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1124142144 = 26319308153
BaseRepresentation
bin100001100000001…
…0000110001000000
32220100021100010020
41003000100301000
54300240022034
6303314133440
736600023226
oct10300206100
92810240106
101124142144
115276046a4
12274581280
1314bb84588
14a9424b16
1568a54249
hex43010c40

1124142144 has 56 divisors (see below), whose sum is σ = 3130844640. Its totient is φ = 354991104.

The previous prime is 1124142133. The next prime is 1124142157. The reversal of 1124142144 is 4412414211.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150429 + ... + 157724.

It is an arithmetic number, because the mean of its divisors is an integer number (55907940).

Almost surely, 21124142144 is an apocalyptic number.

It is an amenable number.

1124142144 is an abundant number, since it is smaller than the sum of its proper divisors (2006702496).

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

1124142144 is a wasteful number, since it uses less digits than its factorization.

1124142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308187 (or 308177 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1124142144 is about 33528.2290614938. The cubic root of 1124142144 is about 1039.7774869124. Note that the first 3 decimals are identical.

Adding to 1124142144 its reverse (4412414211), we get a palindrome (5536556355).

The spelling of 1124142144 in words is "one billion, one hundred twenty-four million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 308153 616306 924459 1232612 1848918 2465224 3697836 4930448 5854907 7395672 9860896 11709814 14791344 17564721 19721792 23419628 29582688 35129442 46839256 59165376 70258884 93678512 140517768 187357024 281035536 374714048 562071072 1124142144