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1142413344 = 25324339161
BaseRepresentation
bin100010000010111…
…1101100000100000
32221121122121111100
41010011331200200
54314424211334
6305205514400
740211232102
oct10405754040
92847577440
101142413344
11536954066
1227a712a00
131528b0b37
14aba1d572
156a462c99
hex4417d820

1142413344 has 72 divisors (see below), whose sum is σ = 3256596252. Its totient is φ = 379883520.

The previous prime is 1142413331. The next prime is 1142413367. The reversal of 1142413344 is 4433142411.

It can be written as a sum of positive squares in 2 ways, for example, as 1038128400 + 104284944 = 32220^2 + 10212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 120124 + ... + 129284.

Almost surely, 21142413344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142413344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628298126).

1142413344 is an abundant number, since it is smaller than the sum of its proper divisors (2114182908).

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

1142413344 is a wasteful number, since it uses less digits than its factorization.

1142413344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9599 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 1142413344 is about 33799.6056781732. The cubic root of 1142413344 is about 1045.3805666536.

Adding to 1142413344 its reverse (4433142411), we get a palindrome (5575555755).

The spelling of 1142413344 in words is "one billion, one hundred forty-two million, four hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 433 866 1299 1732 2598 3464 3897 5196 6928 7794 9161 10392 13856 15588 18322 20784 27483 31176 36644 41568 54966 62352 73288 82449 109932 124704 146576 164898 219864 293152 329796 439728 659592 879456 1319184 2638368 3966713 7933426 11900139 15866852 23800278 31733704 35700417 47600556 63467408 71400834 95201112 126934816 142801668 190402224 285603336 380804448 571206672 1142413344