138013983744

Names of 138013983744

• Cardinal: 138013983744 can be written as One hundred thirty-eight billion, thirteen million, nine hundred eighty-three thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.38013983744 × 10¹¹

Factors of 138013983744

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 412

Divisors of 138013983744

• Number of divisors d(n): 704
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 17 21 24 26 28 32 34 39 42 48 51 52 56 64 68 78 84 91 96 102 104 112 113 119 128 136 156 168 182 192 204 208 221 224 226 238 256 257 272 273 312 336 339 357 364 384 408 416 442 448 452 476 512 514 544 546 624 663 672 678 714 728 768 771 791 816 832 884 896 904 952 1024 1028 1088 1092 1248 1326 1344 1356 1428 1456 1469 1536 1542 1547 1582 1632 1664 1768 1792 1799 1808 1904 1921 2056 2176 2184 2373 2496 2652 2688 2712 2856 2912 2938 3072 3084 3094 3164 3264 3328 3341 3536 3584 3598 3616 3808 3842 4112 4352 4368 4369 4407 4641 4746 4992 5304 5376 5397 5424 5712 5763 5824 5876 6168 6188 6328 6528 6656 6682 7072 7168 7196 7232 7616 7684 8224 8704 8736 8738 8814 9282 9492 9984 10023 10283 10608 10752 10794 10848 11424 11526 11648 11752 12336 12376 12656 13056 13107 13312 13364 13447 14144 14392 14464 15232 15368 16448 17408 17472 17476 17628 18564 18984 19968 20046 20566 21216 21504 21588 21696 22848 23052 23296 23387 23504 24672 24752 24973 25312 26112 26214 26728 26894 28288 28784 28928 29041 30464 30583 30736 30849 32896 34944 34952 35256 37128 37968 39936 40092 40341 41132 42432 43176 43392 45696 46104 46592 46774 47008 49344 49504 49946 50624 52224 52428 53456 53788 56576 56797 57568 57856 58082 60928 61166 61472 61698 65792 69888 69904 70161 70512 74256 74919 75936 80184 80682 82264 84864 86352 86784 87123 91392 91749 92208 93184 93548 94016 98688 99008 99892 101248 104856 106912 107576 113152 113594 115136 115712 116164 121856 122332 122944 123396 131584 139776 139808 140322 141024 148512 149838 151872 160368 161364 164528 169728 170391 172704 173568 174246 174811 182784 183498 184416 187096 188032 197376 198016 199784 202496 203287 209712 213824 215152 226304 227188 230272 232328 244664 245888 246792 263168 279552 279616 280644 282048 297024 299676 303744 320736 322728 329056 339456 340782 345408 347136 348492 349622 365568 366996 368832 374192 376064 377533 394752 396032 397579 399568 404992 406574 419424 427648 430304 454376 460544 464656 489328 491776 493584 493697 524433 559232 561288 564096 594048 599352 607488 609861 641472 645456 658112 678912 681564 690816 696984 699244 733992 737664 748384 752128 755066 789504 792064 795158 799136 809984 813148 838848 855296 860608 908752 921088 929312 978656 983552 987168 987394 1048866 1118464 1122576 1128192 1132599 1188096 1192737 1198704 1214976 1219722 1282944 1290912 1316224 1363128 1381632 1393968 1398488 1467984 1475328 1481091 1496768 1504256 1510132 1584128 1590316 1598272 1626296 1677696 1710592 1721216 1817504 1842176 1858624 1957312 1967104 1974336 1974788 2097732 2236928 2245152 2256384 2265198 2376192 2385474 2397408 2429952 2439444 2565888 2581824 2632448 2642731 2726256 2763264 2787936 2796976 2935968 2950656 2962182 2993536 3020264 3180632 3196544 3252592 3355392 3421184 3442432 3455879 3635008 3717248 3914624 3948672 3949576 4195464 4473856 4490304 4512768 4530396 4752384 4770948 4794816 4878888 5131776 5163648 5264896 5285462 5452512 5526528 5575872 5593952 5871936 5901312 5924364 5987072 6040528 6361264 6393088 6418061 6505184 6710784 6884864 6911758 7270016 7434496 7829248 7897344 7899152 7928193 8390928 8980608 9060792 9541896 9589632 9757776 10263552 10327296 10367637 10529792 10570924 10905024 11151744 11187904 11743872 11848728 11974144 12081056 12722528 12786176 12836122 13010368 13421568 13769728 13823516 14540032 14868992 15658496 15794688 15798304 15856386 16781856 17961216 18121584 19083792 19179264 19254183 19515552 20654592 20735274 21141848 21810048 22303488 22375808 23487744 23697456 23948288 24162112 25445056 25572352 25672244 26020736 27647032 29080064 29737984 31316992 31589376 31596608 31712772 33563712 35922432 36243168 38167584 38358528 38508366 39031104 41309184 41470548 42283696 43620096 44606976 44751616 44926427 46975488 47394912 48324224 50890112 51344488 52041472 55294064 58160128 63193216 63425544 67127424 71844864 72486336 76335168 76717056 77016732 78062208 82941096 84567392 87240192 89213952 89503232 89852854 93950976 94789824 96648448 101780224 102688976 104082944 110588128 126386432 126851088 134254848 134779281 144972672 152670336 154033464 156124416 165882192 169134784 174480384 179006464 179705708 189579648 193296896 203560448 205377952 208165888 221176256 252772864 253702176 268509696 269558562 289945344 305340672 308066928 312248832 331764384 338269568 359411416 379159296 386593792 407120896 410755904 442352512 505545728 507404352 537019392 539117124 579890688 610681344 616133856 624497664 663528768 676539136 718822832 758318592 821511808 884705024 1014808704 1078234248 1159781376 1221362688 1232267712 1327057536 1353078272 1437645664 1516637184 1643023616 1769410048 2029617408 2156468496 2464535424 2654115072 2706156544 2875291328 3286047232 3538820096 4059234816 4312936992 4929070848 5308230144 5750582656 6572094464 8118469632 8625873984 9858141696 10616460288 11501165312 17251747968 19716283392 23002330624 34503495936 46004661248 69006991872 138013983744
• Sum of all divisors σ(n): 485504119296
• Sum of proper divisors (its aliquot sum) s(n): 347490135552
• 138013983744 is an abundant number, because the sum of its proper divisors (347490135552) is greater than itself. Its abundance is 209476151808

Bases of 138013983744

• Binary: 10000000100010010001100100010000000000₂
• Hexadecimal: 0x2022464400
• Base-36: 1REHYNEO

Squares and roots of 138013983744

• 138013983744 squared (138013983744²) is 19047859708889096257536
• 138013983744 cubed (138013983744³) is 2628871000220612303186424741494784
• The square root of 138013983744 is 371502.3334300877
• The cube root of 138013983744 is 5167.8237949809

Scales and comparisons

• 138,013,983,744 seconds is equal to 4,388 years, 21 weeks, 5 days, 1 hour, 42 minutes, 24 seconds.
• To count from 1 to 138,013,983,744 would take you about eight thousand, seven hundred seventy-six 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 138013983744 cubic inches would be around 430.7 feet tall.

Recreational maths with 138013983744

• 138013983744 backwards is 447389310831
• 138013983744 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138013983744's digits is 51
• More coming soon!