148513768982208

Names of 148513768982208

• Cardinal: 148513768982208 can be written as One hundred forty-eight trillion, five hundred thirteen billion, seven hundred sixty-eight million, nine hundred eighty-two thousand, two hundred eight.

Scientific notation

• Scientific notation: 1.48513768982208 × 10¹⁴

Factors of 148513768982208

• Number of distinct prime factors ω(n): 5
• Total number of prime factors Ω(n): 14
• Sum of prime factors: 8264

Divisors of 148513768982208

• Number of divisors d(n): 420
• Complete list of divisors:
  1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 61 63 64 72 81 84 96 108 112 122 126 144 162 168 183 189 192 216 224 244 252 288 324 336 366 378 427 432 448 488 504 549 567 576 648 672 732 756 854 864 976 1008 1098 1134 1281 1296 1344 1464 1512 1647 1708 1728 1952 2016 2196 2268 2562 2592 2928 3024 3294 3416 3843 3904 4032 4392 4536 4941 5124 5184 5856 6048 6588 6832 7686 8191 8784 9072 9882 10248 11529 11712 12096 13176 13664 15372 16382 17568 18144 19764 20496 23058 24573 26352 27328 30744 32764 34587 35136 36288 39528 40992 46116 49146 52704 57337 61488 65528 69174 73719 79056 81984 92232 98292 105408 114674 122976 131056 138348 147438 158112 172011 184464 196584 221157 229348 245952 262112 276696 294876 316224 344022 368928 393168 442314 458696 499651 516033 524224 553392 589752 663471 688044 737856 786336 884628 917392 999302 1032066 1106784 1179504 1326942 1376088 1498953 1548099 1572672 1769256 1834784 1998604 2064132 2213568 2359008 2653884 2752176 2997906 3096198 3497557 3538512 3669568 3997208 4128264 4496859 4644297 4718016 5307768 5504352 5995812 6192396 6995114 7077024 7994416 8256528 8993718 9288594 10492671 10615536 11008704 11991624 12384792 13490577 13990228 14154048 15988832 16513056 17987436 18577188 20985342 21231072 23983248 24769584 26981154 27980456 31478013 31977664 33026112 35974872 37154376 40471731 41970684 42462144 47966496 49539168 53962308 55960912 62956026 67092481 71949744 74308752 80943462 83941368 94434039 95932992 99078336 107924616 111921824 125912052 134184962 143899488 148617504 161886924 167882736 188868078 201277443 215849232 223843648 251824104 268369924 283302117 287798976 297235008 323773848 335765472 377736156 402554886 431698464 469647367 503648208 536739848 566604234 603832329 647547696 671530944 755472312 805109772 863396928 939294734 1007296416 1073479696 1133208468 1207664658 1295095392 1408942101 1510944624 1610219544 1811496987 1878589468 2014592832 2146959392 2266416936 2415329316 2590190784 2817884202 3021889248 3220439088 3622993974 3757178936 4092641341 4226826303 4293918784 4532833872 4830658632 5434490961 5635768404 6043778496 6440878176 7245987948 7514357872 8185282682 8453652606 9065667744 9661317264 10868981922 11271536808 12277924023 12680478909 12881756352 14491975896 15028715744 16370565364 16907305212 18131335488 19322634528 21737963844 22543073616 24555848046 25360957818 28648489387 28983951792 30057431488 32741130728 33814610424 36833772069 38041436727 38645269056 43475927688 45086147232 49111696092 50721915636 57296978774 57967903584 65482261456 67629220848 73667544138 76082873454 85945468161 86951855376 90172294464 98223392184 101443831272 110501316207 114593957548 115935807168 130964522912 135258441696 147335088276 152165746908 171890936322 173903710752 196446784368 202887662544 221002632414 229187915096 257836404483 261929045824 270516883392 294670176552 304331493816 331503948621 343781872644 347807421504 392893568736 405775325088 442005264828 458375830192 515672808966 589340353104 608662987632 663007897242 687563745288 773509213449 785787137472 811550650176 884010529656 916751660384 1031345617932 1178680706208 1217325975264 1326015794484 1375127490576 1547018426898 1768021059312 1833503320768 2062691235864 2320527640347 2357361412416 2434651950528 2652031588968 2750254981152 3094036853796 3536042118624 4125382471728 4641055280694 5304063177936 5500509962304 6188073707592 7072084237248 8250764943456 9282110561388 10608126355872 12376147415184 16501529886912 18564221122776 21216252711744 24752294830368 37128442245552 49504589660736 74256884491104 148513768982208
• Sum of all divisors σ(n): 511443476827536
• Sum of proper divisors (its aliquot sum) s(n): 362929707845328
• 148513768982208 is an abundant number, because the sum of its proper divisors (362929707845328) is greater than itself. Its abundance is 214415938863120

Bases of 148513768982208

• Binary: 100001110001001010001110011100011100011011000000₂
• Hexadecimal: 0x87128E71C6C0
• Base-36: 1GN6A7JG00

Squares and roots of 148513768982208

• 148513768982208 squared (148513768982208²) is 22056339577300647044220555264
• 148513768982208 cubed (148513768982208³) is 3275670120576359544916571217318657896742912
• The square root of 148513768982208 is 12186622.5420420731
• The cube root of 148513768982208 is 52956.8616561919

Scales and comparisons

• 148,513,768,982,208 seconds is equal to 4,722,278 years, 24 weeks, 3 days, 5 hours, 16 minutes, 48 seconds.
• To count from 1 to 148,513,768,982,208 would take you about eleven million, eight hundred five thousand, six hundred ninety-six 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 148513768982208 cubic inches would be around 4413.1 feet tall.

Recreational maths with 148513768982208

• 148513768982208 backwards is 802289867315841
• 148513768982208 is a Harshad number.
• The number of decimal digits it has is: 15
• The sum of 148513768982208's digits is 72
• More coming soon!