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34144644143 = 178922567511
BaseRepresentation
bin11111110011001011…
…011110110000101111
310021010121011122021202
4133303023132300233
51024412012103033
623404050120115
72316064454321
oct376313366057
9107117148252
1034144644143
1113531841575
12674ab8003b
1332b1c5b95c
14191ca91611
15d4c9218e8
hex7f32dec2f

34144644143 has 8 divisors (see below), whose sum is σ = 36559369440. Its totient is φ = 31775054080.

The previous prime is 34144644137. The next prime is 34144644169.

34144644143 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 34144644143 - 28 = 34144643887 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34144644097 and 34144644106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34144644343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11282243 + ... + 11285268.

It is an arithmetic number, because the mean of its divisors is an integer number (4569921180).

Almost surely, 234144644143 is an apocalyptic number.

34144644143 is a deficient number, since it is larger than the sum of its proper divisors (2414725297).

34144644143 is a wasteful number, since it uses less digits than its factorization.

34144644143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22567617.

The product of its digits is 221184, while the sum is 38.

The spelling of 34144644143 in words is "thirty-four billion, one hundred forty-four million, six hundred forty-four thousand, one hundred forty-three".

Divisors: 1 17 89 1513 22567511 383647687 2008508479 34144644143