138337984512

Names of 138337984512

• Cardinal: 138337984512 can be written as One hundred thirty-eight billion, three hundred thirty-seven million, nine hundred eighty-four thousand, five hundred twelve.

Scientific notation

• Scientific notation: 1.38337984512 × 10¹¹

Factors of 138337984512

• Number of distinct prime factors ω(n): 6
• Total number of prime factors Ω(n): 21
• Sum of prime factors: 133

Divisors of 138337984512

• Number of divisors d(n): 1120
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 27 28 29 32 36 39 42 48 52 54 56 58 63 64 72 78 79 81 84 87 91 96 104 108 112 116 117 126 128 144 156 158 162 168 174 182 189 192 203 208 216 224 232 234 237 252 256 261 273 288 312 316 324 336 348 351 364 377 378 384 406 416 432 448 464 468 474 504 512 522 546 553 567 576 609 624 632 648 672 696 702 711 728 754 756 768 783 812 819 832 864 896 928 936 948 1008 1024 1027 1044 1053 1092 1106 1131 1134 1152 1218 1248 1264 1296 1344 1392 1404 1422 1456 1508 1512 1536 1566 1624 1638 1659 1664 1728 1792 1827 1856 1872 1896 2016 2048 2054 2088 2106 2133 2184 2212 2262 2268 2291 2304 2349 2436 2457 2496 2528 2592 2639 2688 2784 2808 2844 2912 3016 3024 3072 3081 3132 3248 3276 3318 3328 3393 3456 3584 3654 3712 3744 3792 4032 4096 4108 4176 4212 4266 4368 4424 4524 4536 4582 4608 4698 4872 4914 4977 4992 5056 5184 5278 5376 5481 5568 5616 5688 5824 6032 6048 6144 6162 6264 6399 6496 6552 6636 6656 6786 6873 6912 7168 7189 7308 7371 7424 7488 7584 7917 8064 8192 8216 8352 8424 8532 8736 8848 9048 9072 9164 9216 9243 9396 9744 9828 9954 9984 10112 10179 10368 10556 10752 10962 11136 11232 11376 11648 12064 12096 12288 12324 12528 12798 12992 13104 13272 13312 13572 13746 13824 14336 14378 14616 14742 14848 14931 14976 15168 15834 16037 16128 16432 16443 16704 16848 17064 17472 17696 18096 18144 18328 18432 18486 18792 19488 19656 19908 19968 20224 20358 20619 20736 21112 21504 21567 21924 22272 22464 22752 23296 23751 24128 24192 24576 24648 25056 25596 25984 26208 26544 26624 27144 27492 27648 27729 28672 28756 29232 29484 29696 29783 29862 29952 30336 30537 31668 32074 32256 32864 32886 33408 33696 34128 34944 35392 36192 36288 36656 36864 36972 37584 38976 39312 39816 39936 40448 40716 41238 41472 42224 43008 43134 43848 44544 44793 44928 45504 46592 47502 48111 48256 48384 49296 50112 51192 51968 52416 53088 53248 54288 54984 55296 55458 57344 57512 58464 58968 59392 59566 59724 59904 60672 61074 61857 63336 64148 64512 64701 65728 65772 66816 67392 68256 69888 70784 71253 72384 72576 73312 73728 73944 75168 77952 78624 79632 79872 80896 81432 82476 82944 83187 84448 86016 86268 87696 89088 89349 89586 89856 91008 93184 95004 96222 96512 96768 98592 100224 102384 103936 104832 106176 106496 108576 109968 110592 110916 115024 116928 117936 118784 119132 119448 119808 121344 122148 123714 126672 128296 129024 129402 131456 131544 133632 134784 136512 139776 141568 142506 144333 144768 145152 146624 147888 150336 155904 157248 159264 159744 161792 162864 164952 165888 166374 168896 172032 172536 175392 178176 178698 179172 179712 182016 185571 186368 190008 192444 193024 193536 194103 197184 200448 204768 207872 208481 209664 212352 213759 217152 219936 221184 221832 230048 233856 235872 237568 238264 238896 239616 242688 244296 247428 253344 256592 258048 258804 262912 263088 267264 268047 269568 273024 279552 283136 285012 288666 289536 290304 293248 295776 300672 311808 314496 318528 319488 323584 325728 329904 331776 332748 337792 345072 350784 356352 357396 358344 359424 364032 371142 372736 380016 384888 386048 387072 388206 394368 400896 409536 415744 416962 419328 424704 427518 432999 434304 439872 443664 460096 467712 471744 476528 477792 479232 485376 488592 494856 506688 513184 516096 517608 525824 526176 534528 536094 539136 546048 559104 566272 570024 577332 579072 580608 582309 586496 591552 601344 623616 625443 628992 637056 647168 651456 659808 663552 665496 675584 690144 701568 712704 714792 716688 718848 728064 742284 745472 760032 769776 772096 774144 776412 788736 801792 804141 819072 831488 833924 838656 849408 855036 865998 868608 879744 887328 920192 935424 943488 953056 955584 958464 970752 977184 989712 1013376 1026368 1035216 1051648 1052352 1069056 1072188 1078272 1092096 1118208 1132544 1140048 1154664 1158144 1161216 1164618 1172992 1183104 1202688 1247232 1250886 1257984 1274112 1298997 1302912 1319616 1330992 1351168 1380288 1403136 1429584 1433376 1437696 1456128 1484568 1520064 1539552 1544192 1548288 1552824 1577472 1603584 1608282 1638144 1662976 1667848 1677312 1698816 1710072 1731996 1737216 1759488 1774656 1840384 1870848 1876329 1886976 1906112 1911168 1941504 1954368 1979424 2026752 2052736 2070432 2103296 2104704 2138112 2144376 2156544 2184192 2236416 2265088 2280096 2309328 2316288 2322432 2329236 2345984 2366208 2405376 2412423 2494464 2501772 2515968 2548224 2597994 2605824 2639232 2661984 2702336 2760576 2806272 2859168 2866752 2875392 2912256 2969136 3040128 3079104 3088384 3105648 3154944 3207168 3216564 3276288 3335696 3354624 3397632 3420144 3463992 3474432 3518976 3549312 3680768 3741696 3752658 3773952 3812224 3822336 3908736 3958848 4053504 4105472 4140864 4206592 4209408 4288752 4313088 4368384 4530176 4560192 4618656 4632576 4644864 4658472 4691968 4732416 4810752 4824846 4988928 5003544 5031936 5096448 5195988 5211648 5278464 5323968 5404672 5521152 5612544 5628987 5718336 5733504 5824512 5938272 6080256 6158208 6211296 6309888 6414336 6433128 6552576 6671392 6709248 6795264 6840288 6927984 6948864 7037952 7098624 7361536 7483392 7505316 7547904 7624448 7644672 7817472 7917696 8107008 8210944 8281728 8413184 8418816 8577504 8626176 8736768 9120384 9237312 9265152 9316944 9383936 9464832 9621504 9649692 10007088 10063872 10192896 10391976 10423296 10556928 10647936 10809344 11042304 11225088 11257974 11436672 11467008 11876544 12160512 12316416 12422592 12619776 12866256 13105152 13342784 13590528 13680576 13855968 13897728 14075904 14197248 14723072 14966784 15010632 15095808 15248896 15289344 15634944 15835392 16214016 16421888 16563456 16837632 16886961 17155008 17473536 18240768 18474624 18633888 18767872 18929664 19243008 19299384 20014176 20127744 20385792 20783952 20846592 21113856 21295872 21618688 22084608 22450176 22515948 22873344 22934016 23753088 24321024 24632832 24845184 25239552 25732512 26210304 26685568 27361152 27711936 27795456 28151808 28394496 29446144 30021264 30191616 30497792 30578688 31269888 31670784 32428032 32843776 33126912 33675264 33773922 34310016 36481536 36949248 37267776 37859328 38598768 40028352 40771584 41567904 41693184 42227712 42591744 44169216 44900352 45031896 45746688 45868032 47506176 48642048 49265664 49690368 51465024 52420608 53371136 54722304 55423872 56303616 56788992 58892288 60042528 60383232 60995584 61157376 62539776 63341568 64856064 65687552 66253824 67350528 67547844 68620032 72963072 73898496 74535552 75718656 77197536 80056704 83135808 83386368 84455424 85183488 88338432 90063792 91493376 91736064 95012352 97284096 98531328 99380736 102930048 106742272 109444608 110847744 113577984 120085056 121991168 122314752 125079552 126683136 131375104 132507648 134701056 135095688 137240064 145926144 147796992 149071104 154395072 160113408 166271616 168910848 170366976 176676864 180127584 182986752 183472128 190024704 194568192 197062656 198761472 205860096 213484544 218889216 221695488 227155968 240170112 243982336 250159104 253366272 265015296 270191376 274480128 291852288 295593984 298142208 308790144 320226816 332543232 340733952 360255168 365973504 366944256 380049408 394125312 397522944 411720192 426969088 437778432 443390976 480340224 506732544 530030592 540382752 548960256 583704576 591187968 596284416 617580288 640453632 665086464 681467904 720510336 731947008 760098816 795045888 823440384 853938176 875556864 886781952 960680448 1080765504 1097920512 1182375936 1192568832 1235160576 1280907264 1330172928 1441020672 1520197632 1590091776 1646880768 1707876352 1751113728 1773563904 1921360896 2161531008 2195841024 2385137664 2470321152 2561814528 2660345856 2882041344 3293761536 3547127808 3842721792 4323062016 4770275328 4940642304 5123629056 5320691712 5764082688 6587523072 7685443584 8646124032 9881284608 10641383424 11528165376 15370887168 17292248064 19762569216 23056330752 34584496128 46112661504 69168992256 138337984512
• Sum of all divisors σ(n): 532853798400
• Sum of proper divisors (its aliquot sum) s(n): 394515813888
• 138337984512 is an abundant number, because the sum of its proper divisors (394515813888) is greater than itself. Its abundance is 256177829376

Bases of 138337984512

• Binary: 10000000110101100101100010000000000000₂
• Hexadecimal: 0x2035962000
• Base-36: 1RJUV400

Squares and roots of 138337984512

• 138337984512 squared (138337984512²) is 19137397958842351878144
• 138337984512 cubed (138337984512³) is 2647429062430313687568338783305728
• The square root of 138337984512 is 371938.1460834583
• The cube root of 138337984512 is 5171.8646182015

Scales and comparisons

• 138,337,984,512 seconds is equal to 4,398 years, 37 weeks, 3 days, 1 hour, 55 minutes, 12 seconds.
• To count from 1 to 138,337,984,512 would take you about eight thousand, seven hundred ninety-seven 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 138337984512 cubic inches would be around 431 feet tall.

Recreational maths with 138337984512

• 138337984512 backwards is 215489733831
• 138337984512 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138337984512's digits is 54
• More coming soon!