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334114343411433 = 313191690192667727
BaseRepresentation
bin100101111111000000000111…
…0110000001101111011101001
31121211000000112001122012000120
41023332000032300031323221
5322243112133403131213
63142334002125353453
7130242651620143104
oct11376001660157351
91554000461565016
10334114343411433
1197506108570582
1231581721708889
1311457b02948410
145c713130cd73b
152896132b97423
hex12fe00ec0dee9

334114343411433 has 32 divisors (see below), whose sum is σ = 505007312947200. Its totient is φ = 194786084045376.

The previous prime is 334114343411413. The next prime is 334114343411447.

334114343411433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334114343411433 - 216 = 334114343345897 is a prime.

It is a super-2 number, since 2×3341143434114332 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334114343411413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123909216 + ... + 126576942.

It is an arithmetic number, because the mean of its divisors is an integer number (15781478529600).

Almost surely, 2334114343411433 is an apocalyptic number.

It is an amenable number.

334114343411433 is a deficient number, since it is larger than the sum of its proper divisors (170892969535767).

334114343411433 is a wasteful number, since it uses less digits than its factorization.

334114343411433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836781.

The product of its digits is 746496, while the sum is 42.

The spelling of 334114343411433 in words is "three hundred thirty-four trillion, one hundred fourteen billion, three hundred forty-three million, four hundred eleven thousand, four hundred thirty-three".

Divisors: 1 3 13 19 39 57 247 741 169019 507057 2197247 2667727 3211361 6591741 8003181 9634083 34680451 41747693 50686813 104041353 125243079 152060439 658928569 1976785707 450896549813 1352689649439 5861655147569 8567034446447 17584965442707 25701103339341 111371447803811 334114343411433