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34301112523457 = 1345746371245121
BaseRepresentation
bin1111100110010010110011…
…01000001001101011000001
311111110011011111201112102212
413303021121220021223001
513443442134301222312
6200541414043351505
710140113354540423
oct763113150115301
9144404144645385
1034301112523457
11aa2502487829a
123a1b951222595
13161a7726b0590
1486827b4aa813
153e73b5e4e822
hex1f3259a09ac1

34301112523457 has 16 divisors (see below), whose sum is σ = 37028503860432. Its totient is φ = 31586443223040.

The previous prime is 34301112523429. The next prime is 34301112523463. The reversal of 34301112523457 is 75432521110343.

It can be written as a sum of positive squares in 8 ways, for example, as 5679051221776 + 28622061301681 = 2383076^2 + 5349959^2 .

It is a cyclic number.

It is not a de Polignac number, because 34301112523457 - 28 = 34301112523201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34301112523417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26925857 + ... + 28170977.

It is an arithmetic number, because the mean of its divisors is an integer number (2314281491277).

Almost surely, 234301112523457 is an apocalyptic number.

It is an amenable number.

34301112523457 is a deficient number, since it is larger than the sum of its proper divisors (2727391336975).

34301112523457 is a wasteful number, since it uses less digits than its factorization.

34301112523457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250228.

The product of its (nonzero) digits is 302400, while the sum is 41.

The spelling of 34301112523457 in words is "thirty-four trillion, three hundred one billion, one hundred twelve million, five hundred twenty-three thousand, four hundred fifty-seven".

Divisors: 1 13 457 4637 5941 60281 1245121 2119109 16186573 27548417 569020297 5773626077 7397263861 75057139001 2638547117189 34301112523457