Search a number
-
+
345640046543 = 111912771295051
BaseRepresentation
bin1010000011110011100…
…00001000111111001111
31020001011020201121121022
411001321300020333033
521130332322442133
6422441305424355
733654165630461
oct5017160107717
91201136647538
10345640046543
11123648882830
1256ba219b0bb
132679451a3cc
1412a2c7c0131
158ece3ca998
hex5079c08fcf

345640046543 has 16 divisors (see below), whose sum is σ = 397218349440. Its totient is φ = 297447084000.

The previous prime is 345640046539. The next prime is 345640046561.

345640046543 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 345640046543 - 22 = 345640046539 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 345640046494 and 345640046503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345640046513) 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, 380633 + ... + 914418.

It is an arithmetic number, because the mean of its divisors is an integer number (24826146840).

Almost surely, 2345640046543 is an apocalyptic number.

345640046543 is a deficient number, since it is larger than the sum of its proper divisors (51578302897).

345640046543 is a wasteful number, since it uses less digits than its factorization.

345640046543 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296358.

The product of its (nonzero) digits is 2073600, while the sum is 44.

The spelling of 345640046543 in words is "three hundred forty-five billion, six hundred forty million, forty-six thousand, five hundred forty-three".

Divisors: 1 11 19 209 1277 14047 24263 266893 1295051 14245561 24605969 270665659 1653780127 18191581397 31421822413 345640046543