138798330624

Names of 138798330624

• Cardinal: 138798330624 can be written as One hundred thirty-eight billion, seven hundred ninety-eight million, three hundred thirty thousand, six hundred twenty-four.

Scientific notation

• Scientific notation: 1.38798330624 × 10¹¹

Factors of 138798330624

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 15
• Sum of prime factors: 489

Divisors of 138798330624

• Number of divisors d(n): 576
• 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 72 76 93 96 103 108 114 124 128 144 152 171 186 192 206 216 228 248 256 279 288 304 309 331 342 372 384 412 432 456 496 513 558 576 589 608 618 662 684 744 768 824 837 864 912 927 992 993 1026 1116 1152 1178 1216 1236 1324 1368 1488 1648 1674 1728 1767 1824 1854 1957 1984 1986 2052 2232 2304 2356 2432 2472 2648 2736 2781 2976 2979 3193 3296 3348 3456 3534 3648 3708 3914 3968 3972 4104 4464 4712 4864 4944 5296 5301 5472 5562 5871 5952 5958 6289 6386 6592 6696 6912 7068 7296 7416 7828 7936 7944 8208 8928 8937 9424 9579 9888 10261 10592 10602 10944 11124 11742 11904 11916 12578 12772 13184 13392 14136 14592 14832 15656 15888 15903 16416 17613 17856 17874 18848 18867 19158 19776 20522 21184 21204 21888 22248 23484 23808 23832 25156 25544 26368 26784 28272 28737 29664 30783 31312 31776 31806 32832 34093 35226 35712 35748 37696 37734 38316 39552 41044 42368 42408 43776 44496 46968 47664 50312 51088 52839 53568 56544 56601 57474 59328 60667 61566 62624 63552 63612 65664 68186 70452 71424 71496 75392 75468 76632 79104 82088 84736 84816 86211 88992 92349 93936 95328 100624 102176 102279 105678 107136 113088 113202 114948 118656 121334 123132 125248 127104 127224 131328 136372 140904 142992 150784 150936 153264 164176 169632 169803 172422 177984 182001 184698 187872 190656 194959 201248 204352 204558 211356 214272 226176 226404 229896 237312 242668 246264 250496 254208 254448 272744 277047 281808 285984 301872 306528 306837 328352 339264 339606 344844 355968 364002 369396 375744 381312 389918 402496 408704 409116 422712 452352 452808 459792 485336 492528 500992 508896 545488 546003 554094 563616 571968 584877 603744 613056 613674 647767 656704 678528 679212 689688 711936 728004 738792 751488 762624 779836 804992 817408 818232 845424 905616 919584 920511 970672 985056 1017792 1056883 1090976 1092006 1108188 1127232 1143936 1169754 1207488 1226112 1227348 1295534 1313408 1357056 1358424 1379376 1456008 1477584 1502976 1559672 1609984 1636464 1638009 1690848 1754631 1811232 1839168 1841022 1941344 1943301 1970112 2035584 2113766 2181952 2184012 2216376 2254464 2287872 2339508 2414976 2452224 2454696 2591068 2626816 2716848 2758752 2912016 2955168 3119344 3170649 3272928 3276018 3381696 3509262 3622464 3678336 3682044 3882688 3886602 3940224 4071168 4227532 4363904 4368024 4432752 4508928 4679016 4829952 4909392 5182136 5263893 5433696 5517504 5824032 5829903 5910336 6238688 6341298 6545856 6552036 6763392 7018524 7244928 7356672 7364088 7765376 7773204 7880448 8455064 8727808 8736048 8865504 9358032 9511947 9818784 10364272 10527786 10867392 11035008 11648064 11659806 11820672 12477376 12682596 13091712 13104072 13526784 14037048 14489856 14728176 15530752 15546408 16910128 17472096 17489709 17731008 18716064 19023894 19637568 20080777 20728544 21055572 21734784 22070016 23296128 23319612 23641344 24954752 25365192 26183424 26208144 28074096 28535841 29456352 31092816 33820256 34944192 34979418 35462016 37432128 38047788 39275136 40161554 41457088 42111144 43469568 46592256 46639224 49909504 50730384 52416288 56148192 57071682 58912704 60242331 62185632 67640512 69888384 69958836 70924032 74864256 76095576 78550272 80323108 82914176 84222288 93278448 101460768 104832576 112296384 114143364 117825408 120484662 124371264 135281024 139776768 139917672 149728512 152191152 160646216 165828352 168444576 180726993 186556896 202921536 209665152 224592768 228286728 235650816 240969324 248742528 270562048 279835344 304382304 321292432 336889152 361453986 373113792 405843072 419330304 449185536 456573456 481938648 497485056 542180979 559670688 608764608 642584864 673778304 722907972 746227584 811686144 913146912 963877296 1084361958 1119341376 1217529216 1285169728 1347556608 1445815944 1492455168 1826293824 1927754592 2168723916 2238682752 2435058432 2570339456 2891631888 3652587648 3855509184 4337447832 4477365504 5140678912 5783263776 7305175296 7711018368 8674895664 11566527552 15422036736 17349791328 23133055104 34699582656 46266110208 69399165312 138798330624
• Sum of all divisors σ(n): 451681484800
• Sum of proper divisors (its aliquot sum) s(n): 312883154176
• 138798330624 is an abundant number, because the sum of its proper divisors (312883154176) is greater than itself. Its abundance is 174084823552

Bases of 138798330624

• Binary: 10000001010001000001100111001100000000₂
• Hexadecimal: 0x2051067300
• Base-36: 1RRGXXC0

Squares and roots of 138798330624

• 138798330624 squared (138798330624²) is 19264976584009216229376
• 138798330624 cubed (138798330624³) is 2673946589370929305668036669210624
• The square root of 138798330624 is 372556.4797772279
• The cube root of 138798330624 is 5177.5950562053

Scales and comparisons

• 138,798,330,624 seconds is equal to 4,413 years, 18 weeks, 4 days, 3 hours, 50 minutes, 24 seconds.
• To count from 1 to 138,798,330,624 would take you about eight thousand, eight hundred twenty-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 138798330624 cubic inches would be around 431.5 feet tall.

Recreational maths with 138798330624

• 138798330624 backwards is 426033897831
• 138798330624 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138798330624's digits is 54
• More coming soon!