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12010143040 = 26572765953
BaseRepresentation
bin10110010111101110…
…00011110101000000
31011000000012110222121
423023313003311000
5144044044034130
65303431014024
7603423350200
oct131367036500
934000173877
1012010143040
11510345a255
1223b220a314
1311952a651c
1481d0dc400
154a45c5d7a
hex2cbdc3d40

12010143040 has 84 divisors (see below), whose sum is σ = 33268446036. Its totient is φ = 4117757952.

The previous prime is 12010143037. The next prime is 12010143049. The reversal of 12010143040 is 4034101021.

12010143040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 3148556544 + 8861586496 = 56112^2 + 94136^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12010143049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 367297 + ... + 398656.

It is an arithmetic number, because the mean of its divisors is an integer number (396052929).

Almost surely, 212010143040 is an apocalyptic number.

12010143040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12010143040 is an abundant number, since it is smaller than the sum of its proper divisors (21258302996).

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

12010143040 is an equidigital number, since it uses as much as digits as its factorization.

12010143040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765984 (or 765967 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 12010143040 its reverse (4034101021), we get a palindrome (16044244061).

The spelling of 12010143040 in words is "twelve billion, ten million, one hundred forty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 140 160 196 224 245 280 320 392 448 490 560 784 980 1120 1568 1960 2240 3136 3920 7840 15680 765953 1531906 3063812 3829765 5361671 6127624 7659530 10723342 12255248 15319060 21446684 24510496 26808355 30638120 37531697 42893368 49020992 53616710 61276240 75063394 85786736 107233420 122552480 150126788 171573472 187658485 214466840 245104960 300253576 343146944 375316970 428933680 600507152 750633940 857867360 1201014304 1501267880 1715734720 2402028608 3002535760 6005071520 12010143040