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128252442614431 = 7914927194007219
BaseRepresentation
bin11101001010010100011001…
…010010001001101010011111
3121211002210222020110222000011
4131022110121102021222133
5113302242000302130211
61132434205254144051
736004635042054142
oct3512243122115237
9554083866428004
10128252442614431
113795761235a003
1212474223652027
1356741cc1691a5
1423956466b4059
15ec6218a77921
hex74a519489a9f

128252442614431 has 16 divisors (see below), whose sum is σ = 130795660800000. Its totient is φ = 125732844241056.

The previous prime is 128252442614393. The next prime is 128252442614477. The reversal of 128252442614431 is 134416244252821.

It is a cyclic number.

It is not a de Polignac number, because 128252442614431 - 211 = 128252442612383 is a prime.

It is a super-2 number, since 2×1282524426144312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128252442618431) 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 15 ways as a sum of consecutive naturals, for example, 30001740 + ... + 34008958.

It is an arithmetic number, because the mean of its divisors is an integer number (8174728800000).

Almost surely, 2128252442614431 is an apocalyptic number.

128252442614431 is a deficient number, since it is larger than the sum of its proper divisors (2543218185569).

128252442614431 is a wasteful number, since it uses less digits than its factorization.

128252442614431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4010166.

The product of its digits is 2949120, while the sum is 49.

The spelling of 128252442614431 in words is "one hundred twenty-eight trillion, two hundred fifty-two billion, four hundred forty-two million, six hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 79 149 2719 11771 214801 405131 4007219 32005349 316570301 597075631 10895628461 47168974849 860754648419 1623448640689 128252442614431