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334311040113433 = 19208323473599107
BaseRepresentation
bin100110000000011011101101…
…0110010100101101100011001
31121211200211020012011221112121
41030000313122302211230121
5322304323002232112213
63143004212134341241
7130263114140420515
oct11400673262455431
91554624205157477
10334311040113433
1197581574745029
12315b3876aba821
131147051b79c096
145c7aa525b7145
15289b2e611688d
hex1300ddaca5b19

334311040113433 has 16 divisors (see below), whose sum is σ = 352225408741120. Its totient is φ = 316428706285776.

The previous prime is 334311040113431. The next prime is 334311040113499.

334311040113433 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 334311040113433 - 21 = 334311040113431 is a prime.

It is a super-2 number, since 2×3343110401134332 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (334311040113431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91087666 + ... + 94686772.

It is an arithmetic number, because the mean of its divisors is an integer number (22014088046320).

Almost surely, 2334311040113433 is an apocalyptic number.

It is an amenable number.

334311040113433 is a deficient number, since it is larger than the sum of its proper divisors (17914368627687).

334311040113433 is a wasteful number, since it uses less digits than its factorization.

334311040113433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3603556.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 334311040113433 in words is "three hundred thirty-four trillion, three hundred eleven billion, forty million, one hundred thirteen thousand, four hundred thirty-three".

Divisors: 1 19 2083 2347 39577 44593 3599107 4888801 68383033 92887219 7496939881 8447104129 142441857739 160494978451 17595317900707 334311040113433