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312402311140041 = 32149945472463983
BaseRepresentation
bin100011100001000001101010…
…0110010000101001011001001
31111222010100222012102010202200
41013002003110302011023021
5311421344413122440131
63024231350202150413
7122542215332663163
oct10702032462051311
91458110865363680
10312402311140041
11905a5092366411
122b0557b1ab2409
13105415471a8605
1457204d1505933
15261b47aeea2e6
hex11c20d4c852c9

312402311140041 has 24 divisors (see below), whose sum is σ = 454281280502400. Its totient is φ = 206868162248736.

The previous prime is 312402311139991. The next prime is 312402311140043. The reversal of 312402311140041 is 140041113204213.

It is a happy number.

312402311140041 is a `hidden beast` number, since 3 + 1 + 24 + 0 + 231 + 1 + 1 + 400 + 4 + 1 = 666.

It is not a de Polignac number, because 312402311140041 - 27 = 312402311139913 is a prime.

It is a super-2 number, since 2×3124023111400412 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312402311139987 and 312402311140014.

It is not an unprimeable number, because it can be changed into a prime (312402311140043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125555536 + ... + 128019518.

It is an arithmetic number, because the mean of its divisors is an integer number (18928386687600).

Almost surely, 2312402311140041 is an apocalyptic number.

It is an amenable number.

312402311140041 is a deficient number, since it is larger than the sum of its proper divisors (141878969362359).

312402311140041 is a wasteful number, since it uses less digits than its factorization.

312402311140041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558685 (or 2558682 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 312402311140041 its reverse (140041113204213), we get a palindrome (452443424344254).

The spelling of 312402311140041 in words is "three hundred twelve trillion, four hundred two billion, three hundred eleven million, one hundred forty thousand, forty-one".

Divisors: 1 3 9 149 447 1341 94547 283641 850923 2463983 7391949 14087503 22175847 42262509 126787527 367133467 1101400401 3304201203 232962200701 698886602103 2096659806309 34711367904449 104134103713347 312402311140041