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14131743000 = 2335317377489
BaseRepresentation
bin11010010100101000…
…10100100100011000
31100110212100220222220
431022110110210120
5212420211234000
610254140144040
71010124555624
oct151224244430
940425326886
1014131743000
115aa2000751
1228a4838020
1314429b7b0b
14980bac184
1557a9a81a0
hex34a514918

14131743000 has 256 divisors, whose sum is σ = 47952777600. Its totient is φ = 3450470400.

The previous prime is 14131742959. The next prime is 14131743011. The reversal of 14131743000 is 34713141.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1883256 + ... + 1890744.

Almost surely, 214131743000 is an apocalyptic number.

14131743000 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 14131743000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23976388800).

14131743000 is an abundant number, since it is smaller than the sum of its proper divisors (33821034600).

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

14131743000 is a wasteful number, since it uses less digits than its factorization.

14131743000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7567 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The spelling of 14131743000 in words is "fourteen billion, one hundred thirty-one million, seven hundred forty-three thousand".