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344145542046 = 2391162961131
BaseRepresentation
bin1010000001000001010…
…11000011101110011110
31012220022002112220211220
411000200223003232132
521114302224321141
6422033121154210
733602150561505
oct5004053035636
91186262486756
10344145542046
11122a51206449
125684578b966
13265b6a00617
141292a10b83c
158e430b9766
hex5020ac3b9e

344145542046 has 16 divisors (see below), whose sum is σ = 689046628608. Its totient is φ = 114589256600.

The previous prime is 344145542033. The next prime is 344145542047. The reversal of 344145542046 is 640245541443.

It is a super-2 number, since 2×3441455420462 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 344145541989 and 344145542007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344145542047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31475100 + ... + 31486031.

It is an arithmetic number, because the mean of its divisors is an integer number (43065414288).

Almost surely, 2344145542046 is an apocalyptic number.

344145542046 is an abundant number, since it is smaller than the sum of its proper divisors (344901086562).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

344145542046 is a wasteful number, since it uses less digits than its factorization.

344145542046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62962047.

The product of its (nonzero) digits is 921600, while the sum is 42.

The spelling of 344145542046 in words is "three hundred forty-four billion, one hundred forty-five million, five hundred forty-two thousand, forty-six".

Divisors: 1 2 3 6 911 1822 2733 5466 62961131 125922262 188883393 377766786 57357590341 114715180682 172072771023 344145542046