Search a number
-
+
1142388744 = 23372971419
BaseRepresentation
bin100010000010111…
…0111100000001000
32221121121100202020
41010011313200020
54314422414434
6305205204440
740211100300
oct10405674010
92847540666
101142388744
11536937632
1227a700720
131528a2893
14aba14600
156a45a849
hex44177808

1142388744 has 48 divisors (see below), whose sum is σ = 3322256400. Its totient is φ = 326396448.

The previous prime is 1142388733. The next prime is 1142388761. The reversal of 1142388744 is 4478832411.

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a junction number, because it is equal to n+sod(n) for n = 1142388696 and 1142388705.

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, 484534 + ... + 486885.

It is an arithmetic number, because the mean of its divisors is an integer number (69213675).

Almost surely, 21142388744 is an apocalyptic number.

1142388744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1142388744 is an abundant number, since it is smaller than the sum of its proper divisors (2179867656).

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

1142388744 is a wasteful number, since it uses less digits than its factorization.

1142388744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971442 (or 971431 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 1142388744 is about 33799.2417666432. The cubic root of 1142388744 is about 1045.3730630804.

The spelling of 1142388744 in words is "one billion, one hundred forty-two million, three hundred eighty-eight thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 588 1176 971419 1942838 2914257 3885676 5828514 6799933 7771352 11657028 13599866 20399799 23314056 27199732 40799598 47599531 54399464 81599196 95199062 142798593 163198392 190398124 285597186 380796248 571194372 1142388744