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141535424535141 = 37133714012021041
BaseRepresentation
bin100000001011100111001000…
…101100111101101001100101
3200120010122200002101111222210
4200023213020230331221211
5122022404022140111031
61221004250523314033
741545411522350540
oct4013471054755145
9616118602344883
10141535424535141
114110892236915a
1213a5a61b37b919
1360c896bc9c9b0
1426d44cb5b3857
1511569db824746
hex80b9c8b3da65

141535424535141 has 32 divisors (see below), whose sum is σ = 238540646219008. Its totient is φ = 72638317071360.

The previous prime is 141535424535137. The next prime is 141535424535151.

It is a happy number.

141535424535141 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 141535424535141 - 22 = 141535424535137 is a prime.

It is a super-3 number, since 3×1415354245351413 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141535424535151) 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 31 ways as a sum of consecutive naturals, for example, 7006000420 + ... + 7006020621.

It is an arithmetic number, because the mean of its divisors is an integer number (7454395194344).

Almost surely, 2141535424535141 is an apocalyptic number.

It is an amenable number.

141535424535141 is a deficient number, since it is larger than the sum of its proper divisors (97005221683867).

141535424535141 is a wasteful number, since it uses less digits than its factorization.

141535424535141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14012021101.

The product of its digits is 2880000, while the sum is 48.

The spelling of 141535424535141 in words is "one hundred forty-one trillion, five hundred thirty-five billion, four hundred twenty-four million, five hundred thirty-five thousand, one hundred forty-one".

Divisors: 1 3 7 13 21 37 39 91 111 259 273 481 777 1443 3367 10101 14012021041 42036063123 98084147287 182156273533 294252441861 518444778517 546468820599 1275093914731 1555334335551 3629113449619 3825281744193 6739782120721 10887340348857 20219346362163 47178474845047 141535424535141