 1777792 1819136 1833348 1876864 1922496 1924852 1969616 1986944 1994168 2033152 2047488 2049036 2058496 2092717 2111128 2148672 2160224 2175456 2226048 2228776 2282964 2300672 2356608 2431392 2444464 2487936 2563328 2583354 2643432 2666688 2728704 2732048 2815296 2864896 2887278 2900608 2902801 2954424 2968064 2980416 2991252 3043952 3049728 3087744 3142144 3166692 3240336 3241856 3317248 3343164 3444472 3451008 3524576 3555584 3666696 3753728 3844992 3849704 3939232 3973888 3988336 4098072 4116992 4185434 4222256 4297344 4320448 4350912 4452096 4457552 4565928 4601344 4713216 4736149 4862784 4888928 4975872 5126656 5166708 5286864 5293343 5333376 5457408 5464096 5630592 5729792 5774556 5801216 5805602 5908848 5960832 5982504 6087904 6099456 6175488 6278151 6333384 6480672 6483712 6686328 6888944 6902016 7049152 7111168 7333392 7507456 7689984 7699408 7878464 7947776 7976672 8180621 8196144 8370868 8444512 8594688 8640896 8701824 8708403 8904192 8915104 9131856 9426432 9472298 9725568 9777856 9951744 10333416 10573728 10586686 10666752 10928192 11261184 11549112 11602432 11611204 11817696 11921664 11965008 12175808 12350976 12556302 12666768 12961344 12967424 13372656 13777888 13804032 14098304 14208447 14666784 15379968 15398816 15756928 15880029 15953344 16361242 16392288 16741736 16889024 17189376 17281792 17403648 17416806 17830208 18263712 18944596 19451136 19555712 20666832 21147456 21173372 21333504 21856384 22522368 23098224 23222408 23635392 23843328 23930016 24351616 24541863 25112604 25333536 25922688 26745312 27555776 28196608 28416894 29333568 30797632 31513856 31760058 31906688 32722484 32784576 33483472 33778048 34563584 34807296 34833612 35660416 36527424 37889192 38902272 39111424 41333664 42294912 42346744 43712768 46196448 46444816 47270784 47860032 48703232 49083726 50225208 50667072 51845376 53490624 55111552 56393216 56833788 58667136 61595264 63027712 63520116 63813376 65444968 65569152 66966944 67556096 69667224 71320832 73054848 75778384 78222848 82667328 84589824 84693488 87425536 89986831 92392896 92889632 94541568 95720064 97406464 98167452 100450416 101334144 103690752 106981248 110223104 113667576 117334272 123190528 127040232 127626752 130889936 131138304 133933888 135112192 139334448 142641664 146109696 151556768 165334656 169179648 169386976 179973662 184785792 185779264 189083136 191440128 196334904 200900832 202668288 213962496 220446208 227335152 234668544 246381056 254080464 261779872 262276608 267867776 269960493 278668896 292219392 303113536 330669312 338773952 359947324 369571584 371558528 382880256 392669808 401801664 405336576 427924992 454670304 508160928 523559744 535735552 539920986 557337792 606227072 661338624 677547904 719894648 739143168 743117056 785339616 803603328 909340608 1016321856 1047119488 1071471104 1079841972 1114675584 1212454144 1355095808 1439789296 1486234112 1570679232 1607206656 1818681216 2032643712 2094238976 2159683944 2229351168 2424908288 2710191616 2879578592 3141358464 3214413312 3637362432 4065287424 4188477952 4319367888 4458702336 5759157184 6282716928 7274724864 8130574848 8638735776 11518314368 12565433856 17277471552 23036628736 34554943104 46073257472 69109886208 138219772416
• Sum of all divisors σ(n): 474151366656
• Sum of proper divisors (its aliquot sum) s(n): 335931594240
• 138219772416 is an abundant number, because the sum of its proper divisors (335931594240) is greater than itself. Its abundance is 197711821824

Bases of 138219772416

• Binary: 10000000101110100010100101101000000000₂
• Hexadecimal: 0x202E8A5A00
• Base-36: 1RHWHEYO

Squares and roots of 138219772416

• 138219772416 squared (138219772416²) is 19104705486730834477056
• 138219772416 cubed (138219772416³) is 2640648044450642449268446693687296
• The square root of 138219772416 is 371779.1984713507
• The cube root of 138219772416 is 5170.3910504379

Scales and comparisons

• 138,219,772,416 seconds is equal to 4,394 years, 49 weeks, 6 days, 21 hours, 13 minutes, 36 seconds.
• To count from 1 to 138,219,772,416 would take you about eight thousand, seven hundred eighty-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 138219772416 cubic inches would be around 430.9 feet tall.

Recreational maths with 138219772416

• 138219772416 backwards is 614277912831
• 138219772416 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138219772416's digits is 51
• More coming soon!