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12434402440 = 235734258357
BaseRepresentation
bin10111001010010010…
…11110110010001000
31012002120112002110201
423211021132302020
5200431201334230
65413504221544
7620064451105
oct134511366210
935076462421
1012434402440
115300994659
1224b030a8b4
13123215cba5
1485d5b9aac
154cb97c5ca
hex2e525ec88

12434402440 has 32 divisors (see below), whose sum is σ = 28360664280. Its totient is φ = 4905626112.

The previous prime is 12434402417. The next prime is 12434402479. The reversal of 12434402440 is 4420443421.

It can be written as a sum of positive squares in 4 ways, for example, as 8064399204 + 4370003236 = 89802^2 + 66106^2 .

It is a super-2 number, since 2×124344024402 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12434402399 and 12434402408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2126259 + ... + 2132098.

Almost surely, 212434402440 is an apocalyptic number.

12434402440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12434402440 is an abundant number, since it is smaller than the sum of its proper divisors (15926261840).

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

12434402440 is a wasteful number, since it uses less digits than its factorization.

12434402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4258441 (or 4258437 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 12434402440 its reverse (4420443421), we get a palindrome (16854845861).

The spelling of 12434402440 in words is "twelve billion, four hundred thirty-four million, four hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 4258357 8516714 17033428 21291785 34066856 42583570 85167140 170334280 310860061 621720122 1243440244 1554300305 2486880488 3108600610 6217201220 12434402440