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1344413411232 = 25314004306367
BaseRepresentation
bin10011100100000101010…
…010001010011110100000
311202112011111000111202220
4103210011102022132200
5134011324313124412
62505340501111040
7166062550305333
oct23440522123640
94675144014686
101344413411232
1147918735a431
121986813b8480
1399a15627128
14490d9d6261a
1524e880e468c
hex1390548a7a0

1344413411232 has 24 divisors (see below), whose sum is σ = 3529085204736. Its totient is φ = 448137803712.

The previous prime is 1344413411227. The next prime is 1344413411239. The reversal of 1344413411232 is 2321143144431.

Adding to 1344413411232 its reverse (2321143144431), we get a palindrome (3665556555663).

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1344413411193 and 1344413411202.

It is not an unprimeable number, because it can be changed into a prime (1344413411239) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7002153088 + ... + 7002153279.

It is an arithmetic number, because the mean of its divisors is an integer number (147045216864).

Almost surely, 21344413411232 is an apocalyptic number.

1344413411232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344413411232 is an abundant number, since it is smaller than the sum of its proper divisors (2184671793504).

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

1344413411232 is a wasteful number, since it uses less digits than its factorization.

1344413411232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14004306380 (or 14004306372 counting only the distinct ones).

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

The spelling of 1344413411232 in words is "one trillion, three hundred forty-four billion, four hundred thirteen million, four hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14004306367 28008612734 42012919101 56017225468 84025838202 112034450936 168051676404 224068901872 336103352808 448137803744 672206705616 1344413411232