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13333440344 = 2374310751749
BaseRepresentation
bin11000110101011110…
…00010011101011000
31021102020012221121212
430122233002131120
5204301330042334
610043021522252
7651262241630
oct143257023530
937366187555
1013333440344
11572241a094
122701413388
1313464aa693
14906b656c0
15530868ece
hex31abc2758

13333440344 has 64 divisors (see below), whose sum is σ = 29509920000. Its totient is φ = 5529170304.

The previous prime is 13333440343. The next prime is 13333440371. The reversal of 13333440344 is 44304433331.

13333440344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13333440344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13333440343) 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 15 ways as a sum of consecutive naturals, for example, 231782 + ... + 283530.

It is an arithmetic number, because the mean of its divisors is an integer number (461092500).

Almost surely, 213333440344 is an apocalyptic number.

13333440344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13333440344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14754960000).

13333440344 is an abundant number, since it is smaller than the sum of its proper divisors (16176479656).

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

13333440344 is a wasteful number, since it uses less digits than its factorization.

13333440344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51912 (or 51908 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 13333440344 its reverse (44304433331), we get a palindrome (57637873675).

The spelling of 13333440344 in words is "thirteen billion, three hundred thirty-three million, four hundred forty thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 107 172 214 301 344 428 602 749 856 1204 1498 2408 2996 4601 5992 9202 18404 32207 36808 51749 64414 103498 128828 206996 257656 362243 413992 724486 1448972 2225207 2897944 4450414 5537143 8900828 11074286 15576449 17801656 22148572 31152898 38760001 44297144 62305796 77520002 124611592 155040004 238097149 310080008 476194298 952388596 1666680043 1904777192 3333360086 6666720172 13333440344