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1020044144 = 24729509617
BaseRepresentation
bin111100110011001…
…010001101110000
32122002101121111202
4330303022031300
54042112403034
6245115030332
734164142430
oct7463121560
92562347452
101020044144
11483874299
1224573b3a8
13133437722
14996882c0
155e84047e
hex3ccca370

1020044144 has 80 divisors (see below), whose sum is σ = 2344939200. Its totient is φ = 420575232.

The previous prime is 1020044131. The next prime is 1020044159. The reversal of 1020044144 is 4414400201.

It is a happy number.

1020044144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 1652924 + ... + 1653540.

It is an arithmetic number, because the mean of its divisors is an integer number (29311740).

Almost surely, 21020044144 is an apocalyptic number.

1020044144 is a gapful number since it is divisible by the number (14) 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 1020044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1172469600).

1020044144 is an abundant number, since it is smaller than the sum of its proper divisors (1324895056).

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

1020044144 is a wasteful number, since it uses less digits than its factorization.

1020044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1164 counting only the distinct ones).

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

The square root of 1020044144 is about 31938.1299389930. The cubic root of 1020044144 is about 1006.6372310346.

Adding to 1020044144 its reverse (4414400201), we get a palindrome (5434444345).

The spelling of 1020044144 in words is "one billion, twenty million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 509 617 812 1018 1234 1624 2036 2468 3248 3563 4072 4319 4936 7126 8144 8638 9872 14252 14761 17276 17893 28504 29522 34552 35786 57008 59044 69104 71572 103327 118088 125251 143144 206654 236176 250502 286288 314053 413308 501004 628106 826616 1002008 1256212 1653232 2004016 2198371 2512424 4396742 5024848 8793484 9107537 17586968 18215074 35173936 36430148 63752759 72860296 127505518 145720592 255011036 510022072 1020044144