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434141034004 = 223134301102071
BaseRepresentation
bin1100101000101001101…
…00100111011000010100
31112111121000221121002201
412110110310213120110
524103110101042004
6531235221014244
743236263621206
oct6242464473024
91474530847081
10434141034004
11158133328587
1270180b54384
1331c29904a02
1417026594776
15b45dd556a4
hex6514d27614

434141034004 has 24 divisors (see below), whose sum is σ = 784285318656. Its totient is φ = 210060060000.

The previous prime is 434141034001. The next prime is 434141034023. The reversal of 434141034004 is 400430141434.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434141034001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4202289 + ... + 4304359.

It is an arithmetic number, because the mean of its divisors is an integer number (32678554944).

Almost surely, 2434141034004 is an apocalyptic number.

It is an amenable number.

434141034004 is a deficient number, since it is larger than the sum of its proper divisors (350144284652).

434141034004 is a wasteful number, since it uses less digits than its factorization.

434141034004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136407 (or 136405 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 434141034004 its reverse (400430141434), we get a palindrome (834571175438).

The spelling of 434141034004 in words is "four hundred thirty-four billion, one hundred forty-one million, thirty-four thousand, four".

Divisors: 1 2 4 31 62 124 34301 68602 102071 137204 204142 408284 1063331 2126662 3164201 4253324 6328402 12656804 3501137371 7002274742 14004549484 108535258501 217070517002 434141034004