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1144131040 = 25513550063
BaseRepresentation
bin100010000110010…
…0000110111100000
32221201212212201201
41010030200313200
54320344143130
6305310410544
740231645003
oct10414406740
92851785651
101144131040
11537917648
1227b200a54
13153062920
14abd4953a
156a6a1bca
hex44320de0

1144131040 has 48 divisors (see below), whose sum is σ = 2910938688. Its totient is φ = 422447616.

The previous prime is 1144131031. The next prime is 1144131047. The reversal of 1144131040 is 401314411.

It is a junction number, because it is equal to n+sod(n) for n = 1144130999 and 1144131017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144131047) 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 7 ways as a sum of consecutive naturals, for example, 272952 + ... + 277111.

It is an arithmetic number, because the mean of its divisors is an integer number (60644556).

Almost surely, 21144131040 is an apocalyptic number.

1144131040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144131040 is an abundant number, since it is smaller than the sum of its proper divisors (1766807648).

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

1144131040 is a wasteful number, since it uses less digits than its factorization.

1144131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550091 (or 550083 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1144131040 is about 33825.0061345153. The cubic root of 1144131040 is about 1045.9042378274.

Adding to 1144131040 its reverse (401314411), we get a palindrome (1545445451).

The spelling of 1144131040 in words is "one billion, one hundred forty-four million, one hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 550063 1100126 2200252 2750315 4400504 5500630 7150819 8801008 11001260 14301638 17602016 22002520 28603276 35754095 44005040 57206552 71508190 88010080 114413104 143016380 228826208 286032760 572065520 1144131040