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14034011420 = 225111319271953
BaseRepresentation
bin11010001000111111…
…00000010100011100
31100020001110122110202
431010133200110130
5212220201331140
610240325323032
71004530062122
oct150437402434
940201418422
1014034011420
115a51919550
122877b66478
131428689990
14971c0b912
15572100915
hex3447e051c

14034011420 has 192 divisors, whose sum is σ = 36618946560. Its totient is φ = 4441651200.

The previous prime is 14034011417. The next prime is 14034011449. The reversal of 14034011420 is 2411043041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14034011392 and 14034011401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14725664 + ... + 14726616.

It is an arithmetic number, because the mean of its divisors is an integer number (190723680).

Almost surely, 214034011420 is an apocalyptic number.

14034011420 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 14034011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18309473280).

14034011420 is an abundant number, since it is smaller than the sum of its proper divisors (22584935140).

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

14034011420 is a wasteful number, since it uses less digits than its factorization.

14034011420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 14034011420 its reverse (2411043041), we get a palindrome (16445054461).

The spelling of 14034011420 in words is "fourteen billion, thirty-four million, eleven thousand, four hundred twenty".