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14102374440 = 23357211474639
BaseRepresentation
bin11010010001001000…
…10010100000101000
31100101211002211220110
431020210102200220
5212340201440230
610251210454320
71006320130200
oct151044224050
940354084813
1014102374440
115a87471710
122896a343a0
1314398a437b
1497ad25400
155781064b0
hex348912828

14102374440 has 384 divisors, whose sum is σ = 54842572800. Its totient is φ = 2867397120.

The previous prime is 14102374421. The next prime is 14102374453. The reversal of 14102374440 is 4447320141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 14102374398 and 14102374407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3037641 + ... + 3042279.

It is an arithmetic number, because the mean of its divisors is an integer number (142819200).

Almost surely, 214102374440 is an apocalyptic number.

14102374440 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 14102374440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27421286400).

14102374440 is an abundant number, since it is smaller than the sum of its proper divisors (40740198360).

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

14102374440 is a wasteful number, since it uses less digits than its factorization.

14102374440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4725 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

Adding to 14102374440 its reverse (4447320141), we get a palindrome (18549694581).

The spelling of 14102374440 in words is "fourteen billion, one hundred two million, three hundred seventy-four thousand, four hundred forty".