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314040234033 = 33103130786399
BaseRepresentation
bin1001001000111100100…
…00011011000000110001
31010000121000002211001000
410210132100123000301
520121123244442113
6400133524032213
731455131642301
oct4443620330061
91100530084030
10314040234033
111112025859a9
1250a43532669
13237c98869b6
14112b1acd601
1582800dd373
hex491e41b031

314040234033 has 32 divisors (see below), whose sum is σ = 470126592000. Its totient is φ = 207166506768.

The previous prime is 314040234019. The next prime is 314040234059. The reversal of 314040234033 is 330432040413.

314040234033 is a `hidden beast` number, since 314 + 0 + 4 + 0 + 2 + 340 + 3 + 3 = 666.

It is not a de Polignac number, because 314040234033 - 220 = 314039185457 is a prime.

It is a super-2 number, since 2×3140402340332 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 314040233988 and 314040234006.

It is not an unprimeable number, because it can be changed into a prime (314040234073) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3591568 + ... + 3677966.

It is an arithmetic number, because the mean of its divisors is an integer number (14691456000).

Almost surely, 2314040234033 is an apocalyptic number.

It is an amenable number.

314040234033 is a deficient number, since it is larger than the sum of its proper divisors (156086357967).

314040234033 is a wasteful number, since it uses less digits than its factorization.

314040234033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87818 (or 87812 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 314040234033 its reverse (330432040413), we get a palindrome (644472274446).

The spelling of 314040234033 in words is "three hundred fourteen billion, forty million, two hundred thirty-four thousand, thirty-three".

Divisors: 1 3 9 27 103 309 927 1307 2781 3921 11763 35289 86399 134621 259197 403863 777591 1211589 2332773 3634767 8899097 26697291 80091873 112923493 240275619 338770479 1016311437 3048934311 11631119779 34893359337 104680078011 314040234033