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1431999000 = 2335537183
BaseRepresentation
bin101010101011010…
…1001001000011000
310200210120002100000
41111112221020120
510413042432000
6354032413000
750325535125
oct12526511030
93623502300
101431999000
11675365053
1233b6a7160
1319a8a35b3
14d828174c
1585ab6000
hex555a9218

1431999000 has 384 divisors, whose sum is σ = 5151444480. Its totient is φ = 371952000.

The previous prime is 1431998947. The next prime is 1431999017. The reversal of 1431999000 is 9991341.

It is a super-2 number, since 2×14319990002 = 4101242272002000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 17252959 + ... + 17253041.

It is an arithmetic number, because the mean of its divisors is an integer number (13415220).

Almost surely, 21431999000 is an apocalyptic number.

1431999000 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 1431999000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2575722240).

1431999000 is an abundant number, since it is smaller than the sum of its proper divisors (3719445480).

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

1431999000 is an equidigital number, since it uses as much as digits as its factorization.

1431999000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 1431999000 is about 37841.7626439361. The cubic root of 1431999000 is about 1127.1478965372.

The spelling of 1431999000 in words is "one billion, four hundred thirty-one million, nine hundred ninety-nine thousand".