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1044141312 = 2831399781
BaseRepresentation
bin111110001111000…
…101010100000000
32200202201212121110
4332033011110000
54114300010222
6251335323320
734606024524
oct7617052400
92622655543
101044141312
11496432905
12251820540
131384239c6
149c95bd84
1561a0030c
hex3e3c5500

1044141312 has 72 divisors (see below), whose sum is σ = 2799217120. Its totient is φ = 345507840.

The previous prime is 1044141311. The next prime is 1044141323. The reversal of 1044141312 is 2131414401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1044141311) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 101862 + ... + 111642.

Almost surely, 21044141312 is an apocalyptic number.

1044141312 is a gapful number since it is divisible by the number (12) 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 1044141312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399608560).

1044141312 is an abundant number, since it is smaller than the sum of its proper divisors (1755075808).

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

1044141312 is an equidigital number, since it uses as much as digits as its factorization.

1044141312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9939 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1044141312 is about 32313.1755171169. The cubic root of 1044141312 is about 1014.5024333729.

Adding to 1044141312 its reverse (2131414401), we get a palindrome (3175555713).

The spelling of 1044141312 in words is "one billion, forty-four million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 139 192 256 278 384 417 556 768 834 1112 1668 2224 3336 4448 6672 8896 9781 13344 17792 19562 26688 29343 35584 39124 53376 58686 78248 106752 117372 156496 234744 312992 469488 625984 938976 1251968 1359559 1877952 2503936 2719118 3755904 4078677 5438236 7511808 8157354 10876472 16314708 21752944 32629416 43505888 65258832 87011776 130517664 174023552 261035328 348047104 522070656 1044141312