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342211444112243 = 1725337971298269
BaseRepresentation
bin100110111001111010100111…
…1100100000111101101110011
31122212200002112221010021100002
41031303311033210013231303
5324323243014143042433
63211453433410420215
7132036650413406456
oct11563651744075563
91585602487107302
10342211444112243
119a048070849482
123246aa5429166b
13118c4529495254
14607119d71b49d
152986a895459e8
hex1373d4f907b73

342211444112243 has 48 divisors (see below), whose sum is σ = 371458902564000. Its totient is φ = 315088248803328.

The previous prime is 342211444112227. The next prime is 342211444112257.

342211444112243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 342211444112243 - 24 = 342211444112227 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342211444112197 and 342211444112206.

It is not an unprimeable number, because it can be changed into a prime (342211444112273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41384860313 + ... + 41384868581.

It is an arithmetic number, because the mean of its divisors is an integer number (7738727136750).

Almost surely, 2342211444112243 is an apocalyptic number.

342211444112243 is a deficient number, since it is larger than the sum of its proper divisors (29247458451757).

342211444112243 is a wasteful number, since it uses less digits than its factorization.

342211444112243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15864 (or 15847 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 342211444112243 in words is "three hundred forty-two trillion, two hundred eleven billion, four hundred forty-four million, one hundred twelve thousand, two hundred forty-three".

Divisors: 1 17 53 289 379 901 6443 7129 8269 15317 20087 109531 121193 140573 341479 377837 438257 2060281 2389741 2701891 3133951 5805143 6423229 7450369 45932147 53277167 58949701 109194893 126656273 143200223 166099403 780846499 905711839 1002144917 2434403791 2823689851 3124334153 17036463589 22341936679 41384864447 48002727467 53113680601 379812923543 902932570217 1184122643987 6456819700231 20130084947779 342211444112243