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1042224144 = 243135928309
BaseRepresentation
bin111110000111110…
…001010000010000
32200122010110202020
4332013301100100
54113302133034
6251230251440
734553521233
oct7607612020
92618113666
101042224144
11495343475
12251056b80
13137c021a0
149c5bd41a
1561772249
hex3e1f1410

1042224144 has 80 divisors (see below), whose sum is σ = 2948769600. Its totient is φ = 315237888.

The previous prime is 1042224077. The next prime is 1042224167. The reversal of 1042224144 is 4414222401.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

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, 22662 + ... + 50970.

It is an arithmetic number, because the mean of its divisors is an integer number (36859620).

Almost surely, 21042224144 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 1042224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474384800).

1042224144 is an abundant number, since it is smaller than the sum of its proper divisors (1906545456).

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

1042224144 is a wasteful number, since it uses less digits than its factorization.

1042224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28392 (or 28386 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1042224144 is about 32283.4964649122. The cubic root of 1042224144 is about 1013.8811371318.

Adding to 1042224144 its reverse (4414222401), we get a palindrome (5456446545).

The spelling of 1042224144 in words is "one billion, forty-two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 28309 36816 56618 84927 113236 169854 226472 339708 368017 452944 679416 736034 1104051 1358832 1472068 1670231 2208102 2944136 3340462 4416204 5010693 5888272 6680924 8832408 10021386 13361848 17664816 20042772 21713003 26723696 40085544 43426006 65139009 80171088 86852012 130278018 173704024 260556036 347408048 521112072 1042224144