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1344224224431 = 321122353668073
BaseRepresentation
bin10011100011111010000…
…000011110010010101111
311202111200022000211021100
4103203322000132102233
5134010432400140211
62505310022134143
7166055062245324
oct23437200362257
94674608024240
101344224224431
1147909a592600
12198629b81353
13999b538788a
14490bcb96b4b
1524e766c4156
hex138fa01e4af

1344224224431 has 36 divisors (see below), whose sum is σ = 2227010398704. Its totient is φ = 779260405440.

The previous prime is 1344224224373. The next prime is 1344224224531.

1344224224431 is a `hidden beast` number, since 1 + 3 + 4 + 422 + 4 + 224 + 4 + 3 + 1 = 666.

1344224224431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1344224224431 - 225 = 1344190669999 is a prime.

It is a super-2 number, since 2×13442242244312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1344224224531) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26808990 + ... + 26859083.

It is an arithmetic number, because the mean of its divisors is an integer number (61861399964).

Almost surely, 21344224224431 is an apocalyptic number.

1344224224431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1344224224431 is a deficient number, since it is larger than the sum of its proper divisors (882786174273).

1344224224431 is a wasteful number, since it uses less digits than its factorization.

1344224224431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53668124 (or 53668110 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The spelling of 1344224224431 in words is "one trillion, three hundred forty-four billion, two hundred twenty-four million, two hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 11 23 33 69 99 121 207 253 363 759 1089 2277 2783 8349 25047 53668073 161004219 483012657 590348803 1234365679 1771046409 3703097037 5313139227 6493836833 11109291111 13578022469 19481510499 40734067407 58444531497 122202202221 149358247159 448074741477 1344224224431