138315084768

Names of 138315084768

• Cardinal: 138315084768 can be written as One hundred thirty-eight billion, three hundred fifteen million, eighty-four thousand, seven hundred sixty-eight.

Scientific notation

• Scientific notation: 1.38315084768 × 10¹¹

Factors of 138315084768

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 90

Divisors of 138315084768

• Number of divisors d(n): 576
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 47 48 49 56 62 63 72 84 93 94 96 98 112 124 126 141 144 147 168 186 188 196 217 224 248 252 279 282 288 294 329 336 343 372 376 392 423 434 441 496 504 558 564 588 651 658 672 686 744 752 784 846 868 882 961 987 992 1008 1029 1116 1128 1176 1302 1316 1372 1457 1488 1504 1519 1568 1692 1736 1764 1922 1953 1974 2016 2058 2232 2256 2303 2352 2604 2632 2744 2883 2914 2961 2976 3038 3087 3384 3472 3528 3844 3906 3948 4116 4371 4464 4512 4557 4606 4704 5208 5264 5488 5766 5828 5922 6076 6174 6727 6768 6909 6944 7056 7688 7812 7896 8232 8649 8742 8928 9114 9212 10199 10416 10528 10633 10976 11532 11656 11844 12152 12348 13113 13454 13536 13671 13818 14112 15376 15624 15792 16121 16464 17298 17484 18228 18424 20181 20398 20727 20832 21266 23064 23312 23688 24304 24696 26226 26908 27342 27636 29791 30597 30752 31248 31584 31899 32242 32928 34596 34968 36456 36848 40362 40796 41454 42532 45167 46128 46624 47089 47376 48363 48608 49392 52452 53816 54684 55272 59582 60543 61194 62496 63798 64484 69192 69936 71393 72912 73696 80724 81592 82908 85064 89373 90334 91791 92256 94178 94752 95697 96726 98784 104904 107632 109368 110544 119164 121086 122388 127596 128968 135501 138384 139872 141267 142786 145089 145824 161448 163184 165816 170128 178746 180668 183582 188356 191394 193452 208537 209808 214179 215264 218736 221088 238328 242172 244776 255192 257936 268119 271002 276768 282534 285572 290178 316169 322896 326368 329623 331632 340256 357492 361336 367164 376712 382788 386904 406503 417074 419616 423801 428358 437472 476656 484344 489552 499751 510384 515872 536238 542004 565068 571144 580356 625611 632338 642537 645792 659246 663264 714984 722672 734328 753424 765576 773808 813006 834148 847602 856716 948507 953312 968688 979104 988869 999502 1020768 1072476 1084008 1130136 1142288 1160712 1251222 1264676 1285074 1318492 1400177 1429968 1445344 1459759 1468656 1499253 1506848 1531152 1547616 1626012 1668296 1695204 1713432 1876833 1897014 1937376 1977738 1999004 2144952 2168016 2213183 2260272 2284576 2321424 2502444 2529352 2570148 2636984 2800354 2845521 2859936 2919518 2937312 2966607 2998506 3062304 3252024 3336592 3390408 3426864 3753666 3794028 3955476 3998008 4200531 4289904 4336032 4379277 4426366 4497759 4520544 4642848 5004888 5058704 5140296 5273968 5600708 5691042 5839036 5933214 5997012 6504048 6639549 6673184 6780816 6853728 7507332 7588056 7910952 7996016 8401062 8579808 8758554 8852732 8995518 9801239 10009776 10117408 10218313 10280592 10547936 11201416 11382084 11678072 11866428 11994024 12601593 13008096 13137831 13279098 13561632 15014664 15176112 15492281 15821904 15992032 16802124 17517108 17705464 17991036 19602478 19918647 20019552 20436626 20561184 22402832 22764168 23356144 23732856 23988048 25203186 26275662 26558196 29403717 30029328 30352224 30654939 30984562 31643808 33604248 35034216 35410928 35982072 39204956 39837294 40873252 44805664 45528336 46476843 46712288 47465712 47976096 50406372 52551324 53116392 58807434 60058656 61309878 61969124 67208496 68608673 70068432 70821856 71964144 78409912 79674588 81746504 88211151 91056672 91964817 92953686 94931424 100812744 105102648 106232784 117614868 122619756 123938248 134416992 137217346 139430529 140136864 143928288 156819824 159349176 163493008 176422302 183929634 185907372 201625488 205826019 210205296 212465568 235229736 245239512 247876496 274434692 278861058 313639648 318698352 326986016 352844604 367859268 371814744 403250976 411652038 420410592 470459472 480260711 490479024 495752992 548869384 557722116 617478057 637396704 705689208 735718536 743629488 823304076 940918944 960521422 980958048 1097738768 1115444232 1234956114 1411378416 1440782133 1471437072 1487258976 1646608152 1921042844 2195477536 2230888464 2469912228 2822756832 2881564266 2942874144 3293216304 3842085688 4322346399 4461776928 4939824456 5763128532 6586432608 7684171376 8644692798 9879648912 11526257064 15368342752 17289385596 19759297824 23052514128 34578771192 46105028256 69157542384 138315084768
• Sum of all divisors σ(n): 484072243200
• Sum of proper divisors (its aliquot sum) s(n): 345757158432
• 138315084768 is an abundant number, because the sum of its proper divisors (345757158432) is greater than itself. Its abundance is 207442073664

Bases of 138315084768

• Binary: 10000000110100001110001011001111100000₂
• Hexadecimal: 0x203438B3E0
• Base-36: 1RJH8AG0

Squares and roots of 138315084768

• 138315084768 squared (138315084768²) is 19131062674379025613824
• 138315084768 cubed (138315084768³) is 2646114555508655709537309792632832
• The square root of 138315084768 is 371907.3604649417
• The cube root of 138315084768 is 5171.5792280107

Scales and comparisons

• 138,315,084,768 seconds is equal to 4,397 years, 51 weeks, 4 days, 52 minutes, 48 seconds.
• To count from 1 to 138,315,084,768 would take you about eight thousand, seven hundred ninety-five 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 138315084768 cubic inches would be around 431 feet tall.

Recreational maths with 138315084768

• 138315084768 backwards is 867480513831
• The number of decimal digits it has is: 12
• The sum of 138315084768's digits is 54
• More coming soon!