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34164046143 = 324389991901
BaseRepresentation
bin11111110100010101…
…011111100100111111
310021011221200100211100
4133310111133210333
51024431443434033
623410022024143
72316421413033
oct376425374477
9107157610740
1034164046143
1113541793587
126755578053
1332b5c92b26
1419214a21c3
15d4e4a5513
hex7f455f93f

34164046143 has 24 divisors (see below), whose sum is σ = 51063114960. Its totient is φ = 21996374400.

The previous prime is 34164046121. The next prime is 34164046151.

34164046143 is a `hidden beast` number, since 3 + 4 + 1 + 640 + 4 + 6 + 1 + 4 + 3 = 666.

34164046143 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34164046143 - 28 = 34164045887 is a prime.

It is a super-2 number, since 2×341640461432 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34164046098 and 34164046107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34164046193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 461508 + ... + 530393.

It is an arithmetic number, because the mean of its divisors is an integer number (2127629790).

Almost surely, 234164046143 is an apocalyptic number.

34164046143 is a deficient number, since it is larger than the sum of its proper divisors (16899068817).

34164046143 is a wasteful number, since it uses less digits than its factorization.

34164046143 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992039 (or 992036 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 341640 and 46143, that added together give a palindrome (387783).

The spelling of 34164046143 in words is "thirty-four billion, one hundred sixty-four million, forty-six thousand, one hundred forty-three".

Divisors: 1 3 9 43 89 129 267 387 801 3827 11481 34443 991901 2975703 8927109 42651743 88279189 127955229 264837567 383865687 794512701 3796005127 11388015381 34164046143