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1044013440 = 2735796883
BaseRepresentation
bin111110001110100…
…110000110000000
32200202111101012110
4332032212012000
54114231412230
6251332455320
734604652651
oct7616460600
92622441173
101044013440
11496355828
1225177a540
131383aa742
149c927528
15619c74b0
hex3e3a6180

1044013440 has 128 divisors (see below), whose sum is σ = 3370406400. Its totient is φ = 274839552.

The previous prime is 1044013433. The next prime is 1044013457. The reversal of 1044013440 is 443104401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 148239 + ... + 155121.

It is an arithmetic number, because the mean of its divisors is an integer number (26331300).

Almost surely, 21044013440 is an apocalyptic number.

1044013440 is a gapful number since it is divisible by the number (10) 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 1044013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1685203200).

1044013440 is an abundant number, since it is smaller than the sum of its proper divisors (2326392960).

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

1044013440 is an equidigital number, since it uses as much as digits as its factorization.

1044013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6984 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 1044013440 is about 32311.1968209164. The cubic root of 1044013440 is about 1014.4610176023.

Adding to 1044013440 its reverse (443104401), we get a palindrome (1487117841).

The spelling of 1044013440 in words is "one billion, forty-four million, thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 128 158 160 192 237 240 316 320 384 395 474 480 632 640 790 948 960 1185 1264 1580 1896 1920 2370 2528 3160 3792 4740 5056 6320 6883 7584 9480 10112 12640 13766 15168 18960 20649 25280 27532 30336 34415 37920 41298 50560 55064 68830 75840 82596 103245 110128 137660 151680 165192 206490 220256 275320 330384 412980 440512 543757 550640 660768 825960 881024 1087514 1101280 1321536 1631271 1651920 2175028 2202560 2643072 2718785 3262542 3303840 4350056 4405120 5437570 6525084 6607680 8156355 8700112 10875140 13050168 13215360 16312710 17400224 21750280 26100336 32625420 34800448 43500560 52200672 65250840 69600896 87001120 104401344 130501680 174002240 208802688 261003360 348004480 522006720 1044013440