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34444004410 = 252926167141
BaseRepresentation
bin100000000101000001…
…011100110000111010
310021220110110201101001
4200011001130300322
51031020131120120
623453502315214
72326361130634
oct400501346072
9107813421331
1034444004410
1113675819352
126813288b0a
13332bc944ca
14194a739a54
15d68d55e0a
hex80505cc3a

34444004410 has 48 divisors (see below), whose sum is σ = 65264441112. Its totient is φ = 13084243200.

The previous prime is 34444004393. The next prime is 34444004449. The reversal of 34444004410 is 1440044443.

It can be written as a sum of positive squares in 12 ways, for example, as 2247802921 + 32196201489 = 47411^2 + 179433^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 479440 + ... + 546580.

Almost surely, 234444004410 is an apocalyptic number.

34444004410 is a deficient number, since it is larger than the sum of its proper divisors (30820436702).

34444004410 is a wasteful number, since it uses less digits than its factorization.

34444004410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67267 (or 67238 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 34444004410 its reverse (1440044443), we get a palindrome (35884048853).

The spelling of 34444004410 in words is "thirty-four billion, four hundred forty-four million, four thousand, four hundred ten".

Divisors: 1 2 5 10 29 58 61 122 145 290 305 610 841 1682 1769 3538 4205 8410 8845 17690 51301 67141 102602 134282 256505 335705 513010 671410 1947089 3894178 4095601 8191202 9735445 19470890 20478005 40956010 56465581 112931162 118772429 237544858 282327905 564655810 593862145 1187724290 3444400441 6888800882 17222002205 34444004410