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1419130368 = 2934191801
BaseRepresentation
bin101010010010110…
…0011011000000000
310122220100021220000
41110211203120000
510401244132433
6352452520000
750111260215
oct12445433000
93586307800
101419130368
11669075717
12337320000
13198019116
14d6691b0c
15848c3113
hex54963600

1419130368 has 200 divisors, whose sum is σ = 4461139320. Its totient is φ = 447897600.

The previous prime is 1419130367. The next prime is 1419130381. The reversal of 1419130368 is 8630319141.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1419130367) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 787068 + ... + 788868.

Almost surely, 21419130368 is an apocalyptic number.

1419130368 is a gapful number since it is divisible by the number (18) 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 1419130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230569660).

1419130368 is an abundant number, since it is smaller than the sum of its proper divisors (3042008952).

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

1419130368 is an equidigital number, since it uses as much as digits as its factorization.

1419130368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1850 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1419130368 is about 37671.3467770931. The cubic root of 1419130368 is about 1123.7613674244.

The spelling of 1419130368 in words is "one billion, four hundred nineteen million, one hundred thirty thousand, three hundred sixty-eight".