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1044140020 = 2257311101137
BaseRepresentation
bin111110001111000…
…100111111110100
32200202201210211121
4332033010333310
54114244440040
6251335313324
734606021000
oct7617047764
92622653747
101044140020
11496431940
1225181b844
13138423241
149c95b700
15619eec4a
hex3e3c4ff4

1044140020 has 192 divisors, whose sum is σ = 2837721600. Its totient is φ = 319872000.

The previous prime is 1044140011. The next prime is 1044140023. The reversal of 1044140020 is 200414401.

It is a junction number, because it is equal to n+sod(n) for n = 1044139976 and 1044140003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044140023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7621392 + ... + 7621528.

It is an arithmetic number, because the mean of its divisors is an integer number (14779800).

Almost surely, 21044140020 is an apocalyptic number.

1044140020 is a gapful number since it is divisible by the number (10) 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 1044140020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418860800).

1044140020 is an abundant number, since it is smaller than the sum of its proper divisors (1793581580).

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

1044140020 is a wasteful number, since it uses less digits than its factorization.

1044140020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1044140020 is about 32313.1555252656. The cubic root of 1044140020 is about 1014.5020149309.

Adding to 1044140020 its reverse (200414401), we get a palindrome (1244554421).

The spelling of 1044140020 in words is "one billion, forty-four million, one hundred forty thousand, twenty".