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434134013140 = 22589243895513
BaseRepresentation
bin1100101000101000110…
…01110101010011010100
31112111120112201220021201
412110110121311103110
524103101301410030
6531234410322244
743236150140212
oct6242431652324
91474515656251
10434134013140
1115812a372713
127017a729384
1331c28317159
1417025687cb2
15b45d41a2ca
hex65146754d4

434134013140 has 24 divisors (see below), whose sum is σ = 921925042920. Its totient is φ = 171702440448.

The previous prime is 434134013101. The next prime is 434134013143. The reversal of 434134013140 is 41310431434.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24672241476 + 409461771664 = 157074^2 + 639892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 434134013099 and 434134013108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434134013143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121945977 + ... + 121949536.

It is an arithmetic number, because the mean of its divisors is an integer number (38413543455).

Almost surely, 2434134013140 is an apocalyptic number.

It is an amenable number.

434134013140 is an abundant number, since it is smaller than the sum of its proper divisors (487791029780).

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

434134013140 is a wasteful number, since it uses less digits than its factorization.

434134013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243895611 (or 243895609 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 434134013140 its reverse (41310431434), we get a palindrome (475444444574).

The spelling of 434134013140 in words is "four hundred thirty-four billion, one hundred thirty-four million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 89 178 356 445 890 1780 243895513 487791026 975582052 1219477565 2438955130 4877910260 21706700657 43413401314 86826802628 108533503285 217067006570 434134013140