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334130303031433 = 19791972149152579
BaseRepresentation
bin100101111111000111100011…
…0000001010101100010001001
31121211001112201022110212212121
41023332033012001111202021
5322243342330034001213
63142345201523411241
7130244055251523346
oct11376170601254211
91554045638425777
10334130303031433
1197511958336277
1231584836523b21
1311459477233b4c
145c71dc894d7cd
152896768d6388d
hex12fe3c6055889

334130303031433 has 32 divisors (see below), whose sum is σ = 357999637248000. Its totient is φ = 310930737324480.

The previous prime is 334130303031383. The next prime is 334130303031463.

334130303031433 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 334130303031433 - 213 = 334130303023241 is a prime.

It is a super-2 number, since 2×3341303030314332 (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 (334130303031463) 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 31 ways as a sum of consecutive naturals, for example, 6354797938 + ... + 6354850516.

It is an arithmetic number, because the mean of its divisors is an integer number (11187488664000).

Almost surely, 2334130303031433 is an apocalyptic number.

It is an amenable number.

334130303031433 is a deficient number, since it is larger than the sum of its proper divisors (23869334216567).

334130303031433 is a wasteful number, since it uses less digits than its factorization.

334130303031433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74365.

The product of its (nonzero) digits is 104976, while the sum is 34.

It can be divided in two parts, 33413030 and 3031433, that added together give a palindrome (36444463).

The spelling of 334130303031433 in words is "three hundred thirty-four trillion, one hundred thirty billion, three hundred three million, thirty-one thousand, four hundred thirty-three".

Divisors: 1 19 79 197 1501 3743 15563 21491 52579 295697 408329 999001 1697789 4153741 4233727 10358063 32257991 78921079 80440813 196803197 334464433 818286977 1129975289 6354824227 15547452563 21469530491 89268047831 222605131933 1696092908789 4229497506727 17585805422707 334130303031433