Search a number
-
+
13053433344 = 29371214047
BaseRepresentation
bin11000010100000101…
…11001011000000000
31020200201100010020020
430022002321120000
5203213134331334
65555140213440
7641322231660
oct141202713000
936621303206
1013053433344
115599360746
12264369a280
13130048ca73
148bb8b81a0
15515ea8e49
hex30a0b9600

13053433344 has 80 divisors (see below), whose sum is σ = 39743075328. Its totient is φ = 3729549312.

The previous prime is 13053433313. The next prime is 13053433369. The reversal of 13053433344 is 44333435031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 596272 + ... + 617775.

Almost surely, 213053433344 is an apocalyptic number.

13053433344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13053433344 is an abundant number, since it is smaller than the sum of its proper divisors (26689641984).

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

13053433344 is an equidigital number, since it uses as much as digits as its factorization.

13053433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214075 (or 1214059 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 33.

Adding to 13053433344 its reverse (44333435031), we get a palindrome (57386868375).

It can be divided in two parts, 130534 and 33344, that added together give a triangular number (163878 = T572).

The spelling of 13053433344 in words is "thirteen billion, fifty-three million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1344 1536 1792 2688 3584 5376 10752 1214047 2428094 3642141 4856188 7284282 8498329 9712376 14568564 16996658 19424752 25494987 29137128 33993316 38849504 50989974 58274256 67986632 77699008 101979948 116548512 135973264 155398016 203959896 233097024 271946528 310796032 407919792 466194048 543893056 621592064 815839584 932388096 1087786112 1631679168 1864776192 2175572224 3263358336 4351144448 6526716672 13053433344