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354234610041 = 313431493141481
BaseRepresentation
bin1010010011110100000…
…01110011000101111001
31020212100012220200021220
411021322001303011321
521300433030010131
6430422205022253
734410156335064
oct5117201630571
91225305820256
10354234610041
11127259225574
12587a0554989
1327533ca4740
14132060178db
159333bbce96
hex527a073179

354234610041 has 32 divisors (see below), whose sum is σ = 520825802112. Its totient is φ = 212776865280.

The previous prime is 354234610031. The next prime is 354234610073. The reversal of 354234610041 is 140016432453.

It is a happy number.

It is not a de Polignac number, because 354234610041 - 29 = 354234609529 is a prime.

It is a super-3 number, since 3×3542346100413 (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 354234609984 and 354234610011.

It is not an unprimeable number, because it can be changed into a prime (354234610021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2433021 + ... + 2574501.

It is an arithmetic number, because the mean of its divisors is an integer number (16275806316).

Almost surely, 2354234610041 is an apocalyptic number.

It is an amenable number.

354234610041 is a deficient number, since it is larger than the sum of its proper divisors (166591192071).

354234610041 is a wasteful number, since it uses less digits than its factorization.

354234610041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143033.

The product of its (nonzero) digits is 34560, while the sum is 33.

It can be divided in two parts, 35423 and 4610041, that added together give a palindrome (4645464).

The spelling of 354234610041 in words is "three hundred fifty-four billion, two hundred thirty-four million, six hundred ten thousand, forty-one".

Divisors: 1 3 13 39 43 129 559 1493 1677 4479 19409 58227 64199 141481 192597 424443 834587 1839253 2503761 5517759 6083683 18251049 79087879 211231133 237263637 633693399 2746004729 8238014187 9082938719 27248816157 118078203347 354234610041