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1424117268 = 2233717293821
BaseRepresentation
bin101010011100010…
…0100111000010100
310200020201122122000
41110320210320110
510404033223033
6353151435300
750201540250
oct12470447024
93606648560
101424117268
11670971422
12338b25b30
13199073c52
14d71cd260
158505aa13
hex54e24e14

1424117268 has 192 divisors, whose sum is σ = 4623091200. Its totient is φ = 369653760.

The previous prime is 1424117267. The next prime is 1424117287. The reversal of 1424117268 is 8627114241.

It is a happy number.

1424117268 is a `hidden beast` number, since 1 + 424 + 1 + 172 + 68 = 666.

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 (1424117267) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 370798 + ... + 374618.

It is an arithmetic number, because the mean of its divisors is an integer number (24078600).

Almost surely, 21424117268 is an apocalyptic number.

1424117268 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 1424117268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311545600).

1424117268 is an abundant number, since it is smaller than the sum of its proper divisors (3198973932).

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

1424117268 is a wasteful number, since it uses less digits than its factorization.

1424117268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3887 (or 3879 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 1424117268 is about 37737.4782941309. The cubic root of 1424117268 is about 1125.0761477346.

The spelling of 1424117268 in words is "one billion, four hundred twenty-four million, one hundred seventeen thousand, two hundred sixty-eight".