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400513530010241 = 4753419473833033
BaseRepresentation
bin101101100010000111101001…
…0101011110001101010000001
31221112002201102112120120012202
41123010033102223301222001
5404444003202140311431
63535453213045202545
7150235101432664004
oct13304172253615201
91845081375516182
10400513530010241
1110668591a36303a
1238b06256a00455
13142633577cc13b
1470c8d5b76153b
1531484219a88cb
hex16c43d2af1a81

400513530010241 has 16 divisors (see below), whose sum is σ = 416762781721344. Its totient is φ = 384586621770624.

The previous prime is 400513530010207. The next prime is 400513530010247. The reversal of 400513530010241 is 142010035315004.

It is a cyclic number.

It is not a de Polignac number, because 400513530010241 - 210 = 400513530009217 is a prime.

It is a super-2 number, since 2×4005135300102412 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (400513530010247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102573461 + ... + 106406493.

It is an arithmetic number, because the mean of its divisors is an integer number (26047673857584).

Almost surely, 2400513530010241 is an apocalyptic number.

It is an amenable number.

400513530010241 is a deficient number, since it is larger than the sum of its proper divisors (16249251711103).

400513530010241 is a wasteful number, since it uses less digits than its factorization.

400513530010241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3875080.

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 400513530010241 its reverse (142010035315004), we get a palindrome (542523565325245).

The spelling of 400513530010241 in words is "four hundred trillion, five hundred thirteen billion, five hundred thirty million, ten thousand, two hundred forty-one".

Divisors: 1 47 53 2491 41947 1971509 2223191 3833033 104489977 180152551 203150749 9548085203 160784235251 7556859056797 8521564468303 400513530010241