Search a number
-
+
1142564401 = 11216756543
BaseRepresentation
bin100010000011010…
…0010011000110001
32221121221021201001
41010012202120301
54314444030101
6305213042001
740212431356
oct10406423061
92847837631
101142564401
11536a47600
1227a786301
13152934814
14aba5c62d
156a492901
hex441a2631

1142564401 has 12 divisors (see below), whose sum is σ = 1263419136. Its totient is φ = 1032456920.

The previous prime is 1142564387. The next prime is 1142564413. The reversal of 1142564401 is 1044652411.

It is not a de Polignac number, because 1142564401 - 25 = 1142564369 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1142564401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142564431) 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 11 ways as a sum of consecutive naturals, for example, 8065 + ... + 48478.

It is an arithmetic number, because the mean of its divisors is an integer number (105284928).

Almost surely, 21142564401 is an apocalyptic number.

1142564401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1142564401 is a deficient number, since it is larger than the sum of its proper divisors (120854735).

1142564401 is a wasteful number, since it uses less digits than its factorization.

1142564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56732 (or 56721 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 1142564401 is about 33801.8402013855. The cubic root of 1142564401 is about 1045.4266401971.

The spelling of 1142564401 in words is "one billion, one hundred forty-two million, five hundred sixty-four thousand, four hundred one".

Divisors: 1 11 121 167 1837 20207 56543 621973 6841703 9442681 103869491 1142564401