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1142400141 = 32731738813
BaseRepresentation
bin100010000010111…
…1010010010001101
32221121121221101100
41010011322102031
54314423301031
6305205333313
740211145441
oct10405722215
92847557340
101142400141
11536945153
1227a707239
131528a7b1c
14aba18821
156a45dde6
hex4417a48d

1142400141 has 12 divisors (see below), whose sum is σ = 1672739068. Its totient is φ = 751166784.

The previous prime is 1142400113. The next prime is 1142400157. The reversal of 1142400141 is 1410042411.

It can be written as a sum of positive squares in 2 ways, for example, as 666724041 + 475676100 = 25821^2 + 21810^2 .

It is not a de Polignac number, because 1142400141 - 219 = 1141875853 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142400191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 868750 + ... + 870063.

Almost surely, 21142400141 is an apocalyptic number.

It is an amenable number.

1142400141 is a deficient number, since it is larger than the sum of its proper divisors (530338927).

1142400141 is a wasteful number, since it uses less digits than its factorization.

1142400141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738892 (or 1738889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1142400141 is about 33799.4103646794. The cubic root of 1142400141 is about 1045.3765394444.

Adding to 1142400141 its reverse (1410042411), we get a palindrome (2552442552).

The spelling of 1142400141 in words is "one billion, one hundred forty-two million, four hundred thousand, one hundred forty-one".

Divisors: 1 3 9 73 219 657 1738813 5216439 15649317 126933349 380800047 1142400141