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11142623716401 = 316773930095759
BaseRepresentation
bin1010001000100101100000…
…1000001110010000110001
31110110020001121100011100010
42202021120020032100301
52430030043132411101
635410503424445133
72230012413601512
oct242113010162061
943406047304303
1011142623716401
113606618667011
1212bb6221797a9
1362a98b740b58
142a743d41aa09
15144ca28e32d6
hexa225820e431

11142623716401 has 16 divisors (see below), whose sum is σ = 14966019532800. Its totient is φ = 7373942242128.

The previous prime is 11142623716397. The next prime is 11142623716439. The reversal of 11142623716401 is 10461732624111.

It is not a de Polignac number, because 11142623716401 - 22 = 11142623716397 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 11142623716401.

It is not an unprimeable number, because it can be changed into a prime (11142623716451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14677641 + ... + 15418118.

It is an arithmetic number, because the mean of its divisors is an integer number (935376220800).

Almost surely, 211142623716401 is an apocalyptic number.

It is an amenable number.

11142623716401 is a deficient number, since it is larger than the sum of its proper divisors (3823395816399).

11142623716401 is a wasteful number, since it uses less digits than its factorization.

11142623716401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30096668.

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 11142623716401 in words is "eleven trillion, one hundred forty-two billion, six hundred twenty-three million, seven hundred sixteen thousand, four hundred one".

Divisors: 1 3 167 501 739 2217 123413 370239 30095759 90287277 5025991753 15077975259 22240765901 66722297703 3714207905467 11142623716401