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11442141252 = 22322391329863
BaseRepresentation
bin10101010100000000…
…10011100001000100
31002112102102000000100
422222000103201010
5141413142010002
65131220444100
7553355411253
oct125200234104
932472360010
1011442141252
114941877093
122273b49630
1311047022a9
147a78c479a
1546e7c911c
hex2aa013844

11442141252 has 36 divisors (see below), whose sum is σ = 29044229760. Its totient is φ = 3798085872.

The previous prime is 11442141241. The next prime is 11442141409. The reversal of 11442141252 is 25214124411.

11442141252 is a `hidden beast` number, since 114 + 421 + 4 + 125 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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, 656328 + ... + 673535.

It is an arithmetic number, because the mean of its divisors is an integer number (806784160).

Almost surely, 211442141252 is an apocalyptic number.

11442141252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11442141252 is an abundant number, since it is smaller than the sum of its proper divisors (17602088508).

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

11442141252 is a wasteful number, since it uses less digits than its factorization.

11442141252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330112 (or 1330107 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

Adding to 11442141252 its reverse (25214124411), we get a palindrome (36656265663).

The spelling of 11442141252 in words is "eleven billion, four hundred forty-two million, one hundred forty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 239 478 717 956 1434 2151 2868 4302 8604 1329863 2659726 3989589 5319452 7979178 11968767 15958356 23937534 47875068 317837257 635674514 953511771 1271349028 1907023542 2860535313 3814047084 5721070626 11442141252