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434031531441 = 3733375880947
BaseRepresentation
bin1100101000011100100…
…10111001010110110001
31112111022101220021211020
412110032102321112301
524102344033001231
6531220310010053
743233464100564
oct6241622712661
91474271807736
10434031531441
111580875366a2
1270150346929
1331c10014bb1
1417015c0c4db
15b454425396
hex650e4b95b1

434031531441 has 16 divisors (see below), whose sum is σ = 588377085504. Its totient is φ = 284543691264.

The previous prime is 434031531421. The next prime is 434031531449. The reversal of 434031531441 is 144135130434.

It is not a de Polignac number, because 434031531441 - 219 = 434031007153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (434031531449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2866671 + ... + 3014276.

It is an arithmetic number, because the mean of its divisors is an integer number (36773567844).

Almost surely, 2434031531441 is an apocalyptic number.

It is an amenable number.

434031531441 is a deficient number, since it is larger than the sum of its proper divisors (154345554063).

434031531441 is a wasteful number, since it uses less digits than its factorization.

434031531441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5881360.

The product of its (nonzero) digits is 34560, while the sum is 33.

Adding to 434031531441 its reverse (144135130434), we get a palindrome (578166661875).

The spelling of 434031531441 in words is "four hundred thirty-four billion, thirty-one million, five hundred thirty-one thousand, four hundred forty-one".

Divisors: 1 3 73 219 337 1011 24601 73803 5880947 17642841 429309131 1287927393 1981879139 5945637417 144677177147 434031531441