Search a number
-
+
344436868634443 = 13100914101764013
BaseRepresentation
bin100111001010000110111010…
…1001100111101011101001011
31200011112211202120222100120221
41032110031311030331131023
5330121223201332300233
63220320040225330511
7132356512460630134
oct11624156514753513
91604484676870527
10344436868634443
119a825945991282
123276a20a496a37
1311a263464cb160
14610ab94b80c8b
1529c48d7a7442d
hex139437533d74b

344436868634443 has 16 divisors (see below), whose sum is σ = 370983610692576. Its totient is φ = 317897500527360.

The previous prime is 344436868634413. The next prime is 344436868634497.

It is a happy number.

344436868634443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344436868634443 - 213 = 344436868626251 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (344436868634413) 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, 5380701105 + ... + 5380765117.

It is an arithmetic number, because the mean of its divisors is an integer number (23186475668286).

Almost surely, 2344436868634443 is an apocalyptic number.

344436868634443 is a deficient number, since it is larger than the sum of its proper divisors (26546742058133).

344436868634443 is a wasteful number, since it uses less digits than its factorization.

344436868634443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115134.

The product of its digits is 4586471424, while the sum is 70.

The spelling of 344436868634443 in words is "three hundred forty-four trillion, four hundred thirty-six billion, eight hundred sixty-eight million, six hundred thirty-four thousand, four hundred forty-three".

Divisors: 1 13 10091 41017 64013 131183 533221 832169 413902547 645955183 2625621221 5380733111 8397417379 34133075873 26495143741111 344436868634443