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1421881344 = 21233132343
BaseRepresentation
bin101010011000000…
…0011000000000000
310200002112001112000
41110300003000000
510403000200334
6353031504000
750143535442
oct12460030000
93602461460
101421881344
1166a684554
12338228000
13198770310
14d6baa492
1584c68299
hex54c03000

1421881344 has 416 divisors, whose sum is σ = 4843829760. Its totient is φ = 408748032.

The previous prime is 1421881337. The next prime is 1421881369. The reversal of 1421881344 is 4431881241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (416).

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 = 1421881299 and 1421881308.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33066987 + ... + 33067029.

Almost surely, 21421881344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421881344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2421914880).

1421881344 is an abundant number, since it is smaller than the sum of its proper divisors (3421948416).

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

1421881344 is a wasteful number, since it uses less digits than its factorization.

1421881344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 84 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 1421881344 is about 37707.8419430229. The cubic root of 1421881344 is about 1124.4870336938.

The spelling of 1421881344 in words is "one billion, four hundred twenty-one million, eight hundred eighty-one thousand, three hundred forty-four".