Search a number
-
+
1144033407 = 3211107107999
BaseRepresentation
bin100010000110000…
…1001000001111111
32221201200220210200
41010030021001333
54320333032112
6305304334543
740231060236
oct10414110177
92851626720
101144033407
11537860260
1227b174453
1315302a35a
14abd21b1d
156a682cdc
hex4430907f

1144033407 has 24 divisors (see below), whose sum is σ = 1819584000. Its totient is φ = 686867280.

The previous prime is 1144033403. The next prime is 1144033417. The reversal of 1144033407 is 7043304411.

It is not a de Polignac number, because 1144033407 - 22 = 1144033403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1144033403) 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 23 ways as a sum of consecutive naturals, for example, 43407 + ... + 64592.

It is an arithmetic number, because the mean of its divisors is an integer number (75816000).

Almost surely, 21144033407 is an apocalyptic number.

1144033407 is a deficient number, since it is larger than the sum of its proper divisors (675550593).

1144033407 is a wasteful number, since it uses less digits than its factorization.

1144033407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108123 (or 108120 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 1144033407 is about 33823.5628963006. The cubic root of 1144033407 is about 1045.8744866684.

Adding to 1144033407 its reverse (7043304411), we get a palindrome (8187337818).

The spelling of 1144033407 in words is "one billion, one hundred forty-four million, thirty-three thousand, four hundred seven".

Divisors: 1 3 9 11 33 99 107 321 963 1177 3531 10593 107999 323997 971991 1187989 3563967 10691901 11555893 34667679 104003037 127114823 381344469 1144033407