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23034414110304 = 2531906912582821
BaseRepresentation
bin1010011110011000111100…
…00100100001011001100000
310000120001211220221201110210
411033030132010201121200
511004343440003012204
6120553510323254120
74565116153262052
oct517143604413140
9100501756851423
1023034414110304
117380927294193
12270028281a340
13cb119c83c3cc
14598c2b90b8d2
1529e2a09c8389
hex14f31e121660

23034414110304 has 48 divisors (see below), whose sum is σ = 60468512716080. Its totient is φ = 7677734776320.

The previous prime is 23034414110303. The next prime is 23034414110333. The reversal of 23034414110304 is 40301141443032.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23034414110303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4460787 + ... + 8122034.

It is an arithmetic number, because the mean of its divisors is an integer number (1259760681585).

Almost surely, 223034414110304 is an apocalyptic number.

23034414110304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23034414110304 is an abundant number, since it is smaller than the sum of its proper divisors (37434098605776).

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

23034414110304 is a wasteful number, since it uses less digits than its factorization.

23034414110304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12601903 (or 12601895 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 23034414110304 its reverse (40301141443032), we get a palindrome (63335555553336).

The spelling of 23034414110304 in words is "twenty-three trillion, thirty-four billion, four hundred fourteen million, one hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 19069 38138 57207 76276 114414 152552 228828 305104 457656 610208 915312 1830624 12582821 25165642 37748463 50331284 75496926 100662568 150993852 201325136 301987704 402650272 603975408 1207950816 239941813649 479883627298 719825440947 959767254596 1439650881894 1919534509192 2879301763788 3839069018384 5758603527576 7678138036768 11517207055152 23034414110304