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1444158012 = 2231119356687
BaseRepresentation
bin101011000010100…
…0001101000111100
310201122102211100210
41112011001220330
510424201024022
6355145152420
750534066133
oct12605015074
93648384323
101444158012
1168120a320
1234378b710
131a026ca8b
14d9b2891a
1586bb8a0c
hex56141a3c

1444158012 has 48 divisors (see below), whose sum is σ = 3695150592. Its totient is φ = 435348480.

The previous prime is 1444157993. The next prime is 1444158013. The reversal of 1444158012 is 2108514441.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444158013) by changing a digit.

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, 2868 + ... + 53819.

It is an arithmetic number, because the mean of its divisors is an integer number (76982304).

Almost surely, 21444158012 is an apocalyptic number.

1444158012 is a gapful number since it is divisible by the number (12) 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 1444158012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847575296).

1444158012 is an abundant number, since it is smaller than the sum of its proper divisors (2250992580).

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

1444158012 is a wasteful number, since it uses less digits than its factorization.

1444158012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56898 (or 56896 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 1444158012 is about 38002.0790483889. The cubic root of 1444158012 is about 1130.3290899383.

The spelling of 1444158012 in words is "one billion, four hundred forty-four million, one hundred fifty-eight thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 193 386 579 772 1158 2123 2316 4246 6369 8492 12738 25476 56687 113374 170061 226748 340122 623557 680244 1247114 1870671 2494228 3741342 7482684 10940591 21881182 32821773 43762364 65643546 120346501 131287092 240693002 361039503 481386004 722079006 1444158012