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1144042141 = 112913925801
BaseRepresentation
bin100010000110000…
…1011001010011101
32221201201100210011
41010030023022131
54320333322031
6305304443221
740231124554
oct10414131235
92851640704
101144042141
11537866880
1227b179511
13153031318
14abd24d9b
156a6856b1
hex4430b29d

1144042141 has 16 divisors (see below), whose sum is σ = 1300420800. Its totient is φ = 996912000.

The previous prime is 1144042139. The next prime is 1144042157. The reversal of 1144042141 is 1412404411.

It is a cyclic number.

It is not a de Polignac number, because 1144042141 - 21 = 1144042139 is a prime.

It is a super-3 number, since 3×11440421413 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144042111) 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 15 ways as a sum of consecutive naturals, for example, 31441 + ... + 57241.

It is an arithmetic number, because the mean of its divisors is an integer number (81276300).

Almost surely, 21144042141 is an apocalyptic number.

1144042141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1144042141 is a deficient number, since it is larger than the sum of its proper divisors (156378659).

1144042141 is a wasteful number, since it uses less digits than its factorization.

1144042141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25980.

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 1144042141 is about 33823.6920072307. The cubic root of 1144042141 is about 1045.8771482004.

Adding to 1144042141 its reverse (1412404411), we get a palindrome (2556446552).

The spelling of 1144042141 in words is "one billion, one hundred forty-four million, forty-two thousand, one hundred forty-one".

Divisors: 1 11 29 139 319 1529 4031 25801 44341 283811 748229 3586339 8230519 39449729 104003831 1144042141