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344252252443 = 11101421173583
BaseRepresentation
bin1010000001001110000…
…10001000000100011011
31012220120112100100222211
411000213002020010123
521120012034034233
6422051452255551
733604614602521
oct5004702100433
91186515310884
10344252252443
11122aa6470560
12568754715b7
1326602b53578
141293a368311
158e4c6475cd
hex502708811b

344252252443 has 16 divisors (see below), whose sum is σ = 379361428992. Its totient is φ = 309780220000.

The previous prime is 344252252437. The next prime is 344252252479.

344252252443 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-344252252443 is a prime.

It is a super-2 number, since 2×3442522524432 (a number of 24 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 = 344252252396 and 344252252405.

It is not an unprimeable number, because it can be changed into a prime (344252252243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4641630 + ... + 4715212.

It is an arithmetic number, because the mean of its divisors is an integer number (23710089312).

Almost surely, 2344252252443 is an apocalyptic number.

344252252443 is a deficient number, since it is larger than the sum of its proper divisors (35109176549).

344252252443 is a wasteful number, since it uses less digits than its factorization.

344252252443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77906.

The product of its digits is 921600, while the sum is 40.

It can be divided in two parts, 344252 and 252443, that added together give a palindrome (596695).

The spelling of 344252252443 in words is "three hundred forty-four billion, two hundred fifty-two million, two hundred fifty-two thousand, four hundred forty-three".

Divisors: 1 11 101 1111 4211 46321 73583 425311 809413 4678421 7431883 81750713 309858013 3408438143 31295659313 344252252443