138419649984

Names of 138419649984

• Cardinal: 138419649984 can be written as One hundred thirty-eight billion, four hundred nineteen million, six hundred forty-nine thousand, nine hundred eighty-four.

Scientific notation

• Scientific notation: 1.38419649984 × 10¹¹

Factors of 138419649984

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 201

Divisors of 138419649984

• Number of divisors d(n): 1344
• Complete list of divisors:
  1 2 3 4 6 7 8 11 12 14 16 17 19 21 22 24 28 32 33 34 38 41 42 44 48 49 51 56 57 64 66 68 76 77 82 84 88 96 98 101 102 112 114 119 123 132 133 136 147 152 154 164 168 176 187 192 196 202 204 209 224 228 231 238 246 264 266 272 287 294 303 304 308 323 328 336 352 357 374 392 399 404 408 418 448 451 456 462 476 492 528 532 539 544 561 574 588 606 608 616 627 646 656 672 697 704 707 714 748 779 784 798 808 816 833 836 861 902 912 924 931 952 969 984 1056 1064 1078 1088 1111 1122 1148 1176 1212 1216 1232 1254 1292 1309 1312 1344 1353 1394 1414 1428 1463 1496 1558 1568 1596 1616 1617 1632 1666 1672 1717 1722 1804 1824 1848 1862 1904 1919 1938 1968 2009 2091 2112 2121 2128 2156 2222 2244 2261 2296 2337 2352 2424 2464 2499 2508 2584 2618 2624 2706 2788 2793 2828 2856 2926 2992 3116 3136 3157 3192 3232 3234 3264 3332 3333 3344 3434 3444 3553 3608 3648 3696 3724 3808 3838 3876 3927 3936 4018 4141 4182 4242 4256 4312 4389 4444 4488 4522 4592 4674 4704 4848 4879 4928 4949 4998 5016 5151 5168 5236 5412 5453 5576 5586 5656 5712 5757 5852 5984 6027 6232 6314 6384 6464 6468 6664 6666 6688 6783 6868 6888 7106 7216 7392 7448 7616 7667 7676 7752 7777 7854 7872 8036 8282 8364 8484 8512 8569 8624 8778 8888 8976 9044 9163 9184 9348 9408 9471 9696 9758 9898 9996 10032 10241 10302 10336 10472 10659 10824 10906 11152 11172 11312 11424 11514 11704 11968 12019 12054 12423 12464 12628 12768 12936 13243 13328 13332 13376 13433 13566 13736 13776 14212 14432 14637 14784 14847 14896 15334 15352 15504 15554 15708 15827 16072 16359 16564 16728 16968 17138 17248 17556 17776 17952 18088 18326 18368 18696 18887 18942 19392 19516 19796 19992 20064 20482 20604 20672 20944 21109 21318 21648 21812 22099 22304 22344 22624 22848 23001 23028 23331 23408 24038 24108 24846 24871 24928 25256 25536 25707 25872 26486 26656 26664 26866 27132 27472 27489 27552 28424 28864 28987 29274 29694 29792 30668 30704 30723 31008 31108 31416 31654 32144 32623 32718 33128 33456 33936 34153 34276 34496 35112 35552 35904 36057 36176 36652 37392 37774 37884 38171 39032 39592 39729 39984 40128 40299 40964 41208 41888 42218 42636 43296 43624 44198 44608 44688 45248 45551 46002 46056 46662 46816 47481 48076 48216 49692 49742 49856 50512 51414 51744 52972 53312 53328 53669 53732 54264 54439 54944 54978 55104 56661 56848 57974 58548 59388 59584 59983 61336 61408 61446 62016 62216 62832 63308 63327 64288 65246 65436 66256 66297 66912 67872 68306 68552 70224 70397 71104 72114 72352 73304 74613 74784 75548 75768 76342 78064 78679 79184 79458 79968 80598 81928 82416 83776 84133 84436 85272 86592 86961 87248 88396 89376 91102 92004 92112 92701 93324 93632 94031 94962 96152 96432 97869 99384 99484 101024 102459 102828 103488 105944 106656 107338 107464 108528 108878 109888 109956 113322 113696 114513 115948 117096 118776 119966 122672 122816 122892 124432 125664 126616 126654 128576 130492 130872 132209 132512 132594 133824 135744 136612 136653 137104 140448 140794 144228 144704 145673 146608 147763 149226 149568 151096 151536 152684 156128 157358 158368 158916 159936 161007 161196 163317 163856 164832 168266 168872 170544 173922 174097 174496 176792 178752 179949 182204 184008 184224 185402 186648 188062 189924 192304 192864 195738 198768 198968 202048 202909 204918 205656 211191 211888 213312 214676 214928 217056 217756 219912 226644 227392 228361 229026 231896 234192 236037 237552 239932 245344 245784 248864 251328 252399 253232 253308 260984 261744 264418 265024 265188 273224 273306 274208 278103 280896 281588 282093 288456 291346 293216 295526 298452 302192 303072 305368 312256 314716 316736 317832 318857 322014 322392 326634 327712 329664 336532 337744 341088 347844 348194 348992 353584 358853 359898 364408 368016 368448 370804 373296 375683 376124 379848 384608 385728 391476 396627 397536 397936 405818 409836 411312 419881 422382 423776 429352 429856 434112 435512 437019 439824 443289 453288 456722 458052 463792 468384 472074 475104 479864 490688 491568 492779 497728 504798 506464 506616 521968 522291 523488 528836 530376 546448 546612 548416 550753 556206 563176 564186 576912 582692 586432 591052 596904 604384 606144 608727 610736 629432 635664 637714 644028 644784 648907 653268 655424 673064 675488 682176 685083 695688 696388 707168 717706 719796 728816 736032 741608 746592 751366 752248 759696 769216 774367 782952 793254 795072 795872 811636 819672 822624 839762 844764 847552 858704 859712 865469 871024 874038 879648 886578 906576 913444 916104 925463 927584 936768 944148 950208 956571 959728 983136 985558 1009596 1012928 1013232 1019711 1034341 1043936 1044582 1046976 1057672 1060752 1076559 1092896 1093224 1101506 1112412 1126352 1127049 1128372 1153824 1165384 1182104 1193808 1208768 1217454 1221472 1258864 1259643 1271328 1275428 1288056 1289568 1297814 1306536 1337543 1346128 1350976 1370166 1391376 1392776 1414336 1435412 1439592 1457632 1472064 1478337 1483216 1493184 1502732 1504496 1519392 1548734 1565904 1586508 1591744 1598527 1623272 1639344 1645248 1652259 1679524 1689528 1717408 1730938 1742048 1748076 1759296 1773156 1813152 1826888 1832208 1850926 1855168 1888296 1913142 1919456 1946721 1966272 1971116 2019192 2026464 2039422 2068682 2087872 2089164 2115344 2121504 2153118 2185792 2186448 2203012 2224824 2231999 2252704 2254098 2256744 2307648 2323101 2330768 2364208 2387616 2434908 2442944 2511971 2517728 2519286 2542656 2550856 2576112 2579136 2595628 2596407 2613072 2675086 2692256 2740332 2776389 2782752 2785552 2870824 2879184 2915264 2956674 2966432 3005464 3008992 3038784 3059133 3097468 3103023 3131808 3173016 3197054 3246544 3278688 3304518 3359048 3379056 3434816 3449453 3461876 3484096 3496152 3546312 3626304 3653776 3664416 3701852 3776592 3826284 3838912 3855271 3893442 3942232 4012629 4038384 4052928 4078844 4137364 4178328 4230688 4243008 4306236 4372896 4406024 4449648 4463998 4505408 4508196 4513488 4646202 4661536 4728416 4775232 4795581 4869816 5023942 5035456 5038572 5101712 5152224 5191256 5192814 5226144 5350172 5384512 5420569 5480664 5552778 5565504 5571104 5741648 5758368 5913348 5932864 6010928 6017984 6058283 6118266 6194936 6206046 6263616 6346032 6394108 6493088 6557376 6609036 6695997 6718096 6758112 6898906 6923752 6992304 7092624 7137977 7307552 7328832 7403704 7535913 7553184 7652568 7710542 7786884 7884464 8025258 8076768 8157688 8274728 8356656 8461376 8612472 8745792 8812048 8899296 8927996 9016392 9026976 9292404 9323072 9362801 9456832 9591162 9739632 10047884 10077144 10203424 10304448 10348359 10382512 10385628 10452288 10700344 10841138 10961328 11105556 11142208 11483296 11516736 11565813 11826696 12021856 12116566 12236532 12389872 12412092 12692064 12788216 12986176 13218072 13391994 13436192 13516224 13797812 13847504 13984608 14185248 14275954 14615104 14712973 14807408 15071826 15106368 15305136 15421084 15573768 15768928 16050516 16153536 16261707 16315376 16549456 16713312 17224944 17583797 17624096 17798592 17855992 18032784 18053952 18174849 18584808 18725602 19182324 19479264 20095768 20154288 20406848 20696718 20765024 20771256 21400688 21413931 21682276 21922656 22211112 22966592 23131626 23653392 24043712 24233132 24473064 24779744 24824184 25384128 25576432 26436144 26783988 26872384 27595624 27695008 27969216 28088403 28370496 28551908 29425946 29614816 30143652 30610272 30842168 31147536 31537856 32101032 32523414 32630752 33098912 33426624 34449888 35167594 35248192 35711984 36065568 36349698 37169616 37451204 37943983 38364648 38958528 40191536 40308576 41393436 41530048 41542512 42407981 42801376 42827862 43364552 43845312 44138919 44422224 46263252 47306784 48466264 48946128 49559488 49648368 51152864 52751391 52872288 53567976 55191248 55390016 56176806 57103816 58851892 59229632 60287304 61220544 61684336 62295072 64202064 65046828 65261504 65539607 66197824 68899776 70335188 71423968 72131136 72699396 74339232 74902408 75887966 76729296 80383072 80617152 82786872 83085024 84815962 85602752 85655724 86729104 88277838 88844448 92526504 94613568 96932528 97892256 99296736 102305728 102990811 105502782 105744576 107135952 110382496 112353612 113831949 114207632 117703784 120574608 123368672 124590144 127223943 128404128 130093656 131079214 140670376 142847936 145398792 148678464 149804816 151775932 153458592 160766144 165573744 166170048 169631924 171311448 173458208 176555676 177688896 185053008 193865056 195784512 196618821 198593472 205981622 211005564 214271904 220764992 224707224 227663898 228415264 235407568 241149216 246737344 254447886 256808256 260187312 262158428 281340752 290797584 299609632 303551864 306917184 308972433 331147488 339263848 342622896 346916416 353111352 370106016 387730112 393237642 411963244 422011128 428543808 449414448 455327796 456830528 470815136 482298432 508895772 520374624 524316856 562681504 581595168 599219264 607103728 617944866 662294976 678527696 685245792 706222704 720935677 740212032 786475284 823926488 844022256 898828896 910655592 941630272 1017791544 1040749248 1048633712 1125363008 1163190336 1214207456 1235889732 1357055392 1370491584 1412445408 1441871354 1572950568 1647852976 1688044512 1797657792 1821311184 2035583088 2097267424 2162807031 2428414912 2471779464 2714110784 2824890816 2883742708 3145901136 3295705952 3376089024 3642622368 4071166176 4194534848 4325614062 4943558928 5767485416 6291802272 6591411904 7285244736 8142332352 8651228124 9887117856 11534970832 12583604544 17302456248 19774235712 23069941664 34604912496 46139883328 69209824992 138419649984
• Sum of all divisors σ(n): 535885217280
• Sum of proper divisors (its aliquot sum) s(n): 397465567296
• 138419649984 is an abundant number, because the sum of its proper divisors (397465567296) is greater than itself. Its abundance is 259045917312

Bases of 138419649984

• Binary: 10000000111010011101000011110111000000₂
• Hexadecimal: 0x203A743DC0
• Base-36: 1RL7HHHC

Squares and roots of 138419649984

• 138419649984 squared (138419649984²) is 19159999501693071200256
• 138419649984 cubed (138419649984³) is 2652120424717969330937426291195904
• The square root of 138419649984 is 372047.9135595307
• The cube root of 138419649984 is 5172.8821253895

Scales and comparisons

• 138,419,649,984 seconds is equal to 4,401 years, 16 weeks, 3 days, 6 hours, 46 minutes, 24 seconds.
• To count from 1 to 138,419,649,984 would take you about eight thousand, eight hundred two 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 138419649984 cubic inches would be around 431.1 feet tall.

Recreational maths with 138419649984

• 138419649984 backwards is 489946914831
• 138419649984 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138419649984's digits is 66
• More coming soon!