138188865325056

Names of 138188865325056

• Cardinal: 138188865325056 can be written as One hundred thirty-eight trillion, one hundred eighty-eight billion, eight hundred sixty-five million, three hundred twenty-five thousand and fifty-six.

Scientific notation

• Scientific notation: 1.38188865325056 × 10¹⁴

Factors of 138188865325056

• Number of distinct prime factors ω(n): 7
• Total number of prime factors Ω(n): 17
• Sum of prime factors: 78624

Divisors of 138188865325056

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 32 39 42 46 48 52 56 64 69 78 84 91 92 96 104 112 128 137 138 156 161 168 182 184 192 208 224 256 273 274 276 299 312 322 336 364 368 384 411 416 448 483 512 546 548 552 598 624 644 672 728 736 768 822 832 896 897 959 966 1024 1092 1096 1104 1196 1248 1288 1344 1456 1472 1536 1644 1664 1781 1792 1794 1918 1932 2048 2093 2184 2192 2208 2392 2496 2576 2688 2877 2912 2944 3072 3151 3288 3328 3562 3584 3588 3836 3864 4186 4368 4384 4416 4784 4992 5152 5343 5376 5754 5824 5888 6144 6279 6302 6576 6656 7124 7168 7176 7672 7728 8372 8736 8768 8832 9453 9568 9984 10304 10686 10752 11508 11648 11776 12467 12558 12604 13152 13312 14248 14336 14352 15344 15456 16744 17472 17536 17664 18906 19136 19968 20608 21372 21504 22057 23016 23296 23552 24934 25116 25208 26304 26624 28496 28704 30688 30912 33488 34944 35072 35328 37401 37812 38272 39936 40963 41216 42744 43008 44114 46032 46592 47104 49868 50232 50416 52608 56992 57408 61376 61824 66171 66976 69888 70144 70656 74802 75624 76544 78439 79872 81926 82432 85488 88228 92064 93184 99736 100464 100832 105216 113984 114816 122752 122889 123648 132342 133952 139776 140288 141312 149604 151248 153088 156878 163852 164864 170976 176456 184128 186368 199472 200928 201664 210432 227968 229632 235317 245504 245778 247296 264684 267904 279552 280576 286741 299208 302496 306176 313756 327704 329728 341952 352912 368256 398944 401856 403328 420864 455936 459264 470634 491008 491556 494592 529368 535808 549073 559104 573482 598416 604992 612352 627512 655408 683904 705824 736512 797888 803712 806656 841728 860223 911872 918528 941268 982016 983112 989184 1019707 1058736 1071616 1098146 1146964 1196832 1209984 1255024 1310816 1367808 1411648 1473024 1595776 1607424 1613312 1647219 1720446 1804097 1823744 1837056 1882536 1964032 1966224 2039414 2117472 2143232 2196292 2293928 2393664 2419968 2510048 2621632 2735616 2823296 2946048 3059121 3191552 3214848 3226624 3294438 3440892 3608194 3647488 3765072 3932448 4078828 4234944 4286464 4392584 4587856 4787328 4839936 5020096 5243264 5412291 5471232 5646592 5892096 6118242 6383104 6429696 6453248 6588876 6881784 7137949 7216388 7530144 7864896 8157656 8469888 8785168 9175712 9574656 9679872 10040192 10486528 10746143 10824582 10942464 11293184 12236484 12628679 12766208 12859392 13177752 13763568 14275898 14432776 15060288 15729792 16315312 16939776 17570336 18351424 19149312 19359744 20080384 20973056 21413847 21492286 21649164 22586368 23453261 24472968 25257358 25532416 26355504 27527136 28551796 28865552 30120576 31459584 32238429 32630624 33879552 35140672 36702848 37886037 38298624 40160768 41946112 42827694 42984572 43298328 45172736 46906522 48945936 50514716 52711008 55054272 57103592 57731104 60241152 62919168 64476858 65261248 67759104 70281344 70359783 73405696 75223001 75772074 76597248 80321536 83892224 85655388 85969144 86596656 93813044 97891872 101029432 105422016 110108544 114207184 115462208 120482304 125838336 128953716 130522496 135518208 139699859 140562688 140719566 146811392 150446002 151544148 160643072 164172827 171310776 171938288 173193312 187626088 195783744 202058864 210844032 220217088 225669003 228414368 230924416 240964608 247161289 251676672 257907432 261044992 279399718 281125376 281439132 293622784 300892004 303088296 328345654 342621552 343876576 346386624 375252176 391567488 404117728 419099577 421688064 440434176 451338006 456828736 461848832 481929216 492518481 494322578 515814864 522089984 558799436 562250752 562878264 587245568 601784008 606176592 656691308 685243104 687753152 692773248 741483867 750504352 783134976 808235456 838199154 843376128 880868352 902676012 913657472 923697664 977899013 985036962 988645156 1031629728 1044179968 1117598872 1124501504 1125756528 1203568016 1212353184 1313382616 1370486208 1375506304 1385546496 1482967734 1501008704 1566269952 1616470912 1676398308 1686752256 1730129023 1761736704 1805352024 1827314944 1847395328 1955798026 1970073924 1977290312 2063259456 2088359936 2235197744 2251513056 2407136032 2424706368 2626765232 2740972416 2751012608 2771092992 2933697039 2965935468 3002017408 3132539904 3213096757 3232941824 3352796616 3373504512 3460258046 3610704048 3654629888 3694790656 3911596052 3940147848 3954580624 4126518912 4470395488 4503026112 4814272064 4849412736 5190387069 5253530464 5481944832 5502025216 5542185984 5867394078 5931870936 6004034816 6265079808 6426193514 6465883648 6705593232 6920516092 7221408096 7309259776 7823192104 7880295696 7909161248 8253037824 8940790976 9006052224 9628544128 9639290271 9698825472 10380774138 10507060928 10963889664 11004050432 11084371968 11734788156 11863741872 12008069632 12852387028 12931767296 13411186464 13841032184 14442816192 14618519552 15646384208 15760591392 15818322496 16506075648 17881581952 18012104448 19257088256 19278580542 19397650944 20761548276 21014121856 21927779328 22008100864 22491677299 23469576312 23727483744 24016139264 25704774056 25863534592 26822372928 27682064368 28885632384 31292768416 31521182784 31636644992 33012151296 35763163904 36024208896 38514176512 38557161084 38795301888 41523096552 42028243712 43855558656 44983354598 46939152624 47454967488 48032278528 51409548112 53644745856 55364128736 57771264768 62585536832 63042365568 63273289984 66024302592 67475031897 71526327808 72048417792 77028353024 77114322168 77590603776 83046193104 84056487424 89966709196 93878305248 94909934976 102819096224 107289491712 110728257472 115542529536 125171073664 126084731136 126546579968 134950063794 143052655616 144096835584 154056706048 154228644336 166092386208 168112974848 179933418392 187756610496 189819869952 205638192448 214578983424 221456514944 231085059072 250342147328 252169462272 253093159936 269900127588 286105311232 308457288672 332184772416 336225949696 359866836784 375513220992 379639739904 411276384896 429157966848 442913029888 462170118144 500684294656 504338924544 506186319872 539800255176 616914577344 664369544832 719733673568 751026441984 759279479808 822552769792 858315933696 885826059776 1001368589312 1008677849088 1079600510352 1233829154688 1328739089664 1439467347136 1502052883968 1518558959616 1645105539584 1771652119552 2002737178624 2159201020704 2467658309376 2657478179328 2878934694272 3004105767936 3290211079168 3543304239104 4318402041408 4935316618752 5314956358656 5757869388544 6008211535872 6580422158336 8636804082816 9870633237504 10629912717312 11515738777088 17273608165632 19741266475008 23031477554176 34547216331264 46062955108352 69094432662528 138188865325056
• Sum of all divisors σ(n): 476606359756800
• Sum of proper divisors (its aliquot sum) s(n): 338417494431744
• 138188865325056 is an abundant number, because the sum of its proper divisors (338417494431744) is greater than itself. Its abundance is 200228629106688

Bases of 138188865325056

• Binary: 11111011010111010011010001110101100100000000000₂
• Hexadecimal: 0x7DAE9A3AC800
• Base-36: 1CZF36HEYO

Squares and roots of 138188865325056

• 138188865325056 squared (138188865325056²) is 19096162499826464508541403136
• 138188865325056 cubed (138188865325056³) is 2638877027913904024941710552159714977775616
• The square root of 138188865325056 is 11755376.0180206911
• The cube root of 138188865325056 is 51700.0564089259

Scales and comparisons

• 138,188,865,325,056 seconds is equal to 4,393,978 years, 24 weeks, 3 days, 11 hours, 37 minutes, 36 seconds.
• To count from 1 to 138,188,865,325,056 would take you about ten million, nine hundred eighty-four thousand, nine hundred forty-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 138188865325056 cubic inches would be around 4308.3 feet tall.

Recreational maths with 138188865325056

• 138188865325056 backwards is 650523568881831
• 138188865325056 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 138188865325056's digits is 69
• More coming soon!