Search a number
-
+
1424453940 = 223257131923199
BaseRepresentation
bin101010011100111…
…0111000100110100
310200021100202110100
41110321313010310
510404130011230
6353202554100
750204441640
oct12471670464
93607322410
101424453940
11671081368
12339068930
13199161270
14d7279c20
15850c5660
hex54e77134

1424453940 has 576 divisors, whose sum is σ = 5870592000. Its totient is φ = 270978048.

The previous prime is 1424453909. The next prime is 1424454011. The reversal of 1424453940 is 493544241.

1424453940 is a `hidden beast` number, since 1 + 42 + 44 + 539 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1424453895 and 1424453904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7157961 + ... + 7158159.

It is an arithmetic number, because the mean of its divisors is an integer number (10192000).

Almost surely, 21424453940 is an apocalyptic number.

1424453940 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 1424453940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2935296000).

1424453940 is an abundant number, since it is smaller than the sum of its proper divisors (4446138060).

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

1424453940 is a wasteful number, since it uses less digits than its factorization.

1424453940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 1424453940 is about 37741.9387419353. The cubic root of 1424453940 is about 1125.1647995613.

The spelling of 1424453940 in words is "one billion, four hundred twenty-four million, four hundred fifty-three thousand, nine hundred forty".