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34131421424 = 2417125483167
BaseRepresentation
bin11111110010011001…
…000010100011110000
310021002200021212010102
4133302121002203300
51024400120441144
623402454451532
72315544203162
oct376231024360
9107080255112
1034131421424
1113525330101
126746663ba8
1332ac2ac269
14191b00c932
15d4b6adb4e
hex7f26428f0

34131421424 has 20 divisors (see below), whose sum is σ = 70019607744. Its totient is φ = 16061845248.

The previous prime is 34131421421. The next prime is 34131421427. The reversal of 34131421424 is 42412413143.

It is an interprime number because it is at equal distance from previous prime (34131421421) and next prime (34131421427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34131421421) 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 3 ways as a sum of consecutive naturals, for example, 62741312 + ... + 62741855.

Almost surely, 234131421424 is an apocalyptic number.

34131421424 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

34131421424 is an abundant number, since it is smaller than the sum of its proper divisors (35888186320).

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

34131421424 is a wasteful number, since it uses less digits than its factorization.

34131421424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125483192 (or 125483186 counting only the distinct ones).

The product of its digits is 9216, while the sum is 29.

Adding to 34131421424 its reverse (42412413143), we get a palindrome (76543834567).

The spelling of 34131421424 in words is "thirty-four billion, one hundred thirty-one million, four hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 125483167 250966334 501932668 1003865336 2007730672 2133213839 4266427678 8532855356 17065710712 34131421424