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2305011414041 = 72353270129077
BaseRepresentation
bin100001100010101101011…
…000101111010000011001
322011100122012122002101122
4201202231120233100121
5300231130410222131
64522524014055025
7325350221514110
oct41425530572031
98140565562348
102305011414041
11809605940686
123128877aa475
131394916b9c1b
147d7c53c4c77
153ee5a5e9d7b
hex218ad62f419

2305011414041 has 16 divisors (see below), whose sum is σ = 2800698280704. Its totient is φ = 1854165977664.

The previous prime is 2305011414031. The next prime is 2305011414073. The reversal of 2305011414041 is 1404141105032.

It is not a de Polignac number, because 2305011414041 - 26 = 2305011413977 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2305011414041.

It is not an unprimeable number, because it can be changed into a prime (2305011414031) 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 15 ways as a sum of consecutive naturals, for example, 135056006 + ... + 135073071.

It is an arithmetic number, because the mean of its divisors is an integer number (175043642544).

Almost surely, 22305011414041 is an apocalyptic number.

It is an amenable number.

2305011414041 is a deficient number, since it is larger than the sum of its proper divisors (495686866663).

2305011414041 is a wasteful number, since it uses less digits than its factorization.

2305011414041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270129160.

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 2305011414041 its reverse (1404141105032), we get a palindrome (3709152519073).

The spelling of 2305011414041 in words is "two trillion, three hundred five billion, eleven million, four hundred fourteen thousand, forty-one".

Divisors: 1 7 23 53 161 371 1219 8533 270129077 1890903539 6212968771 14316841081 43490781397 100217887567 329287344863 2305011414041