138678517824

Names of 138678517824

• Cardinal: 138678517824 can be written as One hundred thirty-eight billion, six hundred seventy-eight million, five hundred seventeen thousand, eight hundred twenty-four.

Scientific notation

• Scientific notation: 1.38678517824 × 10¹¹

Factors of 138678517824

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 481

Divisors of 138678517824

• Number of divisors d(n): 896
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 21 22 24 28 29 32 33 34 42 44 48 51 53 56 58 64 66 68 77 84 87 88 96 102 106 112 116 119 132 136 154 159 168 174 176 187 192 203 204 212 224 231 232 238 264 272 308 318 319 336 348 352 357 359 371 374 406 408 424 448 462 464 476 493 528 544 561 583 609 616 636 638 672 696 704 714 718 742 748 812 816 848 901 924 928 952 957 986 1056 1077 1088 1113 1122 1166 1218 1232 1272 1276 1309 1344 1392 1428 1436 1479 1484 1496 1537 1624 1632 1696 1749 1802 1848 1856 1904 1914 1972 2112 2154 2226 2233 2244 2332 2436 2464 2513 2544 2552 2618 2703 2784 2856 2872 2958 2968 2992 3074 3248 3264 3392 3451 3498 3604 3696 3808 3828 3927 3944 3949 4081 4308 4452 4466 4488 4611 4664 4872 4928 5026 5088 5104 5236 5406 5423 5568 5712 5744 5916 5936 5984 6103 6148 6307 6496 6699 6902 6996 7208 7392 7539 7616 7656 7854 7888 7898 8162 8616 8904 8932 8976 9222 9328 9744 9911 10052 10176 10208 10353 10411 10472 10759 10812 10846 11424 11488 11832 11847 11872 11968 12206 12243 12296 12614 12992 13398 13804 13992 14416 14784 15078 15312 15708 15776 15796 16269 16324 16907 17232 17808 17864 17952 18309 18444 18656 18921 19027 19488 19822 20104 20416 20706 20822 20944 21518 21624 21692 22848 22976 23664 23694 23744 24412 24486 24592 25228 26129 26796 27608 27643 27984 28832 29733 30156 30624 31233 31416 31552 31592 32277 32538 32648 33814 34464 35616 35728 35904 36618 36888 37312 37842 37961 38054 38976 39644 40208 41412 41644 41888 42721 43036 43248 43384 47328 47388 48824 48972 49184 50456 50721 52258 53592 55216 55286 55968 57081 57664 59466 60312 61248 62466 62832 63184 64554 65076 65296 67133 67628 68928 69377 71232 71456 72877 73236 73776 75684 75922 76108 78387 79288 80416 82824 82929 83288 83776 85442 86072 86496 86768 94656 94776 97648 97944 98368 100912 101442 104516 107184 110432 110572 111936 113883 114162 114521 118349 118932 120624 124932 125664 126368 128163 129108 130152 130592 133189 134266 135256 138754 142912 145754 146472 147552 151368 151844 152216 156774 158576 160832 165648 165858 166576 170884 172144 172992 173536 176987 182903 189552 195296 195888 201399 201824 202884 208131 209032 209297 214368 218631 220864 221144 227766 228324 229042 236698 237864 241248 249864 251328 252736 256326 258216 260304 261184 266378 268532 270512 277508 287419 291508 292944 295104 302736 303688 304432 313548 317152 323459 331296 331716 333152 341768 343563 344288 347072 353974 355047 365806 379104 390592 391776 399567 402798 403648 405768 416262 418064 418594 428736 437262 442288 455532 456648 458084 469931 473396 475728 482496 499728 512652 516432 520608 530961 532756 537064 541024 548709 551783 555016 574838 583016 585888 605472 607376 608864 627096 627891 634304 646918 662592 663432 666304 683536 687126 688576 707948 710094 731612 758208 783552 799134 801647 805596 811536 832524 836128 837188 862257 874524 884576 911064 913296 916168 939862 946792 951456 970377 999456 1025304 1032864 1041216 1061922 1065512 1074128 1082048 1097418 1103566 1110032 1149676 1166032 1171776 1210944 1214752 1217728 1238909 1254192 1255782 1293836 1326864 1367072 1374252 1409793 1415896 1420188 1463224 1465079 1598268 1603294 1611192 1623072 1655349 1665048 1672256 1674376 1724514 1749048 1769152 1822128 1826592 1832336 1879724 1893584 1902912 1940754 1946857 1998912 2011933 2050608 2065728 2123844 2131024 2148256 2194836 2207132 2220064 2264213 2299352 2332064 2404941 2429504 2477818 2508384 2511564 2587672 2653728 2734144 2748504 2819586 2831792 2840376 2926448 2930158 3196536 3206588 3222384 3246144 3310698 3330096 3348752 3449028 3498096 3558049 3644256 3653184 3664672 3716727 3759448 3787168 3862481 3881508 3893714 4023866 4101216 4247688 4262048 4296512 4389672 4395237 4414264 4440128 4528426 4598704 4664128 4809882 4955636 5016768 5023128 5175344 5307456 5497008 5639172 5663584 5680752 5840571 5852896 5860316 6035799 6069613 6393072 6413176 6444768 6621396 6660192 6697504 6792639 6898056 6996192 7116098 7288512 7329344 7433454 7518896 7574336 7724962 7763016 7787428 8047732 8202432 8495376 8524096 8779344 8790474 8828528 9056852 9197408 9380311 9619764 9911272 10046256 10350688 10674147 10994016 11278344 11327168 11361504 11587443 11681142 11705792 11720632 12071598 12139226 12786144 12826352 12889536 13242792 13320384 13395008 13585278 13627999 13796112 13992384 14232196 14866908 15037792 15449924 15526032 15574856 16095464 16990752 17558688 17580948 17657056 18113704 18208839 18394816 18760622 19239528 19822544 20092512 20701376 21348294 21988032 22556688 22723008 23174886 23362284 23441264 24143196 24278452 24906343 25572288 25652704 26485584 27170556 27255998 27592224 28140933 28464392 29733816 30075584 30899848 31052064 31149712 32190928 33981504 35117376 35161896 35314112 36227408 36417678 37521244 38479056 39645088 40185024 40883997 42487291 42696588 45113376 46349772 46724568 46882528 48286392 48556904 49812686 51305408 52971168 54341112 54511996 55184448 56281866 56928784 59467632 61799696 62104128 62299424 64381856 65662177 70323792 72454816 72835356 74719029 75042488 76958112 79290176 81767994 84974582 85393176 90226752 92699544 93449136 93765056 96572784 97113808 99625372 103183421 105942336 108682224 109023992 112563732 113857568 118935264 123599392 124598848 127461873 128763712 131324354 140647584 144909632 145670712 149438058 150084976 153916224 163535988 169949164 170786352 185399088 186898272 193145568 194227616 196986531 199250744 206366842 217364448 218047984 225127464 227715136 237870528 247198784 254923746 262648708 281295168 291341424 298876116 300169952 309550263 327071976 339898328 341572704 370798176 373796544 386291136 388455232 393973062 398501488 412733684 434728896 436095968 450254928 509847492 525297416 582682848 597752232 600339904 619100526 654143952 679796656 683145408 722283947 741596352 787946124 797002976 825467368 872191936 900509856 1019694984 1050594832 1165365696 1195504464 1238201052 1308287904 1359593312 1444567894 1575892248 1594005952 1650934736 1801019712 2039389968 2101189664 2166851841 2391008928 2476402104 2616575808 2719186624 2889135788 3151784496 3301869472 4078779936 4202379328 4333703682 4782017856 4952804208 5778271576 6303568992 6603738944 8157559872 8667407364 9905608416 11556543152 12607137984 17334814728 19811216832 23113086304 34669629456 46226172608 69339258912 138678517824
• Sum of all divisors σ(n): 511946956800
• Sum of proper divisors (its aliquot sum) s(n): 373268438976
• 138678517824 is an abundant number, because the sum of its proper divisors (373268438976) is greater than itself. Its abundance is 234589921152

Bases of 138678517824

• Binary: 10000001001001111000100100000001000000₂
• Hexadecimal: 0x2049E24040
• Base-36: 1RPHLX6O

Squares and roots of 138678517824

• 138678517824 squared (138678517824²) is 19231731305861485694976
• 138678517824 cubed (138678517824³) is 2667027992686290839625850243252224
• The square root of 138678517824 is 372395.6468918507
• The cube root of 138678517824 is 5176.1048347691

Scales and comparisons

• 138,678,517,824 seconds is equal to 4,409 years, 28 weeks, 3 days, 10 hours, 30 minutes, 24 seconds.
• To count from 1 to 138,678,517,824 would take you about eight thousand, eight hundred nineteen 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 138678517824 cubic inches would be around 431.3 feet tall.

Recreational maths with 138678517824

• 138678517824 backwards is 428715876831
• The number of decimal digits it has is: 12
• The sum of 138678517824's digits is 60
• More coming soon!