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434213414401 = 131789127173827
BaseRepresentation
bin1100101000110010010…
…00101110011000000001
31112111210002010220100011
412110121020232120001
524103232113230101
6531250324224521
743241133060604
oct6243110563001
91474702126304
10434213414401
11158170174a98
12701a123b141
1331c3b8c7b50
141703203633b
15b4653a1751
hex651922e601

434213414401 has 32 divisors (see below), whose sum is σ = 504629637120. Its totient is φ = 370057476096.

The previous prime is 434213414399. The next prime is 434213414471. The reversal of 434213414401 is 104414312434.

It is a cyclic number.

It is not a de Polignac number, because 434213414401 - 21 = 434213414399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (434213414471) 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, 2411050 + ... + 2584876.

It is an arithmetic number, because the mean of its divisors is an integer number (15769676160).

Almost surely, 2434213414401 is an apocalyptic number.

It is an amenable number.

434213414401 is a deficient number, since it is larger than the sum of its proper divisors (70416222719).

434213414401 is a wasteful number, since it uses less digits than its factorization.

434213414401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174073.

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 434213414401 its reverse (104414312434), we get a palindrome (538627726835).

The spelling of 434213414401 in words is "four hundred thirty-four billion, two hundred thirteen million, four hundred fourteen thousand, four hundred one".

Divisors: 1 13 17 89 127 221 1157 1513 1651 2159 11303 19669 28067 146939 173827 192151 2259751 2497963 2955059 15470603 22076029 38415767 201117839 263000251 286988377 375292493 1964766581 3419003263 4878802409 25541965553 33401031877 434213414401