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1042312440 = 2335131374877
BaseRepresentation
bin111110001000000…
…110110011111000
32200122021221212110
4332020012303320
54113312444230
6251232212320
734554336531
oct7610066370
92618257773
101042312440
114953a3844
1225109a0a0
13137c33430
149c603688
156178d4b0
hex3e206cf8

1042312440 has 128 divisors (see below), whose sum is σ = 3392746560. Its totient is φ = 254644224.

The previous prime is 1042312421. The next prime is 1042312463. The reversal of 1042312440 is 442132401.

1042312440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211282 + ... + 216158.

Almost surely, 21042312440 is an apocalyptic number.

1042312440 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 1042312440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696373280).

1042312440 is an abundant number, since it is smaller than the sum of its proper divisors (2350434120).

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

1042312440 is a wasteful number, since it uses less digits than its factorization.

1042312440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5037 counting only the distinct ones).

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

The square root of 1042312440 is about 32284.8639458183. The cubic root of 1042312440 is about 1013.9097679279.

Adding to 1042312440 its reverse (442132401), we get a palindrome (1484444841).

The spelling of 1042312440 in words is "one billion, forty-two million, three hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 137 156 195 260 274 312 390 411 520 548 685 780 822 1096 1370 1560 1644 1781 2055 2740 3288 3562 4110 4877 5343 5480 7124 8220 8905 9754 10686 14248 14631 16440 17810 19508 21372 24385 26715 29262 35620 39016 42744 48770 53430 58524 63401 71240 73155 97540 106860 117048 126802 146310 190203 195080 213720 253604 292620 317005 380406 507208 585240 634010 668149 760812 951015 1268020 1336298 1521624 1902030 2004447 2536040 2672596 3340745 3804060 4008894 5345192 6681490 7608120 8017788 8685937 10022235 13362980 16035576 17371874 20044470 26057811 26725960 34743748 40088940 43429685 52115622 69487496 80177880 86859370 104231244 130289055 173718740 208462488 260578110 347437480 521156220 1042312440