Search a number
-
+
340046424640043 = 11217414031995739
BaseRepresentation
bin100110101010001010011101…
…0010110010000101000101011
31122121000010021000000122222022
41031110110322112100220223
5324032310034201440133
63203115100525415055
7131424354254500442
oct11524247226205053
91577003230018868
10340046424640043
1199392973798800
123217b33770a48b
1311798317aa8594
145dd8498867d59
15294a5c40c9998
hex135453a590a2b

340046424640043 has 24 divisors (see below), whose sum is σ = 405409107665520. Its totient is φ = 283852499955200.

The previous prime is 340046424640037. The next prime is 340046424640057.

It is a happy number.

340046424640043 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 340046424640043 - 236 = 339977705163307 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 340046424639976 and 340046424640003.

It is not an unprimeable number, because it can be changed into a prime (340046424640073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2015913533 + ... + 2016082206.

It is an arithmetic number, because the mean of its divisors is an integer number (16892046152730).

Almost surely, 2340046424640043 is an apocalyptic number.

340046424640043 is a deficient number, since it is larger than the sum of its proper divisors (65362683025477).

340046424640043 is a wasteful number, since it uses less digits than its factorization.

340046424640043 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4031995819 (or 4031995808 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 44.

The spelling of 340046424640043 in words is "three hundred forty trillion, forty-six billion, four hundred twenty-four million, six hundred forty thousand, forty-three".

Divisors: 1 11 17 41 121 187 451 697 2057 4961 7667 84337 4031995739 44351953129 68543927563 165311825299 487871484419 753983203193 1818430078289 2810301030083 8293815235123 20002730861179 30913311330913 340046424640043