138384789816

Names of 138384789816

• Cardinal: 138384789816 can be written as One hundred thirty-eight billion, three hundred eighty-four million, seven hundred eighty-nine thousand, eight hundred sixteen.

Scientific notation

• Scientific notation: 1.38384789816 × 10¹¹

Factors of 138384789816

• Number of distinct prime factors ω(n): 8
• Total number of prime factors Ω(n): 11
• Sum of prime factors: 449

Divisors of 138384789816

• Number of divisors d(n): 768
• Complete list of divisors:
  1 2 3 4 6 7 8 12 13 14 21 23 24 26 28 29 39 41 42 46 49 52 56 58 69 78 82 84 87 91 92 98 104 116 123 138 147 156 161 164 168 174 182 184 196 203 232 246 273 276 287 294 299 312 322 328 331 348 364 377 392 406 483 492 533 546 552 574 588 598 609 637 644 662 667 696 728 754 812 861 897 943 966 984 993 1066 1092 1127 1131 1148 1176 1189 1196 1218 1274 1288 1324 1334 1421 1508 1599 1624 1722 1794 1886 1911 1932 1986 2001 2009 2093 2132 2184 2254 2262 2296 2317 2378 2392 2436 2548 2639 2648 2668 2829 2842 3016 3198 3381 3444 3567 3588 3731 3772 3822 3864 3972 4002 4018 4186 4263 4264 4303 4508 4524 4634 4669 4756 4872 5096 5278 5336 5658 5684 6027 6279 6396 6601 6762 6888 6951 7134 7176 7462 7544 7613 7644 7917 7944 8004 8036 8323 8372 8526 8606 8671 9016 9048 9268 9338 9512 9599 10556 11193 11316 11368 12054 12259 12558 12792 12909 13202 13524 13571 13902 14007 14268 14651 14924 15226 15288 15457 15834 16008 16072 16219 16646 16744 17052 17212 17342 18473 18536 18676 19198 19803 21112 22386 22632 22839 24108 24518 24969 25116 25818 26013 26117 26404 27048 27142 27347 27804 28014 28536 28797 29302 29848 30121 30452 30914 31668 32438 32683 33292 34104 34424 34684 36777 36946 37352 38396 39606 40713 43953 44772 45678 46207 46371 48216 48657 49036 49938 50232 51636 52026 52234 52808 53291 54284 54694 55419 55608 56028 57594 58261 58604 60242 60697 60904 61828 63336 64876 65366 66584 67193 69368 73554 73892 76792 78351 79212 81426 82041 85813 87906 89544 90363 91356 92414 92742 94997 97314 98049 98072 98969 99876 103272 104052 104468 106582 108199 108568 109388 110838 112056 115188 116522 117208 120484 121394 123656 124787 129752 130732 134386 138621 147108 147784 156702 158424 159873 162852 164082 171626 174783 175812 176423 180726 182091 182712 184828 185484 189994 191429 194628 196098 197938 199752 201579 208104 208936 210847 213164 216398 218776 220777 221676 230376 233044 240968 242788 249574 257439 261464 268772 277242 284991 294216 296907 312133 313404 319746 324597 325704 328164 343252 349566 351624 352846 355511 361452 364182 369656 370968 373037 374361 379988 382858 389256 392196 393559 395876 403158 421694 424879 426328 432796 441554 443352 466088 470351 485576 499148 514878 529269 537544 554484 569982 574287 593814 600691 624266 626808 632541 639492 649194 656328 662331 664979 686504 692783 699132 705692 711022 722904 728364 746074 748722 757393 759976 765716 784392 787118 791752 806316 843388 849758 865592 873509 883108 936399 940702 998296 1029756 1058538 1066533 1108968 1119111 1139964 1148574 1180677 1187628 1201382 1234961 1248532 1265082 1274637 1278984 1298388 1324662 1329958 1340003 1385566 1398264 1411053 1411384 1422044 1456728 1492148 1497444 1514786 1531432 1545439 1574236 1612632 1686776 1699516 1747018 1766216 1802073 1872798 1881404 1994937 2059512 2078349 2117076 2133066 2184931 2238222 2272179 2279928 2297148 2361354 2375256 2402764 2469922 2488577 2497064 2530164 2549274 2596776 2620527 2649324 2659916 2680006 2754913 2771132 2822106 2844088 2870101 2984296 2994888 3029572 3090878 3148472 3399032 3494036 3604146 3704883 3745596 3762808 3989874 4020009 4057729 4156698 4234152 4266132 4369862 4476444 4544358 4594296 4636317 4722708 4805528 4849481 4939844 4977154 5060328 5098548 5116267 5241054 5298648 5319832 5360012 5509826 5542264 5644212 5740202 6059144 6114563 6181756 6554793 6988072 7208292 7409766 7465731 7491192 7979748 8040018 8115458 8264739 8313396 8532264 8610303 8644727 8739724 8952888 9051857 9088716 9272634 9445416 9698962 9879688 9954308 10197096 10232534 10482108 10720024 10818073 11019652 11288424 11480404 12173187 12229126 12363512 13109586 14416584 14548443 14819532 14931462 15294517 15348801 15959496 16080036 16230916 16529478 16626792 17220606 17289454 17420039 17479448 18103714 18177432 18343689 18545268 19284391 19397924 19908616 20090707 20465068 20964216 21636146 22039304 22960808 24346374 24458252 25934181 26219172 27155571 28404103 29096886 29639064 29862924 30589034 30697602 32160072 32454219 32461832 33058956 34441212 34578908 34840078 35813869 36207428 36687378 37090536 38568782 38795848 40181414 40930136 43272292 45883551 48692748 48916504 51868362 52260117 52438344 54311142 56808206 57853173 58193772 59725848 60272121 61178068 61395204 63362999 64908438 66117912 68882424 69157816 69680156 71627738 72414856 73374756 77137564 80362828 85212309 86544584 91767102 97385496 103736724 104520234 107441607 108622284 113616412 115706346 116387544 117674141 120544242 122356136 122790408 126725998 129816876 139360312 140634949 143255476 146749512 154275128 160725656 170424618 183534204 190088997 198828721 207473448 209040468 214883214 217244568 227232824 231412692 235348282 241088484 250697083 253451996 259633752 281269898 286510952 340849236 353022423 367068408 380177994 397657442 418080936 421904847 429766428 443540993 462825384 470696564 482176968 501394166 506903992 562539796 596486163 681698472 706044846 752091249 760355988 795314884 823718987 843809694 859532856 887081986 941393128 1002788332 1125079592 1192972326 1330622979 1412089692 1504182498 1520711976 1590629768 1647437974 1687619388 1774163972 2005576664 2385944652 2471156961 2661245958 2824179384 3008364996 3294875948 3375238776 3548327944 4771889304 4942313922 5322491916 5766032909 6016729992 6589751896 9884627844 10644983832 11532065818 17298098727 19769255688 23064131636 34596197454 46128263272 69192394908 138384789816
• Sum of all divisors σ(n): 480699878400
• Sum of proper divisors (its aliquot sum) s(n): 342315088584
• 138384789816 is an abundant number, because the sum of its proper divisors (342315088584) is greater than itself. Its abundance is 203930298768

Bases of 138384789816

• Binary: 10000000111000011000000101000100111000₂
• Hexadecimal: 0x2038605138
• Base-36: 1RKMQB7C

Squares and roots of 138384789816

• 138384789816 squared (138384789816²) is 19150350052418497313856
• 138384789816 cubed (138384789816³) is 2650117166906758333248523144490496
• The square root of 138384789816 is 372001.0615791307
• The cube root of 138384789816 is 5172.4478357005

Scales and comparisons

• 138,384,789,816 seconds is equal to 4,400 years, 10 weeks, 5 days, 19 hours, 23 minutes, 36 seconds.
• To count from 1 to 138,384,789,816 would take you about eight thousand, eight hundred 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 138384789816 cubic inches would be around 431 feet tall.

Recreational maths with 138384789816

• 138384789816 backwards is 618987483831
• The number of decimal digits it has is: 12
• The sum of 138384789816's digits is 66
• More coming soon!