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1142387456 = 2871633911
BaseRepresentation
bin100010000010111…
…0111001100000000
32221121121021222112
41010011313030000
54314422344311
6305205154452
740211063450
oct10405671400
92847537875
101142387456
11536936671
1227a6bba28
131528a2112
14aba13d60
156a45a28b
hex44177300

1142387456 has 72 divisors (see below), whose sum is σ = 2622729984. Its totient is φ = 486466560.

The previous prime is 1142387429. The next prime is 1142387461. The reversal of 1142387456 is 6547832411.

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 7 ways as a sum of consecutive naturals, for example, 290141 + ... + 294051.

Almost surely, 21142387456 is an apocalyptic number.

1142387456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1142387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1311364992).

1142387456 is an abundant number, since it is smaller than the sum of its proper divisors (1480342528).

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

1142387456 is an equidigital number, since it uses as much as digits as its factorization.

1142387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4083 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 1142387456 is about 33799.2227129560. Note that the first 3 decimals coincide. The cubic root of 1142387456 is about 1045.3726702074.

The spelling of 1142387456 in words is "one billion, one hundred forty-two million, three hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 163 224 256 326 448 652 896 1141 1304 1792 2282 2608 3911 4564 5216 7822 9128 10432 15644 18256 20864 27377 31288 36512 41728 54754 62576 73024 109508 125152 146048 219016 250304 292096 438032 500608 637493 876064 1001216 1274986 1752128 2549972 3504256 4462451 5099944 7008512 8924902 10199888 17849804 20399776 35699608 40799552 71399216 81599104 142798432 163198208 285596864 571193728 1142387456