138020433408

Names of 138020433408

• Cardinal: 138020433408 can be written as One hundred thirty-eight billion, twenty million, four hundred thirty-three thousand, four hundred eight.

Scientific notation

• Scientific notation: 1.38020433408 × 10¹¹

Factors of 138020433408

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 18
• Sum of prime factors: 83

Divisors of 138020433408

• Number of divisors d(n): 1200
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 17 18 22 24 26 27 32 33 34 36 37 39 44 48 51 52 54 64 66 68 72 74 78 81 88 96 99 102 104 108 111 117 128 132 136 143 144 148 153 156 162 176 187 192 198 204 208 216 221 222 234 256 264 272 286 288 296 297 306 312 324 333 351 352 374 384 396 407 408 416 429 432 442 444 459 468 481 512 528 544 561 572 576 592 594 612 624 629 648 663 666 702 704 748 768 792 814 816 832 858 864 884 888 891 918 936 962 999 1053 1056 1088 1122 1144 1152 1184 1188 1221 1224 1248 1258 1287 1296 1326 1332 1369 1377 1404 1408 1443 1496 1536 1584 1628 1632 1664 1683 1716 1728 1768 1776 1782 1836 1872 1887 1924 1989 1998 2106 2112 2176 2244 2288 2304 2368 2376 2431 2442 2448 2496 2516 2574 2592 2652 2664 2738 2754 2808 2816 2886 2992 2997 3168 3256 3264 3328 3366 3432 3456 3536 3552 3564 3663 3672 3744 3774 3848 3861 3978 3996 4107 4212 4224 4329 4352 4488 4576 4608 4736 4752 4862 4884 4896 4992 5032 5049 5148 5184 5291 5304 5328 5476 5508 5616 5632 5661 5772 5967 5984 5994 6336 6512 6528 6656 6732 6864 6912 6919 7072 7104 7128 7293 7326 7344 7488 7548 7696 7722 7956 7992 8177 8214 8424 8448 8658 8704 8976 9152 9472 9504 9724 9768 9792 9984 10064 10098 10296 10368 10582 10608 10656 10952 10989 11016 11232 11322 11544 11583 11934 11968 11988 12321 12672 12987 13024 13056 13464 13728 13824 13838 14144 14208 14256 14586 14652 14688 14976 15059 15096 15147 15392 15444 15873 15912 15984 16354 16428 16848 16896 16983 17316 17797 17901 17952 18304 18944 19008 19448 19536 19584 19968 20128 20196 20592 20736 20757 21164 21216 21312 21879 21904 21978 22032 22464 22644 23088 23166 23273 23868 23936 23976 24531 24642 25344 25974 26048 26112 26928 27456 27676 28288 28416 28512 29172 29304 29376 29952 30118 30192 30294 30784 30888 31746 31824 31968 32708 32856 32967 33696 33966 34632 35594 35802 35904 36608 36963 38016 38896 38961 39072 39168 40256 40392 41184 41472 41514 42328 42432 42624 43758 43808 43956 44064 44928 45177 45288 46176 46332 46546 47619 47736 47872 47952 49062 49284 50688 50949 51948 52096 53391 53856 54912 55352 56576 56832 57024 58344 58608 58752 59904 60236 60384 60588 61568 61776 62271 63492 63648 63936 65416 65637 65712 65934 67392 67932 69264 69819 71188 71604 71808 73216 73593 73926 76032 77792 77922 78144 78336 80512 80784 82368 83028 84656 84864 85248 87516 87616 87912 88128 89856 89947 90354 90576 92352 92664 93092 95238 95472 95744 95904 98124 98568 101898 103896 104192 106782 107712 109824 110704 110889 113152 114048 116688 117216 117504 120472 120768 121176 123136 123552 124542 126984 127296 127872 130832 131274 131424 131868 134784 135531 135864 138528 139638 142376 142857 143208 143616 147186 147852 152064 155584 155844 156288 160173 161024 161568 164736 166056 169312 169728 170496 175032 175232 175824 176256 179712 179894 180708 181152 184704 185328 186184 186813 190476 190944 191808 195767 196248 196911 197136 203796 207792 208384 209457 213564 215424 219648 220779 221408 221778 228096 233376 234432 235008 240944 241536 242352 246272 247104 249084 253968 254592 255744 256003 261664 262548 262848 263736 269568 269841 271062 271728 277056 279276 284752 285714 286416 287232 294372 295704 302549 311168 311688 312576 320346 322048 323136 329472 332112 338624 339456 350064 350464 351648 352512 359788 361416 362304 369408 370656 372368 373626 380952 381888 383616 391534 392496 393822 394272 406593 407592 415584 418914 427128 428571 430848 441558 442816 443556 456192 466752 468864 480519 481888 483072 484704 494208 498168 507936 509184 511488 512006 523328 525096 525696 527472 539136 539682 542124 543456 554112 558552 560439 569504 571428 572832 587301 588744 591408 605098 622336 623376 625152 628371 640692 646272 658944 662337 664224 677248 700128 700928 703296 705024 719576 722832 724608 738816 741312 744736 747252 761904 763776 767232 768009 783068 784992 787644 788544 809523 813186 815184 831168 837828 854256 857142 861696 883116 885632 887112 907647 933504 937728 961038 963776 966144 969408 988416 996336 1015872 1018368 1024012 1046656 1050192 1051392 1054944 1079364 1084248 1086912 1108224 1117104 1120878 1139008 1142856 1145664 1174602 1177488 1182816 1210196 1219779 1244672 1246752 1256742 1281384 1292544 1324674 1328448 1354496 1400256 1406592 1439152 1441557 1445664 1449216 1482624 1489472 1494504 1523808 1527552 1534464 1536018 1566136 1569984 1575288 1577088 1619046 1626372 1630368 1662336 1675656 1708512 1714284 1761903 1766232 1771264 1774224 1815294 1867008 1875456 1885113 1922076 1927552 1938816 1976832 1992672 2031744 2048024 2093312 2100384 2102784 2109888 2158728 2168496 2173824 2216448 2234208 2241756 2278016 2285712 2291328 2304027 2349204 2354976 2365632 2420392 2428569 2439558 2493504 2513484 2562768 2585088 2649348 2656896 2708992 2722941 2800512 2813184 2878304 2883114 2891328 2898432 2965248 2978944 2989008 3047616 3055104 3072036 3132272 3139968 3150576 3154176 3238092 3252744 3260736 3324672 3328039 3351312 3417024 3428568 3523806 3532464 3542528 3548448 3630588 3734016 3770226 3844152 3855104 3877632 3985344 4063488 4096048 4186624 4200768 4219776 4317456 4336992 4347648 4468416 4483512 4556032 4571424 4582656 4608054 4698408 4709952 4731264 4840784 4857138 4879116 4987008 5026968 5125536 5285709 5298696 5313792 5445882 5601024 5626368 5756608 5766228 5782656 5930496 5957888 5978016 6095232 6144072 6264544 6279936 6301152 6308352 6476184 6505488 6521472 6649344 6656078 6702624 6834048 6857136 6912081 7047612 7064928 7096896 7261176 7285707 7540452 7688304 7710208 7755264 7970688 8126976 8168823 8192096 8401536 8439552 8634912 8673984 8695296 8936832 8967024 9112064 9142848 9165312 9216108 9396816 9419904 9462528 9681568 9714276 9758232 9974016 9984117 10053936 10251072 10571418 10597392 10627584 10891764 11202048 11513216 11532456 11565312 11915776 11956032 12190464 12288144 12529088 12559872 12602304 12952368 13010976 13042944 13312156 13405248 13668096 13714272 13824162 14095224 14129856 14193792 14522352 14571414 15080904 15376608 15857127 15941376 16337646 16384192 16803072 16879104 17269824 17347968 17873664 17934048 18285696 18432216 18793632 18839808 18925056 19363136 19428552 19516464 19948032 19968234 20107872 20502144 20736243 21142836 21194784 21783528 23026432 23064912 23130624 23912064 24380928 24506469 24576288 25058176 25204608 25904736 26021952 26085888 26624312 26810496 27336192 27428544 27648324 28190448 28259712 28387584 29044704 29142828 29952351 30161808 30753216 31714254 31882752 32675292 32768384 33606144 34539648 34695936 35747328 35868096 36571392 36864432 37587264 37679616 38726272 38857104 39032928 39936468 40215744 41004288 41472486 42285672 42389568 43567056 46052864 46129824 47824128 49012938 49152576 50116352 50409216 51809472 52043904 53248624 53620992 54857088 55296648 56380896 56519424 56775168 58089408 58285656 59904702 60323616 61506432 63428508 65350584 65536768 69079296 69391872 71736192 73142784 73728864 75174528 77452544 77714208 78065856 79872936 80431488 82008576 82944972 84571344 84779136 87134112 89857053 92259648 95648256 98025876 98305152 100232704 100818432 103618944 104087808 106497248 107241984 109714176 110593296 112761792 113038848 116178816 116571312 119809404 120647232 123012864 126857016 130701168 131073536 138158592 143472384 147457728 150349056 154905088 155428416 156131712 159745872 160862976 165889944 169142688 169558272 174268224 179714106 184519296 196051752 196610304 207237888 208175616 212994496 219428352 221186592 225523584 232357632 233142624 239618808 241294464 246025728 253714032 261402336 269571159 286944768 294915456 300698112 310856832 312263424 319491744 321725952 331779888 338285376 339116544 348536448 359428212 369038592 392103504 393220608 414475776 425988992 442373184 451047168 464715264 466285248 479237616 482588928 507428064 522804672 539142318 589830912 621713664 624526848 638983488 663559776 676570752 697072896 718856424 738077184 784207008 851977984 884746368 902094336 932570496 958475232 965177856 1014856128 1045609344 1078284636 1179661824 1243427328 1277966976 1327119552 1353141504 1394145792 1437712848 1568414016 1703955968 1769492736 1865140992 1916950464 2029712256 2091218688 2156569272 2555933952 2654239104 2706283008 2875425696 3136828032 3538985472 3730281984 3833900928 4059424512 4182437376 4313138544 5111867904 5308478208 5750851392 6273656064 7667801856 8118849024 8626277088 10616956416 11501702784 12547312128 15335603712 17252554176 23003405568 34505108352 46006811136 69010216704 138020433408
• Sum of all divisors σ(n): 526667947344
• Sum of proper divisors (its aliquot sum) s(n): 388647513936
• 138020433408 is an abundant number, because the sum of its proper divisors (388647513936) is greater than itself. Its abundance is 250627080528

Bases of 138020433408

• Binary: 10000000100010101010001010111000000000₂
• Hexadecimal: 0x2022A8AE00
• Base-36: 1RELSW00

Squares and roots of 138020433408

• 138020433408 squared (138020433408²) is 19049640038132162494464
• 138020433408 cubed (138020433408³) is 2629239574329390714270203680653312
• The square root of 138020433408 is 371511.0138448119
• The cube root of 138020433408 is 5167.9042945725

Scales and comparisons

• 138,020,433,408 seconds is equal to 4,388 years, 32 weeks, 2 days, 17 hours, 16 minutes, 48 seconds.
• To count from 1 to 138,020,433,408 would take you about eight thousand, seven hundred seventy-seven 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 138020433408 cubic inches would be around 430.7 feet tall.

Recreational maths with 138020433408

• 138020433408 backwards is 804334020831
• 138020433408 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138020433408's digits is 36
• More coming soon!