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1424446128 = 243372937439
BaseRepresentation
bin101010011100111…
…0101001010110000
310200021100100202000
41110321311022300
510404124234003
6353202454000
750204410110
oct12471651260
93607310660
101424446128
11671076506
12339064300
1319915a841
14d7277040
15850c31a3
hex54e752b0

1424446128 has 320 divisors, whose sum is σ = 4975872000. Its totient is φ = 381459456.

The previous prime is 1424446087. The next prime is 1424446139. The reversal of 1424446128 is 8216444241.

1424446128 is a `hidden beast` number, since 14 + 24 + 4 + 4 + 612 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1424446092 and 1424446101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3244533 + ... + 3244971.

It is an arithmetic number, because the mean of its divisors is an integer number (15549600).

Almost surely, 21424446128 is an apocalyptic number.

1424446128 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 1424446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2487936000).

1424446128 is an abundant number, since it is smaller than the sum of its proper divisors (3551425872).

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

1424446128 is a wasteful number, since it uses less digits than its factorization.

1424446128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 517 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 1424446128 is about 37741.8352494947. The cubic root of 1424446128 is about 1125.1627426787.

The spelling of 1424446128 in words is "one billion, four hundred twenty-four million, four hundred forty-six thousand, one hundred twenty-eight".