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1444104420 = 2235112188037
BaseRepresentation
bin101011000010011…
…0100100011100100
310201122100002211220
41112010310203210
510424142320140
6355144100340
750533453653
oct12604644344
93648302756
101444104420
11681183030
123437646b0
131a0251575
14d9b1319a
1586ba7bd0
hex561348e4

1444104420 has 48 divisors (see below), whose sum is σ = 4411084608. Its totient is φ = 350085760.

The previous prime is 1444104407. The next prime is 1444104461. The reversal of 1444104420 is 244014441.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1093359 + ... + 1094678.

It is an arithmetic number, because the mean of its divisors is an integer number (91897596).

Almost surely, 21444104420 is an apocalyptic number.

1444104420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444104420 is an abundant number, since it is smaller than the sum of its proper divisors (2966980188).

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

1444104420 is a wasteful number, since it uses less digits than its factorization.

1444104420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188060 (or 2188058 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1444104420 is about 38001.3739225307. The cubic root of 1444104420 is about 1130.3151077781.

Adding to 1444104420 its reverse (244014441), we get a palindrome (1688118861).

The spelling of 1444104420 in words is "one billion, four hundred forty-four million, one hundred four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 2188037 4376074 6564111 8752148 10940185 13128222 21880370 24068407 26256444 32820555 43760740 48136814 65641110 72205221 96273628 120342035 131282220 144410442 240684070 288820884 361026105 481368140 722052210 1444104420