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276414310341 = 321365316932137
BaseRepresentation
bin1000000010110111001…
…00111010011111000101
3222102110210021211222200
410001123210322133011
514012044030412331
6330552153545113
725653542604621
oct4013344723705
9872423254880
10276414310341
11a72547435a4
12456a2715199
13200b1614620
14d542954181
1572cbc5b5e6
hex405b93a7c5

276414310341 has 48 divisors (see below), whose sum is σ = 431092277616. Its totient is φ = 169660873728.

The previous prime is 276414310297. The next prime is 276414310387. The reversal of 276414310341 is 143013414672.

276414310341 is a `hidden beast` number, since 2 + 7 + 641 + 4 + 3 + 1 + 0 + 3 + 4 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 109778906241 + 166635404100 = 331329^2 + 408210^2 .

It is not a de Polignac number, because 276414310341 - 213 = 276414302149 is a prime.

It is a super-2 number, since 2×2764143103412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 276414310296 and 276414310305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (276414310241) 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 47 ways as a sum of consecutive naturals, for example, 129345825 + ... + 129347961.

It is an arithmetic number, because the mean of its divisors is an integer number (8981089117).

Almost surely, 2276414310341 is an apocalyptic number.

It is an amenable number.

276414310341 is a deficient number, since it is larger than the sum of its proper divisors (154677967275).

276414310341 is a wasteful number, since it uses less digits than its factorization.

276414310341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 276414310341 in words is "two hundred seventy-six billion, four hundred fourteen million, three hundred ten thousand, three hundred forty-one".

Divisors: 1 3 9 13 39 117 653 1693 1959 2137 5079 5877 6411 8489 15237 19233 22009 25467 27781 66027 76401 83343 198081 250029 1105529 1395461 3316587 3617941 4186383 9949761 10853823 12559149 14371877 18140993 32561469 43115631 47033233 54422979 129346893 141099699 163268937 423299097 2362515473 7087546419 21262639257 30712701149 92138103447 276414310341