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434144400042 = 2387853823619
BaseRepresentation
bin1100101000101010000…
…01011101001010101010
31112111121021021121102210
412110111001131022222
524103111431300132
6531235421105550
743236334340553
oct6242501351252
91474537247383
10434144400042
11158135217531
12701820b82b6
1331c2a512b52
1417026bcd32a
15b45e2bcbcc
hex651505d2aa

434144400042 has 16 divisors (see below), whose sum is σ = 868299737760. Its totient is φ = 144712977072.

The previous prime is 434144400031. The next prime is 434144400043. The reversal of 434144400042 is 240004441434.

It is a junction number, because it is equal to n+sod(n) for n = 434144399982 and 434144400009.

It is not an unprimeable number, because it can be changed into a prime (434144400043) 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, 115309 + ... + 938927.

It is an arithmetic number, because the mean of its divisors is an integer number (54268733610).

Almost surely, 2434144400042 is an apocalyptic number.

434144400042 is an abundant number, since it is smaller than the sum of its proper divisors (434155337718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

434144400042 is a wasteful number, since it uses less digits than its factorization.

434144400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911477.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 434144400042 its reverse (240004441434), we get a palindrome (674148841476).

The spelling of 434144400042 in words is "four hundred thirty-four billion, one hundred forty-four million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 87853 175706 263559 527118 823619 1647238 2470857 4941714 72357400007 144714800014 217072200021 434144400042