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1409430000 = 24354114271
BaseRepresentation
bin101010000000010…
…0011000111110000
310122020002110111010
41110000203013300
510341303230000
6351504550520
746632646236
oct12400430760
93566073433
101409430000
1166364a690
12334022440
13196000a64
14d5288956
1583b08d50
hex540231f0

1409430000 has 200 divisors, whose sum is σ = 4964610816. Its totient is φ = 341600000.

The previous prime is 1409429969. The next prime is 1409430019. The reversal of 1409430000 is 349041.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 327865 + ... + 332135.

Almost surely, 21409430000 is an apocalyptic number.

1409430000 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 1409430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482305408).

1409430000 is an abundant number, since it is smaller than the sum of its proper divisors (3555180816).

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

1409430000 is a wasteful number, since it uses less digits than its factorization.

1409430000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4313 (or 4292 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 1409430000 is about 37542.3760569307. The cubic root of 1409430000 is about 1121.1950467034.

Adding to 1409430000 its reverse (349041), we get a palindrome (1409779041).

The spelling of 1409430000 in words is "one billion, four hundred nine million, four hundred thirty thousand".