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14055265320048 = 2433172383210579
BaseRepresentation
bin1100110010000111111100…
…0110001011110001110000
31211202200002121101002122000
43030201333012023301300
53320240140410220143
645520522202414000
72650313402000451
oct314417706136160
954680077332560
1014055265320048
114529893942607
1216b0007b01300
137ac5377ca164
143683c81a7128
15195922b57bd3
hexcc87f18bc70

14055265320048 has 160 divisors (see below), whose sum is σ = 44574243494400. Its totient is φ = 4217777777664.

The previous prime is 14055265320037. The next prime is 14055265320079. The reversal of 14055265320048 is 84002356255041.

14055265320048 is a `hidden beast` number, since 1 + 4 + 0 + 55 + 26 + 532 + 0 + 0 + 48 = 666.

14055265320048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 14055265319985 and 14055265320012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41436378 + ... + 41774201.

It is an arithmetic number, because the mean of its divisors is an integer number (278589021840).

Almost surely, 214055265320048 is an apocalyptic number.

14055265320048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14055265320048 is an abundant number, since it is smaller than the sum of its proper divisors (30518978174352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14055265320048 is a wasteful number, since it uses less digits than its factorization.

14055265320048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83210636 (or 83210624 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 14055265320048 in words is "fourteen trillion, fifty-five billion, two hundred sixty-five million, three hundred twenty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 23 24 27 34 36 46 48 51 54 68 69 72 92 102 108 136 138 144 153 184 204 207 216 272 276 306 368 391 408 414 432 459 552 612 621 782 816 828 918 1104 1173 1224 1242 1564 1656 1836 2346 2448 2484 3128 3312 3519 3672 4692 4968 6256 7038 7344 9384 9936 10557 14076 18768 21114 28152 42228 56304 84456 168912 83210579 166421158 249631737 332842316 499263474 665684632 748895211 998526948 1331369264 1414579843 1497790422 1913843317 1997053896 2246685633 2829159686 2995580844 3827686634 3994107792 4243739529 4493371266 5658319372 5741529951 5991161688 7655373268 8487479058 8986742532 11316638744 11483059902 11982323376 12731218587 15310746536 16974958116 17224589853 17973485064 22633277488 22966119804 25462437174 30621493072 32535336389 33949916232 34449179706 35946970128 38193655761 45932239608 50924874348 51673769559 65070672778 67899832464 68898359412 76387311522 91864479216 97606009167 101849748696 103347539118 130141345556 137796718824 152774623044 195212018334 203699497392 206695078236 260282691112 275593437648 292818027501 305549246088 390424036668 413390156472 520565382224 585636055002 611098492176 780848073336 826780312944 878454082503 1171272110004 1561696146672 1756908165006 2342544220008 3513816330012 4685088440016 7027632660024 14055265320048