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342114040411243 = 2397606725275359
BaseRepresentation
bin100110111001001101010000…
…1110110011111010001101011
31122212022210010200212120202121
41031302122201312133101223
5324320144023321124433
63211341004231212111
7132026631563536012
oct11562324166372153
91585283120776677
10342114040411243
119a00a827a10231
1232453babb17037
13118b82a5831009
14606a59d417a79
152984288209c2d
hex13726a1d9f46b

342114040411243 has 16 divisors (see below), whose sum is σ = 360728320296960. Its totient is φ = 323812519278336.

The previous prime is 342114040411237. The next prime is 342114040411301.

342114040411243 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-342114040411243 is a prime.

It is a super-3 number, since 3×3421140404112433 (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 342114040411199 and 342114040411208.

It is not an unprimeable number, because it can be changed into a prime (342114040411343) 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, 897798 + ... + 26173156.

It is an arithmetic number, because the mean of its divisors is an integer number (22545520018560).

Almost surely, 2342114040411243 is an apocalyptic number.

342114040411243 is a deficient number, since it is larger than the sum of its proper divisors (18614279885717).

342114040411243 is a wasteful number, since it uses less digits than its factorization.

342114040411243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25281546.

The product of its (nonzero) digits is 36864, while the sum is 34.

The spelling of 342114040411243 in words is "three hundred forty-two trillion, one hundred fourteen billion, forty million, four hundred eleven thousand, two hundred forty-three".

Divisors: 1 23 97 2231 6067 139541 588499 13535477 25275359 581333257 2451709823 56389325929 153345603053 3526948870219 14874523496141 342114040411243