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1444120040 = 235114180051
BaseRepresentation
bin101011000010011…
…1000010111101000
310201122100220021102
41112010320113220
510424143320130
6355144300532
750533550336
oct12604702750
93648326242
101444120040
11681193840
12343771748
131a02586cc
14d9b18b56
1586bac645
hex561385e8

1444120040 has 64 divisors (see below), whose sum is σ = 3631158720. Its totient is φ = 512320000.

The previous prime is 1444120037. The next prime is 1444120057. The reversal of 1444120040 is 400214441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1444119994 and 1444120021.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21986 + ... + 58065.

It is an arithmetic number, because the mean of its divisors is an integer number (56736855).

Almost surely, 21444120040 is an apocalyptic number.

1444120040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1444120040 is an abundant number, since it is smaller than the sum of its proper divisors (2187038680).

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

1444120040 is a wasteful number, since it uses less digits than its factorization.

1444120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80114 (or 80110 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 1444120040 is about 38001.5794408601. The cubic root of 1444120040 is about 1130.3191830740.

Adding to 1444120040 its reverse (400214441), we get a palindrome (1844334481).

The spelling of 1444120040 in words is "one billion, four hundred forty-four million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 164 205 220 328 410 440 451 820 902 1640 1804 2255 3608 4510 9020 18040 80051 160102 320204 400255 640408 800510 880561 1601020 1761122 3202040 3282091 3522244 4402805 6564182 7044488 8805610 13128364 16410455 17611220 26256728 32820910 35222440 36103001 65641820 72206002 131283640 144412004 180515005 288824008 361030010 722060020 1444120040