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14004440340 = 223511311076397
BaseRepresentation
bin11010000101011101…
…01100110100010100
31100010222211021120120
431002232230310110
5212140114042330
610233351431540
71004020531062
oct150256546424
940128737516
1014004440340
115a37161340
12286a0855b0
131422504cb7
1496bd11032
1556e70dc10
hex342bacd14

14004440340 has 192 divisors, whose sum is σ = 44576759808. Its totient is φ = 3254284800.

The previous prime is 14004440327. The next prime is 14004440341. The reversal of 14004440340 is 4304440041.

It is a super-2 number, since 2×140044403402 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14004440340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14004440341) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2186022 + ... + 2192418.

It is an arithmetic number, because the mean of its divisors is an integer number (232170624).

Almost surely, 214004440340 is an apocalyptic number.

14004440340 is a gapful number since it is divisible by the number (10) 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 14004440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22288379904).

14004440340 is an abundant number, since it is smaller than the sum of its proper divisors (30572319468).

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

14004440340 is a wasteful number, since it uses less digits than its factorization.

14004440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6558 (or 6556 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 14004440340 its reverse (4304440041), we get a palindrome (18308880381).

The spelling of 14004440340 in words is "fourteen billion, four million, four hundred forty thousand, three hundred forty".