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434141320431 = 37132477642011
BaseRepresentation
bin1100101000101001101…
…01101101010011101111
31112111121001111011000010
412110110311231103233
524103110134223211
6531235231104303
743236266223240
oct6242465552357
91474531434003
10434141320431
111581335037a5
1270181072093
1331c299a51b0
141702662acc7
15b45ddb04a6
hex6514d6d4ef

434141320431 has 32 divisors (see below), whose sum is σ = 712725769728. Its totient is φ = 228904813440.

The previous prime is 434141320397. The next prime is 434141320441. The reversal of 434141320431 is 134023141434.

It is not a de Polignac number, because 434141320431 - 211 = 434141318383 is a prime.

It is a super-2 number, since 2×4341413204312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434141320441) 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, 355216 + ... + 997226.

It is an arithmetic number, because the mean of its divisors is an integer number (22272680304).

Almost surely, 2434141320431 is an apocalyptic number.

434141320431 is a deficient number, since it is larger than the sum of its proper divisors (278584449297).

434141320431 is a wasteful number, since it uses less digits than its factorization.

434141320431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644511.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 434141320431 its reverse (134023141434), we get a palindrome (568164461865).

The spelling of 434141320431 in words is "four hundred thirty-four billion, one hundred forty-one million, three hundred twenty thousand, four hundred thirty-one".

Divisors: 1 3 7 13 21 39 91 273 2477 7431 17339 32201 52017 96603 225407 642011 676221 1926033 4494077 8346143 13482231 25038429 58423001 175269003 1590261247 4770783741 11131828729 20673396211 33395486187 62020188633 144713773477 434141320431