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2432144001 = 37192320821
BaseRepresentation
bin1001000011110111…
…1001001010000001
320021111111201100110
42100331321022001
514440112102001
61041201141533
7114161611560
oct22075711201
96244451313
102432144001
111038977871
1257a62a8a9
132c9b61781
14191029bd7
15e37c53d6
hex90f79281

2432144001 has 24 divisors (see below), whose sum is σ = 3911461824. Its totient is φ = 1316645280.

The previous prime is 2432143969. The next prime is 2432144041. The reversal of 2432144001 is 1004412342.

It is not a de Polignac number, because 2432144001 - 25 = 2432143969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2432144041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152830 + ... + 167991.

It is an arithmetic number, because the mean of its divisors is an integer number (162977576).

Almost surely, 22432144001 is an apocalyptic number.

2432144001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2432144001 is a deficient number, since it is larger than the sum of its proper divisors (1479317823).

2432144001 is a wasteful number, since it uses less digits than its factorization.

2432144001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320869 (or 320850 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2432144001 is about 49316.7720050694. The cubic root of 2432144001 is about 1344.8167042912.

Adding to 2432144001 its reverse (1004412342), we get a palindrome (3436556343).

The spelling of 2432144001 in words is "two billion, four hundred thirty-two million, one hundred forty-four thousand, one".

Divisors: 1 3 7 19 21 57 133 361 399 1083 2527 7581 320821 962463 2245747 6095599 6737241 18286797 42669193 115816381 128007579 347449143 810714667 2432144001