138528615744

Names of 138528615744

• Cardinal: 138528615744 can be written as One hundred thirty-eight billion, five hundred twenty-eight million, six hundred fifteen thousand, seven hundred forty-four.

Scientific notation

• Scientific notation: 1.38528615744 × 10¹¹

Factors of 138528615744

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 16
• Sum of prime factors: 126

Divisors of 138528615744

• Number of divisors d(n): 588
• Complete list of divisors:
  1 2 3 4 6 8 9 12 16 18 19 24 27 31 32 36 38 48 54 57 62 64 71 72 76 81 93 96 108 114 124 142 144 152 162 171 186 192 213 216 228 243 248 279 284 288 304 324 342 372 426 432 456 486 496 513 558 568 576 589 608 639 648 684 729 744 837 852 864 912 972 992 1026 1116 1136 1178 1216 1278 1296 1349 1368 1458 1488 1539 1674 1704 1728 1767 1824 1917 1944 1984 2052 2201 2232 2272 2356 2511 2556 2592 2698 2736 2916 2976 3078 3348 3408 3534 3648 3834 3888 4047 4104 4402 4464 4544 4617 4712 5022 5041 5112 5184 5301 5396 5472 5751 5832 5952 6156 6603 6696 6816 7068 7533 7668 7776 8094 8208 8804 8928 9234 9424 10044 10082 10224 10602 10792 10944 11502 11664 12141 12312 13206 13392 13632 13851 14136 15066 15123 15336 15552 15903 16188 16416 17253 17608 17856 18468 18848 19809 20088 20164 20448 21204 21584 22599 23004 23328 24282 24624 26412 26784 27702 28272 30132 30246 30672 31806 32376 32832 34506 35216 36423 36936 37696 39618 40176 40328 40896 41819 42408 43168 45198 45369 46008 46656 47709 48564 49248 51759 52824 53568 55404 56544 59427 60264 60492 61344 63612 64752 69012 70432 72846 73872 79236 80352 80656 83638 84816 86336 90396 90738 92016 95418 95779 97128 98496 103518 105648 109269 110808 113088 118854 120528 120984 122688 125457 127224 129504 136107 138024 140864 143127 145692 147744 156271 158472 160704 161312 167276 169632 178281 180792 181476 184032 190836 191558 194256 207036 211296 218538 221616 237708 241056 241968 250914 254448 259008 272214 276048 286254 287337 291384 295488 312542 316944 322624 327807 334552 339264 356562 361584 362952 368064 376371 381672 383116 388512 408321 414072 422592 429381 437076 443232 468813 475416 482112 483936 501828 508896 534843 544428 552096 572508 574674 582768 625084 633888 655614 669104 713124 723168 725904 752742 763344 766232 777024 816642 828144 858762 862011 874152 886464 937626 950832 967872 983421 1003656 1017792 1069686 1088856 1104192 1129113 1145016 1149348 1165536 1224963 1250168 1267776 1311228 1338208 1406439 1426248 1446336 1451808 1505484 1526688 1532464 1604529 1633284 1656288 1717524 1724022 1748304 1875252 1901664 1966842 2007312 2139372 2177712 2258226 2290032 2298696 2331072 2449926 2500336 2586033 2622456 2676416 2812878 2852496 2903616 2969149 3010968 3053376 3064928 3209058 3266568 3312576 3387339 3435048 3448044 3496608 3674889 3750504 3803328 3933684 4014624 4219317 4278744 4355424 4516452 4580064 4597392 4899852 5000672 5172066 5244912 5625756 5704992 5938298 6021936 6129856 6418116 6533136 6774678 6870096 6896088 6993216 7349778 7501008 7758099 7867368 8029248 8438634 8557488 8710848 8907447 9032904 9160128 9194784 9799704 10001344 10162017 10344132 10489824 11251512 11409984 11876596 12043872 12657951 12836232 13066272 13549356 13740192 13792176 14699556 15002016 15516198 15734736 16877268 17114976 17814894 18065808 18389568 19599408 20324034 20688264 20979648 22503024 23274297 23753192 24087744 25315902 25672464 26132544 26722341 27098712 27480384 27584352 29399112 30004032 30486051 31032396 31469472 33754536 34229952 35629788 36131616 37973853 39198816 40648068 41376528 45006048 46548594 47506384 50631804 51344928 53444682 54197424 55168704 58798224 60972102 62064792 62938944 67509072 69822891 71259576 72263232 75947706 78397632 80167023 81296136 82753056 90012096 93097188 95012768 101263608 102689856 106889364 108394848 113921559 117596448 121944204 124129584 135018144 139645782 142519152 151895412 160334046 162592272 165506112 186194376 190025536 202527216 213778728 216789696 227843118 235192896 240501069 243888408 248259168 270036288 279291564 285038304 303790824 320668092 325184544 372388752 405054432 427557456 455686236 481002138 487776816 496518336 558583128 570076608 607581648 641336184 650369088 721503207 744777504 810108864 855114912 911372472 962004276 975553632 1117166256 1215163296 1282672368 1443006414 1489555008 1710229824 1822744944 1924008552 1951107264 2164509621 2234332512 2430326592 2565344736 2886012828 3645489888 3848017104 4329019242 4468665024 5130689472 5772025656 7290979776 7696034208 8658038484 11544051312 15392068416 17316076968 23088102624 34632153936 46176205248 69264307872 138528615744
• Sum of all divisors σ(n): 454234011520
• Sum of proper divisors (its aliquot sum) s(n): 315705395776
• 138528615744 is an abundant number, because the sum of its proper divisors (315705395776) is greater than itself. Its abundance is 177176780032

Bases of 138528615744

• Binary: 10000001000000111100101110110101000000₂
• Hexadecimal: 0x2040F2ED40
• Base-36: 1RN0D000

Squares and roots of 138528615744

• 138528615744 squared (138528615744²) is 19190177379948804673536
• 138528615744 cubed (138528615744³) is 2658388708326128653012379909750784
• The square root of 138528615744 is 372194.3252442197
• The cube root of 138528615744 is 5174.2391561969

Scales and comparisons

• 138,528,615,744 seconds is equal to 4,404 years, 40 weeks, 4 days, 11 hours, 2 minutes, 24 seconds.
• To count from 1 to 138,528,615,744 would take you about eight thousand, eight hundred nine 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 138528615744 cubic inches would be around 431.2 feet tall.

Recreational maths with 138528615744

• 138528615744 backwards is 447516825831
• 138528615744 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138528615744's digits is 54
• More coming soon!