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34023011032043 = 1129331993212603
BaseRepresentation
bin1111011110001100110010…
…11111001001101111101011
311110110120100010201000010022
413233012121133021233223
513424413111311011133
6200205542215311055
710111036634060315
oct757063137115753
9143416303630108
1034023011032043
11a928094827680
123995a7967b48b
1315ca48268a377
14858a1884a7b5
153e003b022998
hex1ef1997c9beb

34023011032043 has 16 divisors (see below), whose sum is σ = 38397043008000. Its totient is φ = 29862549134880.

The previous prime is 34023011032019. The next prime is 34023011032079.

34023011032043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34023011032043 - 218 = 34023010769899 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34023011032013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8984180 + ... + 12196782.

It is an arithmetic number, because the mean of its divisors is an integer number (2399815188000).

Almost surely, 234023011032043 is an apocalyptic number.

34023011032043 is a deficient number, since it is larger than the sum of its proper divisors (4374031975957).

34023011032043 is a wasteful number, since it uses less digits than its factorization.

34023011032043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3245842.

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 3402301 and 1032043, that added together give a palindrome (4434344).

The spelling of 34023011032043 in words is "thirty-four trillion, twenty-three billion, eleven million, thirty-two thousand, forty-three".

Divisors: 1 11 29 319 33199 365189 962771 3212603 10590481 35338633 93165487 1024820357 106655206997 1173207276967 3093001002913 34023011032043