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144430430434213 = 71147193206782039
BaseRepresentation
bin100000110101101111010100…
…100000000011001110100101
3200221101102012000201211122011
4200311233110200003032211
5122412322010142343323
61231102231311034221
742264516464441260
oct4065572440031645
9627342160654564
10144430430434213
11420246687608a0
1214247702b0b971
136278967448651
142794682081cd7
1511a6e7869020d
hex835bd48033a5

144430430434213 has 32 divisors (see below), whose sum is σ = 184853218222080. Its totient is φ = 109577937576960.

The previous prime is 144430430434187. The next prime is 144430430434231. The reversal of 144430430434213 is 312434034034441.

It is a cyclic number.

It is not a de Polignac number, because 144430430434213 - 225 = 144430396879781 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144430430434273) 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, 102692553 + ... + 104089486.

It is an arithmetic number, because the mean of its divisors is an integer number (5776663069440).

Almost surely, 2144430430434213 is an apocalyptic number.

It is an amenable number.

144430430434213 is a deficient number, since it is larger than the sum of its proper divisors (40422787787867).

144430430434213 is a wasteful number, since it uses less digits than its factorization.

144430430434213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206782297.

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144430430434213 its reverse (312434034034441), we get a palindrome (456864464468654).

The spelling of 144430430434213 in words is "one hundred forty-four trillion, four hundred thirty billion, four hundred thirty million, four hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 7 11 47 77 193 329 517 1351 2123 3619 9071 14861 63497 99781 698467 206782039 1447474273 2274602429 9718755833 15922217003 39908933527 68031290831 106906314163 279362534689 438998268797 748344199141 1875719875769 3072987881579 13130039130383 20632918633459 144430430434213