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34056461404445 = 517223568485401
BaseRepresentation
bin1111011111001011000110…
…10010001100100100011101
311110120202200100110222121212
413233211203102030210131
513430440113104420240
6200233153345034205
710113332601412034
oct757454322144435
9143522610428555
1034056461404445
11a94029a681547
1239a0454025965
13160068383402c
1485a4ad21571b
153e0d47a04165
hex1ef96348c91d

34056461404445 has 12 divisors (see below), whose sum is σ = 43413150110484. Its totient is φ = 25642512115200.

The previous prime is 34056461404421. The next prime is 34056461404517. The reversal of 34056461404445 is 54440416465043.

It can be written as a sum of positive squares in 6 ways, for example, as 3716833112281 + 30339628292164 = 1927909^2 + 5508142^2 .

It is not a de Polignac number, because 34056461404445 - 222 = 34056457210141 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 34056461404393 and 34056461404402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11784241256 + ... + 11784244145.

It is an arithmetic number, because the mean of its divisors is an integer number (3617762509207).

Almost surely, 234056461404445 is an apocalyptic number.

It is an amenable number.

34056461404445 is a deficient number, since it is larger than the sum of its proper divisors (9356688706039).

34056461404445 is a wasteful number, since it uses less digits than its factorization.

34056461404445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23568485440 (or 23568485423 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 50.

Adding to 34056461404445 its reverse (54440416465043), we get a palindrome (88496877869488).

The spelling of 34056461404445 in words is "thirty-four trillion, fifty-six billion, four hundred sixty-one million, four hundred four thousand, four hundred forty-five".

Divisors: 1 5 17 85 289 1445 23568485401 117842427005 400664251817 2003321259085 6811292280889 34056461404445