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314031132214440 = 23352616926101787
BaseRepresentation
bin100011101100111000001001…
…0000101011000010010101000
31112011220002020112121220012220
41013121300102011120102220
5312130041224321330230
63031515524402434040
7123101000126453214
oct10731602205302250
91464802215556186
10314031132214440
11910729453a6653
122b279406962920
131062c016170714
14577928b835944
152648a0c981d10
hex11d9c121584a8

314031132214440 has 32 divisors (see below), whose sum is σ = 942093396643680. Its totient is φ = 83741635257152.

The previous prime is 314031132214411. The next prime is 314031132214543. The reversal of 314031132214440 is 44412231130413.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1308463050774 + ... + 1308463051013.

It is an arithmetic number, because the mean of its divisors is an integer number (29440418645115).

Almost surely, 2314031132214440 is an apocalyptic number.

314031132214440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

314031132214440 is an abundant number, since it is smaller than the sum of its proper divisors (628062264429240).

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

314031132214440 is a wasteful number, since it uses less digits than its factorization.

314031132214440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616926101801 (or 2616926101797 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

Adding to 314031132214440 its reverse (44412231130413), we get a palindrome (358443363344853).

The spelling of 314031132214440 in words is "three hundred fourteen trillion, thirty-one billion, one hundred thirty-two million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2616926101787 5233852203574 7850778305361 10467704407148 13084630508935 15701556610722 20935408814296 26169261017870 31403113221444 39253891526805 52338522035740 62806226442888 78507783053610 104677044071480 157015566107220 314031132214440