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1413214420 = 2251719920887
BaseRepresentation
bin101010000111011…
…1111000011010100
310122111012201201211
41110032333003110
510343240330140
6352122031204
750010060442
oct12416770324
93574181654
101413214420
116657a4a02
12335348504
13196a27467
14d5991b92
15841052ea
hex543bf0d4

1413214420 has 48 divisors (see below), whose sum is σ = 3158265600. Its totient is φ = 529334784.

The previous prime is 1413214381. The next prime is 1413214427. The reversal of 1413214420 is 244123141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1413214391 and 1413214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1413214427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57217 + ... + 78103.

It is an arithmetic number, because the mean of its divisors is an integer number (65797200).

Almost surely, 21413214420 is an apocalyptic number.

1413214420 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 1413214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579132800).

1413214420 is an abundant number, since it is smaller than the sum of its proper divisors (1745051180).

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

1413214420 is a wasteful number, since it uses less digits than its factorization.

1413214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112 (or 21110 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1413214420 is about 37592.7442467293. The cubic root of 1413214420 is about 1122.1976460905.

Adding to 1413214420 its reverse (244123141), we get a palindrome (1657337561).

The spelling of 1413214420 in words is "one billion, four hundred thirteen million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 199 340 398 796 995 1990 3383 3980 6766 13532 16915 20887 33830 41774 67660 83548 104435 208870 355079 417740 710158 1420316 1775395 3550790 4156513 7101580 8313026 16626052 20782565 41565130 70660721 83130260 141321442 282642884 353303605 706607210 1413214420