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14035949838 = 23319109125507
BaseRepresentation
bin11010001001001101…
…11001100100001110
31100020012010010111000
431010212321210032
5212221200343323
610240435041130
71004552414361
oct150446714416
940205103430
1014035949838
115a52a22949
1228787401a6
131428bb8081
149721940d8
15572384e43
hex3449b990e

14035949838 has 64 divisors (see below), whose sum is σ = 33134112000. Its totient is φ = 4391705952.

The previous prime is 14035949831. The next prime is 14035949849. The reversal of 14035949838 is 83894953041.

14035949838 is a `hidden beast` number, since 1 + 40 + 3 + 594 + 9 + 8 + 3 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14035949831) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49081 + ... + 174587.

It is an arithmetic number, because the mean of its divisors is an integer number (517720500).

Almost surely, 214035949838 is an apocalyptic number.

14035949838 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14035949838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16567056000).

14035949838 is an abundant number, since it is smaller than the sum of its proper divisors (19098162162).

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

14035949838 is a wasteful number, since it uses less digits than its factorization.

14035949838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125646 (or 125640 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 14035949838 in words is "fourteen billion, thirty-five million, nine hundred forty-nine thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 109 114 171 218 327 342 513 654 981 1026 1962 2071 2943 4142 5886 6213 12426 18639 37278 55917 111834 125507 251014 376521 753042 1129563 2259126 2384633 3388689 4769266 6777378 7153899 13680263 14307798 21461697 27360526 41040789 42923394 64385091 82081578 123122367 128770182 246244734 259924997 369367101 519849994 738734202 779774991 1559549982 2339324973 4678649946 7017974919 14035949838