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141014534031 = 32723293355811
BaseRepresentation
bin1000001101010100011…
…1110000011110001111
3111110222112201112210200
42003111013300132033
54302244210042111
6144440422504543
713121320522320
oct2032507603617
9443875645720
10141014534031
1154893034618
12233b5595153
13103b3b1a6a7
146b7a280447
153a04d24256
hex20d51f078f

141014534031 has 48 divisors (see below), whose sum is σ = 251283202560. Its totient is φ = 74418442560.

The previous prime is 141014533909. The next prime is 141014534057. The reversal of 141014534031 is 130435410141.

141014534031 is a `hidden beast` number, since 141 + 0 + 1 + 453 + 40 + 31 = 666.

141014534031 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141014534031 - 29 = 141014533519 is a prime.

It is a super-2 number, since 2×1410145340312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141014533986 and 141014534004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141014534231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1635885 + ... + 1719926.

It is an arithmetic number, because the mean of its divisors is an integer number (5235066720).

Almost surely, 2141014534031 is an apocalyptic number.

141014534031 is a deficient number, since it is larger than the sum of its proper divisors (110268668529).

141014534031 is a wasteful number, since it uses less digits than its factorization.

141014534031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3355876 (or 3355873 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 141014534031 its reverse (130435410141), we get a palindrome (271449944172).

The spelling of 141014534031 in words is "one hundred forty-one billion, fourteen million, five hundred thirty-four thousand, thirty-one".

Divisors: 1 3 7 9 21 23 29 63 69 87 161 203 207 261 483 609 667 1449 1827 2001 4669 6003 14007 42021 3355811 10067433 23490677 30202299 70472031 77183653 97318519 211416093 231550959 291955557 540285571 681229633 694652877 875866671 1620856713 2043688899 2238325937 4862570139 6131066697 6714977811 15668281559 20144933433 47004844677 141014534031