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14082483505032 = 23325334961105557
BaseRepresentation
bin1100110011101101010101…
…1011010100011110001000
31211212021100111012011012100
43030323111123110132020
53321211411234130112
645541223102513400
72652266032520445
oct314732533243610
954767314164170
1014082483505032
11453a390899868
1216b5343295860
137b1c84761267
1436984ada29cc
151964b743a2dc
hexcced56d4788

14082483505032 has 96 divisors (see below), whose sum is σ = 38861162921880. Its totient is φ = 4605416724480.

The previous prime is 14082483505019. The next prime is 14082483505037. The reversal of 14082483505032 is 23050538428041.

14082483505032 is a `hidden beast` number, since 1 + 4 + 0 + 8 + 248 + 350 + 50 + 3 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13359653667396 + 722829837636 = 3655086^2 + 850194^2 .

It is not an unprimeable number, because it can be changed into a prime (14082483505037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133358398 + ... + 133463954.

Almost surely, 214082483505032 is an apocalyptic number.

14082483505032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

14082483505032 is an abundant number, since it is smaller than the sum of its proper divisors (24778679416848).

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

14082483505032 is a wasteful number, since it uses less digits than its factorization.

14082483505032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140583 (or 140576 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 14082483505032 in words is "fourteen trillion, eighty-two billion, four hundred eighty-three million, five hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 34961 69922 104883 105557 139844 209766 211114 279688 314649 316671 419532 422228 629298 633342 839064 844456 950013 1258596 1266684 1852933 1900026 2517192 2533368 3705866 3800052 5558799 5594521 7411732 7600104 11117598 11189042 14823464 16676397 16783563 22235196 22378084 33352794 33567126 44470392 44756168 50350689 66705588 67134252 100701378 133411176 134268504 201402756 402805512 3690378277 7380756554 11071134831 14761513108 22142269662 29523026216 33213404493 44284539324 66426808986 88569078648 132853617972 195590048681 265707235944 391180097362 586770146043 782360194724 1173540292086 1564720389448 1760310438129 2347080584172 3520620876258 4694161168344 7041241752516 14082483505032