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14101205344 = 254393710937
BaseRepresentation
bin11010010000111111…
…10101000101100000
31100101201220110012121
431020133311011200
5212334402032334
610251125434024
71006304160562
oct151037650540
940351813177
1014101205344
115a86843316
12289656b914
1314395851b5
1497aadd332
15577e74db4
hex3487f5160

14101205344 has 48 divisors (see below), whose sum is σ = 28440287568. Its totient is φ = 6878656512.

The previous prime is 14101205341. The next prime is 14101205389. The reversal of 14101205344 is 44350210141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14101205341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1283844 + ... + 1294780.

It is an arithmetic number, because the mean of its divisors is an integer number (592505991).

Almost surely, 214101205344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14101205344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14220143784).

14101205344 is an abundant number, since it is smaller than the sum of its proper divisors (14339082224).

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

14101205344 is a wasteful number, since it uses less digits than its factorization.

14101205344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11927 (or 11919 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 14101205344 its reverse (44350210141), we get a palindrome (58451415485).

The spelling of 14101205344 in words is "fourteen billion, one hundred one million, two hundred five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 43 86 172 344 688 937 1376 1874 3748 7496 10937 14992 21874 29984 40291 43748 80582 87496 161164 174992 322328 349984 470291 644656 940582 1289312 1881164 3762328 7524656 10247969 15049312 20495938 40991876 81983752 163967504 327935008 440662667 881325334 1762650668 3525301336 7050602672 14101205344