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34451211215443 = 1183101373604711
BaseRepresentation
bin1111101010101010011000…
…01101001110001001010011
311111222111121010220010021011
413311111030031032021103
514003422040032343233
6201134400135311351
710154006062425421
oct765251415161123
9144874533803234
1034451211215443
11aa82749654170
123a44a60b1b557
13162b973536059
14871639dcc111
153eb24d5260cd
hex1f554c34e253

34451211215443 has 16 divisors (see below), whose sum is σ = 38412542068992. Its totient is φ = 30635586220000.

The previous prime is 34451211215437. The next prime is 34451211215453.

34451211215443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 34451211215443 - 229 = 34450674344531 is a prime.

It is a super-2 number, since 2×344512112154432 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34451211215396 and 34451211215405.

It is not an unprimeable number, because it can be changed into a prime (34451211215453) 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, 186710143 + ... + 186894568.

It is an arithmetic number, because the mean of its divisors is an integer number (2400783879312).

Almost surely, 234451211215443 is an apocalyptic number.

34451211215443 is a deficient number, since it is larger than the sum of its proper divisors (3961330853549).

34451211215443 is a wasteful number, since it uses less digits than its factorization.

34451211215443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373604906.

The product of its digits is 230400, while the sum is 40.

The spelling of 34451211215443 in words is "thirty-four trillion, four hundred fifty-one billion, two hundred eleven million, two hundred fifteen thousand, four hundred forty-three".

Divisors: 1 11 83 101 913 1111 8383 92213 373604711 4109651821 31009191013 37734075811 341101101143 415074833921 3131928292313 34451211215443