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1142819136 = 26321984061
BaseRepresentation
bin100010000011110…
…0000100101000000
32221122102020010200
41010013200211000
54320030203021
6305222325200
740214542134
oct10407404500
92848366120
101142819136
11537100a28
1227a889800
131529c3754
14abac73c4
156a4e3126
hex441e0940

1142819136 has 42 divisors (see below), whose sum is σ = 3275686362. Its totient is φ = 380939520.

The previous prime is 1142819131. The next prime is 1142819137. The reversal of 1142819136 is 6319182411.

1142819136 is a `hidden beast` number, since 11 + 428 + 191 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1138657536 + 4161600 = 33744^2 + 2040^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1142819136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142819131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 991455 + ... + 992606.

Almost surely, 21142819136 is an apocalyptic number.

1142819136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1142819136 is an abundant number, since it is smaller than the sum of its proper divisors (2132867226).

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

1142819136 is a wasteful number, since it uses less digits than its factorization.

1142819136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984079 (or 1984066 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 1142819136 is about 33805.6080554691. The cubic root of 1142819136 is about 1045.5043271285.

The spelling of 1142819136 in words is "one billion, one hundred forty-two million, eight hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1984061 3968122 5952183 7936244 11904366 15872488 17856549 23808732 31744976 35713098 47617464 63489952 71426196 95234928 126979904 142852392 190469856 285704784 380939712 571409568 1142819136