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1041230144 = 26176411493
BaseRepresentation
bin111110000011111…
…110100101000000
32200120020222020102
4332003332211000
54113023331034
6251153101532
734542211253
oct7603764500
92616228212
101041230144
11494824689
122508578a8
13137944916
149c40109a
156162797e
hex3e0fe940

1041230144 has 56 divisors (see below), whose sum is σ = 2192612328. Its totient is φ = 488898560.

The previous prime is 1041230143. The next prime is 1041230173. The reversal of 1041230144 is 4410321401.

1041230144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 722964544 + 318265600 = 26888^2 + 17840^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041230143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 696662 + ... + 698154.

Almost surely, 21041230144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041230144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096306164).

1041230144 is an abundant number, since it is smaller than the sum of its proper divisors (1151382184).

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

1041230144 is a wasteful number, since it uses less digits than its factorization.

1041230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2163 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1041230144 is about 32268.0979296890. The cubic root of 1041230144 is about 1013.5587117959.

Adding to 1041230144 its reverse (4410321401), we get a palindrome (5451551545).

The spelling of 1041230144 in words is "one billion, forty-one million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 641 1088 1282 1493 2564 2986 5128 5972 10256 10897 11944 20512 21794 23888 25381 41024 43588 47776 50762 87176 95552 101524 174352 203048 348704 406096 697408 812192 957013 1624384 1914026 3828052 7656104 15312208 16269221 30624416 32538442 61248832 65076884 130153768 260307536 520615072 1041230144