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14130553551138 = 2325314811900997
BaseRepresentation
bin1100110110100000011010…
…0111111111100100100010
31212000212102120110111210100
43031220012213333210202
53323003333202114023
650015253042443230
72655620201256453
oct315500647774442
955025376414710
1014130553551138
1145588091079a2
121702719963516
137b667571041b
1436bccb26d12a
1519787c656c43
hexcda069ff922

14130553551138 has 24 divisors (see below), whose sum is σ = 31193863501788. Its totient is φ = 4621313110752.

The previous prime is 14130553551137. The next prime is 14130553551211. The reversal of 14130553551138 is 83115535503141.

14130553551138 is a `hidden beast` number, since 1 + 4 + 1 + 3 + 0 + 553 + 55 + 11 + 38 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13449478026609 + 681075524529 = 3667353^2 + 825273^2 .

It is a super-3 number, since 3×141305535511383 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14130553551093 and 14130553551102.

It is not an unprimeable number, because it can be changed into a prime (14130553551137) 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 11 ways as a sum of consecutive naturals, for example, 7405949545 + ... + 7405951452.

Almost surely, 214130553551138 is an apocalyptic number.

14130553551138 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

14130553551138 is an abundant number, since it is smaller than the sum of its proper divisors (17063309950650).

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

14130553551138 is a wasteful number, since it uses less digits than its factorization.

14130553551138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14811901058 (or 14811901055 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 14130553551138 in words is "fourteen trillion, one hundred thirty billion, five hundred fifty-three million, five hundred fifty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 53 106 159 318 477 954 14811900997 29623801994 44435702991 88871405982 133307108973 266614217946 785030752841 1570061505682 2355092258523 4710184517046 7065276775569 14130553551138