Search a number
-
+
342120404021243 = 61199186115144317
BaseRepresentation
bin100110111001010000001110…
…1001001101110111111111011
31122212100101120012010110120212
41031302200131021232333323
5324320300041412134433
63211343535513341335
7132030245354404601
oct11562403511567773
91585311505113525
10342120404021243
119a0124a3011651
123245528710784b
13118b8a7b039a13
14606aa04637871
15298450bc18d48
hex137281d26effb

342120404021243 has 16 divisors (see below), whose sum is σ = 349664129438400. Its totient is φ = 334640921788800.

The previous prime is 342120404021189. The next prime is 342120404021281.

It is a happy number.

342120404021243 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 342120404021243 - 232 = 342116109053947 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (342120404021743) 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 15 ways as a sum of consecutive naturals, for example, 15018521 + ... + 30162837.

It is an arithmetic number, because the mean of its divisors is an integer number (21854008089900).

Almost surely, 2342120404021243 is an apocalyptic number.

342120404021243 is a deficient number, since it is larger than the sum of its proper divisors (7543725417157).

342120404021243 is a wasteful number, since it uses less digits than its factorization.

342120404021243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146438.

The product of its (nonzero) digits is 36864, while the sum is 32.

It can be divided in two parts, 34212040 and 4021243, that added together give a palindrome (38233283).

The spelling of 342120404021243 in words is "three hundred forty-two trillion, one hundred twenty billion, four hundred four million, twenty-one thousand, two hundred forty-three".

Divisors: 1 61 199 1861 12139 113521 370339 15144317 22590679 923803337 3013719083 28183573937 183836864063 1719198010157 5608531213463 342120404021243