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420032410413 = 37114342286561
BaseRepresentation
bin1100001110010111110…
…00011111001100101101
31111011011210002020222020
412013023320133030231
523340211244113123
6520543224140353
742226536402630
oct6071370371455
91434153066866
10420032410413
11152153388890
12694a40076b9
13307bb953125
14164888c3c17
15add54177e3
hex61cbe1f32d

420032410413 has 32 divisors (see below), whose sum is σ = 714473751552. Its totient is φ = 213124262400.

The previous prime is 420032410379. The next prime is 420032410429. The reversal of 420032410413 is 314014230024.

It is not a de Polignac number, because 420032410413 - 28 = 420032410157 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420032410463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21133348 + ... + 21153213.

It is an arithmetic number, because the mean of its divisors is an integer number (22327304736).

Almost surely, 2420032410413 is an apocalyptic number.

420032410413 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

420032410413 is a deficient number, since it is larger than the sum of its proper divisors (294441341139).

420032410413 is a wasteful number, since it uses less digits than its factorization.

420032410413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42286625.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 420032410413 its reverse (314014230024), we get a palindrome (734046640437).

The spelling of 420032410413 in words is "four hundred twenty billion, thirty-two million, four hundred ten thousand, four hundred thirteen".

Divisors: 1 3 7 11 21 33 43 77 129 231 301 473 903 1419 3311 9933 42286561 126859683 296005927 465152171 888017781 1395456513 1818322123 3256065197 5454966369 9768195591 12728254861 20001543353 38184764583 60004630059 140010803471 420032410413