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210141242141008 = 2489753146333021
BaseRepresentation
bin101111110001111101010010…
…000101110010100101010000
31000120001022021110212111021111
4233301331102011302211100
5210020423230442003013
62022533315351503104
762156126610242563
oct5761752205624520
91016038243774244
10210141242141008
1160a594448aa422
121b69a944987a94
139034307436a69
1439c6c673204da
1519463c8cb573d
hexbf1f52172950

210141242141008 has 20 divisors (see below), whose sum is σ = 407153195754228. Its totient is φ = 105069449688320.

The previous prime is 210141242140909. The next prime is 210141242141009. The reversal of 210141242141008 is 800141242141012.

It is a happy number.

210141242141008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 64539178842384 + 145602063298624 = 8033628^2 + 12066568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210141242141009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71730463 + ... + 74602558.

Almost surely, 2210141242141008 is an apocalyptic number.

It is an amenable number.

210141242141008 is a deficient number, since it is larger than the sum of its proper divisors (197011953613220).

210141242141008 is a wasteful number, since it uses less digits than its factorization.

210141242141008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146422782 (or 146422776 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

It can be divided in two parts, 21014124 and 2141008, that added together give a palindrome (23155132).

The spelling of 210141242141008 in words is "two hundred ten trillion, one hundred forty-one billion, two hundred forty-two million, one hundred forty-one thousand, eight".

Divisors: 1 2 4 8 16 89753 179506 359012 718024 1436048 146333021 292666042 585332084 1170664168 2341328336 13133827633813 26267655267626 52535310535252 105070621070504 210141242141008