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334142241433 = 7311136812417
BaseRepresentation
bin1001101110011000110…
…11011111101010011001
31011221110221120121010121
410313030123133222121
520433310403211213
6413300335513241
733066233122000
oct4671433375231
91157427517117
10334142241433
11119788647660
1254913688821
1325681428a30
141225b769c37
158a59ca888d
hex4dcc6dfa99

334142241433 has 32 divisors (see below), whose sum is σ = 457794489600. Its totient is φ = 240342036480.

The previous prime is 334142241427. The next prime is 334142241437.

334142241433 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 334142241433 - 213 = 334142233241 is a prime.

It is a super-2 number, since 2×3341422414332 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334142241437) 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, 3357160 + ... + 3455257.

It is an arithmetic number, because the mean of its divisors is an integer number (14306077800).

Almost surely, 2334142241433 is an apocalyptic number.

It is an amenable number.

334142241433 is a deficient number, since it is larger than the sum of its proper divisors (123652248167).

334142241433 is a wasteful number, since it uses less digits than its factorization.

334142241433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812462 (or 6812448 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

It can be divided in two parts, 334142 and 241433, that added together give a palindrome (575575).

The spelling of 334142241433 in words is "three hundred thirty-four billion, one hundred forty-two million, two hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 7 11 13 49 77 91 143 343 539 637 1001 3773 4459 7007 49049 6812417 47686919 74936587 88561421 333808433 524556109 619929947 974175631 2336659031 3671892763 4339509629 6819229417 25703249341 30376567403 47734605919 334142241433