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14103441000 = 23325311433313
BaseRepresentation
bin11010010001010000…
…10110111001101000
31100101220010000221200
431020220112321220
5212340440103000
610251245404200
71006332161535
oct151050267150
940356100850
1014103441000
115a8802aa70
122897269660
131439b8897c
1497b121d8c
15578267500
hex348a16e68

14103441000 has 384 divisors, whose sum is σ = 53228672640. Its totient is φ = 3338496000.

The previous prime is 14103440999. The next prime is 14103441017. The reversal of 14103441000 is 14430141.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4255344 + ... + 4258656.

It is an arithmetic number, because the mean of its divisors is an integer number (138616335).

Almost surely, 214103441000 is an apocalyptic number.

14103441000 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 14103441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26614336320).

14103441000 is an abundant number, since it is smaller than the sum of its proper divisors (39125231640).

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

14103441000 is a wasteful number, since it uses less digits than its factorization.

14103441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3394 (or 3377 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 14103441000 its reverse (14430141), we get a palindrome (14117871141).

It can be divided in two parts, 1410344 and 1000, that added together give a square (1411344 = 11882).

The spelling of 14103441000 in words is "fourteen billion, one hundred three million, four hundred forty-one thousand".