138046379328

Names of 138046379328

• Cardinal: 138046379328 can be written as One hundred thirty-eight billion, forty-six million, three hundred seventy-nine thousand, three hundred twenty-eight.

Scientific notation

• Scientific notation: 1.38046379328 × 10¹¹

Factors of 138046379328

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 19
• Sum of prime factors: 48

Divisors of 138046379328

• Number of divisors d(n): 1008
• Complete list of divisors:
  1 2 3 4 6 8 9 11 12 13 16 18 19 22 24 26 27 32 33 36 38 39 44 48 52 54 57 64 66 72 76 78 81 88 96 99 104 108 114 117 121 132 143 144 152 156 162 171 176 192 198 208 209 216 228 234 242 243 247 264 286 288 297 304 312 324 342 351 352 363 396 416 418 429 432 456 468 484 486 494 513 528 572 576 594 608 624 627 648 684 702 704 726 729 741 792 832 836 858 864 891 912 936 968 972 988 1026 1053 1056 1089 1144 1188 1216 1248 1254 1287 1296 1331 1368 1404 1452 1458 1482 1539 1573 1584 1672 1716 1728 1782 1824 1872 1881 1936 1944 1976 2052 2106 2112 2178 2187 2223 2288 2299 2376 2496 2508 2574 2592 2662 2673 2717 2736 2808 2904 2916 2964 3078 3146 3159 3168 3267 3344 3432 3564 3648 3744 3762 3861 3872 3888 3952 3993 4104 4212 4356 4374 4446 4576 4598 4617 4719 4752 5016 5148 5184 5324 5346 5434 5472 5616 5643 5808 5832 5928 6156 6292 6318 6336 6534 6561 6669 6688 6864 6897 7128 7488 7524 7722 7744 7776 7904 7986 8019 8151 8208 8424 8712 8748 8892 9152 9196 9234 9438 9477 9504 9801 10032 10296 10648 10692 10868 10944 11232 11286 11583 11616 11664 11856 11979 12312 12584 12636 13068 13122 13338 13376 13728 13794 13851 14157 14256 15048 15444 15552 15808 15972 16038 16302 16416 16848 16929 17303 17424 17496 17784 18392 18468 18876 18954 19008 19602 20007 20064 20592 20691 21296 21384 21736 22464 22572 23166 23232 23328 23712 23958 24057 24453 24624 25168 25272 25289 26136 26244 26676 27456 27588 27702 28314 28431 28512 29403 29887 30096 30888 31944 32076 32604 32832 33696 33858 34606 34749 34848 34992 35568 35937 36784 36936 37752 37908 39204 40014 40128 41184 41382 41553 42471 42592 42768 43472 45144 46332 46656 47424 47916 48114 48906 49248 50336 50544 50578 50787 51909 52272 52488 53352 55176 55404 56628 56862 57024 58806 59774 60021 60192 61776 62073 63888 64152 65208 67392 67716 69212 69498 69696 69984 71136 71874 72171 73359 73568 73872 75504 75816 75867 78408 80028 82368 82764 83106 84942 85184 85293 85536 86944 88209 89661 90288 92664 95832 96228 97812 98496 100672 101088 101156 101574 103818 104247 104544 104976 106704 107811 110352 110808 113256 113724 117612 119548 120042 120384 123552 124146 124659 127413 127776 128304 130416 135432 138424 138996 139968 142272 143748 144342 146718 147136 147744 151008 151632 151734 152361 155727 156816 160056 165528 166212 169884 170586 171072 173888 176418 179322 180063 180576 185328 186219 191664 192456 195624 202176 202312 203148 207636 208494 209088 209952 213408 215622 220077 220704 221616 226512 227448 227601 235224 239096 240084 247104 248292 249318 254826 255552 256608 260832 264627 268983 270864 276848 277992 287496 288684 293436 295488 302016 303264 303468 304722 311454 312741 313632 320112 323433 328757 331056 332424 339768 341172 352836 358644 360126 361152 370656 372438 382239 383328 384912 391248 404624 406296 415272 416988 419904 426816 431244 440154 441408 443232 453024 454896 455202 457083 467181 470448 478192 480168 496584 498636 509652 513216 521664 529254 537966 540189 541728 553696 555984 558657 574992 577368 586872 606528 606936 609444 622908 625482 627264 640224 646866 657514 660231 662112 664848 679536 682344 682803 705672 717288 720252 741312 744876 764478 766656 769824 782496 793881 806949 809248 812592 830544 833976 862488 880308 886464 906048 909792 910404 914166 934362 938223 940896 956384 960336 970299 986271 993168 997272 1019304 1058508 1075932 1080378 1083456 1107392 1111968 1117314 1146717 1149984 1154736 1173744 1213872 1218888 1245816 1250964 1280448 1293732 1315028 1320462 1324224 1329696 1359072 1364688 1365606 1371249 1401543 1411344 1434576 1440504 1489752 1528956 1539648 1564992 1587762 1613898 1618496 1620567 1625184 1661088 1667952 1675971 1724976 1760616 1819584 1820808 1828332 1868724 1876446 1881792 1912768 1920672 1940598 1972542 1980693 1986336 1994544 2038608 2048409 2117016 2151864 2160756 2223936 2234628 2293434 2299968 2309472 2347488 2420847 2427744 2437776 2491632 2501928 2587464 2630056 2640924 2659392 2718144 2729376 2731212 2742498 2803086 2822688 2869152 2881008 2910897 2958813 2979504 3057912 3175524 3227796 3241134 3250368 3322176 3335904 3351942 3440151 3449952 3521232 3641616 3656664 3737448 3752892 3841344 3881196 3945084 3961386 3972672 3989088 4077216 4096818 4204629 4234032 4303728 4321512 4469256 4586868 4618944 4694976 4841694 4855488 4875552 4983264 5003856 5027913 5174928 5260112 5281848 5458752 5462424 5484996 5606172 5645376 5738304 5762016 5821794 5917626 5942079 5959008 6115824 6145227 6351048 6455592 6482268 6671808 6703884 6880302 6899904 7042464 7262541 7283232 7313328 7474896 7505784 7762392 7890168 7922772 7978176 8154432 8193636 8409258 8468064 8607456 8643024 8732691 8876439 8938512 9173736 9683388 9751104 9966528 10007712 10055826 10320453 10349856 10520224 10563696 10924848 10969992 11212344 11524032 11643588 11835252 11884158 11918016 12231648 12290454 12613887 12702096 12911184 12964536 13407768 13760604 14084928 14525082 14566464 14626656 14949792 15011568 15083739 15524784 15780336 15845544 16387272 16818516 16936128 17214912 17286048 17465382 17752878 17826237 17877024 18347472 18435681 19366776 20015424 20111652 20640906 20699712 21040448 21127392 21787623 21849696 21939984 22424688 23287176 23670504 23768316 24463296 24580908 25227774 25404192 25822368 25929072 26629317 26815536 27521208 29050164 29253312 29899584 30023136 30167478 31049568 31560672 31691088 32774544 33637032 34572096 34930764 35505756 35652474 35754048 36694944 36871362 37841661 38733552 40223304 41281812 42254784 43575246 43699392 43879968 44849376 46574352 47341008 47536632 49161816 50455548 50808384 51644736 51858144 53258634 53631072 55042416 55307043 58100328 60046272 60334956 62099136 63121344 63382176 65362869 65549088 67274064 69861528 71011512 71304948 73389888 73742724 75683322 77467104 79887951 80446608 82563624 87150492 87759936 89698752 93148704 94682016 95073264 98323632 100911096 103716288 106517268 107262144 110084832 110614086 113524983 116200656 120669912 126764352 130725738 131098176 134548128 139723056 142023024 142609896 147485448 151366644 154934208 159775902 160893216 165127248 165921129 174300984 186297408 189364032 190146528 196088607 196647264 201822192 213034536 220169664 221228172 227049966 232401312 239663853 241339824 261451476 269096256 279446112 284046048 285219792 294970896 302733288 319551804 321786432 330254496 331842258 348601968 380293056 392177214 393294528 403644384 426069072 442456344 454099932 464802624 479327706 482679648 522902952 558892224 568092096 570439584 589941792 605466576 639103608 660508992 663684516 697203936 718991559 784354428 807288768 852138144 884912688 908199864 958655412 965359296 1045805904 1140879168 1179883584 1210933152 1278207216 1327369032 1394407872 1437983118 1568708856 1704276288 1769825376 1816399728 1917310824 2091611808 2156974677 2421866304 2556414432 2654738064 2875966236 3137417712 3539650752 3632799456 3834621648 4183223616 4313949354 5112828864 5309476128 5751932472 6274835424 7265598912 7669243296 8627898708 10618952256 11503864944 12549670848 15338486592 17255797416 23007729888 34511594832 46015459776 69023189664 138046379328
• Sum of all divisors σ(n): 512320885440
• Sum of proper divisors (its aliquot sum) s(n): 374274506112
• 138046379328 is an abundant number, because the sum of its proper divisors (374274506112) is greater than itself. Its abundance is 236228126784

Bases of 138046379328

• Binary: 10000000100100001101001001010101000000₂
• Hexadecimal: 0x2024349540
• Base-36: 1RF19000

Squares and roots of 138046379328

• 138046379328 squared (138046379328²) is 19056802845570065731584
• 138046379328 cubed (138046379328³) is 2630722634398475098384138694295552
• The square root of 138046379328 is 371545.9316531401
• The cube root of 138046379328 is 5168.2281056361

Scales and comparisons

• 138,046,379,328 seconds is equal to 4,389 years, 23 weeks, 2 days, 28 minutes, 48 seconds.
• To count from 1 to 138,046,379,328 would take you about eight thousand, seven hundred seventy-eight 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 138046379328 cubic inches would be around 430.7 feet tall.

Recreational maths with 138046379328

• 138046379328 backwards is 823973640831
• 138046379328 is a Harshad number.
• The number of decimal digits it has is: 12
• The sum of 138046379328's digits is 54
• More coming soon!