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14078749944 = 23372931397
BaseRepresentation
bin11010001110010100…
…01010110011111000
31100100011122121012010
431013022022303320
5212313124444234
610245004245520
71005612254130
oct150712126370
940304577163
1014078749944
115a750a6236
12288ab408a0
131434a2228c
14977b35ac0
15575edb6e9
hex34728acf8

14078749944 has 256 divisors, whose sum is σ = 43442380800. Its totient is φ = 3719761920.

The previous prime is 14078749943. The next prime is 14078749957. The reversal of 14078749944 is 44994787041.

14078749944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140787499442 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14078749943) 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 63 ways as a sum of consecutive naturals, for example, 145141704 + ... + 145141800.

It is an arithmetic number, because the mean of its divisors is an integer number (169696800).

Almost surely, 214078749944 is an apocalyptic number.

14078749944 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 14078749944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21721190400).

14078749944 is an abundant number, since it is smaller than the sum of its proper divisors (29363630856).

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

14078749944 is an equidigital number, since it uses as much as digits as its factorization.

14078749944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 14078749944 in words is "fourteen billion, seventy-eight million, seven hundred forty-nine thousand, nine hundred forty-four".