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4344257311745 = 513137487844729
BaseRepresentation
bin111111001101111001111…
…010011111010000000001
3120101022021202120002222112
4333031321322133100001
51032134014332433440
613123420234545105
7625601513610041
oct77157172372001
916338252502875
104344257311745
111425430aa826a
125a1b42b98195
1325687aa00a70
14110398223721
157800dca1965
hex3f379e9f401

4344257311745 has 16 divisors (see below), whose sum is σ = 5655096110160. Its totient is φ = 3184650384384.

The previous prime is 4344257311721. The next prime is 4344257311753. The reversal of 4344257311745 is 5471137524434.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4530905344 + 4339726406401 = 67312^2 + 2083201^2 .

It is a cyclic number.

It is not a de Polignac number, because 4344257311745 - 238 = 4069379404801 is a prime.

It is a super-2 number, since 2×43442573117452 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4344257311693 and 4344257311702.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243913460 + ... + 243931269.

It is an arithmetic number, because the mean of its divisors is an integer number (353443506885).

Almost surely, 24344257311745 is an apocalyptic number.

It is an amenable number.

4344257311745 is a deficient number, since it is larger than the sum of its proper divisors (1310838798415).

4344257311745 is a wasteful number, since it uses less digits than its factorization.

4344257311745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487844884.

The product of its digits is 5644800, while the sum is 50.

The spelling of 4344257311745 in words is "four trillion, three hundred forty-four billion, two hundred fifty-seven million, three hundred eleven thousand, seven hundred forty-five".

Divisors: 1 5 13 65 137 685 1781 8905 487844729 2439223645 6341981477 31709907385 66834727873 334173639365 868851462349 4344257311745