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1142043441 = 372113122783
BaseRepresentation
bin100010000010010…
…0011001100110001
32221120221211002020
41010010203030301
54314330342231
6305153542053
740205131500
oct10404431461
92846854066
101142043441
11536721160
1227a574929
131527b1666
14ab964837
156a3dd396
hex44123331

1142043441 has 48 divisors (see below), whose sum is σ = 1994784768. Its totient is φ = 574106400.

The previous prime is 1142043437. The next prime is 1142043451. The reversal of 1142043441 is 1443402411.

It is not a de Polignac number, because 1142043441 - 22 = 1142043437 is a prime.

It is a super-2 number, since 2×11420434412 = 2608526442262240962, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1142043451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38736 + ... + 61518.

It is an arithmetic number, because the mean of its divisors is an integer number (41558016).

Almost surely, 21142043441 is an apocalyptic number.

1142043441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1142043441 is a deficient number, since it is larger than the sum of its proper divisors (852741327).

1142043441 is a wasteful number, since it uses less digits than its factorization.

1142043441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22842 (or 22835 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 1142043441 is about 33794.1332334475. The cubic root of 1142043441 is about 1045.2677262493.

Adding to 1142043441 its reverse (1443402411), we get a palindrome (2585445852).

The spelling of 1142043441 in words is "one billion, one hundred forty-two million, forty-three thousand, four hundred forty-one".

Divisors: 1 3 7 11 21 31 33 49 77 93 147 217 231 341 539 651 1023 1519 1617 2387 4557 7161 16709 22783 50127 68349 159481 250613 478443 706273 751839 1116367 1754291 2118819 3349101 4943911 5262873 7769003 12280037 14831733 23307009 34607377 36840111 54383021 103822131 163149063 380681147 1142043441