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345442141244543 = 71012273214959413
BaseRepresentation
bin100111010001011011000010…
…0000111101000110001111111
31200022002221112202202010101112
41032202312010013220301333
5330234211001124311133
63222405532350232235
7132522241201055240
oct11642660407506177
91608087482663345
10345442141244543
11a008320a090182
12328b10021b567b
1311a9a091c53415
1461436bb56ccc7
1529e0b22140648
hex13a2d841e8c7f

345442141244543 has 16 divisors (see below), whose sum is σ = 398875249267776. Its totient is φ = 293032670438400.

The previous prime is 345442141244527. The next prime is 345442141244561.

It is a happy number.

345442141244543 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 345442141244543 - 24 = 345442141244527 is a prime.

It is a super-2 number, since 2×3454421412445432 (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 = 345442141244491 and 345442141244500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345442141274543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105872696 + ... + 109086717.

It is an arithmetic number, because the mean of its divisors is an integer number (24929703079236).

Almost surely, 2345442141244543 is an apocalyptic number.

345442141244543 is a deficient number, since it is larger than the sum of its proper divisors (53433108023233).

345442141244543 is a wasteful number, since it uses less digits than its factorization.

345442141244543 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214961794.

The product of its digits is 14745600, while the sum is 50.

The spelling of 345442141244543 in words is "three hundred forty-five trillion, four hundred forty-two billion, one hundred forty-one million, two hundred forty-four thousand, five hundred forty-three".

Divisors: 1 7 101 707 2273 15911 229573 1607011 214959413 1504715891 21710900713 151976304991 488602745749 3420219220243 49348877320649 345442141244543