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1131400144 = 24719531673
BaseRepresentation
bin100001101101111…
…1100101111010000
32220211221002020001
41003123330233100
54304114301034
6304133455344
740015512460
oct10333745720
92824832201
101131400144
11530711746
12276aa1554
13150526054
14aa393ba0
15694d9a14
hex436fcbd0

1131400144 has 40 divisors (see below), whose sum is σ = 2637103040. Its totient is φ = 459364608.

The previous prime is 1131400139. The next prime is 1131400157. The reversal of 1131400144 is 4410041311.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263709 + ... + 267964.

It is an arithmetic number, because the mean of its divisors is an integer number (65927576).

Almost surely, 21131400144 is an apocalyptic number.

1131400144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1131400144 is an abundant number, since it is smaller than the sum of its proper divisors (1505702896).

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

1131400144 is a wasteful number, since it uses less digits than its factorization.

1131400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531707 (or 531701 counting only the distinct ones).

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

The square root of 1131400144 is about 33636.2920667543. The cubic root of 1131400144 is about 1042.0104552058.

Adding to 1131400144 its reverse (4410041311), we get a palindrome (5541441455).

The spelling of 1131400144 in words is "one billion, one hundred thirty-one million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2128 531673 1063346 2126692 3721711 4253384 7443422 8506768 10101787 14886844 20203574 29773688 40407148 59547376 70712509 80814296 141425018 161628592 282850036 565700072 1131400144