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254344023443142 = 23293371513357987
BaseRepresentation
bin111001110101001100010101…
…001010110000011011000110
31020100120001101022021200021200
4321311030111022300123012
5231314133030000140032
62300540010433123330
7104400515002051233
oct7165142512603306
91210501338250250
10254344023443142
1174050770553766
12246396aa9b9546
13abbc7000ca809
1446b446037478a
151e611121a647c
hexe753152b06c6

254344023443142 has 24 divisors (see below), whose sum is σ = 551137738785816. Its totient is φ = 84772260943776.

The previous prime is 254344023443123. The next prime is 254344023443201. The reversal of 254344023443142 is 241344320443452.

254344023443142 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 4 + 40 + 23 + 443 + 142 = 666.

It is a super-4 number, since 4×2543440234431424 (a number of 59 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 756510928 + ... + 756847059.

It is an arithmetic number, because the mean of its divisors is an integer number (22964072449409).

Almost surely, 2254344023443142 is an apocalyptic number.

254344023443142 is an abundant number, since it is smaller than the sum of its proper divisors (296793715342674).

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

254344023443142 is a wasteful number, since it uses less digits than its factorization.

254344023443142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513367332 (or 1513367329 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 45.

Adding to 254344023443142 its reverse (241344320443452), we get a palindrome (495688343886594).

The spelling of 254344023443142 in words is "two hundred fifty-four trillion, three hundred forty-four billion, twenty-three million, four hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 9337 18674 28011 56022 84033 168066 1513357987 3026715974 4540073961 9080147922 13620221883 27240443766 14130223524619 28260447049238 42390670573857 84781341147714 127172011721571 254344023443142