138819757440

Names of 138819757440

• Cardinal: 138819757440 can be written as One hundred thirty-eight billion, eight hundred nineteen million, seven hundred fifty-seven thousand, four hundred forty.

Scientific notation

• Scientific notation: 1.3881975744 × 10¹¹

Factors of 138819757440

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 13
• Sum of prime factors: 8318

Divisors of 138819757440

• Number of divisors d(n): 512
• Complete list of divisors:
  1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 32 35 39 40 42 48 52 56 60 64 65 70 78 80 84 91 96 97 104 105 112 120 128 130 140 156 160 168 182 192 194 195 208 210 224 240 260 273 280 291 312 320 336 364 384 388 390 416 420 448 455 480 485 520 546 560 582 624 640 672 679 728 776 780 832 840 896 910 960 970 1040 1092 1120 1164 1248 1261 1344 1358 1365 1455 1456 1552 1560 1664 1680 1820 1920 1940 2037 2080 2184 2240 2328 2496 2522 2688 2716 2730 2910 2912 3104 3120 3360 3395 3640 3783 3880 4074 4160 4368 4480 4656 4992 5044 5432 5460 5820 5824 6208 6240 6305 6720 6790 7280 7566 7760 8148 8191 8320 8736 8827 9312 10088 10185 10864 10920 11640 11648 12416 12480 12610 13440 13580 14560 15132 15520 16296 16382 17472 17654 18624 18915 20176 20370 21728 21840 23280 24573 24960 25220 26481 27160 29120 30264 31040 32592 32764 34944 35308 37248 37830 40352 40740 40955 43456 43680 44135 46560 49146 50440 52962 54320 57337 58240 60528 62080 65184 65528 70616 75660 80704 81480 81910 86912 87360 88270 93120 98292 100880 105924 106483 108640 114674 121056 122865 130368 131056 132405 141232 151320 161408 162960 163820 172011 174720 176540 186240 196584 201760 211848 212966 217280 229348 242112 245730 260736 262112 264810 282464 286685 302640 319449 325920 327640 344022 353080 393168 403520 423696 425932 434560 458696 484224 491460 524224 529620 532415 564928 573370 605280 638898 651840 655280 688044 706160 745381 786336 794527 807040 847392 851864 860055 917392 982920 1048448 1059240 1064830 1129856 1146740 1210560 1277796 1303680 1310560 1376088 1412320 1490762 1572672 1589054 1597245 1694784 1703728 1720110 1834784 1965840 2118480 2129660 2236143 2293480 2383581 2421120 2555592 2621120 2752176 2824640 2981524 3145344 3178108 3194490 3389568 3407456 3440220 3669568 3726905 3931680 3972635 4236960 4259320 4472286 4586960 4767162 5111184 5242240 5504352 5561689 5649280 5963048 6356216 6388980 6814912 6880440 7339136 7453810 7863360 7945270 8473920 8518640 8944572 9173920 9534324 10222368 10328851 11008704 11123378 11180715 11917905 11926096 12712432 12777960 13629824 13760880 14907620 15726720 15890540 16685067 16947840 17037280 17889144 18347840 19068648 20444736 20657702 22017408 22246756 22361430 23835810 23852192 25424864 25555920 27521760 27808445 29815240 30986553 31781080 33370134 34074560 35778288 36695680 38137296 40889472 41315404 44493512 44722860 47671620 47704384 50849728 51111840 51644255 55043520 55616890 59630480 61973106 63562160 66740268 68149120 71556576 72301957 76274592 82630808 83425335 88987024 89445720 95343240 95408768 101699456 102223680 103288510 110087040 111233780 119260960 123946212 127124320 133480536 143113152 144603914 152549184 154932765 165261616 166850670 177974048 178891440 190686480 204447360 206577020 216905871 222467560 238521920 247892424 254248640 266961072 286226304 289207828 305098368 309865530 330523232 333701340 355948096 357782880 361509785 381372960 413154040 433811742 444935120 477043840 495784848 508497280 533922144 578415656 619731060 661046464 667402680 711896192 715565760 723019570 762745920 826308080 867623484 889870240 991569696 1067844288 1084529355 1156831312 1239462120 1322092928 1334805360 1431131520 1446039140 1525491840 1652616160 1735246968 1779740480 1983139392 2135688576 2169058710 2313662624 2478924240 2669610720 2892078280 3305232320 3470493936 3559480960 3966278784 4338117420 4627325248 4957848480 5339221440 5784156560 6610464640 6940987872 8676234840 9254650496 9915696960 10678442880 11568313120 13881975744 17352469680 19831393920 23136626240 27763951488 34704939360 46273252480 69409878720 138819757440
• Sum of all divisors σ(n): 550282199040
• Sum of proper divisors (its aliquot sum) s(n): 411462441600
• 138819757440 is an abundant number, because the sum of its proper divisors (411462441600) is greater than itself. Its abundance is 272642684160

Bases of 138819757440

• Binary: 10000001010010010011010110010110000000₂
• Hexadecimal: 0x20524D6580
• Base-36: 1RRTP6DC

Squares and roots of 138819757440

• 138819757440 squared (138819757440²) is 19270925055700435353600
• 138819757440 cubed (138819757440³) is 2675185141876752925089152630784000
• The square root of 138819757440 is 372585.2351341905
• The cube root of 138819757440 is 5177.8614707167

Scales and comparisons

• 138,819,757,440 seconds is equal to 4,414 years, 2 weeks, 3 hours, 44 minutes.
• To count from 1 to 138,819,757,440 would take you about eight thousand, eight hundred twenty-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 138819757440 cubic inches would be around 431.5 feet tall.

Recreational maths with 138819757440

• 138819757440 backwards is 044757918831
• The number of decimal digits it has is: 12
• The sum of 138819757440's digits is 57
• More coming soon!