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1144151300 = 225211441513
BaseRepresentation
bin100010000110010…
…0101110100000100
32221201220220112002
41010030211310010
54320400320200
6305311044432
740232061035
oct10414456404
92851826462
101144151300
11537930896
1227b210718
1315306bc06
14abd52a8c
156a6a7bd5
hex44325d04

1144151300 has 18 divisors (see below), whose sum is σ = 2482808538. Its totient is φ = 457660480.

The previous prime is 1144151293. The next prime is 1144151303. The reversal of 1144151300 is 31514411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 93354244 + 1050797056 = 9662^2 + 32416^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1144151303) 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 5 ways as a sum of consecutive naturals, for example, 5720657 + ... + 5720856.

Almost surely, 21144151300 is an apocalyptic number.

1144151300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144151300 is an abundant number, since it is smaller than the sum of its proper divisors (1338657238).

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

1144151300 is a wasteful number, since it uses less digits than its factorization.

1144151300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11441527 (or 11441520 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1144151300 is about 33825.3056157664. The cubic root of 1144151300 is about 1045.9104113320.

Adding to 1144151300 its reverse (31514411), we get a palindrome (1175665711).

The spelling of 1144151300 in words is "one billion, one hundred forty-four million, one hundred fifty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 11441513 22883026 45766052 57207565 114415130 228830260 286037825 572075650 1144151300