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4024312020432 = 24321117271123817
BaseRepresentation
bin111010100011111011101…
…100000011110111010000
3112020201110020001022012100
4322203323230003313100
51011413242334123212
612320424325000400
7563514126526134
oct72437354036720
915221406038170
104024312020432
111311779249440
1254bb31b53100
1323264c940c42
14dcac619b3c4
156ea35581bdc
hex3a8fbb03dd0

4024312020432 has 360 divisors, whose sum is σ = 13235518176192. Its totient is φ = 1131579187200.

The previous prime is 4024312020413. The next prime is 4024312020461. The reversal of 4024312020432 is 2340202134204.

4024312020432 is a `hidden beast` number, since 4 + 0 + 2 + 431 + 20 + 204 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4024312020396 and 4024312020405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32440188 + ... + 32564004.

Almost surely, 24024312020432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024312020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6617759088096).

4024312020432 is an abundant number, since it is smaller than the sum of its proper divisors (9211206155760).

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

4024312020432 is a wasteful number, since it uses less digits than its factorization.

4024312020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123947 (or 123921 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 4024312020432 its reverse (2340202134204), we get a palindrome (6364514154636).

The spelling of 4024312020432 in words is "four trillion, twenty-four billion, three hundred twelve million, twenty thousand, four hundred thirty-two".