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331414042000244 = 22724402613840649
BaseRepresentation
bin100101101011010110101100…
…0001111110011101101110100
31121110102212120102010122220012
41023112231120033303231310
5321414341424223001434
63132505301542555352
7126543605624643500
oct11326553017635564
91543385512118805
10331414042000244
11966649a6843445
1231206318138b58
13112c0296673bc8
145bba74d2b9300
15284ac8e4253ce
hex12d6b583f3b74

331414042000244 has 36 divisors (see below), whose sum is σ = 674666007869700. Its totient is φ = 142034229832320.

The previous prime is 331414042000243. The next prime is 331414042000267. The reversal of 331414042000244 is 442000240414133.

It can be written as a sum of positive squares in 2 ways, for example, as 178364038090000 + 153050003910244 = 13355300^2 + 12371338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 331414042000244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331414042000243) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84370832 + ... + 88211480.

It is an arithmetic number, because the mean of its divisors is an integer number (18740722440825).

Almost surely, 2331414042000244 is an apocalyptic number.

It is an amenable number.

331414042000244 is an abundant number, since it is smaller than the sum of its proper divisors (343251965869456).

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

331414042000244 is a wasteful number, since it uses less digits than its factorization.

331414042000244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4280928 (or 4280919 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 331414042000244 its reverse (442000240414133), we get a palindrome (773414282414377).

The spelling of 331414042000244 in words is "three hundred thirty-one trillion, four hundred fourteen billion, forty-two million, two hundred forty-four", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 49 98 196 440261 880522 1761044 3081827 3840649 6163654 7681298 12327308 15362596 21572789 26884543 43145578 53769086 86291156 107538172 188191801 376383602 752767204 1690887969389 3381775938778 6763551877556 11836215785723 23672431571446 47344863142892 82853510500061 165707021000122 331414042000244