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346440101044643 = 10125113665737093
BaseRepresentation
bin100111011000101011101111…
…1001010001010000110100011
31200102122100110022011122202022
41032301113133022022012203
5330402033311331412033
63224452215120212055
7132654320443312514
oct11661273712120643
91612570408148668
10346440101044643
11a0428470401751
1232a324b4a6a02b
1311b4021363b088
146179b0ca54a0b
152a0ba7e703098
hex13b15df28a1a3

346440101044643 has 8 divisors (see below), whose sum is σ = 351264106264176. Its totient is φ = 341643427300000.

The previous prime is 346440101044633. The next prime is 346440101044651.

It is a happy number.

346440101044643 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 346440101044643 - 26 = 346440101044579 is a prime.

It is a super-2 number, since 2×3464401010446432 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 346440101044594 and 346440101044603.

It is not an unprimeable number, because it can be changed into a prime (346440101044633) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6832843196 + ... + 6832893897.

It is an arithmetic number, because the mean of its divisors is an integer number (43908013283022).

Almost surely, 2346440101044643 is an apocalyptic number.

346440101044643 is a deficient number, since it is larger than the sum of its proper divisors (4824005219533).

346440101044643 is a wasteful number, since it uses less digits than its factorization.

346440101044643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13665737445.

The product of its (nonzero) digits is 1327104, while the sum is 44.

It can be divided in two parts, 34644010 and 1044643, that added together give a palindrome (35688653).

The spelling of 346440101044643 in words is "three hundred forty-six trillion, four hundred forty billion, one hundred one million, forty-four thousand, six hundred forty-three".

Divisors: 1 101 251 25351 13665737093 1380239446393 3430100010343 346440101044643