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1142114112 = 26321982837
BaseRepresentation
bin100010000010011…
…0100011101000000
32221121002102000200
41010010310131000
54314340122422
6305155245200
740205544516
oct10404643500
92847072020
101142114112
1153676a267
1227a5a9800
13152807889
14ab9824b6
156a4042ac
hex44134740

1142114112 has 42 divisors (see below), whose sum is σ = 3273665538. Its totient is φ = 380704512.

The previous prime is 1142114089. The next prime is 1142114117. The reversal of 1142114112 is 2114112411.

It can be written as a sum of positive squares in only one way, i.e., 1119303936 + 22810176 = 33456^2 + 4776^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142114117) 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, 990843 + ... + 991994.

Almost surely, 21142114112 is an apocalyptic number.

1142114112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1142114112 is an abundant number, since it is smaller than the sum of its proper divisors (2131551426).

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

1142114112 is a wasteful number, since it uses less digits than its factorization.

1142114112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1982855 (or 1982842 counting only the distinct ones).

The product of its digits is 64, while the sum is 18.

The square root of 1142114112 is about 33795.1788277559. The cubic root of 1142114112 is about 1045.2892866060.

Adding to 1142114112 its reverse (2114112411), we get a palindrome (3256226523).

The spelling of 1142114112 in words is "one billion, one hundred forty-two million, one hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 1982837 3965674 5948511 7931348 11897022 15862696 17845533 23794044 31725392 35691066 47588088 63450784 71382132 95176176 126901568 142764264 190352352 285528528 380704704 571057056 1142114112