Search a number
-
+
1144343120 = 245106913381
BaseRepresentation
bin100010000110101…
…0100101001010000
32221202021122122112
41010031110221100
54320422434440
6305315124452
740233520214
oct10415245120
92852248575
101144343120
11537a51a18
1227b2a3728
1315310830b
14abda2944
156a6e4965
hex44354a50

1144343120 has 40 divisors (see below), whose sum is σ = 2663285640. Its totient is φ = 457274880.

The previous prime is 1144343119. The next prime is 1144343131. The reversal of 1144343120 is 213434411.

It can be written as a sum of positive squares in 4 ways, for example, as 9461776 + 1134881344 = 3076^2 + 33688^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

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, 78830 + ... + 92210.

It is an arithmetic number, because the mean of its divisors is an integer number (66582141).

Almost surely, 21144343120 is an apocalyptic number.

1144343120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144343120 is an abundant number, since it is smaller than the sum of its proper divisors (1518942520).

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

1144343120 is a wasteful number, since it uses less digits than its factorization.

1144343120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14463 (or 14457 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 1144343120 is about 33828.1409480332. The cubic root of 1144343120 is about 1045.9688579507.

Adding to 1144343120 its reverse (213434411), we get a palindrome (1357777531).

The spelling of 1144343120 in words is "one billion, one hundred forty-four million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1069 2138 4276 5345 8552 10690 13381 17104 21380 26762 42760 53524 66905 85520 107048 133810 214096 267620 535240 1070480 14304289 28608578 57217156 71521445 114434312 143042890 228868624 286085780 572171560 1144343120