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1444745142 = 23219293137127
BaseRepresentation
bin101011000011101…
…0000111110110110
310201200112122202100
41112013100332312
510424323321032
6355205522530
750542062651
oct12607207666
93650478670
101444745142
11681580455
12343a13446
131a04170a9
14d9c3c898
1586c8297c
hex561d0fb6

1444745142 has 192 divisors, whose sum is σ = 3642163200. Its totient is φ = 411505920.

The previous prime is 1444745059. The next prime is 1444745143. The reversal of 1444745142 is 2415474441.

1444745142 is a `hidden beast` number, since 1 + 44 + 474 + 5 + 142 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1444745097 and 1444745106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1444745143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11375883 + ... + 11376009.

It is an arithmetic number, because the mean of its divisors is an integer number (18969600).

Almost surely, 21444745142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1444745142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821081600).

1444745142 is an abundant number, since it is smaller than the sum of its proper divisors (2197418058).

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

1444745142 is a wasteful number, since it uses less digits than its factorization.

1444745142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 248 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 1444745142 is about 38009.8032354812. The cubic root of 1444745142 is about 1130.4822495872.

The spelling of 1444745142 in words is "one billion, four hundred forty-four million, seven hundred forty-five thousand, one hundred forty-two".