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12143804040 = 23335233773181
BaseRepresentation
bin10110100111101001…
…11011111010001000
31011100022201011102000
423103310323322020
5144332303212130
65325003511000
7606635426334
oct132364737210
934308634360
1012143804040
115171951795
12242ab28460
1311b6ba4484
14832b727c4
154b11c9260
hex2d3d3be88

12143804040 has 512 divisors, whose sum is σ = 44218137600. Its totient is φ = 2956124160.

The previous prime is 12143804009. The next prime is 12143804137. The reversal of 12143804040 is 4040834121.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 12143803995 and 12143804013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 67092750 + ... + 67092930.

It is an arithmetic number, because the mean of its divisors is an integer number (86363550).

Almost surely, 212143804040 is an apocalyptic number.

12143804040 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 12143804040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22109068800).

12143804040 is an abundant number, since it is smaller than the sum of its proper divisors (32074333560).

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

12143804040 is a wasteful number, since it uses less digits than its factorization.

12143804040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The spelling of 12143804040 in words is "twelve billion, one hundred forty-three million, eight hundred four thousand, forty".