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34111243340001 = 331263379382963
BaseRepresentation
bin1111100000110001001001…
…00010101100100011100001
311110210000002012100122122000
413300120210202230203201
513432334311243340001
6200314253332034213
710120312260236622
oct760304442544341
9143700065318560
1034111243340001
11a961551650553
1239aaba2462969
1316058a41c1c09
1485cdc8a81a49
153e24a20c8a86
hex1f06248ac8e1

34111243340001 has 8 divisors (see below), whose sum is σ = 50535175318560. Its totient is φ = 22740828893316.

The previous prime is 34111243339981. The next prime is 34111243340081. The reversal of 34111243340001 is 10004334211143.

34111243340001 is a `hidden beast` number, since 3 + 4 + 1 + 11 + 243 + 3 + 400 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2k-34111243340001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 1263379382963 = 34111243340001 / (3 + 4 + 1 + 1 + 1 + 2 + 4 + 3 + 3 + 4 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (34111243340081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 631689691455 + ... + 631689691508.

It is an arithmetic number, because the mean of its divisors is an integer number (6316896914820).

Almost surely, 234111243340001 is an apocalyptic number.

It is an amenable number.

34111243340001 is a deficient number, since it is larger than the sum of its proper divisors (16423931978559).

34111243340001 is a wasteful number, since it uses less digits than its factorization.

34111243340001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263379382972 (or 1263379382966 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 34111243340001 its reverse (10004334211143), we get a palindrome (44115577551144).

The spelling of 34111243340001 in words is "thirty-four trillion, one hundred eleven billion, two hundred forty-three million, three hundred forty thousand, one".

Divisors: 1 3 9 27 1263379382963 3790138148889 11370414446667 34111243340001