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141435534141 = 32111811788869
BaseRepresentation
bin1000001110111000110…
…1101111101100111101
3111112001212220120101100
42003232031233230331
54304124444043031
6144550302203313
713134622130016
oct2035615575475
9445055816340
10141435534141
1154a897431a0
12234b2583539
1310450102695
146bba15000d
153a2bc84de6
hex20ee36fb3d

141435534141 has 24 divisors (see below), whose sum is σ = 222991460640. Its totient is φ = 85671064800.

The previous prime is 141435534133. The next prime is 141435534161.

141435534141 is a `hidden beast` number, since 1 + 41 + 43 + 5 + 534 + 1 + 41 = 666.

141435534141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141435534141 - 23 = 141435534133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 141435534096 and 141435534105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141435534161) 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, 215146 + ... + 573723.

It is an arithmetic number, because the mean of its divisors is an integer number (9291310860).

Almost surely, 2141435534141 is an apocalyptic number.

141435534141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

141435534141 is a deficient number, since it is larger than the sum of its proper divisors (81555926499).

141435534141 is a wasteful number, since it uses less digits than its factorization.

141435534141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790697 (or 790694 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 141435 and 534141, that added together give a palindrome (675576).

The spelling of 141435534141 in words is "one hundred forty-one billion, four hundred thirty-five million, five hundred thirty-four thousand, one hundred forty-one".

Divisors: 1 3 9 11 33 99 1811 5433 16299 19921 59763 179289 788869 2366607 7099821 8677559 26032677 78098031 1428641759 4285925277 12857775831 15715059349 47145178047 141435534141