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344014222410443 = 131249142915539547
BaseRepresentation
bin100111000111000010000110…
…1100001100100001011001011
31200010001102211122112121110002
41032032010031201210023023
5330042312111414113233
63215353541350113215
7132314131062201344
oct11616041541441313
91603042748477402
10344014222410443
119a682681133682
123270031704b80b
13119c552c1a9790
1460d453d0a10cb
1529b88ece4d6e8
hex138e10d8642cb

344014222410443 has 32 divisors (see below), whose sum is σ = 371310739800000. Its totient is φ = 316837943525376.

The previous prime is 344014222410407. The next prime is 344014222410449.

344014222410443 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 344014222410443 - 236 = 343945502933707 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 344014222410397 and 344014222410406.

It is not an unprimeable number, because it can be changed into a prime (344014222410449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36033746396 + ... + 36033755942.

It is an arithmetic number, because the mean of its divisors is an integer number (11603460618750).

Almost surely, 2344014222410443 is an apocalyptic number.

344014222410443 is a deficient number, since it is larger than the sum of its proper divisors (27296517389557).

344014222410443 is a wasteful number, since it uses less digits than its factorization.

344014222410443 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13791.

The product of its (nonzero) digits is 294912, while the sum is 38.

The spelling of 344014222410443 in words is "three hundred forty-four trillion, fourteen billion, two hundred twenty-two million, four hundred ten thousand, four hundred forty-three".

Divisors: 1 13 1249 1429 1553 9547 16237 18577 20189 124111 1784821 1939697 2219237 11924203 13642663 14826491 23202673 25216061 28850081 155014639 177354619 192744383 2771827013 17039686087 18518287259 21187055639 36033751169 221515919131 240737734367 275431723307 26462632493111 344014222410443