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1023142432 = 25132459477
BaseRepresentation
bin111100111110111…
…110101000100000
32122022020000120011
4330332332220200
54043411024212
6245305254304
734232365354
oct7476765040
92568200504
101023142432
114855a0064
12246794394
13133c80a30
1499c53464
155ec534a7
hex3cfbea20

1023142432 has 24 divisors (see below), whose sum is σ = 2169259596. Its totient is φ = 472219392.

The previous prime is 1023142409. The next prime is 1023142499. The reversal of 1023142432 is 2342413201.

It can be written as a sum of positive squares in 2 ways, for example, as 1018631056 + 4511376 = 31916^2 + 2124^2 .

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 1229323 + ... + 1230154.

Almost surely, 21023142432 is an apocalyptic number.

It is an amenable number.

1023142432 is an abundant number, since it is smaller than the sum of its proper divisors (1146117164).

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

1023142432 is a wasteful number, since it uses less digits than its factorization.

1023142432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2459500 (or 2459492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 1023142432 is about 31986.5976934090. The cubic root of 1023142432 is about 1007.6553894642.

Adding to 1023142432 its reverse (2342413201), we get a palindrome (3365555633).

The spelling of 1023142432 in words is "one billion, twenty-three million, one hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 2459477 4918954 9837908 19675816 31973201 39351632 63946402 78703264 127892804 255785608 511571216 1023142432