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4240101441331 = 717139632551823
BaseRepresentation
bin111101101100111001101…
…111010111111100110011
3120000100102221220200021101
4331230321233113330303
51023432211432110311
613003513053105231
7615223444405210
oct75547157277463
916010387820241
104240101441331
1113952427a7218
12585915488217
13249abc1c6a02
14109317276b07
1575464ca2ec1
hex3db39bd7f33

4240101441331 has 16 divisors (see below), whose sum is σ = 5131248528384. Its totient is φ = 3420339721344.

The previous prime is 4240101441281. The next prime is 4240101441337. The reversal of 4240101441331 is 1331441010424.

It is a de Polignac number, because none of the positive numbers 2k-4240101441331 is a prime.

It is a super-2 number, since 2×42401014413312 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4240101441331.

It is not an unprimeable number, because it can be changed into a prime (4240101441337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385686 + ... + 2937508.

It is an arithmetic number, because the mean of its divisors is an integer number (320703033024).

Almost surely, 24240101441331 is an apocalyptic number.

4240101441331 is a deficient number, since it is larger than the sum of its proper divisors (891147087053).

4240101441331 is a wasteful number, since it uses less digits than its factorization.

4240101441331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2565810.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 4240101441331 its reverse (1331441010424), we get a palindrome (5571542451755).

The spelling of 4240101441331 in words is "four trillion, two hundred forty billion, one hundred one million, four hundred forty-one thousand, three hundred thirty-one".

Divisors: 1 7 17 119 13963 97741 237371 1661597 2551823 17862761 43380991 303666937 35631104549 249417731843 605728777333 4240101441331