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1044120072 = 2331916713711
BaseRepresentation
bin111110001111000…
…000001000001000
32200202200210110210
4332033000020020
54114243320242
6251335041120
734605605562
oct7617001010
92622623423
101044120072
11496418956
122518101a0
13138417138
149c954332
15619e8d9c
hex3e3c0208

1044120072 has 64 divisors (see below), whose sum is σ = 2764339200. Its totient is φ = 327723840.

The previous prime is 1044120071. The next prime is 1044120073. The reversal of 1044120072 is 2700214401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1044120071) and next prime (1044120073).

It is not an unprimeable number, because it can be changed into a prime (1044120071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69297 + ... + 83007.

It is an arithmetic number, because the mean of its divisors is an integer number (43192800).

Almost surely, 21044120072 is an apocalyptic number.

1044120072 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 1044120072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382169600).

1044120072 is an abundant number, since it is smaller than the sum of its proper divisors (1720219128).

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

1044120072 is a wasteful number, since it uses less digits than its factorization.

1044120072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13906 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 1044120072 is about 32312.8468569391. The cubic root of 1044120072 is about 1014.4955542983.

Adding to 1044120072 its reverse (2700214401), we get a palindrome (3744334473).

The spelling of 1044120072 in words is "one billion, forty-four million, one hundred twenty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 167 228 334 456 501 668 1002 1336 2004 3173 4008 6346 9519 12692 13711 19038 25384 27422 38076 41133 54844 76152 82266 109688 164532 260509 329064 521018 781527 1042036 1563054 2084072 2289737 3126108 4579474 6252216 6869211 9158948 13738422 18317896 27476844 43505003 54953688 87010006 130515009 174020012 261030018 348040024 522060036 1044120072