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1444004420 = 225411760981
BaseRepresentation
bin101011000010001…
…1100001001000100
310201122011000200012
41112010130021010
510424131120140
6355142005352
750532556265
oct12604341104
93648130605
101444004420
11681114991
12343716858
131a0217bb1
14d9ac896c
1586b88265
hex5611c244

1444004420 has 24 divisors (see below), whose sum is σ = 3106372248. Its totient is φ = 563513600.

The previous prime is 1444004407. The next prime is 1444004437. The reversal of 1444004420 is 244004441.

It can be written as a sum of positive squares in 4 ways, for example, as 7139584 + 1436864836 = 2672^2 + 37906^2 .

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 7 ways as a sum of consecutive naturals, for example, 879671 + ... + 881310.

It is an arithmetic number, because the mean of its divisors is an integer number (129432177).

Almost surely, 21444004420 is an apocalyptic number.

1444004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444004420 is an abundant number, since it is smaller than the sum of its proper divisors (1662367828).

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

1444004420 is a wasteful number, since it uses less digits than its factorization.

1444004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1761031 (or 1761029 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

The square root of 1444004420 is about 38000.0581578502. The cubic root of 1444004420 is about 1130.2890168394.

Adding to 1444004420 its reverse (244004441), we get a palindrome (1688008861).

The spelling of 1444004420 in words is "one billion, four hundred forty-four million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1760981 3521962 7043924 8804905 17609810 35219620 72200221 144400442 288800884 361001105 722002210 1444004420