Search a number
-
+
1416425472 = 21232711499
BaseRepresentation
bin101010001101100…
…1111000000000000
310122201020212110200
41110123033000000
510400101103342
6352314525200
750046263220
oct12433170000
93581225420
101416425472
11667598470
12336436800
131975acba7
14d618a080
158453b94c
hex546cf000

1416425472 has 312 divisors, whose sum is σ = 5111184000. Its totient is φ = 367165440.

The previous prime is 1416425467. The next prime is 1416425489. The reversal of 1416425472 is 2745246141.

1416425472 is a `hidden beast` number, since 1 + 4 + 1 + 642 + 5 + 4 + 7 + 2 = 666.

It is a super-2 number, since 2×14164254722 = 4012522235460845568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2838279 + ... + 2838777.

It is an arithmetic number, because the mean of its divisors is an integer number (16382000).

Almost surely, 21416425472 is an apocalyptic number.

1416425472 is a gapful number since it is divisible by the number (12) 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 1416425472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555592000).

1416425472 is an abundant number, since it is smaller than the sum of its proper divisors (3694758528).

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

1416425472 is a wasteful number, since it uses less digits than its factorization.

1416425472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 522 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1416425472 is about 37635.4284152579. The cubic root of 1416425472 is about 1123.0469414248.

The spelling of 1416425472 in words is "one billion, four hundred sixteen million, four hundred twenty-five thousand, four hundred seventy-two".