138483642553984

Names of 138483642553984

• Cardinal: 138483642553984 can be written as One hundred thirty-eight trillion, four hundred eighty-three billion, six hundred forty-two million, five hundred fifty-three thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38483642553984 × 10¹⁴

Factors of 138483642553984

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 1106

Divisors of 138483642553984

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 4 7 8 13 14 16 26 28 32 47 49 52 56 64 91 94 98 104 112 128 182 188 196 208 223 224 329 347 364 376 392 416 446 448 467 611 637 658 694 728 752 784 832 892 896 934 1222 1274 1316 1388 1456 1504 1561 1568 1664 1784 1868 2303 2429 2444 2548 2632 2776 2899 2912 3008 3122 3136 3269 3568 3736 4277 4511 4606 4858 4888 5096 5264 5552 5798 5824 6016 6071 6244 6272 6538 7136 7472 8554 9022 9212 9716 9776 10192 10481 10528 10927 11104 11596 11648 12142 12488 13076 14272 14944 16309 17003 17108 18044 18424 19432 19552 20293 20384 20962 21056 21854 21949 22208 22883 23192 24284 24976 26152 28544 29888 29939 31577 32618 34006 34216 36088 36848 38864 39104 40586 40768 41924 42112 42497 43708 43898 44416 45766 46384 48568 49952 52304 59776 59878 63154 65236 68012 68432 72176 73367 73696 77381 77728 78208 81172 81536 83848 84994 87416 87796 91532 92768 97136 99904 104141 104608 114163 119756 126308 130472 136024 136253 136864 142051 144352 146734 147392 153643 154762 155456 162049 162344 167696 169988 174832 175592 183064 185536 194272 199808 208282 209216 212017 221039 228326 239512 252616 260944 272048 272506 273728 284102 285337 288704 293468 294784 297479 307286 309524 310912 324098 324688 335392 339976 349664 351184 366128 371072 388544 416564 418432 424034 442078 456652 479024 505232 513569 521888 541667 544096 545012 547456 568204 570674 577408 586936 594958 614572 619048 648196 649376 670784 679952 699328 702368 728987 732256 777088 799141 833128 848068 884156 913304 953771 958048 1005953 1010464 1027138 1043776 1075501 1083334 1088192 1090024 1134343 1136408 1141348 1173872 1189916 1229144 1238096 1296392 1298752 1341568 1353833 1359904 1398656 1404736 1457974 1464512 1484119 1598282 1666256 1696136 1768312 1826608 1907542 1916096 1997359 2011906 2020928 2054276 2087552 2106637 2151002 2166668 2176384 2180048 2268686 2272816 2282696 2347744 2379832 2458288 2476192 2592784 2597504 2707666 2719808 2809472 2915948 2929024 2968238 3196564 3332512 3392272 3536624 3636907 3653216 3791669 3815084 3832192 3994718 4023812 4041856 4108552 4213274 4302004 4333336 4360096 4537372 4545632 4565392 4695488 4759664 4894627 4916576 4952384 5102909 5185568 5415332 5439616 5831896 5936476 6393128 6665024 6676397 6784544 7041671 7073248 7273814 7306432 7583338 7616303 7630168 7940401 7989436 8047624 8217104 8426548 8604008 8666672 8720192 9074744 9091264 9130784 9390976 9476831 9519328 9789254 9833152 9904768 10205818 10371136 10388833 10830664 11663792 11872952 12786256 13330048 13352794 13569088 13981513 14083342 14146496 14547628 14612864 14746459 15166676 15232606 15260336 15880802 15978872 16095248 16434208 16853096 17208016 17333344 17440384 18149488 18182528 18261568 18953662 19038656 19578508 19666304 20411636 20742272 20777666 21661328 23327584 23745904 25458349 25572512 26705588 27138176 27963026 28166684 28292992 29095256 29492918 30333352 30465212 30520672 31761604 31957744 32190496 32868416 33706192 34262389 34416032 34666688 36136927 36298976 36523136 37907324 38077312 39157016 40823272 41555332 43322656 46655168 47279791 47491808 49291697 50916698 51145024 53314121 53411176 55926052 56333368 58190512 58985836 60666704 60930424 61041344 63523208 63630151 63915488 64380992 65736832 66337817 67412384 68524778 68832064 69333376 72273854 72597952 75814648 78314032 81646544 83110664 86645312 93310336 94559582 94983616 98583394 99011939 101833396 102290048 103225213 106628242 106822352 111852104 112666736 116381024 117971672 121333408 121860848 122082688 127046416 127260302 127830976 128761984 132675634 134824768 137049556 137664128 144547708 145195904 151629296 156628064 163293088 166221328 173290624 178208443 189119164 189967232 197166788 198023878 203666792 206450426 213256484 213644704 223704208 225333472 232762048 235943344 239836723 242666816 243721696 252958489 254092832 254520604 255661952 265351268 269649536 274099112 289095416 303258592 313256128 326586176 330958537 332442656 356416886 373198847 378238328 394333576 396047756 407333584 412900852 426512968 427289408 445411057 447408416 450666944 465524096 469780051 471886688 479673446 485333632 487443392 505916978 508185664 509041208 530702536 548198224 578190832 606517184 626512256 653172352 661917074 664885312 693083573 712833772 746397694 756476656 788667152 792095512 814667168 825801704 853025936 854578816 890822114 894816832 901333888 939560102 943773376 959346892 974886784 1011833956 1016371328 1018082416 1061405072 1096396448 1156381664 1213034368 1323834148 1329770624 1386167146 1425667544 1492795388 1512953312 1577334304 1584191024 1629334336 1651603408 1698435569 1706051872 1770709423 1781644228 1789633664 1879120204 1887546752 1918693784 2023667912 2036164832 2122810144 2192792896 2312763328 2316709759 2647668296 2772334292 2851335088 2985590776 3025906624 3117877399 3154668608 3168382048 3258668672 3288460357 3303206816 3396871138 3412103744 3541418846 3563288456 3758240408 3837387568 4047335824 4072329664 4245620288 4385585792 4625526656 4633419518 4851585011 5295336592 5544668584 5702670176 5971181552 6051813248 6235754798 6309337216 6336764096 6576920714 6606413632 6793742276 6824207488 7082837692 7126576912 7516480816 7674775136 8094671648 8144659328 8491240576 9266839036 9703170022 10590673184 11089337168 11405340352 11889048983 11942363104 12471509596 12673528192 13153841428 13212827264 13587484552 14165675384 14253153824 15032961632 15349550272 16189343296 18533678072 19406340044 21181346368 22079662397 22178674336 22810680704 23019222499 23778097966 23884726208 24943019192 26307682856 27174969104 28331350768 28506307648 30065923264 30699100544 32378686592 37067356144 38812680088 42362692736 44159324794 44357348672 46038444998 47556195932 47769452416 49886038384 52615365712 54349938208 56662701536 57012615296 60131846528 74134712288 77625360176 83223342881 88318649588 88714697344 92076889996 95112391864 99772076768 105230731424 108699876416 113325403072 148269424576 154557636779 155250720352 166446685762 176637299176 184153779992 190224783728 199544153536 210461462848 217399752832 226650806144 296538849152 309115273558 310501440704 332893371524 353274598352 368307559984 380449567456 399088307072 420922925696 618230547116 621002881408 665786743048 706549196704 736615119968 760899134912 1081903457453 1236461094232 1331573486096 1413098393408 1473230239936 1521798269824 2163806914906 2472922188464 2663146972192 2826196786816 2946460479872 4327613829812 4945844376928 5326293944384 8655227659624 9891688753856 10652587888768 17310455319248 19783377507712 34620910638496 69241821276992 138483642553984
• Sum of all divisors σ(n): 356334132510720
• Sum of proper divisors (its aliquot sum) s(n): 217850489956736
• 138483642553984 is an abundant number, because the sum of its proper divisors (217850489956736) is greater than itself. Its abundance is 79366847402752

Bases of 138483642553984

• Binary: 11111011111001100111100010100100101011010000000₂
• Hexadecimal: 0x7DF33C525680
• Base-36: 1D36I98GHS

Squares and roots of 138483642553984

• 138483642553984 squared (138483642553984²) is 19177719255019608166354272256
• 138483642553984 cubed (138483642553984³) is 2655800418312791744062464094700041513467904
• The square root of 138483642553984 is 11767907.3141312601
• The cube root of 138483642553984 is 51736.7915823495

Scales and comparisons

• 138,483,642,553,984 seconds is equal to 4,403,351 years, 24 weeks, 4 days, 23 hours, 13 minutes, 4 seconds.
• To count from 1 to 138,483,642,553,984 would take you about eleven million, eight thousand, three hundred seventy-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 138483642553984 cubic inches would be around 4311.4 feet tall.

Recreational maths with 138483642553984

• 138483642553984 backwards is 489355246384831
• The number of decimal digits it has is: 15
• The sum of 138483642553984's digits is 73
• More coming soon!