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34044412041 = 3217534198349
BaseRepresentation
bin11111101101001101…
…001000000010001001
310020212121120022200200
4133231031020002021
51024210332141131
623350105522413
72313436504413
oct375515100211
9106777508620
1034044412041
1113490201722
1267214a3409
133297266613
14190d63d9b3
15d43c232e6
hex7ed348089

34044412041 has 24 divisors (see below), whose sum is σ = 53050350600. Its totient is φ = 20958153216.

The previous prime is 34044412027. The next prime is 34044412043. The reversal of 34044412041 is 14021444043.

It can be written as a sum of positive squares in 4 ways, for example, as 20002162041 + 14042250000 = 141429^2 + 118500^2 .

It is not a de Polignac number, because 34044412041 - 234 = 16864542857 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34044411996 and 34044412014.

It is not an unprimeable number, because it can be changed into a prime (34044412043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2091066 + ... + 2107283.

It is an arithmetic number, because the mean of its divisors is an integer number (2210431275).

Almost surely, 234044412041 is an apocalyptic number.

It is an amenable number.

34044412041 is a deficient number, since it is larger than the sum of its proper divisors (19005938559).

34044412041 is a wasteful number, since it uses less digits than its factorization.

34044412041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4198425 (or 4198422 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 34044412041 its reverse (14021444043), we get a palindrome (48065856084).

The spelling of 34044412041 in words is "thirty-four billion, forty-four million, four hundred twelve thousand, forty-one".

Divisors: 1 3 9 17 51 53 153 159 477 901 2703 8109 4198349 12595047 37785141 71371933 214115799 222512497 642347397 667537491 2002612473 3782712449 11348137347 34044412041