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34210144023 = 3112313040091
BaseRepresentation
bin11111110111000101…
…010101111100010111
310021022011102101020020
4133313011111330113
51030030244102043
623414350040223
72320521266136
oct376705257427
9107264371206
1034210144023
1113565809600
126768aa9073
1332c26b3093
14192766191d
15d5355de83
hex7f7155f17

34210144023 has 24 divisors (see below), whose sum is σ = 51754526208. Its totient is φ = 20064594000.

The previous prime is 34210143977. The next prime is 34210144061. The reversal of 34210144023 is 32044101243.

It is not a de Polignac number, because 34210144023 - 212 = 34210139927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34210143984 and 34210144002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34210146023) 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 23 ways as a sum of consecutive naturals, for example, 1508793 + ... + 1531298.

It is an arithmetic number, because the mean of its divisors is an integer number (2156438592).

Almost surely, 234210144023 is an apocalyptic number.

34210144023 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

34210144023 is a deficient number, since it is larger than the sum of its proper divisors (17544382185).

34210144023 is a wasteful number, since it uses less digits than its factorization.

34210144023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040147 (or 3040136 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 34210144023 its reverse (32044101243), we get a palindrome (66254245266).

The spelling of 34210144023 in words is "thirty-four billion, two hundred ten million, one hundred forty-four thousand, twenty-three".

Divisors: 1 3 11 31 33 93 121 341 363 1023 3751 11253 3040091 9120273 33441001 94242821 100323003 282728463 367851011 1036671031 1103553033 3110013093 11403381341 34210144023