138946981824
138,946,981,824 is an even composite number composed of seven prime numbers multiplied together.
138946981824 is an even composite number. It is composed of seven distinct prime numbers multiplied together. It has a total of eight hundred ninety-six divisors.
Prime factorization of 138946981824:
26 × 33 × 7 × 17 × 31 × 71 × 307
(2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 7 × 17 × 31 × 71 × 307)See below for interesting mathematical facts about the number 138946981824 from the Numbermatics database.
Names of 138946981824
- Cardinal: 138946981824 can be written as One hundred thirty-eight billion, nine hundred forty-six million, nine hundred eighty-one thousand, eight hundred twenty-four.
Scientific notation
- Scientific notation: 1.38946981824 × 1011
Factors of 138946981824
Divisors of 138946981824
- Number of divisors d(n): 896
-
Complete list of divisors:
1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 27 28 31 32 34 36 42 48 51 54 56 62 63 64 68 71 72 84 93 96 102 108 112 119 124 126 136 142 144 153 168 186 189 192 204 213 216 217 224 238 248 252 272 279 284 288 306 307 336 357 372 378 408 426 432 434 448 459 476 496 497 504 527 544 558 568 576 612 614 639 651 672 714 744 756 816 837 852 864 868 918 921 952 992 994 1008 1054 1071 1088 1116 1136 1207 1224 1228 1278 1302 1344 1428 1488 1491 1512 1581 1632 1674 1704 1728 1736 1836 1842 1904 1917 1953 1984 1988 2016 2108 2142 2149 2201 2232 2272 2414 2448 2456 2556 2604 2763 2856 2976 2982 3024 3162 3213 3264 3348 3408 3472 3621 3672 3684 3689 3808 3834 3906 3976 4032 4216 4284 4298 4402 4464 4473 4544 4743 4828 4896 4912 5112 5208 5219 5526 5712 5859 5952 5964 6048 6324 6426 6447 6603 6696 6816 6944 7242 7344 7368 7378 7616 7668 7812 7952 8289 8432 8449 8568 8596 8804 8928 8946 9486 9517 9656 9792 9824 10224 10416 10438 10863 11052 11067 11424 11718 11928 12096 12648 12852 12894 13206 13392 13419 13632 13888 14229 14484 14688 14736 14756 15336 15407 15624 15657 15904 16578 16864 16898 17136 17192 17608 17856 17892 18972 19034 19312 19341 19648 19809 20448 20832 20876 21726 21797 22104 22134 22848 23436 23856 25296 25347 25704 25788 26412 26784 26838 28458 28551 28968 29376 29472 29512 30672 30814 31248 31314 31808 32589 33156 33201 33728 33796 34272 34384 35216 35784 36533 37417 37944 38068 38624 38682 39618 40896 41664 41752 43452 43594 44208 44268 46221 46872 46971 47712 50592 50694 51408 51576 52824 53568 53676 56916 57102 57936 58023 58944 59024 59427 61344 61628 62496 62628 65178 65391 66312 66402 66619 67592 68544 68768 70432 71568 73066 74834 75888 76041 76136 77248 77364 79236 83504 85653 86904 87188 88416 88536 92442 93744 93942 95424 99603 101184 101388 102816 103152 105648 107352 109599 112251 113832 114204 115872 116046 118048 118854 122688 123256 124992 125256 130356 130782 132624 132804 133238 135184 137536 138663 140864 140913 143136 146132 149668 151776 152082 152272 152579 154728 158472 161789 167008 171306 173808 174376 176832 177072 184884 187488 187884 196173 199206 199857 202776 205632 206304 211296 214704 219198 224502 227664 228123 228408 231744 232092 236096 237708 246512 250512 256959 260712 261564 261919 265248 265608 266476 270368 277326 281826 286272 292264 299336 303552 304164 304544 305158 309456 316944 323578 328797 334016 336753 342612 347616 348752 354144 369768 370549 374976 375768 392346 398412 399714 405552 412608 415989 422592 429408 438396 449004 455328 456246 456816 457737 464184 475416 485367 493024 501024 513918 521424 523128 523838 530496 531216 532952 540736 554652 563652 584528 588519 598672 599571 608328 609088 610316 618912 633888 647156 657594 673506 675707 685224 695232 697504 708288 739536 741098 751536 784692 785757 796824 799428 811104 831978 858816 876792 898008 910656 912492 913632 915474 928368 950832 970734 986048 986391 1002048 1010259 1027836 1042848 1046256 1047676 1062432 1065904 1109304 1111647 1127304 1132523 1169056 1177038 1197344 1199142 1216656 1220632 1237824 1267776 1294312 1315188 1347012 1351414 1370448 1373211 1395008 1456101 1479072 1482196 1503072 1569384 1571514 1593648 1598856 1622208 1663956 1753584 1796016 1798713 1824984 1827264 1830948 1856736 1901664 1941468 1972782 2020518 2027121 2055672 2085696 2092512 2095352 2124864 2131808 2218608 2223294 2254608 2265046 2338112 2354076 2357271 2394688 2398284 2433312 2441264 2588624 2593843 2630376 2694024 2702828 2740896 2746422 2912202 2958144 2964392 3006144 3138768 3143028 3187296 3197712 3327912 3334941 3397569 3507168 3592032 3597426 3649968 3661896 3713472 3803328 3882936 3945564 4041036 4054242 4111344 4119633 4185024 4190704 4263616 4368303 4437216 4446588 4509216 4530092 4708152 4714542 4729949 4796568 4866624 4882528 5177248 5187686 5260752 5388048 5405656 5481792 5492844 5824404 5928784 6081363 6277536 6286056 6374592 6395424 6655824 6669882 6795138 7014336 7071813 7184064 7194852 7299936 7323792 7765872 7781529 7891128 8082072 8108484 8222688 8239266 8381408 8736606 8874432 8893176 9018432 9060184 9416304 9429084 9459898 9593136 9765056 10004823 10192707 10354496 10375372 10521504 10776096 10811312 10985688 11487019 11648808 11857568 12162726 12555072 12572112 12790848 13311648 13339764 13590276 14143626 14189847 14389704 14599872 14647584 15531744 15563058 15782256 16164144 16216968 16445376 16478532 16762816 17473212 17786352 18120368 18244089 18832608 18858168 18919796 19186272 20009646 20385414 20750744 21043008 21552192 21622624 21971376 22974038 23297616 23344587 23715136 24325452 25144224 26623296 26679528 27180552 28287252 28379694 28779408 29295168 30578121 31063488 31126116 31564512 32328288 32433936 32957064 34461057 34946424 35572704 36240736 36488178 37665216 37716336 37839592 38372544 40019292 40770828 41501488 42569541 43245248 43942752 45948076 46595232 46689174 48650904 50288448 53359056 54361104 56574504 56759388 57558816 61156242 62252232 63129024 64656576 64867872 65914128 68922114 69892848 70033761 71145408 72481472 72976356 75432672 75679184 80038584 80409133 81541656 83002976 85139082 87885504 91896152 93190464 93378348 97301808 103383171 106718112 108722208 113149008 113518776 115117632 122312484 124504464 127708623 129735744 131828256 137844228 139785696 140067522 145952712 150865344 151358368 160077168 160818266 163083312 166005952 170278164 183792304 186756696 194603616 206766342 213436224 217444416 226298016 227037552 241227399 244624968 249008928 255417246 263656512 275688456 279571392 280135044 291905424 302716736 310149513 320154336 321636532 326166624 340556328 367584608 373513392 389207232 413532684 452596032 454075104 482454798 489249936 498017856 510834492 551376912 560270088 583810848 620299026 640308672 643273064 652333248 681112656 723682197 735169216 747026784 827065368 908150208 964909596 978499872 1021668984 1102753824 1120540176 1167621696 1240598052 1286546128 1362225312 1447364394 1494053568 1654130736 1929819192 1956999744 2043337968 2171046591 2205507648 2241080352 2481196104 2573092256 2724450624 2894728788 3308261472 3859638384 4086675936 4342093182 4482160704 4962392208 5146184512 5789457576 6616522944 7719276768 8173351872 8684186364 9924784416 11578915152 15438553536 17368372728 19849568832 23157830304 34736745456 46315660608 69473490912 138946981824
- Sum of all divisors σ(n): 519110000640
- Sum of proper divisors (its aliquot sum) s(n): 380163018816
- 138946981824 is an abundant number, because the sum of its proper divisors (380163018816) is greater than itself. Its abundance is 241216036992
Bases of 138946981824
- Binary: 100000010110011110001010101111110000002
- Hexadecimal: 0x2059E2AFC0
- Base-36: 1RTXG1C0
Squares and roots of 138946981824
- 138946981824 squared (1389469818242) is 19306263757998986366976
- 138946981824 cubed (1389469818243) is 2682547079472035093342638065844224
-
The
square root of 138946981824 is 372755.9279528631 -
The
cube root of 138946981824 is 5179.4427756371
Scales and comparisons
How big is 138946981824?- 138,946,981,824 seconds is equal to 4,418 years, 4 weeks, 2 days, 15 hours, 50 minutes, 24 seconds.
-
To count from 1 to 138,946,981,824 would take you about eight thousand, eight hundred thirty-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 138946981824 cubic inches would be around 431.6 feet tall.
Recreational maths with 138946981824
- 138946981824 backwards is 428189649831
- 138946981824 is a
Harshad number . - The number of decimal digits it has is: 12
- The sum of 138946981824's digits is 63
- More coming soon!
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The information we have on file for 138946981824 includes mathematical data and numerical statistics calculated using standard algorithms and methods. We are adding more all the time. If there are any features you would like to see, please contact us. Information provided for educational use, intellectual curiosity and fun!
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